From 2510d8e7ce3364b7a6ae0199dda3c62214269f6a Mon Sep 17 00:00:00 2001 From: Trupti Kini Date: Mon, 20 Jun 2016 23:31:27 +0600 Subject: Added(A)/Deleted(D) following books M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter1.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter10.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter10_1.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter12.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter12_1.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter13.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter13_1.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter14.ipynb M 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1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter6_1.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter7.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter7_1.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter8.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter8_1.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter9.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/chapter9_1.ipynb M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/screenshots/Screenshot_from_2016-01-14_17:01:00.png M 1000_solved_Problems_in_Fluid_Mechanics_includes_Hydraulic_machines_by_K.Subramanya/screenshots/Screenshot_from_2016-01-14_17:01:00_1.png M 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Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_13.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_13_Fuel_and_Combustions.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_13_Fuel_and_Combustions_1.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_13_Fuel_and_Combustions_2.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_14.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_14_Water_Treatment.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_14_Water_Treatment_1.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_14_Water_Treatment_2.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_15.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_15_Environmental_Pollution_and_Control.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_15_Environmental_Pollution_and_Control_1.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_15_Environmental_Pollution_and_Control_2.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_1_Structure_and_Bonding.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_1_Structure_and_Bonding_1.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_1_Structure_and_Bonding_2.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_2.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_2_Spectroscopy_and_Photochemistry.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_2_Spectroscopy_and_Photochemistry_1.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_2_Spectroscopy_and_Photochemistry_2.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_3.ipynb M Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/Chapter_3_Thermodynamics_and_Chemical_Equilibrium.ipynb M 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Analog_Electronics_by_U._A._Bakshi_And_A._P._Godse/chapter1.ipynb M Analog_Electronics_by_U._A._Bakshi_And_A._P._Godse/chapter2.ipynb M Analog_Electronics_by_U._A._Bakshi_And_A._P._Godse/chapter3.ipynb M Analog_Electronics_by_U._A._Bakshi_And_A._P._Godse/chapter4.ipynb M Analog_Electronics_by_U._A._Bakshi_And_A._P._Godse/chapter5.ipynb M Analog_Electronics_by_U._A._Bakshi_And_A._P._Godse/chapter6.ipynb M Analog_Electronics_by_U._A._Bakshi_And_A._P._Godse/screenshots/CloseLoopVoltageGain3-5.png M Analog_Electronics_by_U._A._Bakshi_And_A._P._Godse/screenshots/ValueOfResistance3_9.png M Analog_Electronics_by_U._A._Bakshi_And_A._P._Godse/screenshots/requiredResistance3_8.png M Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER01.ipynb M Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER01_1.ipynb M Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER01_2.ipynb M Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER03.ipynb M Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER03_1.ipynb 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Antenna_Theory_-_Analysis_and_Design_by_C.A._Balanis/chapter6.ipynb M Antenna_Theory_-_Analysis_and_Design_by_C.A._Balanis/chapter7.ipynb M Antenna_Theory_-_Analysis_and_Design_by_C.A._Balanis/chapter8.ipynb M Antenna_Theory_-_Analysis_and_Design_by_C.A._Balanis/chapter9.ipynb M Antenna_Theory_-_Analysis_and_Design_by_C.A._Balanis/screenshots/chapter14.png M Antenna_Theory_-_Analysis_and_Design_by_C.A._Balanis/screenshots/chapter15.png M Antenna_Theory_-_Analysis_and_Design_by_C.A._Balanis/screenshots/chapter16.png M Applied_Chemistry_by_Dr._Mrs.Trupti_Paradkar/README.txt M Applied_Chemistry_by_Dr._Mrs.Trupti_Paradkar/chapter1.ipynb M Applied_Chemistry_by_Dr._Mrs.Trupti_Paradkar/chapter3.ipynb M Applied_Chemistry_by_Dr._Mrs.Trupti_Paradkar/screenshots/1.png M Applied_Chemistry_by_Dr._Mrs.Trupti_Paradkar/screenshots/2.png M Applied_Chemistry_by_Dr._Mrs.Trupti_Paradkar/screenshots/3.png M Applied_Thermodynamics_and_Engineering_by_T._D._Eastop_and_A._Mcconkey/ch3.ipynb M 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Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter12.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter12_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter13.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter13_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter2.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter2_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter3.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter3_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter4.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter4_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter5.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter5_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter6.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter6_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter7.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter7_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter8.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter8_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter9.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/Chapter9_1.ipynb M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/README.txt M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/screenshots/freqSpec.png M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/screenshots/freqSpec_1.png M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/screenshots/freqSpectrum.png M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/screenshots/freqSpectrum_1.png M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/screenshots/waveformOfModulateSigna.png M Basic_Electronics_by_A._P._Godse_and_U._A._Bakshi/screenshots/waveformOfModulateSigna_1.png M 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ENGINEERING_PHYSICS_by_M.ARUMUGAM/4.LASERS_2.ipynb M "ENGINEERING_PHYSICS_by_M.ARUMUGAM/5.FIBER OPTICS.ipynb" M ENGINEERING_PHYSICS_by_M.ARUMUGAM/5.FIBER_OPTICS.ipynb M ENGINEERING_PHYSICS_by_M.ARUMUGAM/5.FIBER_OPTICS_1.ipynb M "ENGINEERING_PHYSICS_by_M.ARUMUGAM/6.MAGNETIC PROPERTIES AND CRYSTAL STRUCTURES..ipynb" M ENGINEERING_PHYSICS_by_M.ARUMUGAM/6.MAGNETIC_PROPERTIES_AND_CRYSTAL_STRUCTURES..ipynb M ENGINEERING_PHYSICS_by_M.ARUMUGAM/6.MAGNETIC_PROPERTIES_AND_CRYSTAL_STRUCTURES._1.ipynb M "ENGINEERING_PHYSICS_by_M.ARUMUGAM/7.CRYSTAL STRUCTURES AND X-RAY DIFFRACTION.ipynb" M ENGINEERING_PHYSICS_by_M.ARUMUGAM/7.CRYSTAL_STRUCTURES_AND_X-RAY_DIFFRACTION.ipynb M ENGINEERING_PHYSICS_by_M.ARUMUGAM/7.CRYSTAL_STRUCTURES_AND_X-RAY_DIFFRACTION_1.ipynb M "ENGINEERING_PHYSICS_by_M.ARUMUGAM/8.DEFECTS IN SOLIDS.ipynb" M ENGINEERING_PHYSICS_by_M.ARUMUGAM/8.DEFECTS_IN_SOLIDS.ipynb M ENGINEERING_PHYSICS_by_M.ARUMUGAM/8.DEFECTS_IN_SOLIDS_1.ipynb M ENGINEERING_PHYSICS_by_M.ARUMUGAM/Chapter01.ipynb M 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ENGINEERING_PHYSICS_by_M.ARUMUGAM/screenshots/polarisation_6.png M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch1.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch10.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch11.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch12.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch13.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch14.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch15.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch17.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch2.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch3.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch5.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch6.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch7.ipynb M Electric_Circuits_by_M._Navhi_And_J._A._Edminister/ch8.ipynb M 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Electrical_And_Electronics_Engineering_Materials_by_J._B._Gupta/screenshots/2_temp_coeff.png M Electrical_And_Electronics_Engineering_Materials_by_J._B._Gupta/screenshots/Ch1DenCrystal.png M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter1.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter10.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter11.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter12.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter13.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter14.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter15.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter16.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter17.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter2.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter3.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter4.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter5.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter6.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter7.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/chapter9.ipynb M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/screenshots/zzzCh11ipNopVStime.png M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/screenshots/zzzCh13inANDOpVSTime.png M Electrical_Engineering_-_Principles_And_Applications_by_Allan._R._Hambley/screenshots/zzzCh1chargeNcurrentVSTime.png M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER01.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER01_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER01_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER02.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER02_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER02_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER03.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER03_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER03_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER04.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER04_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER04_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER07.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER07_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER07_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER09.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER09_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER09_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER11.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER11_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER11_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER15.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER15_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER15_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER16.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER16_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER16_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER18.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER18_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER18_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER19.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER19_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER19_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER20.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER20_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER20_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER23.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER23_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER23_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER24.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER24_1.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER24_2.ipynb M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/README.txt M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture02.png M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture02_1.png M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture02_2.png M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture04.png M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture04_1.png M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture04_2.png M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture20.png M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture20_1.png M Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture20_2.png M Electrical_Machines_-_1_by_Tarlok_Singh/README.txt M Electrical_Machines_by_M._V._Despande/README.txt M Electrical_Machines_by_R._K._Srivastava/README.txt M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/README.txt M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch1.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch10.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch12.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch14.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch16.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch2.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch3.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch4.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch5.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch6.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch7.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch8.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch9.ipynb M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/screenshots/rNi7.png M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/screenshots/rNu1.png M Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/screenshots/rp10.png M Electrical_Network_by_R._Singh/Chapter1.ipynb M Electrical_Network_by_R._Singh/Chapter10.ipynb M Electrical_Network_by_R._Singh/Chapter10_1.ipynb M Electrical_Network_by_R._Singh/Chapter10_1_1.ipynb M Electrical_Network_by_R._Singh/Chapter11.ipynb M Electrical_Network_by_R._Singh/Chapter11_1.ipynb M Electrical_Network_by_R._Singh/Chapter11_1_1.ipynb M Electrical_Network_by_R._Singh/Chapter12.ipynb M Electrical_Network_by_R._Singh/Chapter12_1.ipynb M Electrical_Network_by_R._Singh/Chapter12_1_1.ipynb M Electrical_Network_by_R._Singh/Chapter1_1.ipynb M Electrical_Network_by_R._Singh/Chapter1_1_1.ipynb M Electrical_Network_by_R._Singh/Chapter2.ipynb M Electrical_Network_by_R._Singh/Chapter2_1.ipynb M Electrical_Network_by_R._Singh/Chapter2_1_1.ipynb M Electrical_Network_by_R._Singh/Chapter3.ipynb M Electrical_Network_by_R._Singh/Chapter3_1.ipynb M Electrical_Network_by_R._Singh/Chapter3_1_1.ipynb M Electrical_Network_by_R._Singh/Chapter4.ipynb M Electrical_Network_by_R._Singh/Chapter4_1.ipynb M Electrical_Network_by_R._Singh/Chapter4_1_1.ipynb M Electrical_Network_by_R._Singh/Chapter6.ipynb M Electrical_Network_by_R._Singh/Chapter6_1.ipynb M Electrical_Network_by_R._Singh/Chapter6_1_1.ipynb M Electrical_Network_by_R._Singh/Chapter7.ipynb M Electrical_Network_by_R._Singh/Chapter7_1.ipynb M Electrical_Network_by_R._Singh/Chapter7_1_1.ipynb M Electrical_Network_by_R._Singh/Chapter8.ipynb M Electrical_Network_by_R._Singh/Chapter8_1.ipynb M Electrical_Network_by_R._Singh/Chapter8_1_1.ipynb A Electrical_Network_by_R._Singh/README.txt M Electrical_Network_by_R._Singh/screenshots/Chapter4.png M Electrical_Network_by_R._Singh/screenshots/Chapter6.png M Electrical_Network_by_R._Singh/screenshots/Chapter7.png M Electrical_Network_by_R._Singh/screenshots/chapter4.png M 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Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter12.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter12_1.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter12_1_1.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter12_1_2.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter13.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter13_1.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter13_1_1.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter13_1_2.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter14.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter14_1.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter14_1_1.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter14_1_2.ipynb M Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter15.ipynb M 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Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3_1.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3_2.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3_3.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4_1.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4_2.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4_3.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5_1.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5_2.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5_3.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6_1.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6_2.ipynb M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6_3.ipynb M 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Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/3.png M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/Ch13AngularDisplacement.png M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/Ch13AngularDisplacement_1.png M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/Ch13AngularDisplacement_2.png M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/Ch13LateralDisplacement.png M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/Ch13LateralDisplacement_1.png M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/Ch13LateralDisplacement_2.png M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/Ch13LongitudinalDisplacement.png M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/Ch13LongitudinalDisplacement_1.png M Fiber_Optics_and_Optoelectronics_by_R._P._Khare/screenshots/Ch13LongitudinalDisplacement_2.png M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-10.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-10_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-11.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-11_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-12.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-12_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-13.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-13_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-14.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-14_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-15.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-15_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-16.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-16_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-17.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-17_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-18.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-18_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-19.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-19_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-2.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-20.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-20_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-21.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-21_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-22.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-22_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-23.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-23_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-24.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-24_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-25.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-25_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-26.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-26_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-27.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-27_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-28.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-28_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-29.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-29_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-2_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-3.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-31.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-31_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-32.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-32_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-33.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-33_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-34.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-34_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-3_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-5.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-5_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-7.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-7_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-8.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-8_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-9.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/Chapter-9_1.ipynb M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/README.txt M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/screenshots/29-6Penetration.png M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/screenshots/29-6Penetration_1.png M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/screenshots/29-7MoleFraction.png M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/screenshots/29-7MoleFraction_1.png M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/screenshots/PressureDrop29_3.png M Fluid_Flow_For_The_Practicing_Chemical_Engineer_by_J._P._Abulencia_And_L._Theodore/screenshots/PressureDrop29_3_1.png M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/README.txt M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch1.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch10.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch11.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch12.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch13.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch15.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch17.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch18.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch19.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch2.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch20.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch3.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch4.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch5.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch6.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch7.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/ch8.ipynb M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/screenshots/1.png M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/screenshots/2.png M Fluid_Mechanics_For_Chemical_Engineers_by_N._D._Nevers/screenshots/3.png M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER01.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER01_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER01_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER02.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER02_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER02_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER03.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER03_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER03_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER04.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER04_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER04_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER05.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER05_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER05_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER07.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER07_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER07_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER08.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER08_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER08_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER09.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER09_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER09_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER10.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER10_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER10_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER11.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER11_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER11_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER12.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER12_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER12_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER14.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER14_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER14_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER16.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER16_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER16_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER18.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER18_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER18_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER19.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER19_1.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./CHAPTER19_2.ipynb M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./screenshots/Screenshot02.png M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./screenshots/Screenshot02_1.png M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./screenshots/Screenshot02_2.png M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./screenshots/Screenshot04.png M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./screenshots/Screenshot04_1.png M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./screenshots/Screenshot04_2.png M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./screenshots/Screenshot08.png M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./screenshots/Screenshot08_1.png M Fundamentals_Of_Aerodynamics_by_J._D._Anderson_Jr./screenshots/Screenshot08_2.png M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/chapter_1.ipynb M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/chapter_2.ipynb M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/chapter_3.ipynb M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/chapter_4.ipynb M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/chapter_5.ipynb M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/chapter_6.ipynb M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/chapter_7.ipynb M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/chapter_8.ipynb M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/screenshots/t6.png M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/screenshots/t7.png M Fundamentals_Of_Electronic_Devices_by_P._Raja,_Pragati_Sharma/screenshots/t8.png M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/README.txt M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/chapter_1_1.ipynb M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/chapter_2_1.ipynb M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/chapter_3_1.ipynb M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/chapter_4_1.ipynb M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/chapter_5_1.ipynb M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/chapter_6_1.ipynb M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/chapter_7_1.ipynb M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/chapter_8_1.ipynb M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/screenshots/1_1.png M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/screenshots/6_1.png M Fundamentals_Of_Electronics_Devices_by_Dr._K._C._Nandi/screenshots/7_1.png M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/Chapter1.ipynb M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/Chapter10.ipynb M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/Chapter2.ipynb M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/Chapter3.ipynb M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/Chapter4.ipynb M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/Chapter5.ipynb M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/Chapter6.ipynb M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/Chapter7.ipynb M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/Chapter9.ipynb M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/README.txt M Fundamentals_of_Nuclear_Science_and_Engineering_by_J._K._Shultis_and_R._E._Faw/screenshots/Chapter1.png M 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Grob's_Basic_Electronics_by_M._E._Schultz/screenshots/DCLoadLine.png M Grob's_Basic_Electronics_by_M._E._Schultz/screenshots/EmitterCurrent.png M Grob's_Basic_Electronics_by_M._E._Schultz/screenshots/freqNperiod.png A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter1.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter11.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter12.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter13.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter14.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter15.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter16.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter17.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter18.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter19.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter20.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter21.ipynb A Grobs_Basic_Electronics_by_M_E_Schultz/Chapter22.ipynb A 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Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch1_1.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch2.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch2_1.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch3.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch3_1.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch4.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch4_1.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch5.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch5_1.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch6.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch6_1.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch7.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch7_1.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch8.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch8_1.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch9.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/Ch9_1.ipynb M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/README.txt M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/screenshots/Ch9MolFracNMolVol.png M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/screenshots/Ch9MolFracNMolVol_1.png M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/screenshots/Ch9_molarFracNMolVol.png M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/screenshots/Ch9_molarFracNMolVol_1.png M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/screenshots/ch10_consistency.png M Introduction_To_Chemical_Engineering_Thermodynamics_by_G._Halder/screenshots/ch10_consistency_1.png M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter1.ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter2(PartB).ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter2.ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter3(partB).ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter3.ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter4(PartB).ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter4.ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter5.ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter6.ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter7.ipynb M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/README.txt M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/screenshots/chapter1.png M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/screenshots/chapter2.png M Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/screenshots/chapter3.png M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_10_Tabulated_properties_Steam_Tables.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_11_Properties_of_Gases.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_16_Fluid_Flow_Nozzles_and_Turbines.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_17_Gas_compression.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_18_Refrigeration.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_19_Heat_Transmission.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_2_Work.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_3_Temperature_and_Heat.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_5_First_Law_of_Thermodynamics.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_6_Flow_Procesess_First_law_analysis.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Chapter_8_Basic_applications_of_the_second_law.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Combustion_Processes_First_law_analysis.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Gas_cycles.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Properties_of_Gaseous_Mixtures.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/README.txt M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/Vapor_cycles.ipynb M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/screenshots/2.png M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/screenshots/3.png M Introduction_To_Thermodynamics_And_Heat_Transfer_by_D._A._Mooney/screenshots/6.png M Introduction_to_Electric_Drives_by_J._S._Katre/AppendixB_1.ipynb M Introduction_to_Electric_Drives_by_J._S._Katre/README.txt M Introduction_to_Electric_Drives_by_J._S._Katre/chapter10_2.ipynb M Introduction_to_Electric_Drives_by_J._S._Katre/chapter1_2.ipynb M Introduction_to_Electric_Drives_by_J._S._Katre/chapter2_2.ipynb M Introduction_to_Electric_Drives_by_J._S._Katre/chapter3_2.ipynb M Introduction_to_Electric_Drives_by_J._S._Katre/chapter5_2.ipynb M Introduction_to_Electric_Drives_by_J._S._Katre/chapter6_2.ipynb M Introduction_to_Electric_Drives_by_J._S._Katre/chapter8_2.ipynb M Introduction_to_Electric_Drives_by_J._S._Katre/chapter9_2.ipynb M Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch6_VLdc_VLrms_2.png M Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch6_variation_of_RF_FF_2.png M Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch_3_variation_avg_rms_load_V_2.png M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter10.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter10_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter11.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter11_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter1_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter2.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter2_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter3.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter3_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter4.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter4_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter5.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter5_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter6.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter6_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter8.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter8_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter9.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/Chapter9_1.ipynb M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/README.txt M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/screenshots/chap1.png M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/screenshots/chap1_1.png M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/screenshots/chap2.png M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/screenshots/chap2_1.png M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/screenshots/chap3.png M Introduction_to_Electrical_Engineering_by_Er._J.P._Navani_&_Er._Sonal_Sapra/screenshots/chap3_1.png M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter10.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter10_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter11.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter11_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter2.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter2_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter3.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter3_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter4.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter4_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter5.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter5_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter6.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter6_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter7.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter7_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter8.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter8_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter9.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/Chapter9_1.ipynb M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/README.txt M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/screenshots/Chapter10.png M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/screenshots/Chapter11.png M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/screenshots/Chapter2.png M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/screenshots/chapter10.png M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/screenshots/chapter11.png M Introduction_to_Nuclear_Engineering_by_J._R._Lamarsh_and_A._J._Baratta/screenshots/chapter2.png M Introduction_to_flight_by_J_D_Anderson/11._Hypersonic_vehicles.ipynb M Introduction_to_flight_by_J_D_Anderson/2._Fundamental_Thoughts.ipynb M Introduction_to_flight_by_J_D_Anderson/3._The_Standard_Atmosphere.ipynb M Introduction_to_flight_by_J_D_Anderson/4._Aerodynamics.ipynb M Introduction_to_flight_by_J_D_Anderson/5._Airfoils,_Wings_and_Other_Aerodynamic_shapes.ipynb M Introduction_to_flight_by_J_D_Anderson/6._Elements_of_Airplane_Performance.ipynb M Introduction_to_flight_by_J_D_Anderson/7._Principles_of_Stability_and_Control.ipynb M Introduction_to_flight_by_J_D_Anderson/8._Space_Flight_(Astronautics).ipynb M Introduction_to_flight_by_J_D_Anderson/9._Propulsion.ipynb M Introduction_to_flight_by_J_D_Anderson/Appendix_A.ipynb M Introduction_to_flight_by_J_D_Anderson/Appendix_B.ipynb M Introduction_to_flight_by_J_D_Anderson/Appendix_C.ipynb M Introduction_to_flight_by_J_D_Anderson/Appendix_D.ipynb M Introduction_to_flight_by_J_D_Anderson/Appendix_E.ipynb M Introduction_to_flight_by_J_D_Anderson/README.txt M Introduction_to_flight_by_J_D_Anderson/screenshots/1.png M Introduction_to_flight_by_J_D_Anderson/screenshots/2.png M Introduction_to_flight_by_J_D_Anderson/screenshots/3.png M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_1.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_10.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_2.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_3.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_4.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_5.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_6.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_7.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_8.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_9.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_1.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_10.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_2.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_3.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_4.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_5.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_6.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_7.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_8.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_9.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_(1).ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_(1)_1.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_1.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_2.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_3.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_4.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_5.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_6.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_7.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_8.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_(1).ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_(1)_1.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_1.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_2.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_3.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_4.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_5.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_6.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_7.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_8.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_1.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_10.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_2.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_3.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_4.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_5.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_6.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_7.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_8.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_9.ipynb M Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter6_1.ipynb M 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Machine_Design_by_U.C._Jindal/Ch13.ipynb M Machine_Design_by_U.C._Jindal/Ch13_1.ipynb M Machine_Design_by_U.C._Jindal/Ch13_2.ipynb M Machine_Design_by_U.C._Jindal/Ch14.ipynb M Machine_Design_by_U.C._Jindal/Ch14_1.ipynb M Machine_Design_by_U.C._Jindal/Ch14_2.ipynb M Machine_Design_by_U.C._Jindal/Ch15.ipynb M Machine_Design_by_U.C._Jindal/Ch15_1.ipynb M Machine_Design_by_U.C._Jindal/Ch15_2.ipynb M Machine_Design_by_U.C._Jindal/Ch16.ipynb M Machine_Design_by_U.C._Jindal/Ch16_1.ipynb M Machine_Design_by_U.C._Jindal/Ch16_2.ipynb M Machine_Design_by_U.C._Jindal/Ch17.ipynb M Machine_Design_by_U.C._Jindal/Ch17_1.ipynb M Machine_Design_by_U.C._Jindal/Ch17_2.ipynb M Machine_Design_by_U.C._Jindal/Ch18.ipynb M Machine_Design_by_U.C._Jindal/Ch18_1.ipynb M Machine_Design_by_U.C._Jindal/Ch18_2.ipynb M Machine_Design_by_U.C._Jindal/Ch19.ipynb M Machine_Design_by_U.C._Jindal/Ch19_1.ipynb M Machine_Design_by_U.C._Jindal/Ch19_2.ipynb M Machine_Design_by_U.C._Jindal/Ch20.ipynb M Machine_Design_by_U.C._Jindal/Ch20_1.ipynb M Machine_Design_by_U.C._Jindal/Ch20_2.ipynb M Machine_Design_by_U.C._Jindal/Ch21.ipynb M Machine_Design_by_U.C._Jindal/Ch21_1.ipynb M Machine_Design_by_U.C._Jindal/Ch21_2.ipynb M Machine_Design_by_U.C._Jindal/Ch22.ipynb M Machine_Design_by_U.C._Jindal/Ch22_1.ipynb M Machine_Design_by_U.C._Jindal/Ch22_2.ipynb M Machine_Design_by_U.C._Jindal/Ch23.ipynb M Machine_Design_by_U.C._Jindal/Ch23_1.ipynb M Machine_Design_by_U.C._Jindal/Ch23_2.ipynb M Machine_Design_by_U.C._Jindal/Ch24.ipynb M Machine_Design_by_U.C._Jindal/Ch24_1.ipynb M Machine_Design_by_U.C._Jindal/Ch24_2.ipynb M Machine_Design_by_U.C._Jindal/Ch25.ipynb M Machine_Design_by_U.C._Jindal/Ch25_1.ipynb M Machine_Design_by_U.C._Jindal/Ch25_2.ipynb M Machine_Design_by_U.C._Jindal/Ch26.ipynb M Machine_Design_by_U.C._Jindal/Ch26_1.ipynb M Machine_Design_by_U.C._Jindal/Ch26_2.ipynb M Machine_Design_by_U.C._Jindal/Ch27.ipynb M Machine_Design_by_U.C._Jindal/Ch27_1.ipynb M Machine_Design_by_U.C._Jindal/Ch27_2.ipynb M Machine_Design_by_U.C._Jindal/Ch28.ipynb M Machine_Design_by_U.C._Jindal/Ch28_1.ipynb M Machine_Design_by_U.C._Jindal/Ch28_2.ipynb M Machine_Design_by_U.C._Jindal/Ch29.ipynb M Machine_Design_by_U.C._Jindal/Ch29_1.ipynb M Machine_Design_by_U.C._Jindal/Ch29_2.ipynb M Machine_Design_by_U.C._Jindal/Ch3.ipynb M Machine_Design_by_U.C._Jindal/Ch30.ipynb M Machine_Design_by_U.C._Jindal/Ch30_1.ipynb M Machine_Design_by_U.C._Jindal/Ch30_2.ipynb M Machine_Design_by_U.C._Jindal/Ch31.ipynb M Machine_Design_by_U.C._Jindal/Ch31_1.ipynb M Machine_Design_by_U.C._Jindal/Ch31_2.ipynb M Machine_Design_by_U.C._Jindal/Ch3_1.ipynb M Machine_Design_by_U.C._Jindal/Ch3_2.ipynb M Machine_Design_by_U.C._Jindal/Ch4.ipynb M Machine_Design_by_U.C._Jindal/Ch4_1.ipynb M Machine_Design_by_U.C._Jindal/Ch4_2.ipynb M Machine_Design_by_U.C._Jindal/Ch5.ipynb M Machine_Design_by_U.C._Jindal/Ch5_1.ipynb M Machine_Design_by_U.C._Jindal/Ch5_2.ipynb M Machine_Design_by_U.C._Jindal/Ch6.ipynb M Machine_Design_by_U.C._Jindal/Ch6_1.ipynb M Machine_Design_by_U.C._Jindal/Ch6_2.ipynb M Machine_Design_by_U.C._Jindal/Ch7.ipynb M Machine_Design_by_U.C._Jindal/Ch7_1.ipynb M Machine_Design_by_U.C._Jindal/Ch7_2.ipynb M Machine_Design_by_U.C._Jindal/Ch8.ipynb M Machine_Design_by_U.C._Jindal/Ch8_1.ipynb M Machine_Design_by_U.C._Jindal/Ch8_2.ipynb M Machine_Design_by_U.C._Jindal/Ch9.ipynb M Machine_Design_by_U.C._Jindal/Ch9_1.ipynb M Machine_Design_by_U.C._Jindal/Ch9_2.ipynb M Machine_Design_by_U.C._Jindal/README.txt M Machine_Design_by_U.C._Jindal/screenshots/Chapter-3stressgraph.png M Machine_Design_by_U.C._Jindal/screenshots/Chapter-3stressgraph_1.png M Machine_Design_by_U.C._Jindal/screenshots/Chapter-3stressgraph_2.png M Machine_Design_by_U.C._Jindal/screenshots/Chapter-_8AdditionalLoad.png M Machine_Design_by_U.C._Jindal/screenshots/Chapter-_8AdditionalLoad_1.png M Machine_Design_by_U.C._Jindal/screenshots/Chapter-_8AdditionalLoad_2.png M Machine_Design_by_U.C._Jindal/screenshots/Chapter11_-_strengthofrevet.png M Machine_Design_by_U.C._Jindal/screenshots/Chapter11_-_strengthofrevet_1.png M Machine_Design_by_U.C._Jindal/screenshots/Chapter11_-_strengthofrevet_2.png R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER10.ipynb -> Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER10.ipynb R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER13.ipynb -> Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER13.ipynb R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER14.ipynb -> Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER14.ipynb R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER15.ipynb -> Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER15.ipynb R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER16.ipynb -> Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER16.ipynb R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER17.ipynb -> Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER17.ipynb R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER18.ipynb -> Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER18.ipynb R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER2.ipynb -> Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER2.ipynb R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER20.ipynb -> Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER20.ipynb R Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER22.ipynb -> 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Microwaves_and_Radar_Principles_and_Applications_by_A._K._Maini/CHAPTER_7.ipynb M Microwaves_and_Radar_Principles_and_Applications_by_A._K._Maini/CHAPTER_9.ipynb M Microwaves_and_Radar_Principles_and_Applications_by_A._K._Maini/README.txt M Microwaves_and_Radar_Principles_and_Applications_by_A._K._Maini/screenshots/main1.png M Microwaves_and_Radar_Principles_and_Applications_by_A._K._Maini/screenshots/main2.png M Microwaves_and_Radar_Principles_and_Applications_by_A._K._Maini/screenshots/main3.png M Modern_Compressible_Flow_with_historical_perspective_by_John_D_Anderson/1._Compressible_Flow-Some_History_and_Introductory_Thoughts.ipynb M Modern_Compressible_Flow_with_historical_perspective_by_John_D_Anderson/3._One_Dimentional_Flow.ipynb M Modern_Compressible_Flow_with_historical_perspective_by_John_D_Anderson/4._Oblique_Shock_and_Expansion_Waves.ipynb M Modern_Compressible_Flow_with_historical_perspective_by_John_D_Anderson/5._Quasi-One-Dimensional_Flow.ipynb M 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Network_Analysis_and_Synthesis_by_B_R_Gupta/CHAPTER01.ipynb M Network_Analysis_and_Synthesis_by_B_R_Gupta/CHAPTER02.ipynb M Network_Analysis_and_Synthesis_by_B_R_Gupta/CHAPTER03.ipynb M Network_Analysis_and_Synthesis_by_B_R_Gupta/CHAPTER04.ipynb M Network_Analysis_and_Synthesis_by_B_R_Gupta/CHAPTER05.ipynb M Network_Analysis_and_Synthesis_by_B_R_Gupta/CHAPTER07.ipynb M Network_Analysis_and_Synthesis_by_B_R_Gupta/CHAPTER08.ipynb M Network_Analysis_and_Synthesis_by_B_R_Gupta/CHAPTER09.ipynb M Network_Analysis_and_Synthesis_by_B_R_Gupta/README.txt M Network_Analysis_and_Synthesis_by_B_R_Gupta/screenshots/Capture02.png M Network_Analysis_and_Synthesis_by_B_R_Gupta/screenshots/Capture04.png M Network_Analysis_and_Synthesis_by_B_R_Gupta/screenshots/Capture08.png M Nuclear_Chemistry_through_Problems_by__H._J._Arnikar_and_N._S._Rajurkar/README.txt M Nuclear_Chemistry_through_Problems_by__H._J._Arnikar_and_N._S._Rajurkar/chapter1.ipynb M 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Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_13.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_13.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_13.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_13.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_13.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_13.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_6.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_7.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_8.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_9.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_1.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_10.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_11.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_12.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_2.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_3.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_4.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_5.ipynb mode change 100644 => 100755 Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_6.ipynb mode change 100644 => 100755 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a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_10.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_10.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_11.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_11.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_12.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_12.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_13.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_13.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_8.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_8.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_9.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter1_9.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter2_1.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter2_1.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter2_2.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter2_2.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter2_3.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter2_3.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter2_4.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter2_4.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter2_5.ipynb 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a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter3_3.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter3_3.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter3_4.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter3_4.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter3_5.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter3_5.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter3_6.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter3_6.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_1.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_1.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_2.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_2.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_3.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_3.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_4.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_4.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_5.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_5.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_6.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter4_6.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter5_1.ipynb 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a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter5_5.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter5_5.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter5_6.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter5_6.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter6_1.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter6_1.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter6_2.ipynb 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a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter6_6.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter6_6.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter7_1.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter7_1.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter7_2.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter7_2.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter7_3.ipynb 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a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter8_1.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter8_1.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter8_2.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter8_2.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter8_3.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter8_3.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter8_4.ipynb 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a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter9_2.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter9_2.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter9_3.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter9_3.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter9_4.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter9_4.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_3rd_Edition_by_Sergio_Franco/chapter9_5.ipynb 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a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_by_Sergio_Franco/chapter10.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_by_Sergio_Franco/chapter10.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_by_Sergio_Franco/chapter10_1.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_by_Sergio_Franco/chapter10_1.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_by_Sergio_Franco/chapter10_2.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_by_Sergio_Franco/chapter10_2.ipynb old mode 100644 new mode 100755 diff --git a/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_by_Sergio_Franco/chapter11.ipynb b/Design_With_Operational_Amplifiers_And_Analog_Integrated_Circuits_by_Sergio_Franco/chapter11.ipynb old mode 100644 new mode 100755 diff --git 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a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER15.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER15.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER15_1.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER15_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER15_2.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER15_2.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER16.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER16.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER16_1.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER16_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER16_2.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER16_2.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER18.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER18.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER18_1.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER18_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER18_2.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER18_2.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER19.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER19.ipynb old mode 100644 new mode 100755 diff --git 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a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER23.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER23.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER23_1.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER23_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER23_2.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER23_2.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER24.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER24.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER24_1.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER24_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER24_2.ipynb b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/CHAPTER24_2.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/README.txt b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/README.txt old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture02.png b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture02.png old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture02_1.png b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture02_1.png old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture02_2.png b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture02_2.png old 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b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture20_1.png old mode 100644 new mode 100755 diff --git a/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture20_2.png b/Electrical_Engineering_Fundamentals_by__Del_Toro_Vincent_/screenshots/Capture20_2.png old mode 100644 new mode 100755 diff --git a/Electrical_Machines_-_1_by_Tarlok_Singh/README.txt b/Electrical_Machines_-_1_by_Tarlok_Singh/README.txt old mode 100644 new mode 100755 diff --git a/Electrical_Machines_by_M._V._Despande/README.txt b/Electrical_Machines_by_M._V._Despande/README.txt old mode 100644 new mode 100755 diff --git a/Electrical_Machines_by_R._K._Srivastava/README.txt b/Electrical_Machines_by_R._K._Srivastava/README.txt old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/README.txt b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/README.txt old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch1.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch10.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch10.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch12.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch12.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch14.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch14.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch16.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch16.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch2.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch2.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch3.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch3.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch4.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch4.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch5.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch5.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch6.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch6.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch7.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch7.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch8.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch8.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch9.ipynb b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/ch9.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/screenshots/rNi7.png b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/screenshots/rNi7.png old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/screenshots/rNu1.png b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/screenshots/rNu1.png old mode 100644 new mode 100755 diff --git a/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/screenshots/rp10.png b/Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/screenshots/rp10.png old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter1.ipynb b/Electrical_Network_by_R._Singh/Chapter1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter10.ipynb b/Electrical_Network_by_R._Singh/Chapter10.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter10_1.ipynb b/Electrical_Network_by_R._Singh/Chapter10_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter10_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter10_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter11.ipynb b/Electrical_Network_by_R._Singh/Chapter11.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter11_1.ipynb b/Electrical_Network_by_R._Singh/Chapter11_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter11_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter11_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter12.ipynb b/Electrical_Network_by_R._Singh/Chapter12.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter12_1.ipynb b/Electrical_Network_by_R._Singh/Chapter12_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter12_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter12_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter1_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter1_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter2.ipynb b/Electrical_Network_by_R._Singh/Chapter2.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter2_1.ipynb b/Electrical_Network_by_R._Singh/Chapter2_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter2_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter2_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter3.ipynb b/Electrical_Network_by_R._Singh/Chapter3.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter3_1.ipynb b/Electrical_Network_by_R._Singh/Chapter3_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter3_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter3_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter4.ipynb b/Electrical_Network_by_R._Singh/Chapter4.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter4_1.ipynb b/Electrical_Network_by_R._Singh/Chapter4_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter4_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter4_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter6.ipynb b/Electrical_Network_by_R._Singh/Chapter6.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter6_1.ipynb b/Electrical_Network_by_R._Singh/Chapter6_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter6_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter6_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter7.ipynb b/Electrical_Network_by_R._Singh/Chapter7.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter7_1.ipynb b/Electrical_Network_by_R._Singh/Chapter7_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter7_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter7_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter8.ipynb b/Electrical_Network_by_R._Singh/Chapter8.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter8_1.ipynb b/Electrical_Network_by_R._Singh/Chapter8_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/Chapter8_1_1.ipynb b/Electrical_Network_by_R._Singh/Chapter8_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/README.txt b/Electrical_Network_by_R._Singh/README.txt new file mode 100755 index 00000000..19d50d82 --- /dev/null +++ b/Electrical_Network_by_R._Singh/README.txt @@ -0,0 +1,10 @@ +Contributed By: vinod kumar +Course: btech +College/Institute/Organization: BVRIT college +Department/Designation: mechanical engneering +Book Title: Electrical Network +Author: R. Singh +Publisher: Tata McGraw-Hill, New Delhi +Year of publication: 2008 +Isbn: 978-0-07-026096-2 +Edition: 2 \ No newline at end of file diff --git a/Electrical_Network_by_R._Singh/screenshots/Chapter4.png b/Electrical_Network_by_R._Singh/screenshots/Chapter4.png old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/screenshots/Chapter6.png b/Electrical_Network_by_R._Singh/screenshots/Chapter6.png old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/screenshots/Chapter7.png b/Electrical_Network_by_R._Singh/screenshots/Chapter7.png old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/screenshots/chapter4.png b/Electrical_Network_by_R._Singh/screenshots/chapter4.png old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/screenshots/chapter4_1.png b/Electrical_Network_by_R._Singh/screenshots/chapter4_1.png old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/screenshots/chapter6.png b/Electrical_Network_by_R._Singh/screenshots/chapter6.png old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/screenshots/chapter6_1.png b/Electrical_Network_by_R._Singh/screenshots/chapter6_1.png old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/screenshots/chapter7.png b/Electrical_Network_by_R._Singh/screenshots/chapter7.png old mode 100644 new mode 100755 diff --git a/Electrical_Network_by_R._Singh/screenshots/chapter7_1.png b/Electrical_Network_by_R._Singh/screenshots/chapter7_1.png old mode 100644 new mode 100755 diff --git a/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter1.ipynb b/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter1.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter10.ipynb b/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter10.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter10_1.ipynb b/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter10_1.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter10_1_1.ipynb b/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter10_1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter10_1_2.ipynb b/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter10_1_2.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter11.ipynb b/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter11.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter11_1.ipynb b/Electronic_Circuit_Analysis_And_Design_by_D._A._Neamen/Chapter11_1.ipynb old mode 100644 new mode 100755 diff --git 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a/Electronic_Circuits_by_M._H._Tooley/Chapter1.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter1.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter12.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter12.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter12_1.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter12_1.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter12_2.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter12_2.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter13.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter13.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter13_1.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter13_1.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter13_2.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter13_2.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter1_1.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter1_1.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter1_2.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter1_2.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter2.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter2.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter2_1.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter2_1.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter2_2.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter2_2.ipynb old mode 100644 new mode 100755 diff --git a/Electronic_Circuits_by_M._H._Tooley/Chapter3.ipynb b/Electronic_Circuits_by_M._H._Tooley/Chapter3.ipynb old mode 100644 new mode 100755 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a/Engineering_Thermodynamics_by_Dr._S._S._Khandare/screenshots/file3_2.png b/Engineering_Thermodynamics_by_Dr._S._S._Khandare/screenshots/file3_2.png old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter1.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter10.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter10.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter11.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter11.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter2.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter3.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter4.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter4.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter5.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter5.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter6.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter6.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter7.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter7.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter8.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter8.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter9.ipynb b/Fiber_Optic_Communications:_Fundamentals_and_Applications_by_S._Kumar_and_M._J._Deen/Chapter9.ipynb old mode 100644 new mode 100755 diff --git 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a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter10_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter10_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter10_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter10_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter10_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter10_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter11.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter11.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter11_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter11_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter11_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter11_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter11_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter11_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter12.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter12.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter12_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter12_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter12_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter12_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter12_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter12_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter13.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter13.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter13_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter13_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter13_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter13_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter13_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter13_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter14.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter14.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter14_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter14_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter14_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter14_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter14_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter14_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter2_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter2_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter2_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter2_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter2_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter2_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter3_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter4_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter5_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter6_3.ipynb 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a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter8_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter8_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter8_2.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter8_2.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter8_3.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter8_3.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter9.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter9.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter9_1.ipynb b/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter9_1.ipynb old mode 100644 new mode 100755 diff --git a/Fiber_Optics_and_Optoelectronics_by_R._P._Khare/Chapter9_2.ipynb 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b/Grob's_Basic_Electronics_by_M._E._Schultz/ChapterI.ipynb old mode 100644 new mode 100755 diff --git a/Grob's_Basic_Electronics_by_M._E._Schultz/screenshots/DCLoadLine.png b/Grob's_Basic_Electronics_by_M._E._Schultz/screenshots/DCLoadLine.png old mode 100644 new mode 100755 diff --git a/Grob's_Basic_Electronics_by_M._E._Schultz/screenshots/EmitterCurrent.png b/Grob's_Basic_Electronics_by_M._E._Schultz/screenshots/EmitterCurrent.png old mode 100644 new mode 100755 diff --git a/Grob's_Basic_Electronics_by_M._E._Schultz/screenshots/freqNperiod.png b/Grob's_Basic_Electronics_by_M._E._Schultz/screenshots/freqNperiod.png old mode 100644 new mode 100755 diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter1.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter1.ipynb new file mode 100755 index 00000000..dff05eac --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter1.ipynb @@ -0,0 +1,214 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 1 : Electricity" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 1_5 Page No. 24" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output Voltage of a Battery = 7.20 Volts\n" + ] + } + ], + "source": [ + "# What is the output voltage of a battery that expends 3.6 J of energy in moving 0.5C of charge?\n", + "\n", + "# Given data\n", + "\n", + "W = 3.6# # Work=3.6 Jouls\n", + "Q = 0.5# # Charge=0.5 Columb\n", + "\n", + "V = W/Q#\n", + "print 'The Output Voltage of a Battery = %0.2f Volts'%V" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 1_6 Page No. 24" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Intensity of Charge Flow = 12.00 Amps\n" + ] + } + ], + "source": [ + "#The charge of 12 C moves past a given point every second. How much is the intensity of charge flow?\n", + "\n", + "# Given data\n", + "\n", + "Q = 12# # Charge=12 Columb\n", + "T = 1# # Time=1 Sec i.e every second\n", + "\n", + "I = Q/T#\n", + "print 'The Intensity of Charge Flow = %0.2f Amps'%I" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 1_7 Page No. 24" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current = 5.00 Amps\n" + ] + } + ], + "source": [ + "# The charge of 5 C moves past a given point in 1 s. How much is the current?\n", + "\n", + "# Given data\n", + "\n", + "Q = 5# # Charge=5 Columb\n", + "T = 1# # Time=1 Sec\n", + "\n", + "I = Q/T#\n", + "print 'The Current = %0.2f Amps'%I" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 1_8 Page No. 25" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance for Conductance value 0.05 S = 20.00 Ohms\n", + "The Resistance for Conductance value 0.1 S = 10.00 Ohms\n" + ] + } + ], + "source": [ + "# Calculate the resistance for the following conductance values: (a) 0.05 S (b) 0.1 S\n", + "\n", + "# Given data\n", + "\n", + "G1 = 0.05# # G1=0.05 Siemins\n", + "G2 = 0.1# # G1=0.1 Siemins\n", + "\n", + "R1 = 1/G1#\n", + "print 'The Resistance for Conductance value 0.05 S = %0.2f Ohms'%R1\n", + "\n", + "R2 = 1/G2#\n", + "print 'The Resistance for Conductance value 0.1 S = %0.2f Ohms'%R2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 1_9 Page No. 26" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Conductance for Resistance value 1 kohms = 1e-03 Siemens\n", + "OR 1 mS\n", + "The Conductance for Resistance value 5 kohms = 2e-04 Siemens\n", + "OR 200 uS\n" + ] + } + ], + "source": [ + "#Calculate the conductance for the following resistance values: (a) 1 kOhms \b(b)5 kOhms\n", + "\n", + "# Given data\n", + "\n", + "R1 = 1.0*10**3# # R1=1k Ohms\n", + "R2 = 5.0*10**3# # R2=5k Ohms\n", + "\n", + "G1 = 1/R1#\n", + "print 'The Conductance for Resistance value 1 kohms = %0.e Siemens'%G1\n", + "print 'OR 1 mS'\n", + "\n", + "G2 = 1/R2#\n", + "print 'The Conductance for Resistance value 5 kohms = %0.e Siemens'%G2\n", + "print 'OR 200 uS'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter11.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter11.ipynb new file mode 100755 index 00000000..4e938ea1 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter11.ipynb @@ -0,0 +1,246 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 11 : Conductors and Insulators" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 11_1 Page No. 329" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Circular Area = 25.00 cmils\n" + ] + } + ], + "source": [ + "# What is the area in circular mils of a wire with a diameter of 0.005 in.?\n", + "\n", + "# Given data\n", + "\n", + "Din = 0.005# # Diameter in Inches=0.005 in.\n", + "Dmil = 5# # Diameter in Mils=5 mil.\n", + "\n", + "# 0.005 in. = 5 mil\n", + "# Therefore: Din == Dmil\n", + "\n", + "A = Dmil*Dmil#\n", + "print 'The Circular Area = %0.2f cmils'%A" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 11_2 Page No. 335" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Total Area = 3224.00 cmils\n" + ] + } + ], + "source": [ + "# A stranded wire is made up of 16 individual strands of No. 27 gage wire. What is its equivalent gage size in solid wire?\n", + "\n", + "# Given data\n", + "\n", + "N = 16# # No. of strands=16\n", + "A27 = 201.5 # Circular area of No. 27 Guage wire=201.5 cmils\n", + "\n", + "A = N*A27#\n", + "print 'The Total Area = %0.2f cmils'%A" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 11_3 Page No. 340" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance of 100 ft of No. 20 gage Copper Wire = 1.02 ohms\n" + ] + } + ], + "source": [ + "# How much is the resistance of 100 ft of No. 20 gage copper wire?\n", + "\n", + "# Given data\n", + "\n", + "roh = 10.4# # roh or specific resistance=10.4 (for Copper)\n", + "l = 100.# # Lenght=100 feet\n", + "A = 1022# # Area of No. 20 Gage=1022 cmil\n", + "\n", + "R = roh*(l/A)#\n", + "print 'The Resistance of 100 ft of No. 20 gage Copper Wire = %0.2f ohms'%R" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 11_4 Page No. 342" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance of 100 ft of No. 20 gage Copper Wire = 2.04 ohms\n" + ] + } + ], + "source": [ + "# How much is the resistance of 100 ft of No. 23 gage copper wire?\n", + "\n", + "# Given data\n", + "\n", + "roh = 10.4# # roh or specific resistance=10.4 (for Copper)\n", + "l = 100# # Lenght=100 feet\n", + "A = 509.5# # Area of No. 23 Gage=509.5 cmil\n", + "\n", + "R = roh*(l/A)#\n", + "print 'The Resistance of 100 ft of No. 20 gage Copper Wire = %0.2f ohms'%R" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 11_5 Page No. 344" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance of a Slab of Germanium = 11.00 ohms\n" + ] + } + ], + "source": [ + "# How much is the resistance of a slab of germanium 0.2 cm long with a crosssectional area of 1 sqcm?\n", + "\n", + "# Given data\n", + "\n", + "roh = 55.0# # roh or specific resistance=55 (for Germanium)\n", + "l = 0.2*10**-2# # Lenght=100 feet\n", + "A = 1.0*10**-2# # Area=1 sqcm\n", + "\n", + "R = roh*(l/A)#\n", + "print 'The Resistance of a Slab of Germanium = %0.2f ohms'%R" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 11_6 Page No. 344" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance at 120°C = 21.00 ohms\n" + ] + } + ], + "source": [ + "# A tungsten wire has a 14-Ohms\u0002 R at 20°C. Calculate its resistance at 120°C.\n", + "\n", + "# Given data\n", + "\n", + "Tmax = 120.# # Temp(max)=120 degree Centigrates\n", + "Tmin = 20.# # Temp(min)=20 degree Centigrates\n", + "Ro = 14.# # Wire Resistance=14 Ohms\n", + "alpha = 0.005# # Aplha=0.005 (for Tungsten)\n", + "\n", + "delta = Tmax-Tmin#\n", + "\n", + "Rt = Ro+Ro*(alpha*delta)#\n", + "print 'The Resistance at 120°C = %0.2f ohms'%Rt" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter12.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter12.ipynb new file mode 100755 index 00000000..8876ae94 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter12.ipynb @@ -0,0 +1,67 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 12 : Batteries" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 12_1 Page No. 368" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance ri = 10 Ohms\n" + ] + } + ], + "source": [ + "# Calculate ri if the output of a generator drops from 100 V with zero load current to 80 V when Il is 2 A.\n", + "\n", + "# Given data\n", + "\n", + "Vo0 = 100# # Vo at zero load current=100 Volts\n", + "Vo1 = 80# # Vo at 2 A load current=80 Volts\n", + "Il = 2# # Load current=2 Amps\n", + "\n", + "Ri = (Vo0-Vo1)/Il#\n", + "print 'The Resistance ri = %0.f Ohms'%Ri" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter13.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter13.ipynb new file mode 100755 index 00000000..89a82ed0 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter13.ipynb @@ -0,0 +1,182 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 13 : Magnetism" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 13_1 Page No. 291" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The 25000 Maxwell = 2.50e-04 Wabers\n", + "i.e 250*10**-6 Wb or 250 uWb\n", + "The 0.005 Wabers = 500000.00 Maxwell\n", + "i.e 5.0*10**5 Mx\n" + ] + } + ], + "source": [ + "# Make the following conversions: (a) 25,000 Mx to Wb# (b) 0.005 Wb to Mx.\n", + "\n", + "# Given data\n", + "\n", + "A = 25000.0# # A=25000 Maxwell\n", + "B = 0.005# # B=0.005 Wabers\n", + "C = 1*10**8# # Conversion Factor\n", + "\n", + "Wb = A*(1.0/C)#\n", + "print 'The 25000 Maxwell = %0.2e Wabers'%Wb\n", + "print 'i.e 250*10**-6 Wb or 250 uWb'\n", + "\n", + "Mx = B*C#\n", + "print 'The 0.005 Wabers = %0.2f Maxwell'%Mx\n", + "print 'i.e 5.0*10**5 Mx'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 13_2 Page No. 392" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Flux Density = 2000.00 Guass (G)\n" + ] + } + ], + "source": [ + "# With a flux of 10,000 Mx through a perpendicular area of 5 sqcm, what is the flux density in gauss?\n", + "\n", + "# Given data\n", + "\n", + "A = 5.# # Area=5 sqcm\n", + "flux = 10000.0# # Total Flux=10000 Mx\n", + "\n", + "B = flux/A#\n", + "print 'The Flux Density = %0.2f Guass (G)'%B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 13_3 Page No. 394" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Flux Density = 0.80 Tesla (T)\n" + ] + } + ], + "source": [ + "# With a flux of 400 u\u0002Wb through an area of 0.0005 sqm, what is the flux density B in tesla units?\n", + "\n", + "# Given data\n", + "\n", + "A = 0.0005# # Area=0.0005 sqm\n", + "flux = 400*10**-6# # Total Flux=400 uWb\n", + "\n", + "B = flux/A#\n", + "print 'The Flux Density = %0.2f Tesla (T)'%B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 13_4 Page No. 394" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The 0.003 Tesla = 30.00 Guass\n", + "The 15,000 Guass = 1.50 Tesla\n" + ] + } + ], + "source": [ + "# Make the following conversions: (a) 0.003 T to G# (b) 15,000 G to T.\n", + "\n", + "# Given data\n", + "\n", + "A = 0.003# # A=0.003 Tesla\n", + "B = 15000.# # B=15000 Guass\n", + "C = 1.*10**4# # Conversion Factor\n", + "\n", + "G = A*C#\n", + "print 'The 0.003 Tesla = %0.2f Guass'%G\n", + "\n", + "T = B*(1/C)#\n", + "print 'The 15,000 Guass = %0.2f Tesla'%T" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter14.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter14.ipynb new file mode 100755 index 00000000..c8957744 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter14.ipynb @@ -0,0 +1,248 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter14 : Electromagnetism" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 14_1 Page No. 421" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Amps-Turn (A.t) of Magneto-Motive Force (mmf) = 10.00 A.t\n" + ] + } + ], + "source": [ + "# Calculate the ampere-turns of mmf for a coil with 2000 turns and a 5-mA current.\n", + "\n", + "# Given data\n", + "\n", + "I = 5*10**-3# # Current=5 mAmps\n", + "N = 2000# # No. of Turns=2000\n", + "\n", + "mmf = I*N#\n", + "print 'The Amps-Turn (A.t) of Magneto-Motive Force (mmf) = %0.2f A.t'%mmf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 14_2 Page No. 421" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Turns necessary are : 150\n" + ] + } + ], + "source": [ + "# A coil with 4 A is to provide a magnetizing force of 600 A\u0002 t. How many turns are necessary?\n", + "\n", + "# Given data\n", + "\n", + "I = 4# # Current=4 Amps\n", + "mmf = 600# # Magnetizing Force=600 A.t\n", + "\n", + "N = mmf/I#\n", + "print 'The Turns necessary are : ',N" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 14_3 Page No. 424" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current necessary = 2 Amps\n" + ] + } + ], + "source": [ + "# A coil with 400 turns must provide 800 A\u0002 t of magnetizing force. How much current is necessary?\n", + "\n", + "# Given data\n", + "\n", + "mmf = 800# # Magnetizing Force=800 A.t\n", + "N = 400# # No. of Turns=400\n", + "\n", + "I = mmf/N#\n", + "print 'The Current necessary = %0.f Amps'%I" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 14_4 Page No. 426" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current necessary when a wire is connected to 6-V Battery = 2 Amps\n", + "The Amps-Turn (A.t) of Magneto-Motive Force (mmf) = 500 A.t\n" + ] + } + ], + "source": [ + "# The wire in a solenoid of 250 turns has a resistance of 3 Ohms. (a)How much is the current when the coil is connected to a 6-V battery? (b) Calculate the ampereturns of mmf.\n", + "\n", + "# Given data\n", + "\n", + "V = 6# # Voltage=6 Volts\n", + "R = 3# # Resistance=3 Ohms\n", + "N = 250# # No. of Turns=250\n", + "\n", + "I = V/R#\n", + "print 'The Current necessary when a wire is connected to 6-V Battery = %0.f Amps'%I\n", + "\n", + "mmf = I*N#\n", + "print 'The Amps-Turn (A.t) of Magneto-Motive Force (mmf) = %0.f A.t'%mmf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 14_5 Page No. 426" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Absolute u as B/H in CGS = 500 (G/Oe)\n", + "The Absolute u as B/H in SI = 6.300e-04 (T/(A.t/m))\n", + "i.e 630*10**-6 T/(A.t/m)\n" + ] + } + ], + "source": [ + "# A magnetic material has a \u0003ur of 500. Calculate the absolute u\u0003 as B/H (a) in CGS units and (b) in SI units.\n", + "\n", + "# Given data\n", + "\n", + "ur = 500# # ur=500\n", + "uoa = 1# # uo for CGS Units=1\n", + "uob = 1.26*10**-6# # uo for SI Units=1.26 u\n", + "\n", + "ua = ur*uoa#\n", + "print 'The Absolute u as B/H in CGS = %0.f (G/Oe)'%ua\n", + "\n", + "ub = ur*uob#\n", + "print 'The Absolute u as B/H in SI = %0.3e (T/(A.t/m))'%ub\n", + "print 'i.e 630*10**-6 T/(A.t/m)'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 14_6 Page No. 427" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Flux density = 0.63 Tesla\n" + ] + } + ], + "source": [ + "# u = 630*10**-\u00056 in SI units, calculate the flux density B that will be produced by the field intensity H equal to 1000 A.t/m.\n", + "\n", + "# Given data\n", + "\n", + "u = 630*10**-6# # u=630 micro T/(A.t/m)\n", + "H = 1000# # H=1000 A.t/m\n", + "\n", + "B = u*H#\n", + "print 'The Flux density = %0.2f Tesla'%B" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter15.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter15.ipynb new file mode 100755 index 00000000..682677a5 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter15.ipynb @@ -0,0 +1,354 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 15 : Alternating voltage & current" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 15_1 Page No: 451" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage at 30° = 50.00 Volts\n", + "The Voltage at 45° = 70.71 Volts\n", + "The Voltage at 90° = 100.00 Volts\n", + "The Voltage at 270° = -100.00 Volts\n" + ] + } + ], + "source": [ + "from numpy import sin, pi\n", + "# A sine wave of voltage varies from zero to a maximum of 100 V. How much is the voltage at the instant of 30° of the cycle? 45°? 90°? 270°?\n", + "\n", + "# Given data\n", + "\n", + "Vm = 100# # Vm=100 Volts\n", + "t1 = 30# # Theta 1=30°.\n", + "t2 = 45# # Theta 2=45°.\n", + "t3 = 90# # Theta 3=90°.\n", + "t4 = 270# # Theta 4=270°.\n", + "\n", + "v1 = Vm*sin(t1*pi/180)\n", + "print 'The Voltage at 30° = %0.2f Volts'%v1\n", + "\n", + "v2 = Vm*sin(t2*pi/180)\n", + "print 'The Voltage at 45° = %0.2f Volts'%v2\n", + "\n", + "v3 = Vm*sin(t3*pi/180)\n", + "print 'The Voltage at 90° = %0.2f Volts'%v3\n", + "\n", + "v4 = Vm*sin(t4*pi/180)\n", + "print 'The Voltage at 270° = %0.2f Volts'%v4" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 15_2 Page No: 456" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Time period = 1e-03 Seconds\n", + "i.e 1/1000 sec\n", + "The Frequency = 1000.00 Hertz\n", + "OR 1 kHz\n" + ] + } + ], + "source": [ + "from __future__ import division\n", + "# An alternating current varies through one complete cycle in 1 ⁄ 1000 s. Calculate the period and frequency.\n", + "\n", + "# Given data\n", + "\n", + "tc = 1/1000# # One Complete Cycle=1 ⁄ 1000 sec.\n", + "\n", + "T = tc#\n", + "print 'The Time period = %0.e Seconds'%T\n", + "print 'i.e 1/1000 sec'\n", + "\n", + "f = 1/tc#\n", + "print 'The Frequency = %0.2f Hertz'%f\n", + "print 'OR 1 kHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 15_3 Page No: 476" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Time period = 1e-06 Seconds of 1 MHz freq.\n", + "i.e 1*10**-6 sec = 1 usec\n", + "The Time period = 5e-07 Seconds of 2 MHz freq.\n", + "i.e 0.5*10**-6 sec = 0.5 usec\n" + ] + } + ], + "source": [ + "# Calculate the period for the two frequencies of 1 MHz and 2 MHz.Calculate the period for the two frequencies of 1 MHz and 2 MHz.\n", + "\n", + "# Given data\n", + "\n", + "f1 = 1*10**6# # Freq=1 MHz\n", + "f2 = 2*10**6# # Freq=2 MHz\n", + "\n", + "t1 = 1/f1#\n", + "print 'The Time period = %0.e Seconds of 1 MHz freq.'%t1\n", + "print 'i.e 1*10**-6 sec = 1 usec'\n", + "\n", + "t2 = 1/f2#\n", + "print 'The Time period = %0.e Seconds of 2 MHz freq.'%t2\n", + "print 'i.e 0.5*10**-6 sec = 0.5 usec'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 15_4 Page No: 478" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Lamda or Wavelenght = 1.00 cm\n" + ] + } + ], + "source": [ + "# Calculate lamda for a radio wave witf f of 30 GHz.\n", + "\n", + "# Given data\n", + "\n", + "c = 3*10**10# # Speed of light=3*10**10 cm/s\n", + "f = 30*10**9# # Freq=30 GHz\n", + "\n", + "l = c/f#\n", + "print 'The Lamda or Wavelenght = %0.2f cm'%l" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 15_5 Page No: 480" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Height = 250.00 cm\n", + "The Height = 8.20 feet\n" + ] + } + ], + "source": [ + "# The length of a TV antenna is lamda\u0005/2 for radio waves with f of 60 MHz. What is the antenna length in centimeters and feet?\n", + "\n", + "# Given data\n", + "\n", + "c = 3*10**10# # Speed of light=3*10**10 cm/s\n", + "f = 60*10**6# # Freq=60 MHz\n", + "In = 2.54# # 2.54 cm = 1 in\n", + "ft = 12# # 12 in = 1 ft\n", + "\n", + "l1 = c/f#\n", + "l = l1/2#\n", + "print 'The Height = %0.2f cm'%l\n", + "\n", + "li = l/In\n", + "lf = li/ft#\n", + "print 'The Height = %0.2f feet'%lf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 15_6 Page No: 481" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Frequency = 50000000 Hertz\n", + "i.e 50*10**6 Hz OR 50 MHz\n" + ] + } + ], + "source": [ + "# For the 6-m band used in amateur radio, what is the corresponding frequency?\n", + "\n", + "# Given data\n", + "\n", + "v = 3*10**10# # Speed of light=3*10**10 cm/s\n", + "l = 6*10**2# # lamda=6 meter\n", + "\n", + "f = v/l\n", + "print 'The Frequency = %0.f Hertz'%f\n", + "print 'i.e 50*10**6 Hz OR 50 MHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 15_7 Page No: 481" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Lamda or Wavelenght = 11.30 ft\n" + ] + } + ], + "source": [ + "# What is the wavelength of the sound waves produced by a loudspeaker at a frequency of 100 Hz?\n", + "\n", + "# Given data\n", + "\n", + "c = 1130# # Speed of light=1130 ft/s\n", + "f = 100# # Freq=100 Hz\n", + "\n", + "l = c/f#\n", + "print 'The Lamda or Wavelenght = %0.2f ft'%l" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 15_8 Page No: 482" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Lamda or Wavelength = 0.03 ft\n", + "The Lamda or Wavelength = 1.00 cm\n" + ] + } + ], + "source": [ + "# For ultrasonic waves at a frequency of 34.44 kHz, calculate the wavelength in feet and in centimeters.\n", + "\n", + "# Given data\n", + "\n", + "c = 1130# # Speed of light=1130 ft/s\n", + "f = 34.44*10**3# # Freq=100 Hz\n", + "In = 2.54# # 2.54 cm = 1 in\n", + "ft = 12# # 12 in = 1 ft\n", + "\n", + "l = c/f#\n", + "print 'The Lamda or Wavelength = %0.2f ft'%l\n", + "\n", + "a = l*ft#\n", + "\n", + "l1 = a*In#\n", + "print 'The Lamda or Wavelength = %0.2f cm'%l1" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter16.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter16.ipynb new file mode 100755 index 00000000..94af71c5 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter16.ipynb @@ -0,0 +1,285 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 16 : Capacitance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 16_1 Page No. 492" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Charge Stored = 1.00e-04 Columb\n", + "i.e 100*10**-6 Columbs\n" + ] + } + ], + "source": [ + "# How much charge is stored in a 2 uF capacitor connected across a 50-V supply?\n", + "\n", + "# Given data\n", + "\n", + "V = 50# # Voltage=50 Volts\n", + "C = 2*10**-6# # Capacitor=2 uFarad\n", + "\n", + "Q = C*V#\n", + "print 'The Charge Stored = %0.2e Coulomb'%Q\n", + "print 'i.e 100*10**-6 Coulombs'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 16_2 Page No. 492" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Charge Stored = 2.00e-03 Columb\n", + "i.e 2000*10**-6 Columbs\n" + ] + } + ], + "source": [ + "# How much charge is stored in a 40 uF capacitor connected across a 50-V supply?\n", + "\n", + "# Given data\n", + "\n", + "V = 50# # Voltage=50 Volts\n", + "C = 40*10**-6# # Capacitor=2 uFarad\n", + "\n", + "Q = C*V#\n", + "print 'The Charge Stored = %0.2e Coulomb'%Q\n", + "print 'i.e 2000*10**-6 Coulombs'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 16_3 Page No. 493" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Charge Stored = 4.00e-05 Columb\n", + "i.e 40*10**-6 Columbs OR 40 uColumb\n" + ] + } + ], + "source": [ + "# A constant current of 2 uA charges a capacitor for 20 s. How much charge is stored? Remember I=Q/t or Q=I*t.\n", + "\n", + "# Given data\n", + "\n", + "I = 2*10**-6# # Current=2 uAmps\n", + "t = 20# # Time=20 Sec\n", + "\n", + "Q = I*t\n", + "print 'The Charge Stored = %0.2e Coulomb'%Q\n", + "print 'i.e 40*10**-6 Coulombs OR 40 uCoulomb'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 16_4 Page No. 494" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Capacitance = 2.00e-06 Farad\n", + "i.e 2 uF\n" + ] + } + ], + "source": [ + "# The voltage across the charged capacitor is 20 V. Calculate C.\n", + "\n", + "#Given data\n", + "\n", + "V = 20# # Voltage=20 Volts\n", + "Q = 40*10**-6# # Charge=40 uCoulomb\n", + "\n", + "C = Q/V\n", + "print 'The Capacitance = %0.2e Farad'%C\n", + "print 'i.e 2 uF'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 16_5 Page No. 495" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage across Capacitor = 500.00 Volts\n" + ] + } + ], + "source": [ + "# A constant current of 5 mA charges a 10 uF capacitor for 1 s. How much is the voltage across the capacitor?\n", + "\n", + "# Given data\n", + "\n", + "I = 5*10**-3# # Current=5 mAmps\n", + "t = 1# # Time=1 Sec\n", + "C = 10*10**-6# # Cap=10 uFarad\n", + "\n", + "Q = I*t#\n", + "\n", + "V = Q/C#\n", + "print 'The Voltage across Capacitor = %0.2f Volts'%V" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 16_6 Page No. 496" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Capacitance = 1.77e-09 Farad\n", + "i.e 1700*10**-12 F OR 1770 pF\n" + ] + } + ], + "source": [ + "# Calculate C for two plates, each with an area 2 sqm, separated by 1 cm with a dielectric of air.\n", + "\n", + "# Given data\n", + "\n", + "c = 8.85*10**-12# # Constant=8.85 p\n", + "A = 2# # Area=2 sqm\n", + "d = 1*10**-2# # Distance=1 cm\n", + "K = 1 # Permeability=1\n", + "\n", + "C = K*c*(A/d)#\n", + "print 'The Capacitance = %0.2e Farad'%C\n", + "print 'i.e 1700*10**-12 F OR 1770 pF'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 16_11 Page No. 514" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Energy Stored = 0.23 Joules\n" + ] + } + ], + "source": [ + "# The high-voltage circuit for a color picture tube can have 30 kV across 500 pF of C . Calculate the stored energy.\n", + "\n", + "# Given data\n", + "\n", + "V = 30*10**3# # Voltage=30 kVolts\n", + "C = 500*10**-12# # Cap=500 pFarad\n", + "\n", + "E = 0.5*C*V*V\n", + "print 'The Energy Stored = %0.2f Joules'%E" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter17.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter17.ipynb new file mode 100755 index 00000000..a7a1d312 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter17.ipynb @@ -0,0 +1,307 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter17 : Capacitive Reactance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 17_1 Page No. 530" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Capacitive Reactance = 1136.82 Ohms\n", + "approx 1140 Ohms\n", + "The Capacitive Reactance = 113.68 Ohms\n", + "approx 114 Ohms\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# How much is Xc for (a) 0.1 u\u0003F of C at 1400 Hz? (b) 1 u\u0003F of C at the same frequency?\n", + "\n", + "# Given data\n", + "\n", + "f = 1400# # Frequency=1400 Hz\n", + "C1 = 0.1*10**-6# # Cap1=0.1 uF\n", + "C2 = 1*10**-6# # Cap2=1 uF\n", + "\n", + "Xc1 = 1./(2.*pi*f*C1)#\n", + "print 'The Capacitive Reactance = %0.2f Ohms'%Xc1\n", + "print 'approx 1140 Ohms'\n", + "\n", + "Xc2 = 1./(2.*pi*f*C2)#\n", + "print 'The Capacitive Reactance = %0.2f Ohms'%Xc2\n", + "print 'approx 114 Ohms'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 17_2 Page No. 530" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Capacitive Reactance = 3386.28 Ohms\n", + "approx 3388 Ohms\n", + "The Capacitive Reactance = 338.63 Ohms\n" + ] + } + ], + "source": [ + "from math import pi\n", + "#How much is the Xc of a 47-pF value of C at (a) 1 MHz? (b) 10 MHz?\n", + "\n", + "# Given data\n", + "\n", + "f1 = 1*10**6# # Frequency1=1 MHz\n", + "f2 = 10*10**6# # Frequency2=10 MHz\n", + "C = 47*10**-12# # Cap=47 pF\n", + "\n", + "# For 1 MHz\n", + "\n", + "Xc1 = 1./(2.*pi*f1*C)#\n", + "print 'The Capacitive Reactance = %0.2f Ohms'%Xc1\n", + "print 'approx 3388 Ohms'\n", + "\n", + "# For 10 MHz\n", + "\n", + "Xc2 = 1./(2.*pi*f2*C)#\n", + "print 'The Capacitive Reactance = %0.2f Ohms'%Xc2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 17_3 Page No. 532" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Capacitance = 4.68e-10 Farads\n", + "approx 468 pF\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# What C is needed for Xc of 100 Ohms\u0003 at 3.4 MHz?\n", + "\n", + "# Given data\n", + "\n", + "f = 3.4*10**6# # Frequency=3.4 MHz\n", + "Xc = 100# # Capacitive Reactance=100 Ohms\n", + "\n", + "C = 1./(2.*pi*f*Xc)#\n", + "print 'The Capacitance = %0.2e Farads'%C\n", + "print 'approx 468 pF'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 17_4 Page No. 533" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Frequency = 159.15 Hertz\n", + "approx 159 Hz\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# At what frequency will a 10 uF capacitor have Xc equal to 100 Ohms\u0003?\n", + "\n", + "# Given data\n", + "\n", + "Xc = 100# # Capacitive Reactance=100 Ohms\n", + "C = 10*10**-6# # Cap=10 uF\n", + "\n", + "f = 1./(2.*pi*C*Xc)#\n", + "print 'The Frequency = %0.2f Hertz'%f\n", + "print 'approx 159 Hz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 17_5 Page No. 534" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Instantaneous Value of Charging Current ic produced = 3.00e-04 Amps\n", + "i.e 300 uAmps\n" + ] + } + ], + "source": [ + "# Calculate the instantaneous value of charging current ic produced by a 6 u\u0003F C when its potential difference is increased by 50 V in 1 s.\n", + "\n", + "# Given data\n", + "\n", + "C = 6*10**-6# # Cap=6 uF\n", + "dv = 50.# # differential voltage increased by 50 Volts\n", + "dt = 1.# # differectial time is 1 sec\n", + "\n", + "ic = C*(dv/dt)#\n", + "print 'The Instantaneous Value of Charging Current ic produced = %0.2e Amps'%ic\n", + "print 'i.e 300 uAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 17_6 Page No. 535" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Instantaneous Value of Discharging Current ic produced = -3.00e-04 Amps\n", + "i.e -300 uAmps\n" + ] + } + ], + "source": [ + "# Calculate the instantaneous value of charging current ic produced by a 6 u\u0003F C when its potential difference is decreased by 50 V in 1 s.\n", + "\n", + "# Given data\n", + "\n", + "C = 6*10**-6# # Cap=6 uF\n", + "dv = -50.# # differential voltage decreased by 50 Volts\n", + "dt = 1.# # differectial time is 1 sec\n", + "\n", + "ic = C*(dv/dt)#\n", + "print 'The Instantaneous Value of Discharging Current ic produced = %0.2e Amps'%ic\n", + "print 'i.e -300 uAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 17_7 Page No. 536" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Instantaneous Value of ic produced = 1.25e-02 Amps\n", + "12500 uAmps or 12.5 mAmps\n" + ] + } + ], + "source": [ + "# Calculate ic produced by a 250-pF capacitor for a change of 50 V in 1 u\u0002s.\n", + "\n", + "# Given data\n", + "\n", + "C = 250*10**-12# # Cap=250 pF\n", + "dv = 50.# # differential voltage increased by 50 Volts\n", + "dt = 1.*10**-6# # differectial time is 1 usec\n", + "\n", + "ic = C*(dv/dt)#\n", + "print 'The Instantaneous Value of ic produced = %0.2e Amps'%ic\n", + "print '12500 uAmps or 12.5 mAmps'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter18.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter18.ipynb new file mode 100755 index 00000000..55e5731f --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter18.ipynb @@ -0,0 +1,144 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 18 : Capacitive Circuits" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 18_1 Page No. 545" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Zt = 50.00 Ohms\n", + "I = 2.00 Ampers\n", + "Voltage Across Resistor = 60 Volts\n", + "Voltage Across Capacitive Reactance = 80.00 Volts\n", + "Theta z =-53.13 degree\n", + "Sum of Voltage Drop is Equal to Applied Voltage of 100V = 100.00 Volts\n" + ] + } + ], + "source": [ + "from math import sqrt,pi,atan\n", + "# If a R=30ohms and Xc=40ohms are in series with 100V applied, find the following: Zt, I, Vr, Vc and Theta z. What is the phase angle between Vc and Vr with respect to I? Prove that the sum of the series voltage drop equals the applied voltage Vt\n", + "\n", + "# Given data\n", + "\n", + "R = 30.# # Resistance=30 Ohms\n", + "Xc = 40.# # Capacitive Reactance=40 Ohms\n", + "Vt = 100.# # Applied Voltage=100 Volts\n", + "\n", + "R1 = R*R#\n", + "Xc1 = Xc*Xc#\n", + "\n", + "Zt = sqrt(R1+Xc1)#\n", + "print 'Zt = %0.2f Ohms'%Zt\n", + "\n", + "I = (Vt/Zt)#\n", + "print 'I = %0.2f Ampers'%I\n", + "\n", + "Vr = I*R#\n", + "print 'Voltage Across Resistor = %02.f Volts'%Vr\n", + "\n", + "Vc = I*Xc#\n", + "print 'Voltage Across Capacitive Reactance = %0.2f Volts'%Vc\n", + "\n", + "Oz = atan(-(Xc/R))*180/pi\n", + "print 'Theta z =%0.2f degree'%Oz\n", + "\n", + "#Prove that the sum of the series voltage drop equals the applied voltage Vt\n", + "\n", + "Vt = sqrt((Vr*Vr)+(Vc*Vc))#\n", + "print 'Sum of Voltage Drop is Equal to Applied Voltage of 100V = %0.2f Volts'%Vt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 18_2 Page No. 548" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Total Current = 0.05 Amps\n", + "i.e 50 mAmps\n", + "The Equivqlent Impedence = 1440.00 Ohms\n", + "i.e 1.44 kohms\n", + "The Value of Theta I = 53.13 degrees\n" + ] + } + ], + "source": [ + "from math import sqrt,pi,atan\n", + "# A 30-mA Ir is in parallel with another branch current of 40 mA for Ic. The applied voltage Va is 72 V. Calculate It, Zeq and Theta \u0002I.\n", + "\n", + "# Given data\n", + "\n", + "Ir = 30.*10**-3# # Current Ir=30 mA\n", + "Ic = 40.*10**-3# # Current Ic=40 mA\n", + "Va = 72.# # Applied Voltage=72 Volts\n", + "\n", + "A = Ir*Ir#\n", + "B = Ic*Ic#\n", + "\n", + "It = sqrt(A+B)#\n", + "print 'The Total Current = %0.2f Amps'%It\n", + "print 'i.e 50 mAmps'\n", + "\n", + "Zeq = Va/It#\n", + "print 'The Equivqlent Impedence = %0.2f Ohms'%Zeq\n", + "print 'i.e 1.44 kohms'\n", + "\n", + "Oi = atan(Ic/Ir)*180/pi\n", + "print 'The Value of Theta I = %0.2f degrees'%Oi" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter19.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter19.ipynb new file mode 100755 index 00000000..5e3f9929 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter19.ipynb @@ -0,0 +1,830 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 19 : Inductance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_1 Page No. 580" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The di/dt Rate of Current change = 4 A/s\n" + ] + } + ], + "source": [ + "# The current in an inductor changes from 12 to 16 A in 1s. How much is the di/\u0002dt rate of current change in amperes per second?\n", + "\n", + "# Given data\n", + "\n", + "di = 4# # Differential current=16-12=4 Amps\n", + "dt = 1# # Differential time=1 sec\n", + "\n", + "A = di/dt#\n", + "print 'The di/dt Rate of Current change = %0.f A/s'%A" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_2 Page No. 580" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The di/dt Rate of Current change = 2.50e+04 A/s\n" + ] + } + ], + "source": [ + "# The current in an inductor changes by 50 mA in 2 us. How much is the di/\u0002dt rate of current change in amperes per second?\n", + "\n", + "# Given data\n", + "\n", + "di = 50.*10**-3# # Differential current=50 mAmps\n", + "dt = 2.*10**-6# # Differential time=2 usec\n", + "\n", + "A = di/dt#\n", + "print 'The di/dt Rate of Current change = %0.2e A/s'%A" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_3 Page No. 581" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Inductance = 10 Henry\n" + ] + } + ], + "source": [ + "# How much is the inductance of a coil that induces 40 V when its current changes at the rate of 4 A/\u0002s?\n", + "\n", + "# Given data\n", + "\n", + "Vl = 40# # Induced voltage=40 Volts\n", + "R = 4 # Current changing rate=di/dt=4 A/s\n", + "\n", + "L = Vl/R#\n", + "print 'The Value of Inductance = %0.f Henry'%L" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_4 Page No. 582" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Inductance = 4.00e-02 Henry\n", + "OR 40 mH\n" + ] + } + ], + "source": [ + "# How much is the inductance of a coil that induces 1000 V when its current changes at the rate of 50 mA in 2\u0002us?\n", + "\n", + "# Given data\n", + "\n", + "Vl = 1000# # Induced voltage=1000 Volts\n", + "di = 50*10**-3# # differential current=50 mAmps\n", + "dt = 2*10**-6# # differential time=2 usec\n", + "\n", + "A = di/dt#\n", + "\n", + "L = Vl/A#\n", + "print 'The Value of Inductance = %0.2e Henry'%L\n", + "print 'OR 40 mH'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_5 Page No. 582" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Self-Induced Voltage = 48 Volts\n" + ] + } + ], + "source": [ + "# How much is the self-induced voltage across a 4-H inductance produced by a current change of 12 A/\u0002s?\n", + "\n", + "# Given data\n", + "\n", + "L = 4# # Inductor=4 H\n", + "R = 12# # current change=di/dt=12 A/s\n", + "\n", + "Vl = L*R#\n", + "print 'The Value of Self-Induced Voltage = %0.f Volts'%Vl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_6 Page No. 583" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Self-Induced Voltage = 1.00e+04 Volts\n", + "OR 10 kVolts\n" + ] + } + ], + "source": [ + "# The current through a 200-mH L changes from 0 to 100 mA in 2 u\u0002s. How much is Vl ?\n", + "\n", + "# Given data\n", + "\n", + "L = 200*10**-3# # Inductor=200 mH\n", + "di = 100*10**-3# # differential current=100 mAmps\n", + "dt = 2*10**-6# # differectial time=2 usec\n", + "\n", + "A = di/dt#\n", + "\n", + "Vl = L*A#\n", + "print 'The Value of Self-Induced Voltage = %0.2e Volts'%Vl\n", + "print 'OR 10 kVolts'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_7 Page No. 583" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Coefficient of Coupling k between Coil L1 and Coil L2 = 0.75\n" + ] + } + ], + "source": [ + "# A coil L1 produces 80 u\u0002Wb of magnetic flux. Of this total flux, 60 u\u0002Wb arelinked with L2. How much is k between L1 and L2?\n", + "\n", + "# Given data\n", + "\n", + "lf1 = 80.*10**-6# # Magnetic flux of coil L1=80 uWb\n", + "lf2 = 60.*10**-6# # Magnetic flux of coil L2=60 uWb\n", + "\n", + "k = lf2/lf1#\n", + "print 'The Coefficient of Coupling k between Coil L1 and Coil L2 = %0.2f'%k" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_8 Page No. 584" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Coefficient of Coupling k between Coil L1 and Coil L2 = 1\n" + ] + } + ], + "source": [ + "# A 10-H inductance L1 on an iron core produces 4 Wb of magnetic flux. Another coil L2 is on the same core. How much is k between L1 and L2?\n", + "\n", + "# Given data\n", + "\n", + "lf1 = 4# # Magnetic flux of coil L1=4 Wb\n", + "lf2 = 4# # Magnetic flux of coil L2=4 Wb\n", + "\n", + "k = lf2/lf1#\n", + "print 'The Coefficient of Coupling k between Coil L1 and Coil L2 = %0.f'%k" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_9 Page No. 585" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The mutual inductance = 0.08 Henry\n", + "i.e 80*10**-3 H OR 80 mH\n" + ] + } + ], + "source": [ + "\n", + "from math import sqrt\n", + "# Two 400-mH coils L1 and L2 have a coefficient of coupling k equal to 0.2. Calculate Lm.\n", + "\n", + "# Given data\n", + "\n", + "L1 = 400*10**-3# # L1=400 mH\n", + "L2 = 400*10**-3# # L2=400 mH\n", + "k = 0.2# # Coupling coefficient=0.2\n", + "\n", + "Lm = k*sqrt(L1*L2)#\n", + "print 'The mutual inductance = %0.2f Henry'%Lm\n", + "print 'i.e 80*10**-3 H OR 80 mH'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_10 Page No. 586" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Coupling Coefficient k = 0.10\n" + ] + } + ], + "source": [ + "from math import sqrt\n", + "# If the two coils had a mutual inductance LM of 40 mH, how much would k be?\n", + "\n", + "# Given data\n", + "\n", + "L1 = 400.*10**-3# # Coil Inductance 1=400 mH\n", + "L2 = 400.*10**-3# # Coil Inductance 2=400 mH\n", + "Lm = 40.*10**-3# # Mutual inductance=40 mH\n", + "\n", + "lt = sqrt(L1*L2)#\n", + "\n", + "k = Lm/lt#\n", + "print'The Coupling Coefficient k = %0.2f'% k" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_11 Page No. 590" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Turns Ratio = 0.1667\n", + "OR 1:6\n", + "The Secondary Voltage = 720.00 Volts\n" + ] + } + ], + "source": [ + "# A power transformer has 100 turns for Np and 600 turns for Ns. What is the turns ratio? How much is the secondary voltage Vs if the primary voltage Vp is 120 V?\n", + "\n", + "# Given data\n", + "\n", + "np = 100.# # Turns in primary coil=100\n", + "ns = 600.# # Turns in secondary coil=600\n", + "vp = 120.# # Primary voltage=120 Volts\n", + "\n", + "Tr = np/ns#\n", + "print 'The Turns Ratio = %0.4f'%Tr\n", + "print 'OR 1:6'\n", + "\n", + "vs = vp*(ns/np)#\n", + "print 'The Secondary Voltage = %0.2f Volts'%vs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_12 Page No. 590" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Turns Ratio 20:1 or 20.00\n", + "The Secondary Voltage = 6.00 Volts\n" + ] + } + ], + "source": [ + "# A power transformer has 100 turns for Np and 5 turns for Ns. What is the turns ratio? How much is the secondary voltage Vs with a primary voltage of 120 V?\n", + "\n", + "# Given data\n", + "\n", + "np = 100.# # Turns in primary coil=100\n", + "ns = 5.# # Turns in secondary coil=5\n", + "vp = 120.# # Primary voltage=120 Volts\n", + "\n", + "Tr = np/ns#\n", + "print 'The Turns Ratio 20:1 or %0.2f'%Tr\n", + "\n", + "vs = vp*(ns/np)#\n", + "print 'The Secondary Voltage = %0.2f Volts'%vs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_13 Page No. 591" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Secondary Current = 0.10 Amps\n", + "The Primary Current = 0.60 Amps\n" + ] + } + ], + "source": [ + "# A transformer with a 1:6 turns ratio has 720 V across 7200 Ohms\u0006 in the secondary. (a) How much is Is? (b) Calculate the value of Ip.\n", + "\n", + "# Given data\n", + "\n", + "vs = 720.# # Secondary voltage=720 Volts\n", + "Rl = 7200.# # Secondary load=7200 Ohms\n", + "tr = 1./6# # Turns ratio=1:6\n", + "\n", + "Is = vs/Rl#\n", + "print 'The Secondary Current = %0.2f Amps'%Is\n", + "\n", + "Ip = Is/tr#\n", + "print 'The Primary Current = %0.2f Amps'%Ip" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_14 Page No. 591" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Secondary Current = 10.00 Amps\n", + "The Primary Current = 0.50 Amps\n" + ] + } + ], + "source": [ + "# A transformer with a 20:1 voltage step-down ratio has 6 V across 0.6 \u0006 in the secondary. (a) How much is Is? (b) How much is Ip?\n", + "\n", + "# Given data\n", + "\n", + "vs = 6.# # Secondary voltage=6 Volts\n", + "Rl = 0.6# # Secondary load=0.6 Ohms\n", + "tr = 20./1# # Turns ratio=20:1\n", + "\n", + "Is = vs/Rl#\n", + "print 'The Secondary Current = %0.2f Amps'%Is\n", + "\n", + "Ip = Is/tr#\n", + "print 'The Primary Current = %0.2f Amps'%Ip" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_15 Page No. 593" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Primary current = 0.42 Amps\n", + "OR 420 mAmps\n" + ] + } + ], + "source": [ + "# Calculate the primary current I P if the secondary current Is equals its rated value of 2 A.\n", + "\n", + "# Given data\n", + "\n", + "vs = 25.2# # Secondary voltage=25.2 Volts\n", + "vp = 120.# # Primary voltage=120 Volts\n", + "Is = 2.# # Secondary current=2 Amps\n", + "\n", + "Ip = Is*(vs/vp)#\n", + "print 'The Primary current = %0.2f Amps'%Ip\n", + "print 'OR 420 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_16 Page No. 593" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Primary Impedence = 128.00 Ohms by Method 1\n", + "Primary Impedence = 128.00 Ohms by Method 2\n" + ] + } + ], + "source": [ + "# Determine the Primary Impedence Zo\n", + "\n", + "# Method 1\n", + "# Given data\n", + "\n", + "Vp = 32.# # Primary Voltage = 32 Volts\n", + "Rl = 8.# # Load Resistance = 8 Ohms\n", + "TR = 4.# # Turns Ratio Np/Ns = 4/1\n", + "\n", + "Vs = Vp/TR#\n", + "\n", + "Is = Vs/Rl#\n", + "\n", + "Ip = ((Vs/Vp)*Is)#\n", + "\n", + "Zp = Vp/Ip#\n", + "print 'Primary Impedence = %0.2f Ohms by Method 1'%Zp\n", + "\n", + "# Method 2\n", + "\n", + "Zp = TR*TR*Rl#\n", + "print 'Primary Impedence = %0.2f Ohms by Method 2'%Zp" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_17 Page No. 594" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Turns ratio Np/Ns = 0.50\n", + "OR 1/2\n", + "The Turns ratio Np/Ns is 1.414/1 or 1.41\n" + ] + } + ], + "source": [ + "from math import sqrt\n", + "# Calculate the turns ratio Np/Ns that will produce a reflected primary impedance Zp of (a) 75 Ohms# (b) 600 Ohms.\n", + "\n", + "# Given data\n", + "\n", + "Zs = 300.# # Secondary impedence=300 Ohms\n", + "Zp1 = 75.# # Primary impedence=75 Ohms\n", + "Zp2 = 600.# # Primary impedence=600 Ohms\n", + "\n", + "tra = sqrt (Zp1/Zs)#\n", + "print 'The Turns ratio Np/Ns = %0.2f'%tra\n", + "print 'OR 1/2'\n", + "\n", + "trb = sqrt (Zp2/Zs)#\n", + "print 'The Turns ratio Np/Ns is 1.414/1 or %0.2f'%trb" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_18 Page No. 595" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Total Inductance = 1.50e-02 Henry\n", + "i.e 15 mH\n" + ] + } + ], + "source": [ + "# Inductance L1 is 5 mH and L2 is 10 mH. How much is Lt?\n", + "\n", + "# Given data\n", + "\n", + "l1 = 5*10**-3# # Inductor 1=5 mH\n", + "l2 = 10*10**-3# # Inductor 2=10 mH\n", + "\n", + "Lt = l1+l2#\n", + "print 'The Total Inductance = %0.2e Henry'%Lt\n", + "print 'i.e 15 mH'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_19 Page No. 597" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Equivalent Inductance = 0.04 Henry\n", + "i.e 4 mH\n" + ] + } + ], + "source": [ + "# Inductances L1 and L2 are each 8 mH. How much is Leq?\n", + "\n", + "# Given data\n", + "\n", + "l1 = 8*10**-3# # Inductor 1=8 mH\n", + "l2 = 8*10**-3# # Inductor 2=8 mH\n", + "\n", + "a = 1./l1#\n", + "b = 1./l2#\n", + "\n", + "Leq = 10/(a+b)#\n", + "print 'The Equivalent Inductance = %0.2f Henry'%Leq\n", + "print 'i.e 4 mH'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_20 Page No. 598" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Mutual Inductance = 2.50e-05 Henry\n", + "i.e 25 uH\n", + "The Coupling coefficient k = 0.10\n" + ] + } + ], + "source": [ + "from math import sqrt\n", + "# Two series coils, each with an L of 250 u\u0002H, have a total inductance of 550 u\u0002H connected series-aiding and 450 uH series-opposing. (a) How much is the mutual inductance Lm between the two coils? (b) How much is the coupling coefficient k?\n", + "\n", + "# Given data\n", + "\n", + "l1 = 250*10**-6# # Coil Inductance 1=250 uH\n", + "l2 = 250*10**-6# # Coil Inductance 2=250 uH\n", + "Lts = 550*10**-6# # Inductance series-aiding=550 uH\n", + "Lto = 450*10**-6# # Inductance series-opposing=450 uH\n", + "\n", + "Lm = (Lts-Lto)/4.\n", + "print 'The Mutual Inductance = %0.2e Henry'%Lm\n", + "print 'i.e 25 uH'\n", + "\n", + "lt = sqrt(l1*l2)#\n", + "\n", + "k = Lm/lt#\n", + "print 'The Coupling coefficient k = %0.2f'%k" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 19_21 Page No. 608" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Energy Stored in the Magnetic Field = 0.29 Joules\n" + ] + } + ], + "source": [ + "# A current of 1.2 A flows in a coil with an inductance of 0.4 H. How much energy is stored in the magnetic field?\n", + "\n", + "# Given data\n", + "\n", + "l1 = 0.4# # Coil Inductance 1=0.4 H\n", + "I = 1.2# # Current=1.2 Amps\n", + "\n", + "E = (l1*I*I)/2#\n", + "print 'The Energy Stored in the Magnetic Field = %0.2f Joules'%E" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter20.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter20.ipynb new file mode 100755 index 00000000..01adabd9 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter20.ipynb @@ -0,0 +1,296 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 20 : Inductive Reactance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 20_1 Page No. 625" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Inductive Reactance = 15709.22 Ohms\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# How much is Xl of a 6-mH L at 41.67 kHz?\n", + "\n", + "# Given data\n", + "\n", + "f = 41.67*10**3# # Frequency=41.67 kHz\n", + "L = 6.*10**-3# # Inductor=6 mH\n", + "\n", + "Xl = 20*pi*f*L#\n", + "print 'The Inductive Reactance = %0.2f Ohms'%Xl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 20_2 Page No. 627" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Inductive Reactance = 37680 Ohms\n", + "The Inductive Reactance = 1884 Ohms\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate the Xl of (a) a 10-H L at 60 Hz and (b) a 5-H L at 60 Hz.\n", + "\n", + "# Given data\n", + "\n", + "f = 60.# # Frequency=60 Hz\n", + "L1 = 10.# # Inductor 1=10 H\n", + "L2 = 5.# # Inductor 2=5 H\n", + "pi = 3.14\n", + "\n", + "Xl1 = 20*pi*f*L1#\n", + "print 'The Inductive Reactance = %0.f Ohms'%Xl1\n", + "\n", + "Xl2 = 2*pi*f*L2#\n", + "print 'The Inductive Reactance = %0.f Ohms'%Xl2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 20_3 Page No. 629" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Inductive Reactance = 1570 Ohms\n", + "The Inductive Reactance = 15700 Ohms\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate the Xl of a 250-u\u0003H coil at (a) 1 MHz and (b) 10 MHz.\n", + "\n", + "# Given data\n", + "\n", + "f1 = 1.*10**6# # Frequency1=1 MHz\n", + "f2 = 10.0*10**6# # Frequency2=10 MHz\n", + "L = 250.0*10**-6# # Inductor=250 uH\n", + "pi = 3.14#\n", + "\n", + "# For 1 Mhz\n", + "\n", + "Xl1 = 2*pi*f1*L#\n", + "print 'The Inductive Reactance = %0.f Ohms'%Xl1\n", + "\n", + "# For 10 Mhz\n", + "\n", + "Xl2 = 2*pi*f2*L#\n", + "print 'The Inductive Reactance = %0.f Ohms'%Xl2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 20_4 Page No. 631" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Inductive Reactance = 6280 Ohms\n" + ] + } + ], + "source": [ + "# A coil with negligible resistance has 62.8 V across it with 0.01 A of current. How much is Xl?\n", + "\n", + "# Given data\n", + "\n", + "Vl = 62.8# # Voltage across coil=62.8 Volts\n", + "Il = 0.01# # Current in coil=0.01 Amps\n", + "\n", + "Xl = Vl/Il#\n", + "print 'The Inductive Reactance = %0.f Ohms'%Xl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 20_5 Page No. 632" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The value of Inductor = 1.00 Henry\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate L of the coil when the frequency is 1000 Hz.\n", + "\n", + "# Given data\n", + "\n", + "Xl = 6280.# # Inductive reactance=6280 Ohms\n", + "f = 1000.# # Frequency=1000 Hz\n", + "pi = 3.14#\n", + "\n", + "L = Xl/(2.*pi*f)#\n", + "print'The value of Inductor = %0.2f Henry'% L" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 20_6 Page No. 633" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The value of Inductor = 2.08e-04 Henry\n", + "i.e Approx 208.8*10**-6 OR 208.8 uH\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate L of a coil that has 15,700 Ohms\u0003 of Xl at 12 MHz.\n", + "\n", + "# Given data\n", + "\n", + "Xl = 15700.# # Inductive reactance=15700 Ohms\n", + "f = 12.0*10**6# # Frequency=12 MHz\n", + "pi = 3.14#\n", + "\n", + "L = Xl/(2*pi*f)#\n", + "print'The value of Inductor = %0.2e Henry'% L\n", + "print 'i.e Approx 208.8*10**-6 OR 208.8 uH'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 20_7 Page No. 634" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Frequency = 159.15 Hertz\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# At what frequency will an inductance of 1 H have a reactance of 1000 \u0003?\n", + "\n", + "# Given data\n", + "\n", + "Xl = 1000.# # Inductive reactance=1000 Ohms\n", + "L = 1.# # Inductor=1 H\n", + "\n", + "f = Xl/(2.*pi*L)#\n", + "print 'The Frequency = %0.2f Hertz'%f" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter21.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter21.ipynb new file mode 100755 index 00000000..59eb0bda --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter21.ipynb @@ -0,0 +1,209 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 21 : Inductive Circuits" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 21_1 Page No. 650" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Zt = 50.00 ohms\n", + "I = 2.00 Ampers\n", + "Vr = 60.00 Volts\n", + "Vl = 80.00 Volts\n", + "Theta z = 53.13 degree\n", + "Sum of Voltage Drop = 100 which is Equal to Applied Voltage 100V \n" + ] + } + ], + "source": [ + "from math import sqrt,atan,pi\n", + "# If a R=30 ohms and Xl=40 ohms are in series with 100V applied, find the following: Zt, I, Vr, Vl and Theta z. What is the phase angle between Vl and Vr with respect to I? Prove that the sum of the series voltage drop equals the applied voltage Vt\n", + "\n", + "# Given data\n", + "\n", + "R = 30.# # Resistance=30 Ohms\n", + "Xl = 40.# # Inductive reactance=40 Ohms\n", + "Vt = 100.# # Applied voltage=100 Volts\n", + "\n", + "\n", + "R1 = R*R#\n", + "Xl1 = Xl*Xl#\n", + "\n", + "Zt = sqrt(R1+Xl1)#\n", + "print 'Zt = %0.2f ohms'%Zt\n", + "\n", + "I = (Vt/Zt)#\n", + "print 'I = %0.2f Ampers'%I\n", + "\n", + "Vr = I*R#\n", + "print 'Vr = %0.2f Volts'%Vr\n", + "\n", + "Vl = I*Xl#\n", + "print 'Vl = %0.2f Volts'%Vl\n", + "\n", + "Oz = atan(Xl/R)*180/pi\n", + "print 'Theta z = %0.2f degree'%Oz\n", + "\n", + "#Prove that the sum of the series voltage drop equals the applied voltage Vt\n", + "\n", + "Vt = sqrt((Vr*Vr)+(Vl*Vl))#\n", + "print 'Sum of Voltage Drop = %0.f which is Equal to Applied Voltage 100V '%Vt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 21_2 Page No. 654" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Total Impedence = 268.33 Ohms\n" + ] + } + ], + "source": [ + "from math import sqrt\n", + "# What is the total Z of a 600-Ohms\u0005 R in parallel with a 300 Ohms\u0005 Xl? Assume 600 V for the applied voltage.\n", + "\n", + "# Given data\n", + "\n", + "R = 600.# # Resistance=600 Ohms\n", + "Xl = 300.# # Inductive reactance=300 Ohms\n", + "V = 600.# # Applied voltage=600 Volts\n", + "\n", + "Ir = V/R#\n", + "Il = V/Xl#\n", + "A = Ir*Ir#\n", + "B = Il*Il#\n", + "It = sqrt(A+B)#\n", + "\n", + "Zeq = V/It#\n", + "print 'The Total Impedence = %0.2f Ohms'%Zeq" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 21_3 Page No. 656" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Q of Coil = 350.00\n" + ] + } + ], + "source": [ + "# An air-core coil has an Xl of 700 Ohms\u0005 and an Re of 2 Ohms\u0005. Calculate the value of Q for this coil.\n", + "\n", + "# Given data\n", + "\n", + "Xl = 700# # Inductive reactance=700 Ohms\n", + "Re = 2# # AC effective resistance=2 Ohms\n", + "\n", + "Q = Xl/Re#\n", + "print 'The Q of Coil = %0.2f'%Q" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 21_4 Page No. 658" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The AC Effective Resistance = 1.57 Ohms\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# A 200 uH coil has a Q of 40 at 0.5 MHz. Find Re.\n", + "\n", + "# Given data\n", + "\n", + "L = 200.*10**-6# # L of coil=200 uHenry\n", + "Q = 400# # Q=40\n", + "f = 0.5*10**6# # Frequency=0.5 MHz\n", + "pi = 3.14#\n", + "\n", + "Xl = 2*pi*L*f#\n", + "\n", + "Re = Xl/Q#\n", + "print 'The AC Effective Resistance = %0.2f Ohms'%Re" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter22.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter22.ipynb new file mode 100755 index 00000000..cd340733 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter22.ipynb @@ -0,0 +1,418 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 22 : RC and L/R Time Constants" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_1 Page No. 674" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Time Constant = 0.20 Seconds\n" + ] + } + ], + "source": [ + "# What is the time constant of a 20-H coil having 100 Ohms\u0002 of series resistance?\n", + "\n", + "# Given data\n", + "\n", + "L = 20.# # Inductor=20 Henry\n", + "R = 100.# # Resistor=100 Ohms\n", + "\n", + "T = L/R#\n", + "print 'The Time Constant = %0.2f Seconds'%T" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_2 Page No. 674" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Since 0.2 sec is one time constant, I is 63% of 100 mA\n", + "The current at 0.2 sec time constant = 0.06 A\n", + "After 1 sec the current reaches its steady state value of 100 mAmps \n" + ] + } + ], + "source": [ + "# An applied dc voltage of 10 V will produce a steady-state current of 100 mA in the 100-Ohms coil. How much is the current after 0.2 s? After 1 s?\n", + "\n", + "# Given data\n", + "\n", + "L = 20.# # Inductor=20 Henry\n", + "R = 100.# # Resistor=100 Ohms\n", + "I = 100.*10**-3# # Steady-state current=100 mAmps\n", + "\n", + "print 'Since 0.2 sec is one time constant, I is 63% of 100 mA'\n", + "I1 = 0.63*I#\n", + "print 'The current at 0.2 sec time constant = %0.2f A'%I1\n", + "\n", + "print 'After 1 sec the current reaches its steady state value of 100 mAmps '" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_3 Page No. 675" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Time Constant = 2.00e-05 Seconds\n", + "i.e 20 us\n" + ] + } + ], + "source": [ + "# If a 1-M Ohms\u0002 R is added in series with the coil, how much will the time constant be for the higher resistance RL circuit?\n", + "\n", + "# Given data\n", + "\n", + "L = 20.# # Inductor=20 Henry\n", + "R = 1.*10**6# # Resistor=1 MOhms\n", + "\n", + "T = L/R#\n", + "print 'The Time Constant = %0.2e Seconds'%T\n", + "print 'i.e 20 us'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_4 Page No. 676" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Time Constant = 1.00e-02 Seconds\n" + ] + } + ], + "source": [ + "# What is the time constant of a 0.01-u\u0003F capacitor in series with a 1-M\u0002 Ohmsresistance?\n", + "\n", + "# Given data\n", + "\n", + "C = 0.01*10**-6# # Capacitor=0.01 uFarad\n", + "R = 1*10**6# # Resistor=1 MOhms\n", + "\n", + "T = C*R#\n", + "print 'The Time Constant = %0.2e Seconds'%T" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_5 Page No. 677" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Time Constant = 1.00e-02 Seconds\n", + "Since 0.01 sec is one time constant, the voltage across C then is 63% of 300 V,\n", + "The Capacitor voltage at 0.01 Sec = 189.00 Volts\n", + "After 5 time constants or 0.05 Sec Capacitor voltage = 300.00 volts \n", + "After 2 hours or 2 days the C will be still charged to 300 V if the supply is still connected\n" + ] + } + ], + "source": [ + "# With a dc voltage of 300 V applied, how much is the voltage across C in Example 22–4 after 0.01 s of charging? After 0.05 s? After 2 hours? After 2 days?\n", + "\n", + "# Given data\n", + "\n", + "C = 0.01*10**-6# # Capacitor=0.01 uFarad\n", + "R = 1.*10**6# # Resistor=1 MOhms\n", + "V = 300.# # Applied DC=300 Volts\n", + "\n", + "T = C*R#\n", + "print 'The Time Constant = %0.2e Seconds'%T\n", + "\n", + "print 'Since 0.01 sec is one time constant, the voltage across C then is 63% of 300 V,'\n", + "\n", + "T1 = 0.63*V#\n", + "print 'The Capacitor voltage at 0.01 Sec = %0.2f Volts'%T1\n", + "\n", + "T2 = V\n", + "print 'After 5 time constants or 0.05 Sec Capacitor voltage = %0.2f volts '%V\n", + "\n", + "print 'After 2 hours or 2 days the C will be still charged to 300 V if the supply is still connected'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_6 Page No. 678" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "In one time constant, C discharges to 37% of its initial voltage\n", + "The Capacitor voltage after 0.01 sec start of discharge = 1110 volts\n" + ] + } + ], + "source": [ + "# If the capacitor is allowed to charge to 300 V and then discharged, how much is the capacitor voltage 0.01 s after the start of discharge? The series resistance is the same on discharge as on charge.\n", + "\n", + "# Given data\n", + "\n", + "C = 0.01*10**-6# # Capacitor=0.01 uFarad\n", + "R = 1.*10**6# # Resistor=1 MOhms\n", + "V = 3000# # Applied DC=300 Volts\n", + "\n", + "print 'In one time constant, C discharges to 37% of its initial voltage'\n", + "\n", + "V1 = 0.37*V#\n", + "print 'The Capacitor voltage after 0.01 sec start of discharge = %0.f volts'%V1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_7 Page No. 680" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "In one time constant, C discharges to 37% of its initial voltage\n", + "The Capacitor voltage after 0.01 sec start of discharge = 74 volts\n" + ] + } + ], + "source": [ + "# Assume the capacitor is discharging after being charged to 200 V. How much will the voltage across C be 0.01 s after the beginning of discharge? The series resistance is the same on discharge as on charge.\n", + "\n", + "# Given data\n", + "\n", + "C = 0.01*10**-6# # Capacitor=0.01 uFarad\n", + "R = 1*10**6# # Resistor=1 MOhms\n", + "V = 200# # Capacitor voltage=200 Volts\n", + "\n", + "print 'In one time constant, C discharges to 37% of its initial voltage'\n", + "\n", + "V1 = 0.37*V#\n", + "print 'The Capacitor voltage after 0.01 sec start of discharge = %0.f volts'%V1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_8 Page No. 681" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Time Constant = 2.00e-02 Seconds\n" + ] + } + ], + "source": [ + "# If a 1-M Ohms resistance is added in series with the capacitor 0.01-u\u0003F and resistor 1-M Ohms in, how much will the time constant be?\n", + "\n", + "# Given data\n", + "\n", + "C = 0.01*10**-6# # Capacitor=0.01 uFarad\n", + "R = 2*10**6# # Resistor= 2 MOhms \n", + "\n", + "T = C*R#\n", + "print 'The Time Constant = %0.2e Seconds'%T" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_9 Page No. 682" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Vr = 5.42 Volts\n" + ] + } + ], + "source": [ + "from math import log10\n", + "# An RC circuit has a time constant of 3 s. The capacitor is charged to 40 V. Then C is discharged. After 6 s of discharge, how much is Vr?\n", + "\n", + "# Given data\n", + "\n", + "RC = 3# # RC time constant=3 Sec\n", + "t = 6# # Discharge time=6 Sec\n", + "Vc = 40# # Capacitor voltage=40 Volts\n", + "\n", + "A = t/RC# # constant factor\n", + "B = log10(Vc)#\n", + "\n", + "Vr = 10**(B-(A*0.434))#\n", + "print 'The Value of Vr = %0.2f Volts'%Vr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 22_10 Page No. 682" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Time Constant = 5.00e-04 Seconds\n", + "i.e 0.5*10**-3 Sec OR 0.5 mSec\n", + "Time required to charge Capacitor upto 24 Volts = 5.49e-04 Seconds\n", + "i.e approx 0.549*10**-3 Sec OR 0.549 mSec\n" + ] + } + ], + "source": [ + "from math import log10\n", + "# An RC circuit has an R of 10 k Ohms\u0002 and a C of 0.05 u\u0003F. The applied voltage for charging is 36 V. (a) Calculate the time constant. (b) How long will it take C to charge to 24 V?\n", + "\n", + "C = 0.05*10**-6# # Capacitor=0.05 uFarad\n", + "R = 10*10**3# # Resistor=10 kOhms\n", + "V = 36# # Applied voltage=36 Volts\n", + "v = 12# # Voltage drops from 36 to 12 Volts\n", + "A = 2.3# # Specific factor\n", + "\n", + "T = C*R#\n", + "print 'The Time Constant = %0.2e Seconds'%T\n", + "print 'i.e 0.5*10**-3 Sec OR 0.5 mSec'\n", + "\n", + "t = A*T*log10(V/v)#\n", + "print 'Time required to charge Capacitor upto 24 Volts = %0.2e Seconds'%t\n", + "print 'i.e approx 0.549*10**-3 Sec OR 0.549 mSec'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter23.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter23.ipynb new file mode 100755 index 00000000..59551e45 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter23.ipynb @@ -0,0 +1,136 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 23 : Alternating Current Circuits" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 23_1 Page No. 715" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total Impedence Zt = 38.18 Ohms\n", + "Current I = 0.00 Ampers\n", + "i.e 1.31 mAmps\n", + "Theta z = 45.00 Degree\n" + ] + } + ], + "source": [ + "from math import sqrt,atan,pi\n", + "# A 27-Ohms R is in series with 54 Ohms\u0004 of Xl and 27 Ohms\u0004 of Xc. The applied voltage Vt is 50 mV. Calculate ZT, I, and Theta z.\n", + "\n", + "# Given data\n", + "\n", + "R = 27.# # Resistance=27 Ohms\n", + "Xl = 54.# # Inductive reactance=54 Ohms\n", + "Vt = 50.*10**-3# # Applied voltage=100 Volts\n", + "Xc = 27.# # Capacitive reactance=27 Ohms\n", + "\n", + "nXl = Xl-Xc# # Net Inductive reactance\n", + "R1 = R*R#\n", + "nXl1 = nXl*nXl#\n", + "\n", + "Zt = sqrt(R1+nXl1)#\n", + "print 'Total Impedence Zt = %0.2f Ohms'%Zt\n", + "\n", + "I = (Vt/Zt)#\n", + "print 'Current I = %0.2f Ampers'%I\n", + "print 'i.e 1.31 mAmps'\n", + "\n", + "Oz = atan(Xc/R)*180/pi\n", + "print 'Theta z = %0.2f Degree'%Oz" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 23_2 Page No. 717" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Total Current It = 0.00 Amps\n", + "i.e 2.55 mAmps\n", + "The Equivqlent Impedence Zeq = 19.64 Ohms\n", + "approx 19.61 Ohms\n", + "Theta z = -45.00 Degree\n" + ] + } + ], + "source": [ + "from math import atan,pi,sqrt\n", + "# The following branch currents are supplied from a 50-mV source: Ir=1.8 mA# Il=2.8 mA# Ic=1 mA. Calculate It, Zeq, and Theta I.\n", + "\n", + "# Given data\n", + "\n", + "Va = 50.*10**-3# # Applied voltage=50m Volts\n", + "Ir = 1.8*10**-3# # Ir=1.8 mAmps\n", + "Il = 2.8*10**-3# # Ir=2.8 mAmps\n", + "Ic = 1.*10**-3# # Ic=1 mAmps\n", + "\n", + "nI = Il-Ic# # net current\n", + "Ir1 = Ir*Ir#\n", + "nI1 = nI*nI#\n", + "\n", + "It = sqrt(Ir1+nI1)#\n", + "print 'The Total Current It = %0.2f Amps'%It\n", + "print 'i.e 2.55 mAmps'\n", + "\n", + "Zeq = Va/It#\n", + "print 'The Equivqlent Impedence Zeq = %0.2f Ohms'%Zeq\n", + "print 'approx 19.61 Ohms'\n", + "\n", + "Oz = atan(-(nI/Ir))*180/pi\n", + "print 'Theta z = %0.2f Degree'%Oz" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter25.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter25.ipynb new file mode 100755 index 00000000..fc3c2316 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter25.ipynb @@ -0,0 +1,441 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 25 : Resonance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_1 Page No. 775" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The resonant frequency = 12.58 Hertz\n", + "approx 12.6 Hertz\n" + ] + } + ], + "source": [ + "from math import pi,sqrt\n", + "# Calculate the resonant frequency for an 8-H inductance and a 20-u\u0003F capacitance.\n", + "\n", + "# Given data\n", + "\n", + "L = 8.# # L=8 Henry\n", + "C = 20.*10**-6# # C=20 uFarad\n", + "\n", + "fr = 1./(2.*pi*sqrt(L*C))#\n", + "print 'The resonant frequency = %0.2f Hertz'%fr\n", + "print 'approx 12.6 Hertz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_2 Page No. 776" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The resonant frequency = 65007689.56 Hertz\n", + "i.e 65 MHz\n" + ] + } + ], + "source": [ + "# Calculate the resonant frequency for a 2-uH inductance and a 3-pF capacitance.\n", + "\n", + "# Given data\n", + "\n", + "L = 2.*10**-6# # Inductor=2 uHenry\n", + "C = 3.*10**-12# # Capacitor=3 pFarad\n", + "pi = 3.14#\n", + "\n", + "fr = 1./(2.*pi*sqrt(L*C))#\n", + "print 'The resonant frequency = %0.2f Hertz'%fr\n", + "print 'i.e 65 MHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_3 Page No. 778" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The value of Capacitor = 1.06e-10 Farads\n", + "i.e 106 pF\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# What value of C resonates with a 239-u\u0003H L at 1000 kHz?\n", + "\n", + "# Given data\n", + "\n", + "L = 239.*10**-6# # Inductor=239 uHenry\n", + "fr = 1000.*10**3# # Resonant frequency=1000 kHertz\n", + "\n", + "A = pi*pi# # pi square\n", + "B = fr*fr# # Resonant frequency square\n", + "\n", + "C = 1./(4.*A*B*L)#\n", + "print 'The value of Capacitor = %0.2e Farads'%C\n", + "print 'i.e 106 pF'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_4 Page No. 781" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The value of Inductor = 2.39e-04 Henry\n", + "i.e 239 uF\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# What value of L resonates with a 106-pF C at 1000 kHz, equal to 1 MHz?\n", + "\n", + "# Given data\n", + "\n", + "C = 106.*10**-12# # Capacitor=106 pFarad\n", + "fr = 1.*10**6# # Resonant frequency=1 MHertz\n", + "\n", + "A = pi*pi# # pi square\n", + "B = fr*fr# # Resonant frequency square\n", + "\n", + "C = 1./(4*A*B*C)#\n", + "print 'The value of Inductor = %.2e Henry'%C\n", + "print 'i.e 239 uF'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_5 Page No. 782" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Magnification factor Q =50.00\n" + ] + } + ], + "source": [ + "# A series circuit resonant at 0.4 MHz develops 100 mV across a 250-u\u0003H L with a 2-mV input. Calculate Q .\n", + "\n", + "# Given data\n", + "\n", + "Vo = 100.*10**-3# # Output voltage=100 mVolts\n", + "Vi = 2*10**-3# # Input voltage=2 mVolts\n", + "L = 250*10**-6# # Inductor=250 uHenry\n", + "f = 0.4*10**6# # Frequency=0.4 MHertz\n", + "\n", + "Q = Vo/Vi#\n", + "print 'The Magnification factor Q =%0.2f'%Q" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_6 Page No. 784" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Ac Resistance of Coil = 12.57 Ohms\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# What is the ac resistance of the coil in A series circuit resonant at 0.4 MHz develops 100 mV across a 250-u\u0003H L with a 2-mV input.\n", + "\n", + "# Given data\n", + "\n", + "Vo = 100.*10**-3# # Output voltage=100 mVolts\n", + "Vi = 2.0*10**-3# # Input voltage=2 mVolts\n", + "L = 250.0*10**-6# # Inductor=250 uHenry\n", + "f = 0.4*10**6# # Frequency=0.4 MHertz\n", + "\n", + "Q = Vo/Vi#\n", + "Xl = 2*pi*f*L#\n", + "\n", + "rs = Xl/Q#\n", + "print 'The Ac Resistance of Coil = %0.2f Ohms'%rs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_7 Page No. 785" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Because they divide Vt equally\n", + "The Equivalent Impedence = 225000 Ohms\n", + "i.e 225 kOhms\n", + "The Q =150.00\n" + ] + } + ], + "source": [ + "# In Fig. 25–9, assume that with a 4-mVac input signal for VT, the voltage across R1 is 2 mV when R1 is 225-kOhms\u0003. Determine Zeq and Q.\n", + "\n", + "# Given data\n", + "\n", + "vin = 4.*10**-3# # Input AC signal=4 mVac\n", + "R1 = 225.*10**3# # Resistance1=225 kOhms\n", + "vR1 = 2.*10**-3# # Voltage across Resistor1=2 mVac\n", + "xl = 1.5*10**3# # Inductive Reactance=1.5 kOhms\n", + "\n", + "print 'Because they divide Vt equally'\n", + "\n", + "Zeq = R1#\n", + "print 'The Equivalent Impedence = %0.f Ohms'%Zeq\n", + "print 'i.e 225 kOhms'\n", + "\n", + "Q = Zeq/xl#\n", + "print 'The Q =%0.2f'%Q" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_8 Page No. 786" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Magnification factor Q = 40.02\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# A parallel LC circuit tuned to 200 kHz with a 350-u\u0003H L has a measured ZEQ of 17,600. Calculate Q.\n", + "\n", + "# Given data\n", + "\n", + "L = 350.*10**-6# # Inductor=350 uHenry\n", + "f = 200.*10**3# # Frequency=200 kHertz\n", + "Zeq = 17600.# # Equivalent Impedence=17600 Ohms\n", + "\n", + "Xl = 2*pi*f*L#\n", + "\n", + "Q = Zeq/Xl#\n", + "print 'The Magnification factor Q = %0.2f'%Q" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_9 Page No. 788" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Bandwidth BW or Delta f = 20000 Hertz\n", + "i.e 20 kHz\n", + "The Edge Frequency f1 = 1990000 Hertz\n", + "i.e 1990 kHz\n", + "The Edge Frequency f2 = 2010000 Hertz\n", + "i.e 2010 kHz\n" + ] + } + ], + "source": [ + "# An LC circuit resonant at 2000 kHz has a Q of 100. Find the total bandwidth delta f and the edge frequencies f1 and f2.\n", + "\n", + "# Given data\n", + "\n", + "fr = 2000.*10**3# # Resonant frequency=2000 kHertz\n", + "Q = 100.# # Magnification factor=100\n", + "\n", + "Bw = fr/Q#\n", + "print 'The Bandwidth BW or Delta f = %0.f Hertz'%Bw\n", + "print 'i.e 20 kHz'\n", + "\n", + "f1 = fr-Bw/2#\n", + "print 'The Edge Frequency f1 = %0.f Hertz'%f1\n", + "print 'i.e 1990 kHz'\n", + "\n", + "f2 = fr+Bw/2#\n", + "print 'The Edge Frequency f2 = %0.f Hertz'%f2\n", + "print 'i.e 2010 kHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 25_10 Page No. 789" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Bandwidth BW or Delta f = 60000 Hertz\n", + "i.e 60 kHz\n", + "The Edge Frequency f1 = 5970000 Hertz\n", + "i.e 5970 kHz\n", + "The Edge Frequency f2 = 6030000 Hertz\n", + "i.e 6030 kHz\n" + ] + } + ], + "source": [ + "# An LC circuit resonant at 6000 kHz has a Q of 100. Find the total bandwidth delta f and the edge frequencies f1 and f2.\n", + "\n", + "# Given data\n", + "\n", + "fr = 6000.*10**3# # Resonant frequency=6000 kHertz\n", + "Q = 100.# # Magnification factor=100\n", + "\n", + "Bw = fr/Q#\n", + "print 'The Bandwidth BW or Delta f = %0.f Hertz'%Bw\n", + "print 'i.e 60 kHz'\n", + "\n", + "f1 = fr-Bw/2#\n", + "print 'The Edge Frequency f1 = %0.f Hertz'%f1\n", + "print 'i.e 5970 kHz'\n", + "\n", + "f2 = fr+Bw/2.0#\n", + "print 'The Edge Frequency f2 = %0.f Hertz'%f2\n", + "print 'i.e 6030 kHz'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter26.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter26.ipynb new file mode 100755 index 00000000..471f38d0 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter26.ipynb @@ -0,0 +1,425 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 26 : Filters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 26_1 Page No. 824" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Cutoff Frequency = 1591.55 Hertz\n", + "i.e 1.592 kHz\n", + "The Output Voltage = 7.07 Vpp\n", + "The Phase angle (Theta z) = -45.00 Degree\n" + ] + } + ], + "source": [ + "from math import pi,sqrt,atan\n", + "# Calculate (a)the cutoff frequency fc# (b)Vout at fc# (c)Theta at fc (Assume Vin = 10 Vpp for all frequencies)\n", + "\n", + "# Given data\n", + "\n", + "R = 10.*10**3# # Resistor=10 kOhms\n", + "C = 0.01*10**-6# # Capacitor=0.01 uFarad\n", + "Vin = 10.# # Input Voltage=10Vpp\n", + "# To calculate fc\n", + "\n", + "fc = 1./(2*pi*R*C)#\n", + "print 'The Cutoff Frequency = %0.2f Hertz'%fc\n", + "print 'i.e 1.592 kHz'\n", + "\n", + "# To calculate Vout at fc\n", + "\n", + "Xc = 1./(2*pi*fc*C)#\n", + "\n", + "Zt = sqrt((R*R)+(Xc*Xc))#\n", + "\n", + "Vout = Vin*(Xc/Zt)#\n", + "print 'The Output Voltage = %0.2f Vpp'%Vout\n", + "\n", + "# To calculate Theta\n", + "\n", + "Theta = atan(-(R/Xc))*180/pi\n", + "print 'The Phase angle (Theta z) = %0.2f Degree'%Theta" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 26_2 Page No. 825" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Cutoff Frequency = 3183.10 Hertz i.e 3.183 kHz\n", + "The Output Voltage = 9.54 Vpp\n", + "approx 9.52 Volts(p-p)\n", + "The Phase angle (Theta z) = -17.44 Degree\n" + ] + } + ], + "source": [ + "from math import pi,sqrt,atan\n", + "# Calculate (a)the cutoff frequency fc# (b)Vout at 1 kHz# (c)Theta at 1 kHz (Assume Vin = 10 Vpp for all frequencies)\n", + "\n", + "# Given data\n", + "\n", + "R = 1.*10**3# # Resistor=1 kOhms\n", + "L = 50.*10**-3 # Inductor=50 mHenry\n", + "Vin = 10.# # Input Voltage=10Vpp\n", + "f = 1.*10**3# # Frequency=1 kHz\n", + "# To calculate fc\n", + "\n", + "fc = R/(2*pi*L)#\n", + "print 'The Cutoff Frequency = %0.2f Hertz'%fc,\n", + "print 'i.e 3.183 kHz'\n", + "\n", + "# To calculate Vout at fc\n", + "\n", + "Xl = 2*pi*f*L#\n", + "\n", + "Zt = sqrt((R*R)+(Xl*Xl))#\n", + "\n", + "Vout = Vin*(R/Zt)#\n", + "print 'The Output Voltage = %0.2f Vpp'%Vout\n", + "print 'approx 9.52 Volts(p-p)'\n", + "\n", + "# To calculate Theta\n", + "\n", + "Theta = atan(-(Xl/R))*180/pi\n", + "print 'The Phase angle (Theta z) = %0.2f Degree'%Theta" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 26_3 Page No. 826" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Cutoff Frequency for RC High-Pass Filter = 10610.33 Hertz\n", + "i.e 10.61 kHz\n", + "The Cutoff Frequency for RL High-Pass Filter = 2387.32 Hertz\n", + "approx 2.39 kHz\n" + ] + } + ], + "source": [ + "from math import pi,sqrt\n", + "# Calculate the cutoff frequency for (a) the RC high-pass filter# (b) the RL high-pass filter\n", + "\n", + "# Given data\n", + "\n", + "R = 1.5*10**3# # Resistor=1.5 kOhms\n", + "L = 100.*10**-3 # Inductor=100 mHenry\n", + "C = 0.01*10**-6# # Capacitor=0.01 uFarad\n", + "\n", + "# To calculate fc for RC high-pass filter\n", + "\n", + "fc = 1./(2*pi*R*C)#\n", + "print 'The Cutoff Frequency for RC High-Pass Filter = %0.2f Hertz'%fc\n", + "print 'i.e 10.61 kHz'\n", + "\n", + "# To calculate fc for RL high-pass filter\n", + "\n", + "fc1 = R/(2*pi*L)#\n", + "print 'The Cutoff Frequency for RL High-Pass Filter = %0.2f Hertz'%fc1\n", + "print 'approx 2.39 kHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 26_4 Page No. 827" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Cutoff Frequency for RC High-Pass filter = 159.15 Hertz\n", + "i.e 159 Hz\n", + "The Cutoff Frequency for RC High-Pass filter = 1591.55 Hertz\n", + "i.e 1.59 kHz\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate the cutoff frequencies fc1 and fc2.\n", + "\n", + "#Given data\n", + "\n", + "R1 = 1.*10**3# # Resistor 1=1 kOhms\n", + "C1 = 1.*10**-6# # Capacitor 1=1 uFarad\n", + "R2 = 100.*10**3# # Resistor 2=100 kOhms\n", + "C2 = 0.001*10**-6# # Capacitor 2=0.001 uFarad\n", + "\n", + "# To calculate fc1 for RC high-pass filter\n", + "\n", + "fc1 = 1/(2*pi*R1*C1)#\n", + "print 'The Cutoff Frequency for RC High-Pass filter = %0.2f Hertz'%fc1\n", + "print 'i.e 159 Hz'\n", + "\n", + "# To calculate fc2 for RC high-pass filter\n", + "\n", + "fc2 = 1/(2*pi*R2*C2)#\n", + "print 'The Cutoff Frequency for RC High-Pass filter = %0.2f Hertz'%fc2\n", + "print 'i.e 1.59 kHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 26_5 Page No. 828" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Notch Frequency for RC Low-Pass filter = 7957.75 Hertz\n", + "i.e 7.96 kHz\n", + "The Required Value of 2R1 = 2000.00 Ohms\n", + "i.e 2 kohms\n", + "The Required Value of 2C1 = 2.00e-08 Ohms\n", + "0.02 uF\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate the notch frequency fn if R1 is 1 kOhms\u0004 and C1 is\u0005 0.01 \u0002uF. Also, calculate the required values for 2R1 and 2C1 in the low-pass filter.\n", + "\n", + "# Given data\n", + "\n", + "R1 = 1.*10**3# # Resistor 1=1 kOhms\n", + "C1 = 0.01*10**-6# # Capacitor 1=0.01 uFarad\n", + "\n", + "# To calculate Notch frequency fn for RC low-pass filter\n", + "\n", + "fn = 1/(4*pi*R1*C1)#\n", + "print 'The Notch Frequency for RC Low-Pass filter = %0.2f Hertz'%fn\n", + "print 'i.e 7.96 kHz'\n", + "\n", + "A = 2*R1#\n", + "print 'The Required Value of 2R1 = %0.2f Ohms'%A\n", + "print 'i.e 2 kohms'\n", + "\n", + "B = 2*C1#\n", + "print 'The Required Value of 2C1 = %0.2e Ohms'%B\n", + "print '0.02 uF'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 26_6 Page No. 829" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Power Gain of Amplifier = 20.00 dB\n" + ] + } + ], + "source": [ + "from math import log10\n", + "# A certain amplifier has an input power of 1 W and an output power of 100 W.Calculate the dB power gain of the amplifier.\n", + "\n", + "# Given data\n", + "\n", + "Pi = 1.# # Input power=1 Watts\n", + "Po = 100.# # Output power=100 Watts\n", + "\n", + "N = 10*log10(Po/Pi)#\n", + "print 'The Power Gain of Amplifier = %0.2f dB'%N" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 26_7 Page No. 830" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Attenuation offered by the Filter = -13.01 dB\n" + ] + } + ], + "source": [ + "from math import log10\n", + "# The input power to a filter is 100 mW, and the output power is 5 mW. Calculate the attenuation, in decibels, offered by the filter.\n", + "\n", + "# Given data\n", + "\n", + "Pi = 100.*10**-3# # Input power=1 Watts\n", + "Po = 5.*10**-3# # Output power=100 Watts\n", + "\n", + "N = 10*log10(Po/Pi)#\n", + "print 'The Attenuation offered by the Filter = %0.2f dB'%N" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 26_8 Page No. 832" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Attenuation at 0 Hz = 0 dB\n", + "The Attenuation at 1.592 kHz = -3.01 dB\n", + "The Attenuation at 15.92 kHz = -20.05 dB\n" + ] + } + ], + "source": [ + "from math import pi,log10,sqrt\n", + "# Calculate the attenuation, in decibels, at the following frequencies: (a) 0 Hz# (b) 1.592 kHz# (c) 15.92 kHz. (Assume that Vin is 10 V p-p at all frequencies.)\n", + "\n", + "# Given data\n", + "\n", + "f1 = 0# # Frequency 1=0 Hz\n", + "f2 = 1.592*10**3# # Frequency 2=1.592 kHz (cutoff frequency)\n", + "f3 = 15.92*10**3# # Frequency 3=15.92 kHz\n", + "Vi = 10.# # Voltage input=10 Volts(p-p)\n", + "R = 10.*10**3# # Resistor 1=10 kOhms\n", + "C = 0.01*10**-6# # Capacitor 1=0.01 uFarad \n", + "\n", + "Vo1 = Vi#\n", + "Vo2 = 0.707*Vi#\n", + "\n", + "# At 0 Hz\n", + "\n", + "N1 = 20*log10(Vo1/Vi)#\n", + "print 'The Attenuation at 0 Hz = %0.f dB'%N1\n", + "\n", + "#At 1.592 kHz (cutoff frequency)\n", + "\n", + "N2 = 20*log10(Vo2/Vi)#\n", + "print 'The Attenuation at 1.592 kHz = %0.2f dB'%N2\n", + "\n", + "# At 15.92 kHz\n", + "\n", + "Xc = 1./(2*pi*f3*C)#\n", + "\n", + "A = R*R#\n", + "B = Xc*Xc#\n", + "\n", + "Zt = sqrt (A+B)#\n", + "\n", + "N3 = 20*log10(Xc/Zt)#\n", + "print 'The Attenuation at 15.92 kHz = %0.2f dB'%N3" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter27.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter27.ipynb new file mode 100755 index 00000000..77d3bb82 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter27.ipynb @@ -0,0 +1,712 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 27 : Diodes and Diodes Applications" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_1 Page No. 864" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Forward Resistance at Point A = 59.09 Ohms\n", + "Approx 59.1 Ohms\n", + "The Forward Resistance at Point B = 31.11 Ohms\n" + ] + } + ], + "source": [ + "# For the diode curve, calculate the dc resistance, RF, at points A and B.\n", + "\n", + "# Given data\n", + "\n", + "Vf1 = 0.65# # Forward votage 1=0.65 Volts\n", + "If1 = 11*10**-3 # Forward current 1=11 mAmps\n", + "Vf2 = 0.7# # Forward votage 2=0.7 Volts\n", + "If2 = 22.5*10**-3 # Forward current 2=22.5 mAmps\n", + "\n", + "Rf1 = Vf1/If1#\n", + "print 'The Forward Resistance at Point A = %0.2f Ohms'%Rf1\n", + "print 'Approx 59.1 Ohms'\n", + "\n", + "Rf2 = Vf2/If2#\n", + "print 'The Forward Resistance at Point B = %0.2f Ohms'%Rf2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_2 Page No. 865" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Bulk Resistance = 0.40 Ohms\n" + ] + } + ], + "source": [ + "# A silicon diode has a forward voltage drop of 1.1 V for a forward diode current, If, of 1 A. Calculate the bulk resistance, Rb.\n", + "\n", + "# Given data\n", + "\n", + "Vf1 = 1.1# # Forward votage 1=1.1 Volts\n", + "If1 = 1. # Forward current 1=1 Amps\n", + "Vf2 = 0.7# # Fwd. vltg. 2=0.7 Volts (min working vltg of diode is 0.7 V)\n", + "If2 = 0 # Forward current=0 Amps\n", + "\n", + "delV = Vf1-Vf2# # diff. between max. min. Voltages\n", + "delI = If1-If2# # diff. between max. min. Currents\n", + "\n", + "Rb = delV/delI#\n", + "print 'The Bulk Resistance = %0.2f Ohms'%Rb" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_3 Page No. 868" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Load Voltage of First Approximation = 10.00 Volts(dc)\n", + "The Load Current of First Approximation = 0.10 Amps\n", + "i.e 100 mAmps\n", + "The Load Voltage of Second Approximation = 9.30 Volts\n", + "The Load Current of Second Approximation = 0.09 Amps\n", + "i.e 93 mAmps\n", + "The Load Current of Third Approximation = 0.09 Amps\n", + "i.e 90.73 mAmps\n", + "The Load Voltage of Third Approximation 9.07 Volts\n" + ] + } + ], + "source": [ + "# Solve for the load voltage and current using the first, second, and third diode approximations.\n", + "\n", + "# Given data\n", + "\n", + "Rl = 100.# # Load resistance=100 Ohms\n", + "Rb = 2.5# # Resistance=2.5 Ohms\n", + "Vin = 10.# # Input voltage=10 Volts\n", + "Vb = 0.7# # Voltage=0.7 Volts\n", + "\n", + "\n", + "# Using first approximation\n", + "\n", + "Vl1 = Vin\n", + "print 'The Load Voltage of First Approximation = %0.2f Volts(dc)'%Vl1\n", + "\n", + "Il1 = Vl1/Rl#\n", + "print 'The Load Current of First Approximation = %0.2f Amps'%Il1\n", + "print 'i.e 100 mAmps'\n", + "\n", + "# Using second approximation\n", + "\n", + "Vl2 = Vin-Vb\n", + "print 'The Load Voltage of Second Approximation = %0.2f Volts'%Vl2\n", + "\n", + "Il2 = Vl2/Rl#\n", + "print 'The Load Current of Second Approximation = %0.2f Amps'%Il2\n", + "print 'i.e 93 mAmps'\n", + "\n", + "# Using third approximation\n", + "\n", + "Il3 = (Vin-Vb)/(Rl+Rb)#\n", + "print 'The Load Current of Third Approximation = %0.2f Amps'%Il3\n", + "print 'i.e 90.73 mAmps'\n", + "\n", + "Vl3 = Il3*Rl#\n", + "print 'The Load Voltage of Third Approximation %0.2f Volts'%Vl3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_4 Page No. 875" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Secondary Voltage = 40.00 Volts(ac)\n", + "The DC Voltage = 17.76 Volts\n", + "The Load Current = 0.18 Amps\n", + "The DC Diode Current = 0.18 Amps\n", + "The PIV for Diode-1 = 56.56 Volts\n", + "The Output Frequency = 60.00 Hertz\n" + ] + } + ], + "source": [ + "# If the turns ratio Np:Ns is 3:1, calculate the following: Vs, Vdc, Il, Idiode, PIV for D1, and fout.\n", + "\n", + "# Given data\n", + "\n", + "Vp = 120.# # Primary voltage=120 Vac\n", + "A = 3/1.# # Turns ratio Np:Ns=3:1\n", + "B = 1/3.# # Turns ratio Ns:Np=1:3\n", + "Rl = 100.# # Load resistance=100 Ohms\n", + "fi = 60.# # Input frequency=60\n", + "\n", + "Vs = B*Vp#\n", + "print 'The Secondary Voltage = %0.2f Volts(ac)'%Vs\n", + "\n", + "Vspk = (Vs*1.414)#\n", + "\n", + "C = Vspk-0.7#\n", + "\n", + "Vdc = 0.318*C#\n", + "print 'The DC Voltage = %0.2f Volts'%Vdc\n", + "\n", + "Il = Vdc/Rl#\n", + "print 'The Load Current = %0.2f Amps'%Il\n", + "\n", + "Idiode = Il#\n", + "print 'The DC Diode Current = %0.2f Amps'%Idiode\n", + "\n", + "PIV = Vspk#\n", + "print 'The PIV for Diode-1 = %0.2f Volts'%PIV\n", + "\n", + "fo =fi#\n", + "print 'The Output Frequency = %0.2f Hertz'%fo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_5 age No. 878" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The DC Voltage = 17.54 Volts\n", + "The Load Current = 0.18 Amps\n", + "i.e 175.4 mAmps\n", + "The DC Diode Current = 0.09 Amps\n", + "i.e 87.7 mAmps\n", + "The PIV for Diode-1 = 55.86 Volts\n", + "The Output Frequency = 120.00 Hertz\n" + ] + } + ], + "source": [ + "# If the turns ratio Np:Ns is\u0006 3:1, calculate the following: Vdc, Il, Idiode, PIV for D1, and fout.\n", + "\n", + "# Given data\n", + "\n", + "Vp = 120. # Primary voltage=120 Vac\n", + "A = 3/1. # Turns ratio Np:Ns = 3:1\n", + "B = 1/3. # Turns ratio Ns:Np = 1:3\n", + "Rl = 100. # Load resistance=100 Ohms\n", + "\n", + "Vs = B*Vp#\n", + "Vspk = 1.414*(Vs/2)#\n", + "Vopk = Vspk-0.7#\n", + "\n", + "Vdc = 0.636*Vopk#\n", + "print 'The DC Voltage = %0.2f Volts'%Vdc\n", + "\n", + "Il = Vdc/Rl#\n", + "print 'The Load Current = %0.2f Amps'%Il\n", + "print 'i.e 175.4 mAmps'\n", + "\n", + "Idiode = Il/2#\n", + "print 'The DC Diode Current = %0.2f Amps'%Idiode\n", + "print 'i.e 87.7 mAmps'\n", + "\n", + "C = (Vspk*2)-0.7#\n", + "\n", + "PIV = C#\n", + "print 'The PIV for Diode-1 = %0.2f Volts'%PIV\n", + "\n", + "f =120#\n", + "print 'The Output Frequency = %0.2f Hertz'%f" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_6 Page No. 880" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The DC Voltage = 35.08 Volts\n", + "The Load Current = 0.35 Amps\n", + "i.e 350.8 mAmps\n", + "The DC Diode Current = 0.1754 Amps\n", + "i.e 175.4 mAmps\n", + "The PIV for each Diode = 55.86 Volts\n", + "The Output Frequency = 120.00 Hertz\n" + ] + } + ], + "source": [ + "# If the turns ratio Np:Ns is\u0006 3:1, calculate the following: Vdc, Il, Idiode, PIV for each diode, and fout.\n", + "\n", + "# Given data\n", + "\n", + "Vp = 120.# # Primary voltage=120 Vac\n", + "A = 3./1# # Turns ratio Np:Ns = 3:1\n", + "B = 1./3# # Turns ratio Ns:Np = 1:3\n", + "Rl = 100.# # Load resistance=100 Ohms\n", + "\n", + "Vs = B*Vp#\n", + "Vspk = 1.414*(Vs)#\n", + "Vopk = Vspk-1.4#\n", + "\n", + "Vdc = 0.636*Vopk#\n", + "print 'The DC Voltage = %0.2f Volts'%Vdc\n", + "\n", + "Il = Vdc/Rl#\n", + "print 'The Load Current = %0.2f Amps'%Il\n", + "print 'i.e 350.8 mAmps'\n", + "\n", + "Idiode = Il/2#\n", + "print 'The DC Diode Current = %0.4f Amps'%Idiode\n", + "print 'i.e 175.4 mAmps'\n", + "\n", + "C = Vspk-0.7#\n", + "\n", + "PIV = C#\n", + "print 'The PIV for each Diode = %0.2f Volts'%PIV\n", + "\n", + "f =120#\n", + "print 'The Output Frequency = %0.2f Hertz'%f" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_7 Page No. 883" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Ripple Voltage for Turns Ratio Np:Ns=4:1 = 5.21 Volts(p-p)\n", + "Approx 5.21 Volts(p-p)\n", + "The DC Voltage for Turns Ratio Np:Ns=4:1 = 39.12 Volts\n", + "Approx 39.12 Volts\n", + "The Ripple Voltage for Turns Ratio Np:Ns=2:1 = 2.69 Volts(p-p)\n", + "Approx 2.69 Volts(p-p)\n", + "The DC Voltage for Turns Ratio Np:Ns=2:1 = 40.38 Volts\n", + "Approx 40.38 Volts\n" + ] + } + ], + "source": [ + "from math import exp\n", + "# Assume the transformer turns ratio Np:Ns = 4:1 in Fig. 27–21 a and 2:1 in Fig. 27–22a. Compare Vripple and Vdc if C =\u0006 500 uF and Rl =\u0006 250\u0007.\n", + " \n", + "# Given data\n", + "\n", + "A1 = 4./1# # Turns ratio Np:Ns=4:1\n", + "B1 = 1./4# # Turns ratio Ns:Np=1:4\n", + "A2 = 2./1# # Turns ratio Np:Ns=2:1\n", + "B2 = 1./2# # Turns ratio Ns:Np=1:2\n", + "Vp = 120.# # Primary voltage=120 Vac\n", + "Vb = 0.7# # \n", + "t1 = 16.67*10**-3# # Charging Time of Capacitor of Turns ratio Np:Ns=4:1=16.67 mSec\n", + "t2 = 8.33*10**-3# # Charging Time of Capacitor of Turns ratio Np:Ns=4:1=8.33 mSec\n", + "Rl = 250.# # Load resistance=250 Ohms\n", + "C = 500.*10**-6# # Capacitor=500 uFarad\n", + "\n", + "# Calculations for Turns Ratio Np:Ns=4:1\n", + "\n", + "Vs1 = B1*Vp#\n", + "Vspk1 = Vs1*1.414#\n", + "Vopk1 = Vspk1 - Vb#\n", + "D = -t1/(Rl*C)#\n", + "\n", + "Vrp1 = Vopk1*(1-exp(D))#\n", + "print 'The Ripple Voltage for Turns Ratio Np:Ns=4:1 = %0.2f Volts(p-p)'%Vrp1\n", + "print 'Approx 5.21 Volts(p-p)'\n", + "\n", + "Vdc1 = Vopk1-(Vrp1/2)#\n", + "print 'The DC Voltage for Turns Ratio Np:Ns=4:1 = %0.2f Volts'%Vdc1\n", + "print 'Approx 39.12 Volts'\n", + "\n", + "# Calculations for Turns Ratio Np:Ns = 2:1\n", + "\n", + "Vs2 = B2*Vp#\n", + "V2 = Vs2/2#\n", + "V2pk2 = V2*1.414\n", + "Vopk2 = V2pk2 - Vb#\n", + "E = -t2/(Rl*C)#\n", + "\n", + "Vrp2 = Vopk2*(1-(exp(E)))\n", + "print 'The Ripple Voltage for Turns Ratio Np:Ns=2:1 = %0.2f Volts(p-p)'%Vrp2\n", + "print 'Approx 2.69 Volts(p-p)'\n", + "\n", + "Vdc2 = Vopk2-(Vrp2/2)#\n", + "print 'The DC Voltage for Turns Ratio Np:Ns=2:1 = %0.2f Volts'%Vdc2\n", + "print 'Approx 40.38 Volts'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_8 Page No. 885" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The LED Current = 0.01 Amps\n", + "i.e 10 mAmps\n" + ] + } + ], + "source": [ + "# Calculate the LED current.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 24.# # Input voltage=24 Volts\n", + "Vled = 2.# # Voltage drop at LED=2 Volts\n", + "Rs = 2.2*10**3# # Source Resistance=2.2 kOhms\n", + "\n", + "Iled = (Vin-Vled)/Rs#\n", + "print 'The LED Current = %0.2f Amps'%Iled\n", + "print 'i.e 10 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_9 Page No. 888" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance Rs, Required to Provide an LED Current of 25 mA = 880.00 Ohms\n" + ] + } + ], + "source": [ + "# Calculate the resistance Rs, required to provide an LED current of 25 mA.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 24.# # Input voltage=24 Volts\n", + "Vled = 2.# # Voltage drop at LED=2 Volts\n", + "Iled = 25.*10**-3# # LED Current=25 mAmps\n", + "\n", + "Rs = (Vin-Vled)/Iled#\n", + "print 'The Resistance Rs, Required to Provide an LED Current of 25 mA = %0.2f Ohms'%Rs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_10 Page No. 889" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Maximum Rated Current of Zener = 0.10 Amps\n", + "i.e 100 mAmps\n" + ] + } + ], + "source": [ + "# Calculate the maximum rated zener current for a 1 W, 10 V zener.\n", + "\n", + "# Given data\n", + "\n", + "Pzm = 1.# # Power rating of zener= 1 Watts\n", + "Vz = 10.# # Voltage rating of zener= 10 Volts\n", + "\n", + "Izm = Pzm/Vz#\n", + "print 'The Maximum Rated Current of Zener = %0.2f Amps'%Izm\n", + "print 'i.e 100 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_11 Page No. 890" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Zener Current = 0.01 Amps\n", + "i.e 15 mAmps\n" + ] + } + ], + "source": [ + "# If Vz=10 V, calculate Iz.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 25.# # Input voltage=25 Volts\n", + "Vz = 10.# # Zener voltage=10 Volts\n", + "Rs = 1.*10**3# # Source Resistance=1 kOhms\n", + "\n", + "Iz = (Vin-Vz)/Rs#\n", + "print 'The Zener Current = %0.2f Amps'%Iz\n", + "print 'i.e 15 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_12 Page No. 891" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Source Current = 0.075 Amps\n", + "i.e 75 mAmps\n", + "The Load Current = 0.03 Amps\n", + "i.e 30 mAmps\n", + "The Zener Current = 0.045 Amps\n", + "i.e 45 mAmps\n", + "The Power Dissipation of Zener = 0.3375 Watts\n", + "i.e 337.5 mWatts\n" + ] + } + ], + "source": [ + "# If R L increases to 250 Ohms, calculate the following: Is, Il, Iz, and Pz.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 25# # Input voltage=25 Volts\n", + "Vz = 7.5# # Zener voltage=7.5 Volts\n", + "Rl = 250# # Load Resistance=250 Ohms\n", + "Is = 75*10**-3# # Source current=75 mAmps\n", + "\n", + "print 'The Source Current = %0.3f Amps'%Is\n", + "print 'i.e 75 mAmps'\n", + "\n", + "Il = Vz/Rl#\n", + "print 'The Load Current = %0.2f Amps'%Il\n", + "print 'i.e 30 mAmps'\n", + "\n", + "Iz = Is-Il#\n", + "print 'The Zener Current = %0.3f Amps'%Iz\n", + "print 'i.e 45 mAmps'\n", + "\n", + "Pz = Vz*Iz#\n", + "print 'The Power Dissipation of Zener = %0.4f Watts'%Pz\n", + "print 'i.e 337.5 mWatts'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 27_13 Page No. 892" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Source Current = 0.06 Amps.\n", + "i.e 60 mAmps\n", + "The Load Current for 200 ohms Load = 0.05 Amps.\n", + "i.e 50 mAmps\n", + "The Zener Current for 200 ohms Load = 0.01 Amps.\n", + "i.e 10 mAmps\n", + "The Load Current for 500 ohms Load = 0.02 Amps.\n", + "i.e 20 mAmps\n", + "The Zener Current for 500 ohms load = 0.04 Amps.\n", + "i.e 40 mAmps\n" + ] + } + ], + "source": [ + "# Calculate Is, Il and Iz for (a)Rl=200 ohms# (b)Rl=500 ohms.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 16.# # Vin=16 Volts given\n", + "Vz = 10.# # Vz=10 Volts given\n", + "Rs = 100.# # Source Resistance = 100 ohms given\n", + "Rla = 200.# # Load Resistance A = 200 ohms given\n", + "Rlb = 500.# #Load Resistance B = 500 ohms given\n", + "\n", + "# For Rl 200 ohms\n", + "\n", + "Is = (Vin-Vz)/Rs#\n", + "print 'The Source Current = %0.2f Amps.'%Is\n", + "print 'i.e 60 mAmps'\n", + "\n", + "Ila = Vz/Rla#\n", + "print 'The Load Current for 200 ohms Load = %0.2f Amps.'%Ila\n", + "print 'i.e 50 mAmps'\n", + "\n", + "Iza = Is-Ila\n", + "print 'The Zener Current for 200 ohms Load = %0.2f Amps.'%Iza\n", + "print 'i.e 10 mAmps'\n", + "\n", + "# For Rl 500 ohms\n", + "\n", + "Ilb = Vz/Rlb#\n", + "print 'The Load Current for 500 ohms Load = %0.2f Amps.'%Ilb\n", + "print 'i.e 20 mAmps'\n", + "\n", + "Izb = Is-Ilb\n", + "print 'The Zener Current for 500 ohms load = %0.2f Amps.'%Izb\n", + "print 'i.e 40 mAmps'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter28.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter28.ipynb new file mode 100755 index 00000000..67d92401 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter28.ipynb @@ -0,0 +1,723 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 28 : Bipolar Junction Transistors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_1 Page No. 910" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Emitter Current Ie = 5.00 Amps\n" + ] + } + ], + "source": [ + "# A transistor has the following currents: Ib is\u0002 20 mA and Ic is 4.98 A. Calculate Ie.\n", + "\n", + "# Given data\n", + "\n", + "Ib = 20*10**-3# # Base current=20 mAmps\n", + "Ic = 4.98# # Collector current=4.98 Amps\n", + "\n", + "Ie = Ic+Ib#\n", + "print 'The Emitter Current Ie = %0.2f Amps'%Ie" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_2 Page No. 912" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Collector Current Ic = 0.09804 Amps\n", + "i.e 98.04 mAmps\n" + ] + } + ], + "source": [ + "# A transistor has the following currents: Ie is\u0002 100 mA, Ib is\u0002 1.96 mA. Calculate Ic.\n", + "\n", + "# Given data\n", + "\n", + "Ie = 100.0*10**-3# # Emitter current=100 mAmps\n", + "Ib = 1.96*10**-3# # Base current=4.98 Amps\n", + "\n", + "Ic = Ie-Ib#\n", + "print 'The Collector Current Ic = %0.5f Amps'%Ic\n", + "print 'i.e 98.04 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_3 Page No. 913" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Base Current Ib = 0.0010 Amps\n", + "i.e 1 mAmps\n" + ] + } + ], + "source": [ + "# A transistor has the following currents: Ie is\u0002 50 mA, Ic is\u0002 49 mA. Calculate Ib.\n", + "\n", + "# Given data\n", + "\n", + "Ie = 50.0*10**-3# # Emitter current=50 mAmps\n", + "Ic = 49.0*10**-3# # Collector current=20 mAmps\n", + "\n", + "Ib = Ie-Ic#\n", + "print 'The Base Current Ib = %0.4f Amps'%Ib\n", + "print 'i.e 1 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_4 Page No. 914" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Alpha(dc) = 0.9960\n" + ] + } + ], + "source": [ + "# A transistor has the following currents: Ie is\u0002 15 mA, Ib is\u0002 60 u\u0004A. Calculate \u0002Alpha(dc).\n", + "\n", + "# Given data\n", + "\n", + "Ie = 15.*10**-3# # Emitter current=15 mAmps\n", + "Ib = 60.*10**-6# # Base current=60 uAmps\n", + "\n", + "Ic = Ie-Ib#\n", + "\n", + "Adc = Ic/Ie#\n", + "print 'The Value of Alpha(dc) = %0.4f'%Adc" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_5 Page No. 916" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Beta(dc) = 200\n" + ] + } + ], + "source": [ + "# A transistor has the following currents: Ic is\u0002 10 mA and Ib is 50 uA. Calculate Beta(dc).\n", + "\n", + "# Given data\n", + "\n", + "Ic = 10.*10**-3# # Collector current=10 mAmps\n", + "Ib = 50.*10**-6# # Base current=50 uAmps\n", + "\n", + "Bdc = Ic/Ib#\n", + "print 'The Value of Beta(dc) = %0.f'%Bdc" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_6 Page No. 918" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Collector Current Ic = 0.01125 Amps\n", + "i.e 11.25 mAmps\n" + ] + } + ], + "source": [ + "# A transistor has Beta(dc) of 150 and Ib of 75 uAmps. Calculate Ic.\n", + "\n", + "# Given data\n", + "\n", + "Bdc = 150.# # Beta(dc)=150\n", + "Ib = 75.*10**-6# # Base current=75 uAmps\n", + "\n", + "Ic = Bdc*Ib#\n", + "print 'The Collector Current Ic = %0.5f Amps'%Ic\n", + "print 'i.e 11.25 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_7 Page No. 920" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Alpha(dc) = 0.9901\n" + ] + } + ], + "source": [ + "# A transistor has Beta(dc) of 100. Calculate Alpha(dc).\n", + "\n", + "# Given data\n", + "\n", + "Bdc = 100.0# # Beta(dc)=100\n", + "\n", + "Adc = Bdc/(1+Bdc)#\n", + "print 'The Value of Alpha(dc) = %0.4f'%Adc" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_8 Page No. 922" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Beta(dc) =199.00\n" + ] + } + ], + "source": [ + "# A transistor has Alpha(dc) of 0.995. Calculate Beta(dc).\n", + "\n", + "# Given data\n", + "\n", + "Adc = 0.995# # Alpha(dc)=100\n", + "\n", + "Bdc = Adc/(1-Adc)#\n", + "print 'The Value of Beta(dc) =%0.2f'%Bdc" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_9 Page No. 922" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Power Dissipation = 0.05 Watts\n", + "i.e 50 mWatts\n" + ] + } + ], + "source": [ + "# Calculate Pd if Vcc is 10 V and Ib is 50 uAmps. Assume Beta(dc) is 100.\n", + "\n", + "# Given data\n", + "\n", + "Bdc = 100.# # Beta(dc)=100\n", + "Ib = 50.*10**-6# # Base current=50 uAmps\n", + "Vcc = 10.# # Supply voltage=10 Volts\n", + "\n", + "Vce = Vcc\n", + "\n", + "Ic = Bdc*Ib#\n", + "\n", + "Pd = Vce*Ic#\n", + "print 'The Power Dissipation = %0.2f Watts'%Pd\n", + "print 'i.e 50 mWatts'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_10 Page No. 922" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Maximum Allowable Collector Current Ic(max) = 0.025 Amps\n", + "i.e 25 mAmps\n" + ] + } + ], + "source": [ + "# The transistor has a power rating of 0.5 W. If Vce is\u0002 20 V, calculate the maximum allowable collector current, Ic, that can exist without exceeding the transistor’s power rating.\n", + "\n", + "# Given data\n", + "\n", + "Pdmax = 0.5# # Power dissipation(max)=0.5 Watts\n", + "Vce = 20.# # Voltage (collector to emitter)=20 Volts\n", + "\n", + "Ic = Pdmax/Vce#\n", + "print 'The Maximum Allowable Collector Current Ic(max) = %0.3f Amps'%Ic\n", + "print 'i.e 25 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_11 Page No. 923" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Power Rating at 50°C = 0.28 Watts\n", + "i.e 280 mWatts\n" + ] + } + ], + "source": [ + "# Assume that a transistor has a power rating Pd(max) of 350 mW at an ambient temperature Ta of 25°C. The derating factor is 2.8 mW/°C. Calculate the power rating at 50°C.\n", + "\n", + "# Given data\n", + "\n", + "f = 2.8*10**-3# # Derating factor=2.8 mW/°C\n", + "Pd = 350.*10**-3# # Power dissipation(max)=350 mWatts\n", + "Ta = 25.# # Ambient Temperature=25°C\n", + "Tp = 50.# # Power rating at 50°C\n", + "\n", + "delT = Tp-Ta# # Difference between max and min temp\n", + "\n", + "delPd = delT*f#\n", + "\n", + "Prat = Pd-delPd#\n", + "print 'The Power Rating at 50°C = %0.2f Watts'%Prat\n", + "print 'i.e 280 mWatts'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_12 Page No. 923" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Base Current = 0.0000 Amps.\n", + "Approx 28.97 mAmps\n", + "The Collector Current = 0.0043 Amps\n", + "Approx 4.35 mAmps\n", + "The Voltage Collector-Emitter = 5.48 Volts\n", + "Q(5.480769,0.004346)\n", + "\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "from matplotlib.pyplot import plot,xlabel,ylabel,show,title\n", + "# Solve for Ib, Ic, Vce. Also, Construct a dc load line showing the valuse of Ic(sat), Vce(off), Icq, Vceq.\n", + "\n", + "# Given data\n", + "Vcc = 12.# # Supply voltage=12 Volts\n", + "Vbe = 0.7# # Base-Emitter Voltage=0.7 Volts\n", + "Rb = 390.*10**3# # Base Resistor=390K Ohms\n", + "Rc = 1.5*10**3# # Collector Resistor=1.5K Ohms\n", + "B = 150.# # Beta(dc)=150\n", + "\n", + "Ib = (Vcc-Vbe)/Rb#\n", + "print 'The Base Current = %0.4f Amps.'%Ib\n", + "print 'Approx 28.97 mAmps'\n", + "\n", + "Icq = B*Ib#\n", + "print 'The Collector Current = %0.4f Amps'%Icq\n", + "print 'Approx 4.35 mAmps'\n", + "\n", + "Vceq = Vcc-(Icq*Rc)#\n", + "print 'The Voltage Collector-Emitter = %0.2f Volts'%Vceq\n", + "\n", + "# For DC load line\n", + "\n", + "Icsat = (Vcc/Rc)#\n", + "Vceoff = Vcc#\n", + "\n", + "Vce1=[Vceoff, Vceq ,0]\n", + "Ic1=[0 ,Icq ,Icsat]\n", + "\n", + "#To plot DC load line\n", + "\n", + "print \"Q(%f,%f)\\n\"%(Vceq,Icq)\n", + "plot(Vce1, Ic1)\n", + "plot(Vceq,Icq)\n", + "plot(0,Icq)\n", + "plot(Vceq,0)\n", + "plot(0,Icsat)\n", + "plot(Vceoff,0)\n", + "xlabel(\"Vce in volt\")\n", + "ylabel(\"Ic in Ampere\")\n", + "title(\"DC Load-line for Base-Biased Transistor Circuit\")\n", + "show() " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_13 Page No. 924" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Base Voltage = 2.61 Volts\n", + "The Emmiter Voltage = 1.91 Volts\n", + "The Collector Voltage = 10.65 Volts\n", + "Approx 10.65 Volts\n", + "The Collector-Emitter Voltage = 8.74 Volts\n", + "Approx 8.74 Volts\n", + "The Current Ic(sat) = 0.01 Amps\n", + "i.e 9.52 mAmps\n", + "The Voltage Vce(off) = 18.00 Volts\n", + "Q(8.737067,0.004901)\n", + "\n" + ] + }, + { + "data": { + "image/png": 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jH4NmhI5Xk9KWmcTWITH6Ap+lFFVVZBKh/T3x758qWtCrMf5LXbx+/etfJx6DYiqsuBST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\naodyIlIXli+Hs86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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "from matplotlib.pyplot import plot,xlabel,ylabel,show,title\n", + "\n", + "# Solve for Vb, Ve, Ic, Vc, and Vce. Also, calculate Ic(sat) and Vce(off). Finally, construct a dc load line showing the values of Ic(sat), Vce(off), Icq, and Vceq.\n", + "\n", + "# Given data\n", + "\n", + "R1 = 33.*10**3# # Resistor 1=33 kOhms\n", + "R2 = 5.6*10**3# # Resistor 2=5.6 kOhms\n", + "Rc = 1.5*10**3# # Collector resistance=1.5 kOhms\n", + "Re = 390.# # Emitter resistance=390 Ohms\n", + "Bdc = 200.# # Beta(dc)= 200\n", + "Vcc = 18.# # Supply voltage = 18 Volts\n", + "Vbe = 0.7# # Base-Emmiter Voltage=0.7 Volts\n", + "\n", + "Vb = Vcc*(R2/(R1+R2))#\n", + "print 'The Base Voltage = %0.2f Volts'%Vb\n", + "\n", + "Ve = Vb-Vbe#\n", + "print 'The Emmiter Voltage = %0.2f Volts'%Ve\n", + "\n", + "Ie = Ve/Re# # Emitter current\n", + "\n", + "Ic = Ie#\n", + "\n", + "Vc = Vcc-(Ic*Rc)#\n", + "print 'The Collector Voltage = %0.2f Volts'%Vc\n", + "print 'Approx 10.65 Volts'\n", + "\n", + "Vce = Vcc-(Ic*(Rc+Re))#\n", + "print 'The Collector-Emitter Voltage = %0.2f Volts'%Vce\n", + "print 'Approx 8.74 Volts'\n", + "\n", + "Icsat = Vcc/(Rc+Re)#\n", + "print 'The Current Ic(sat) = %0.2f Amps'%Icsat\n", + "print 'i.e 9.52 mAmps'\n", + "\n", + "Vceoff = Vcc#\n", + "print 'The Voltage Vce(off) = %0.2f Volts'%Vceoff\n", + "\n", + "Icq = Ic\n", + "Vceq = Vce\n", + "\n", + "Vce1=[Vcc, Vceq, 0]\n", + "Ic1=[0, Icq, Icsat]\n", + "\n", + "#To plot DC load line\n", + "\n", + "print \"Q(%f,%f)\\n\"%(Vceq,Icq)\n", + "plot(Vce1, Ic1)\n", + "plot(Vceq,Icq)\n", + "plot(0,Icq)\n", + "plot(Vceq,0)\n", + "plot(0,Icsat)\n", + "plot(Vceoff,0)\n", + "xlabel(\"Vce in Volt\")\n", + "ylabel(\"Ic in mAmps\")\n", + "title(\"DC Load-line for Voltage Divider-Biased Transistor Circuit\")\n", + "show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_14 Page No. 925" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Base Voltage = -1.90 Volts\n", + "Approx -1.9 Volts\n", + "The Emitter Voltage = -1.20 Volts\n", + "Approx -1.2 Volts\n", + "The Collector Current = 0.00 Amps\n", + "Approx 2.4 mAmps\n", + "The Collector Voltage = -7.21 Volts\n", + "The Collector-Emitter Voltage = -6.01 Volts\n" + ] + } + ], + "source": [ + "# For the pnp transistor, solve for Vb, Ve, Ic, Vc, and Vce.\n", + "\n", + "# Given data\n", + "\n", + "R1 = 33.*10**3# # Resistor1=33 kOhms\n", + "R2 = 6.2*10**3# # Resistor2=6.2 kOhms\n", + "Rc = 2.*10**3# # Collector resistance=2 kOhms\n", + "Re = 500.# # Emitter resistance=500 Ohms\n", + "Vcc = 12.# # Supply voltage=12 Volts\n", + "Vbe = 0.7# # Base-Emmiter Voltage=0.7 Volts\n", + "\n", + "\n", + "Vb = -Vcc*(R2/(R1+R2))#\n", + "print 'The Base Voltage = %0.2f Volts'%Vb\n", + "print 'Approx -1.9 Volts'\n", + "\n", + "Ve = Vb-(-Vbe)#\n", + "print 'The Emitter Voltage = %0.2f Volts'%Ve\n", + "print 'Approx -1.2 Volts'\n", + "\n", + "Ic = -(Ve/Re)# # Ic =~ Ie\n", + "print 'The Collector Current = %0.2f Amps'%Ic\n", + "print 'Approx 2.4 mAmps'\n", + "\n", + "Vc = -Vcc+(Ic*Rc)\n", + "print 'The Collector Voltage = %0.2f Volts'%Vc\n", + "\n", + "Vce = -Vcc+(Ic*(Rc+Re))#\n", + "print 'The Collector-Emitter Voltage = %0.2f Volts'%Vce" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 28_15 Page No. 926" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Emitter current = 0.0053 Amps\n", + "i.e 5.3 mAmps\n", + "The Collector voltage = 7.05 Volts\n" + ] + } + ], + "source": [ + "# Calculate Ie and Vc\n", + "\n", + "# Given data\n", + "\n", + "Vee = 6.# # Supply voltage at emitter=6 Volts\n", + "Vcc = 15.# # Supply voltage at collector=15 Volts\n", + "Vbe = 0.7# # Base-Emmiter Voltage=0.7 Volts\n", + "Rc = 1.5*10**3# # Collector resistance=1.5 kOhms\n", + "Re = 1.*10**3# # Emitter resistance=1 kOhms\n", + "\n", + "Ie = (Vee-Vbe)/Re#\n", + "print 'The Emitter current = %0.4f Amps'%Ie\n", + "print 'i.e 5.3 mAmps'\n", + "\n", + "Ic = Ie# # Ic =~ Ie\n", + "\n", + "Vc = Vcc-Ic*Rc#\n", + "print 'The Collector voltage = %0.2f Volts'%Vc" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter29.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter29.ipynb new file mode 100755 index 00000000..040d35f9 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter29.ipynb @@ -0,0 +1,595 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 29 : Transistor Amplifiers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_1 Page No. 940" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Ac Resistance with R=10 kOhms = 26.88 Ohms\n", + "The Ac Resistance with R=5 kOhms = 13.44 Ohms\n", + "The Ac Resistance with R=1 kOhms = 2.69 Ohms\n", + "Approx 2.69 Ohms\n" + ] + } + ], + "source": [ + "# For the diode circuit, calculate the ac resistance, rac, for the following values of R: (a) 10 kOhms, (b) 5 kOhms, and (c) 1 kOhms. Use the second approximation of a diode.\n", + "\n", + "# Given data\n", + "\n", + "R1 = 10.*10**3# # Resistance 1=10 kOhms\n", + "R2 = 5.*10**3# # Resistance 2=5 kOhms\n", + "R3 = 1.*10**3# # Resistance 3=1 kOhms\n", + "Vdc = 10.# # DC supply=10 Volts\n", + "V = 0.7# # Starting voltage of diode=0.7 Volts\n", + "A = 25.*10**-3# # Constant\n", + "\n", + "# For R=10 kOhms\n", + "\n", + "Id1 = (Vdc-V)/R1#\n", + "\n", + "rac1 = A/Id1#\n", + "print 'The Ac Resistance with R=10 kOhms = %0.2f Ohms'%rac1\n", + "\n", + "# For R=5 kOhms\n", + "\n", + "Id2 = (Vdc-V)/R2#\n", + "\n", + "rac2 = A/Id2#\n", + "print 'The Ac Resistance with R=5 kOhms = %0.2f Ohms'%rac2\n", + "\n", + "# For R=1 kOhms\n", + "\n", + "Id3 = (Vdc-V)/R3#\n", + "\n", + "rac3 = A/Id3#\n", + "print 'The Ac Resistance with R=1 kOhms = %0.2f Ohms'%rac3\n", + "print 'Approx 2.69 Ohms'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_2 Page No. 941" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Gain Av =200.00\n" + ] + } + ], + "source": [ + "#A common-emitter amplifier circuit has an input of 25 mVp-p and an output of 5 Vp-p. Calculate Av.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 25*10**-3# # Input voltage=25 mVolts(p-p)\n", + "Vo = 5# # Output voltage=5 Volts(p-p).\n", + "\n", + "Av = Vo/Vin#\n", + "print 'The Voltage Gain Av =%0.2f'%Av" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_3 Page No. 942" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output Voltage = 1.50 Volts(p-p)\n" + ] + } + ], + "source": [ + "# assume Av still equals 300. If vin is\u0003 5 mVp-p, calculate Vout.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 5*10**-3# # Input voltage=5 mVolts(p-p)\n", + "Av = 300# # Voltage gain=300\n", + "\n", + "Vo = Av*Vin#\n", + "print 'The Output Voltage = %.2f Volts(p-p)'%Vo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_4 Page No. 948" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Gain Av =89.96\n", + "Approx 90\n" + ] + } + ], + "source": [ + "# Assume that re varies from 3.33 Ohms to 6.67 Ohms as the temperature of the transistor changes. Calculate the variation in the voltage gain, Av.\n", + "\n", + "# Given data\n", + "\n", + "rl = 600# # Load resistance=600 Ohms\n", + "re = 6.67# # Internal emitter resistance=6.67 Ohms\n", + "\n", + "Av = rl/re#\n", + "print 'The Voltage Gain Av =%0.2f'%Av\n", + "print 'Approx 90'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_5 Page No. 949" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Gain Av(max) when r`e=3.33 Ohms: 9.47\n", + "The Voltage Gain Av(min) when r`e=6.67 Ohms: 9.00\n" + ] + } + ], + "source": [ + "# Assume that r'e varies from 3.33 Ohms\u0003 to 6.67 Ohms. Calculate the minimum and maximum values for Av.\n", + "\n", + "# Given data\n", + "\n", + "rl = 600.# # Load resistance=600 Ohms\n", + "re1 = 3.33# # Internal emitter resistance=3.33 Ohms\n", + "re2 = 6.67# # Internal emitter resistance=6.67 Ohms\n", + "rE = 60.# # Emitter resistance=60 Ohms\n", + "\n", + "Av1 = rl/(re1+rE)#\n", + "print \"The Voltage Gain Av(max) when r`e=3.33 Ohms: %0.2f\"%Av1\n", + "\n", + "Av2 = rl/(re2+rE)#\n", + "print 'The Voltage Gain Av(min) when r`e=6.67 Ohms: %0.2f'%Av2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_6 Page No. 950" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Gain Av =0.996\n", + "i.e 996 mVolts(p-p)\n", + "The Output Voltage = 0.700 Volts(p-p)\n" + ] + } + ], + "source": [ + "# Find the exact value of Av. Also, find Vout.\n", + "\n", + "# Given data\n", + "\n", + "rl = 909.# # Load resistance=909 Ohms\n", + "re = 3.35# # Internal emitter resistance=3.35 Ohms\n", + "Vin = 1.# # Input voltage=1 Volts(p-p)\n", + "\n", + "Av = rl/(re+rl)#\n", + "print 'The Voltage Gain Av =%0.3f'%Av\n", + "print 'i.e 996 mVolts(p-p)'\n", + "Vo = Av*Vin#\n", + "print 'The Output Voltage = %0.3f Volts(p-p)'%V\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_7 Page No. 951" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Input impedence = 2485.72 Ohms\n", + "i.e 2.48 kOhms\n" + ] + } + ], + "source": [ + "# Calculate Zin.\n", + "\n", + "# Given data\n", + "\n", + "rl = 909.# # Load resistance=909 Ohms\n", + "re = 3.35# # Internal emitter resistance=3.35 Ohms\n", + "B = 100.# # Beta=100\n", + "R1 = 4.7*10**3# # Resistance1=4.7 kOhms\n", + "R2 = 5.6*10**3# # Resistance2=5.6 kOhms\n", + "\n", + "Zibase = B*(re+rl)#\n", + "A = (R1*R2)/(R1+R2)#\n", + "\n", + "Zin = (Zibase*A)/(A+Zibase)#\n", + "print 'The Input impedence = %0.2f Ohms'%Zin\n", + "print 'i.e 2.48 kOhms'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_8 Page No. 952" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Base Voltage = 9.00 Volts\n", + "The Emitter Voltage = 8.30 Volts\n", + "The Collector current = 0.01 Amps\n", + "i.e 5.53 mAmps\n", + "The Collector Voltage = 20.00 Volts\n", + "The Collector-Emmiter Voltage = 11.70 Volts\n", + "The AC emmiter resistance = 4.52 Ohms\n", + "Approx 4.52 Ohms\n", + "The Voltage gain =0.99\n", + "The Input Base Impedence = 120903.61 Ohms\n", + "i.e 120.9 kOhms\n", + "The Input Impedence = 9150.71 Ohms\n", + "i.e 9.15 kOhms\n", + "The AC base voltage = 4.69 Volts(p-p)\n", + "The AC output voltage = 4.66 Volts(p-p)\n", + "Q(11.700000,0.005533)\n", + "\n" + ] + }, + { + "data": { + "image/png": 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+/TV06hSu9S6ST9JJIs+Y2fUZLMDYGliZsL0qeiydffasomw7oLeZvWBm5WbW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\nQUREqlawy56IiEjuFdyM9XQ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "from matplotlib.pyplot import plot,xlabel,title,ylabel,show\n", + "# Calculate the following quantities: Vb, Ve, Ic, Vc, Vce, r'e, Zin(base), Zin, Av, vb, and vout. Also, plot the dc load line.\n", + "\n", + "# Given data\n", + "\n", + "R1 = 22.*10**3# # Resistance1=22 kOhms\n", + "R2 = 18.*10**3# # Resistance2=18 kOhms\n", + "Rg = 600.# # Generator resistance=600 Ohms\n", + "Re = 1.5*10**3# # Emitter resistance=1.5 kOhms\n", + "Rl = 1.*10**3# # Load resistance=1 kOhms\n", + "Vcc = 20.# # Supply Voltage=20 Volts\n", + "Vbe = 0.7# # Voltage Base-Emitter=0.7 Volts\n", + "B = 200.# # Beta=200\n", + "vin = 5.# # Input Voltage=5 Volts(p-p)\n", + "\n", + "# Calculate the DC quantities first:\n", + "\n", + "Vb = Vcc*(R2/(R1+R2))#\n", + "print 'The Base Voltage = %0.2f Volts'%Vb\n", + "\n", + "Ve = Vb-Vbe#\n", + "print 'The Emitter Voltage = %0.2f Volts'%Ve\n", + "\n", + "Ie = Ve/Re#\n", + "Ic = Ie# # Ic =~ Ie\n", + "print 'The Collector current = %0.2f Amps'%Ic\n", + "print 'i.e 5.53 mAmps'\n", + "\n", + "Vc = Vcc# # Since the collector is tied directly to Vcc\n", + "print 'The Collector Voltage = %0.2f Volts'%Vc\n", + "\n", + "Vce = Vcc-Ve#\n", + "print 'The Collector-Emmiter Voltage = %0.2f Volts'%Vce\n", + "\n", + "Icsat = Vcc/Re#\n", + "\n", + "Vceoff = Vcc#\n", + "\n", + "# Now, calculate AC quantities:\n", + "\n", + "a = 25.*10**-3#\n", + "\n", + "re = a/Ie#\n", + "print 'The AC emmiter resistance = %0.2f Ohms'%re\n", + "print 'Approx 4.52 Ohms'\n", + "\n", + "b = Re*Rl#\n", + "c = Re+Rl#\n", + "rl = b/c#\n", + "\n", + "Av = rl/(rl+re)#\n", + "print 'The Voltage gain =%0.2f'%Av\n", + "\n", + "Zinbase = B*(re+rl)#\n", + "print 'The Input Base Impedence = %0.2f Ohms'%Zinbase\n", + "print 'i.e 120.9 kOhms'\n", + "\n", + "d = 1./Zinbase#\n", + "e = 1./R1#\n", + "f = 1./R2#\n", + "\n", + "Zin = (d+e+f)**-1\n", + "print 'The Input Impedence = %0.2f Ohms'%Zin\n", + "print 'i.e 9.15 kOhms'\n", + "\n", + "vb = vin*(Zin/(Zin+Rg))#\n", + "print 'The AC base voltage = %0.2f Volts(p-p)'%vb\n", + "\n", + "vout = Av*vb#\n", + "print 'The AC output voltage = %0.2f Volts(p-p)'%vout\n", + "\n", + "Icq = Ic\n", + "Vceq = Vce\n", + "\n", + "Vce1=[Vcc, Vceq, 0]\n", + "Ic1=[0 ,Icq ,Icsat]\n", + "\n", + "#To plot DC load line\n", + "\n", + "print \"Q(%f,%f)\\n\"%(Vceq,Icq)\n", + "plot(Vce1, Ic1)\n", + "plot(Vceq,Icq)\n", + "plot(0,Icq)\n", + "plot(Vceq,0)\n", + "plot(0,Icsat)\n", + "plot(Vceoff,0)\n", + "xlabel(\"Vce in Volt\")\n", + "ylabel(\"Ic in mAmps\")\n", + "title(\"DC Load-line for Emitter Follower Circuit\")\n", + "show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_9 Page No. 963" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Emmiter current = 0.0046 Amps\n", + "i.e 4.61 mApms\n", + "The Collector-Base Voltage = 8.08 Volts\n", + "Approx 8.09 Volts\n", + "The AC emmiter resistance = 5.42 Ohms\n", + "The Voltage gain =138.33\n", + "The AC output voltage = 3.46 Volts(p-p)\n", + "Approx 3.46 Volts(p-p)\n", + "The Input Impedence = 5.41 Ohms\n" + ] + } + ], + "source": [ + "# Calculate the following: Ie, Vcb, r'\u0005e, Av, vout and zin.\n", + "\n", + "# Given data\n", + "\n", + "Rc = 1.5*10**3# # Collector resistance=1.5 kOhms\n", + "Re = 1.8*10**3# # Emitter resistance=1.8 kOhms\n", + "Rl = 1.5*10**3# # Load resistance=1.5 kOhms\n", + "Vcc = 15.# # +ve Supply Voltage=15 Volts\n", + "Vee = 9.# # -ve Supply Voltage=9 Volts\n", + "Vbe = 0.7# # Voltage Base-Emitter=0.7 Volts\n", + "vin = 25.*10**-3# # Input Voltage=25 mVolts(p-p)\n", + "\n", + "\n", + "Ie = (Vee-Vbe)/Re#\n", + "print 'The Emmiter current = %0.4f Amps'%Ie\n", + "print 'i.e 4.61 mApms'\n", + "\n", + "Ic = Ie# # Ic =~ Ie\n", + "\n", + "Vcb = Vcc-(Ic*Rc)#\n", + "print 'The Collector-Base Voltage = %0.2f Volts'%Vcb\n", + "print 'Approx 8.09 Volts'\n", + "\n", + "a = 25.*10**-3#\n", + "\n", + "re = a/Ie#\n", + "print 'The AC emmiter resistance = %0.2f Ohms'%re\n", + "\n", + "b = Rc*Rl#\n", + "c = Rc+Rl#\n", + "\n", + "rl = b/c#\n", + "\n", + "Av = rl/re#\n", + "print 'The Voltage gain =%0.2f'%Av\n", + "\n", + "vout = Av*vin#\n", + "print 'The AC output voltage = %0.2f Volts(p-p)'%vout\n", + "print 'Approx 3.46 Volts(p-p)'\n", + "\n", + "d = Re*re\n", + "e = Re+re\n", + "\n", + "Zin = d/e#\n", + "print 'The Input Impedence = %0.2f Ohms'%Zin" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 29_10 Page No. 968" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The AC output voltage = 1.45 Volts(p-p)\n" + ] + } + ], + "source": [ + "# Calculate the ac output voltage, vout.\n", + "\n", + "# Given data\n", + "\n", + "Rc = 1.2*10**3# # Collector resistance=1.2 kOhms\n", + "Re = 2.2*10**3# # Emitter resistance=2.2 kOhms\n", + "Rl = 3.3*10**3# # Load resistance=3.3 kOhms\n", + "Rg = 600.# # Generator Resistance=600 Ohms\n", + "Vcc = 12.# # +ve Supply Voltage=15 Volts\n", + "Vee = 12.# # -ve Supply Voltage=9 Volts\n", + "Vbe = 0.7# # Voltage Base-Emitter=0.7 Volts\n", + "vin = 1.# # Input Voltage=1 Volts(p-p)\n", + "\n", + "Ie = (Vee-Vbe)/Re#\n", + "\n", + "a = 25*10**-3#\n", + "re = a/Ie#\n", + "\n", + "b = Rc*Rl#\n", + "c = Rc+Rl#\n", + "rl = b/c#\n", + "\n", + "Av = rl/re#\n", + "\n", + "d = Re*re\n", + "e = Re+re\n", + "Zin = d/e#\n", + "\n", + "ve = vin*(Zin/(Zin+Rg))#\n", + "\n", + "vout = Av*ve#\n", + "print 'The AC output voltage = %0.2f Volts(p-p)'%vout" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter3.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter3.ipynb new file mode 100755 index 00000000..099cbe37 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter3.ipynb @@ -0,0 +1,636 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 3 : Ohm's Law" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_1 Page No. 88" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current I = 15.00 Amps\n" + ] + } + ], + "source": [ + "# A heater with the resistance of 8 Ohms\u0003 is connected across the 120-V power line. How much is current I?\n", + "\n", + "# Given data\n", + "\n", + "V = 120# # Voltage of Power line=120 Volts\n", + "R = 8# # Heater Resistance=8 Ohms\n", + "\n", + "I = V/R#\n", + "print 'The Current I = %0.2f Amps'%I" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_2 Page No. 88" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current I = 0.05 Amps\n" + ] + } + ], + "source": [ + "# A small lightbulb with a resistance of 2400 Ohms\u0003 is connected across the 120-V power line. How much is current I?\n", + "\n", + "# Given data\n", + "\n", + "V = 120.# # Voltage of Power line=120 Volts\n", + "R = 2400# # Lightbulb Resistance=2400 Ohms\n", + "\n", + "I = V/R#\n", + "print 'The Current I = %0.2f Amps'%I" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_3 Page No. 88" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage = 30.00 Volts\n" + ] + } + ], + "source": [ + "# If a 12-Ohms\u0003 resistor is carrying a current of 2.5 A, how much is its voltage?\n", + "\n", + "# Given data\n", + "\n", + "I = 2.5# # Current=2.5 Amps\n", + "R = 12# # Resistance=12 Ohms\n", + "\n", + "V = I*R#\n", + "print 'The Voltage = %0.2f Volts'%V" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_4 Page No. 89" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance = 75.00 ohms\n" + ] + } + ], + "source": [ + "# How much is the resistance of a lightbulb if it draws 0.16 A from a 12-V battery?\n", + "\n", + "# Given data\n", + "\n", + "V = 12# # Voltage of Battery=12 Volts\n", + "I = 0.16# # Current drawn form Battery=0.16 Amps\n", + "\n", + "R = V/I\n", + "print 'The Resistance = %0.2f ohms'%R" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_5 Page No. 89" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage = 40.00 Volts\n" + ] + } + ], + "source": [ + "# The I of 8 mA flows through a 5-kOhms Resistor. How much is the IR voltage?\n", + "\n", + "# Given data\n", + "\n", + "I = 8*10**-3# # Current flowing through Resistor=8m Amps\n", + "R = 5*10**3# # Resistance=5k Ohms\n", + "\n", + "V = I*R#\n", + "print 'The Voltage = %0.2f Volts'%V" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_6 Page No. 90" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current I = 0.005 Amps\n", + "i.e 5 mAmps\n" + ] + } + ], + "source": [ + "# How much current is produced by 60 V across 12 kOhms?\n", + "\n", + "# Given data\n", + "\n", + "V = 60.0# # Voltage=60 Volts\n", + "R = 12*10**3# # Resistance=12k Ohms\n", + "\n", + "I = V/R#\n", + "print 'The Current I = %0.3f Amps'%I\n", + "print 'i.e 5 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_7 Page No. 91" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Power used = 1200.00 Watts\n", + "OR 1.2 kW\n" + ] + } + ], + "source": [ + "# A toaster takes 10 A from the 120-V power line. How much power is used?\n", + "\n", + "# Given data\n", + "\n", + "V = 120# # Voltage of Power line=120 Volts\n", + "I = 10# # Current drawn from Powerline=10 Amps\n", + "\n", + "P = V*I#\n", + "print 'The Power used = %0.2f Watts'%P\n", + "print 'OR 1.2 kW'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_8 Page No. 91" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current I = 2.50 Amps\n" + ] + } + ], + "source": [ + "# How much current flows in the filament of a 300-W bulb connected to the 120-V power line?\n", + "\n", + "# Given Data\n", + "\n", + "V = 120.0# # Voltage of Power line=120 Volts\n", + "P = 300# # Power of Bulb=300 Watts\n", + "\n", + "I = P/V#\n", + "print 'The Current I = %0.2f Amps'%I" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_9 Page No. 91" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current I = 0.50 Amps\n", + "OR 500 mA\n" + ] + } + ], + "source": [ + "# How much current flows in the filament of a 60-W bulb connected to the 120-V power line?\n", + "\n", + "# Given Data\n", + "\n", + "V = 120# # Voltage of Power line=120 Volts\n", + "P = 60.0# # Power of Bulb=60 Watts\n", + "\n", + "I = P/V#\n", + "print 'The Current I = %0.2f Amps'%I\n", + "print 'OR 500 mA'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_10 Page No. 93" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Cost = 4.32 $\n" + ] + } + ], + "source": [ + "# Asuming that the cost of electricity is 6 cent per kWh, how much will it cost to light a 100-W lightbulb for 30 days?\n", + "\n", + "h = 24*30# # Total hours = 24 hrs * 30 days\n", + "\n", + "kWh = 0.1*h# # 100W=0.1kW\n", + "\n", + "Cost = kWh*0.06# # 6 cent = $0.06\n", + "\n", + "print 'Cost = %0.2f $'%Cost" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_11 Page No. 95" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Power = 200.00 Watts\n" + ] + } + ], + "source": [ + "# Calculate the power in a circuit where the source of 100 V produces 2 A in a 50 Ohms Resistor.\n", + "\n", + "# Given data\n", + "\n", + "I = 2# # Current=2 Amps\n", + "R = 50# # Resistance=50 Ohms\n", + "V = 100# # Voltage Source=100 Volts\n", + "\n", + "P = I*I*R#\n", + "print 'The Power = %0.2f Watts'%P" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_12 Page No. 95" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Power = 400.00 Watts\n" + ] + } + ], + "source": [ + " \n", + "# Calculate the power in a circuit where the source of 100 V produces 4 A in a 25 Ohms Resistor.\n", + "\n", + "# Given data\n", + "\n", + "I = 4# # Current=4 Amps\n", + "R = 25# # Resistance=25 Ohms\n", + "V = 100# # Voltage Source=100 Volts\n", + "\n", + "P = I*I*R#\n", + "print 'The Power = %0.2f Watts'%P" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_13 Page No. 96" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current I = 5.00 Amps\n" + ] + } + ], + "source": [ + "# How much current is needed for a 600-W, 120-V toaster?\n", + "\n", + "# Given data\n", + "\n", + "V = 120.0# # Applied Voltage=120 Volts\n", + "P = 600# # Power of toaster=600 Watts\n", + "\n", + "I = P/V#\n", + "print 'The Current I = %0.2f Amps'%I" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_14 Page No. 97" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance = 24.00 Ohms\n" + ] + } + ], + "source": [ + "# How much is the resistance of a 600-W, 120-V toaster?\n", + "\n", + "# Given data\n", + "\n", + "V = 120.0# # Applied Voltage=120 Volts\n", + "P = 600# # Power of toaster=600 Watts\n", + "\n", + "R = (V*V)/P#\n", + "print 'The Resistance = %0.2f Ohms'%R" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_15 Page No. 97" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current I = 5.00 Amps\n" + ] + } + ], + "source": [ + "from math import sqrt\n", + "# How much current is needed for a 24 Ohms\u0003 Resistor that dissipates 600 W?\n", + "\n", + "# Given data\n", + "\n", + "R = 24.0# # Resistance=24 Ohms\n", + "P = 600.0# # Power=600 Watts\n", + "\n", + "I = sqrt(P/R)#\n", + "print 'The Current I = %0.2f Amps'%I" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_16 Page No. 98" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistor value = 1500.00 Ohms\n", + "i.e 1.5 kohms\n", + "The Power = 0.60 Watts\n", + "OR 600 mW\n" + ] + } + ], + "source": [ + "# Determine the required resistance and appropriate wattage rating of a resistor to meet the following requirements: The resistor must have a 30-V IR drop when its current is 20 mA. The resistors available have the following wattage ratings: 1⁄8, 1⁄4, 1⁄2, 1, and 2 W.\n", + "\n", + "# Given data\n", + "\n", + "I = 20.0*10**-3# # Current=20m Amps\n", + "V = 30.0# # Voltage Drop=30 Volts\n", + "\n", + "R = V/I#\n", + "print 'The Resistor value = %0.2f Ohms'%R\n", + "print 'i.e 1.5 kohms'\n", + "\n", + "P = I*I*R#\n", + "print 'The Power = %0.2f Watts'%P\n", + "print 'OR 600 mW'\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 3_17 Page No. 99" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistor value = 1500000 Ohms\n", + "i.e 1.5 Mohms\n", + "The Power = 0.03375 Watts\n", + "i.e 33.75 mW\n" + ] + } + ], + "source": [ + "#Determine the required resistance and appropriate wattage rating of a carbonfilm resistor to meet the following requirements: The resistor must have a 225-V IR drop when its current is 150 uA. The resistors available have the following wattage ratings: 1⁄8, 1⁄4, 1⁄2, 1, and 2 W.\n", + "\n", + "# Given data\n", + "\n", + "I = 150.0*10**-6# # Current=150 uAmps\n", + "V = 225# # Voltage Drop=225 Volts\n", + "\n", + "R = V/I#\n", + "print 'The Resistor value = %0.f Ohms'%R\n", + "print 'i.e 1.5 Mohms'\n", + "\n", + "P = I*I*R#\n", + "print 'The Power = %0.5f Watts'%P\n", + "print 'i.e 33.75 mW'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter30.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter30.ipynb new file mode 100755 index 00000000..5b2dbf97 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter30.ipynb @@ -0,0 +1,578 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 30 : Field Effect Transistors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_1 Page No. 984" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Id for Vgs is 0 Volts = 0.01 Amps\n", + "i.e 10 mAmps\n", + "The Value of Id for Vgs is -0.5 Volts = 0.0077 Amps\n", + "i.e 7.65 mAmps\n", + "The Value of Id for Vgs is -1 Volts = 0.0056 Amps\n", + "i.e 5.62 mAmps\n", + "The Value of Id for Vgs is -2 Volts = 0.0025 Amps\n", + "i.e 2.5 mAmps\n", + "The Value of Id for Vgs is -3 Volts = 0.0006 Amps\n", + "i.e 0.625 mAmps\n" + ] + } + ], + "source": [ + "# Determine Id for each value of Vgs (a) 0V# (b) -0.5V# (c) -1V (d) -2V (e) -3V\n", + "\n", + "# Given Data\n", + "\n", + "Vgs1 = 0# # Voltage Gate-Source 1=0 Volts\n", + "Vgs2 = -0.5# # Voltage Gate-Source 2=-0.5 Volts\n", + "Vgs3 = -1.# # Voltage Gate-Source 3=-1 Volts\n", + "Vgs4 = -2.# # Voltage Gate-Source 4=-2 Volts\n", + "Vgs5 = -3.# # Voltage Gate-Source 5=-3 Volts\n", + "Vgsoff = -4.# # Voltage Gate-Source(off)=-4 Volts\n", + "Idss = 10.*10**-3 # Idss = 10m Amps\n", + "\n", + "a = (1-(Vgs1/Vgsoff))\n", + "b = (1-(Vgs2/Vgsoff))\n", + "c = (1-(Vgs3/Vgsoff))\n", + "d = (1-(Vgs4/Vgsoff))\n", + "e = (1-(Vgs5/Vgsoff))\n", + "\n", + "# Vgs = 0 Volts\n", + "\n", + "Id1 = Idss*a*a\n", + "print 'The Value of Id for Vgs is 0 Volts = %0.2f Amps'%Id1\n", + "print 'i.e 10 mAmps'\n", + "\n", + "# Vgs = -0.5 Volts\n", + "\n", + "Id2 = Idss*b*b\n", + "print 'The Value of Id for Vgs is -0.5 Volts = %0.4f Amps'%Id2\n", + "print 'i.e 7.65 mAmps'\n", + "\n", + "# Vgs = -1 Volts\n", + "\n", + "Id3 = Idss*c*c\n", + "print 'The Value of Id for Vgs is -1 Volts = %0.4f Amps'%Id3\n", + "print 'i.e 5.62 mAmps'\n", + "\n", + "# Vgs = -2 Volts\n", + "\n", + "Id4 = Idss*d*d\n", + "print 'The Value of Id for Vgs is -2 Volts = %0.4f Amps'%Id4\n", + "print 'i.e 2.5 mAmps'\n", + "\n", + "# Vgs = -3 Volts\n", + "\n", + "Id5 = Idss*e*e\n", + "print 'The Value of Id for Vgs is -3 Volts = %0.4f Amps'%Id5\n", + "print 'i.e 0.625 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_2 Page No. 985" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Id = 1.2500e-04 Amps using Minimum Values\n", + "i.e 125 uAmps\n", + "The Value of Vds = 1.88 Volts using Minimum Values\n", + "The Value of Id = 0.0132 Amps using Maximum Values\n", + "i.e 13.2 mAmps\n", + "The Value of Vds = -11.20 Volts using Maximun Values\n", + "The Value of Vds(p) = 6.50 Volts using Maximun Values\n" + ] + } + ], + "source": [ + "# Find the minimim and maximum value of Id and Vds if Vgs=-1.5 Volts\n", + "\n", + "# Given Data\n", + "\n", + "Idssmin = 2.*10**-3# # Idss(min)=2m Amp\n", + "Idssmax = 20.*10**-3# # Idss(max)=20m Amp\n", + "Vgs = -1.5# # Voltage Gate-Source=-1.5V\n", + "Vgsoffmin = -2.# # Voltage Gate-Source(off)(min)=-2 Volts\n", + "Vgsoffmax = -8.# # Voltage Gate-Source(off)(max)=-8 Volts\n", + "Vdd = 2.0# # Supply Voltage(Drain)=20 Volts\n", + "Rd = 1.*10**3# # Drain Resistance=1k Ohms\n", + "\n", + "a = 1-(Vgs/Vgsoffmin)#\n", + "b = 1-(Vgs/Vgsoffmax)#\n", + "\n", + "# Calculation using Minimum Values\n", + "\n", + "Id1 = Idssmin*a*a#\n", + "print 'The Value of Id = %0.4e Amps using Minimum Values'%Id1\n", + "print 'i.e 125 uAmps'\n", + "\n", + "Vds1 = Vdd-Id1*Rd#\n", + "print 'The Value of Vds = %0.2f Volts using Minimum Values'%Vds1\n", + "\n", + "# Calculation using Maximum Values\n", + "\n", + "Id2 = Idssmax*b*b#\n", + "print 'The Value of Id = %0.4f Amps using Maximum Values'%Id2\n", + "print 'i.e 13.2 mAmps'\n", + "\n", + "Vds2 = Vdd-Id2*Rd#\n", + "print 'The Value of Vds = %0.2f Volts using Maximun Values'%Vds2\n", + "\n", + "Vp = -Vgsoffmax#\n", + "\n", + "Vdsp = Vp+Vgs#\n", + "print 'The Value of Vds(p) = %0.2f Volts using Maximun Values'%Vdsp" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_3 Page No. 989" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Drain Voltage Vd = 5.00 Volts\n" + ] + } + ], + "source": [ + "# Calculate the value of Vd\n", + "\n", + "# Given Data\n", + "\n", + "Vs = 1.# # Voltage at Resistor Rs=1 Volts\n", + "Rs = 200.# # Source Resistor=200 Ohms\n", + "Vdd = 10.# # Supply Voltage(Drain)=10 Volts\n", + "Rd = 1.*10**3# # Drain Resistor=1k Ohms\n", + "\n", + "Is=Vs/Rs#\n", + "\n", + "Id = Is#\n", + "\n", + "Vd = Vdd-Id*Rd#\n", + "print 'The Drain Voltage Vd = %0.2f Volts'%Vd," + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_4 Page No. 991" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Vg = 3.06 Volts\n", + "i.e 3 Volts\n", + "The Value of Vs = 4.06 Volts\n", + "i.e 4 Volts\n", + "The Value of Id = 5.08e-03 Amps.\n", + "i.e 5 mAmps\n", + "The Value of Vd = 9.92 Volts\n", + "Approx 10 Volts\n" + ] + } + ], + "source": [ + "# Calculate Vg, Vs, Id, Vd.\n", + "\n", + "# Given Data\n", + "\n", + "R1 = 390.*10**3# # Resistor 1=390k Ohms\n", + "R2 = 100.*10**3# # Resistor 2=100k Ohms\n", + "Rd = 1.*10**3# # Drain Resistor=1k Ohms\n", + "Vdd = 15.# # Supply Voltage(Drain)=15 Volts\n", + "Vgs = -1.# # Voltage Gate-Source=-1 Volts\n", + "Rs = 800.# # Source Resistor=800 Ohms\n", + "\n", + "Vg = (R2/(R1+R2))*Vdd#\n", + "print 'The Value of Vg = %0.2f Volts'%Vg\n", + "print 'i.e 3 Volts'\n", + "\n", + "Vs = Vg-Vgs#\n", + "print 'The Value of Vs = %0.2f Volts'%Vs\n", + "print 'i.e 4 Volts'\n", + "\n", + "Id = Vs/Rs#\n", + "print 'The Value of Id = %0.2e Amps.'%Id\n", + "print 'i.e 5 mAmps'\n", + "\n", + "Vd = Vdd-Id*Rd\n", + "print 'The Value of Vd = %0.2f Volts'%Vd\n", + "print 'Approx 10 Volts'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_5 Page No. 992" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Drain Current Id = 6.50e-03 Amps\n", + "i.e 6.5 mAmps\n", + "The Drain Voltage Vd = 8.50 Voltage\n" + ] + } + ], + "source": [ + "# Calculate the value Drain Current Id and Drain Voltage Vd.\n", + "\n", + "# Given Data\n", + "\n", + "Vdd = 15# # Supply Voltage(Drain)=15 Volts\n", + "Vbe = 0.7# # Voltage Base-Emitter=0.7 Volts\n", + "Re = 2.2*10**3# # Emitter Resistor=2.2 kOhms\n", + "Rd = 1*10**3# # Drain Resistor=1 kOhms\n", + "Vee = 15# # Supply Voltage(Emitter)=15 Volts\n", + "\n", + "\n", + "Ic = (Vee-Vbe)/Re#\n", + "\n", + "Id = Ic#\n", + "print 'The Drain Current Id = %0.2e Amps'%Id\n", + "print 'i.e 6.5 mAmps'\n", + "\n", + "Vd = Vdd-Id*Rd#\n", + "print 'The Drain Voltage Vd = %0.2f Voltage'%Vd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_6 Page No. 997" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Gain Av =4.89\n", + "Approx 4.875\n", + "The Output Voltage Vo = 0.978 Volts(p-p)\n" + ] + } + ], + "source": [ + "# Calculate the Voltage Gain Av and Output Voltage Vo\n", + "\n", + "# Given Data\n", + "\n", + "Rd = 1.5*10**3# # Drain Resistor=1.5 kOhms\n", + "Rl = 10*10**3# # Load Resistor=10 kOhms\n", + "Idss = 10*10**-3# # Idss=10 mAmps\n", + "Vgs = -1# # Voltage Gate-Source=-1 Volts\n", + "Vgsoff = -4.# # Voltage Gate-Source(off)=-4 Volts\n", + "Vin = 0.2# # Input Voltage=0.2 Volts(p-p)\n", + "\n", + "gmo = 2*Idss/(-Vgsoff)#\n", + "\n", + "gm = gmo*(1-(Vgs/Vgsoff))#\n", + "\n", + "rl = (Rd*Rl)/(Rd+Rl)#\n", + "\n", + "Av = gm*rl#\n", + "print 'The Voltage Gain Av =%0.2f'%Av\n", + "print 'Approx 4.875'\n", + "\n", + "Vo = Av*Vin\n", + "print 'The Output Voltage Vo = %0.3f Volts(p-p)'%Vo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_7 Page No. 998" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Gain Av =0.37\n", + "The Output Voltage Vo = 0.37 Volts(p-p)\n", + "The Output Impedence Zo = 143.28 Ohms\n", + "Approx 143.5 Ohms\n" + ] + } + ], + "source": [ + "# Calculate Av, Vo & Zo.\n", + "\n", + "# Given Data\n", + "\n", + "Rs = 240.# # Source Resistor=240 Ohms\n", + "Rl = 1.8*10**3# # Load Resistor=1.8 kOhms\n", + "Vgsoff = -8.# # Voltage Gate-Source(off)=-8 Volts\n", + "Vgs = -2.# # Voltage Gate-Source=-2 Volts\n", + "Idss = 15.*10**-3 # Idss=15 mAmps.\n", + "Vin = 1.# # Input Voltage=1 Volts(p-p)\n", + "\n", + "rl = ((Rs*Rl)/(Rs+Rl))#\n", + "gmo = 2*Idss/-Vgsoff#\n", + "gm = gmo*(1-(Vgs/Vgsoff))#\n", + "\n", + "Av = gm*rl/(1+gm*rl)#\n", + "print 'The Voltage Gain Av =%0.2f'%Av\n", + "\n", + "Vo = Av*Vin#\n", + "print 'The Output Voltage Vo = %0.2f Volts(p-p)'%Vo\n", + "\n", + "A = (1/gm)#\n", + "Zo = ((Rs*A)/(Rs+A))#\n", + "print 'The Output Impedence Zo = %0.2f Ohms'%Zo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_8 Page No. 1000" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Gain Av =4.17\n", + "The Output Voltage = 4.17e-02 Volts(p-p)\n", + "Approx 41.6 mVolts(p-p)\n", + "The Output Impedence Zi = 114.29 Ohms\n", + "Approx 114 Ohms\n" + ] + } + ], + "source": [ + "#Calculate Av, Vo, Zin.\n", + "\n", + "# Given Data\n", + "\n", + "Rd = 1.2*10**3# # Drain Resistor=1.2 kOhms\n", + "Rl = 15.*10**3# # Load Resistor=15 kOhms\n", + "gm = 3.75*10**-3# # Transconductance=3.75 mSiemens\n", + "Vin = 10.*10**-3# # Input Voltage=10 mVpp\n", + "Rs = 200.# # Source Resistor=200 Ohms\n", + "\n", + "rl = ((Rd*Rl)/(Rd+Rl))#\n", + "\n", + "Av = gm*rl#\n", + "print 'The Voltage Gain Av =%0.2f'%Av\n", + "\n", + "Vo = Av*Vin#\n", + "print 'The Output Voltage = %0.2e Volts(p-p)'%Vo\n", + "print 'Approx 41.6 mVolts(p-p)'\n", + "\n", + "A = (1/gm)#\n", + "\n", + "Zi = ((Rs*A)/(Rs+A))#\n", + "print 'The Output Impedence Zi = %0.2f Ohms'%Zi\n", + "print 'Approx 114 Ohms'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_9 Page No. 1001" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Id for Vgs is 2 Volts = 2.25e-02 Amps\n", + "i.e 22.5 mAmps\n", + "The Value of Id for Vgs is -2 Volts = 2.50e-03 Amps\n", + "i.e 2.5 mAmps\n", + "The Value of Id for Vgs is 0 Volts = 1.00e-02 Amps\n", + "i.e 10 mAmps\n" + ] + } + ], + "source": [ + "#Determine Id for each value of Vgs (a) 2V# (b) -2V# (c) 0V\n", + "\n", + "# Given Data\n", + "Vgs1 = 2.# # Voltage Gate-Source 1=2 Volts\n", + "Vgs2 = -2.# # Voltage Gate-Source 2=-2 Volts\n", + "Vgs3 = 0# # Voltage Gate-Source 3=0 Volts\n", + "Vgsoff = -4.# # Voltage Gate-Source(off)=-4 Volts\n", + "Idss = 10.*10**-3# # Idss = 10m Amps\n", + "\n", + "a = (1-(Vgs1/Vgsoff))#\n", + "b = (1-(Vgs2/Vgsoff))#\n", + "c = (1-(Vgs3/Vgsoff))#\n", + "\n", + "# Vgs = 2 Volts\n", + "\n", + "Id1 = Idss*a*a#\n", + "print 'The Value of Id for Vgs is 2 Volts = %0.2e Amps'%Id1\n", + "print 'i.e 22.5 mAmps'\n", + "\n", + "# Vgs = -2 Volts\n", + "\n", + "Id2 = Idss*b*b#\n", + "print 'The Value of Id for Vgs is -2 Volts = %0.2e Amps'%Id2\n", + "print 'i.e 2.5 mAmps'\n", + "\n", + "# Vgs = 0 Volts\n", + "\n", + "Id3 = Idss*c*c#\n", + "print 'The Value of Id for Vgs is 0 Volts = %0.2e Amps'%Id3\n", + "print 'i.e 10 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 30_10 Page No. 1002" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Drain Resistance = 500.00 Ohms\n", + "A 470 Ohms resistor would provide the proper biasing voltage at the gate\n" + ] + } + ], + "source": [ + "# Calculate the value of Rd to provide an Id(on) of 10m Amps.\n", + "\n", + "# Given Data\n", + "\n", + "Vdd = 15.# # Suppy Voltage(Drain)=15 Volts\n", + "Vgson = 10.# # Voltage Gate-Source(on)=10 Volts\n", + "Idon = 10.*10**-3# # Drain Current(on)=10m Amps\n", + "\n", + "Rd = (Vdd-Vgson)/Idon#\n", + "print 'The Drain Resistance = %0.2f Ohms'%Rd\n", + "\n", + "print 'A 470 Ohms resistor would provide the proper biasing voltage at the gate'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter31.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter31.ipynb new file mode 100755 index 00000000..6cbfbe90 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter31.ipynb @@ -0,0 +1,472 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 31 : Power Amplifiers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 31_1 Page No. 1019" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The value of Icq = 7.95e-03 Amps\n", + "i.e Approx 7.91 mAmps\n", + "The value of Vceq = 10.14 Volts\n", + "The Power Dissipation = 8.06e-02 Watts\n", + "i.e 80.6 mWatts\n", + "The value of Ic(sat) = 1.61e-02 Amps\n", + "i.e 16.1 mAmps\n", + "The value of Vce(off) = 20.00 Volts\n", + "Q(10.138406,0.007953)\n", + "\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "from matplotlib.pyplot import plot,show,title,xlabel,ylabel\n", + "# Calculate the following dc quantities Icq, Vceq, Pd, Ic(sat) and Vce(off). Also draw the dc load line\n", + "\n", + "# Given Data\n", + "\n", + "R1 = 18.*10**3# # Resistor 1=18k Ohms\n", + "R2 = 2.7*10**3# # Resistor 2=2.7k Ohms\n", + "Vcc = 20.# # Supply Voltage(Collector)=20 Volts\n", + "Vbe = 0.7# # Voltage Base-Emitter=0.7 Volts\n", + "Re = 240.# # Emitter Resistor=240 Ohms\n", + "Rc = 1.*10**3# # Collector Resistor=1k Ohms\n", + "\n", + "Vb = Vcc*(R2/(R1+R2))#\n", + "\n", + "Ve = Vb-Vbe#\n", + "\n", + "#Ie = Ic#\n", + "\n", + "Icq = Ve/Re#\n", + "print 'The value of Icq = %0.2e Amps'%Icq\n", + "print 'i.e Approx 7.91 mAmps'\n", + "\n", + "Vceq = Vcc-Icq*(Rc+Re)#\n", + "print 'The value of Vceq = %0.2f Volts'%Vceq\n", + "\n", + "Pd = Vceq*Icq#\n", + "print 'The Power Dissipation = %0.2e Watts'%Pd\n", + "print 'i.e 80.6 mWatts'\n", + "\n", + "Icsat = Vcc/(Rc+Re)#\n", + "print 'The value of Ic(sat) = %0.2e Amps'%Icsat\n", + "print 'i.e 16.1 mAmps'\n", + "\n", + "Vceoff = Vcc#\n", + "print 'The value of Vce(off) = %0.2f Volts'%Vceoff\n", + "\n", + "# For DC load line\n", + "\n", + "Vce1=[Vceoff ,Vceq, 0]\n", + "Ic1=[0, Icq, Icsat]\n", + "\n", + "#To plot DC load line\n", + "\n", + "print \"Q(%f,%f)\\n\"%(Vceq,Icq)\n", + "plot(Vce1, Ic1)\n", + "plot(Vceq,Icq)\n", + "plot(0,Icq)\n", + "plot(Vceq,0)\n", + "plot(0,Icsat)\n", + "plot(Vceoff,0)\n", + "xlabel(\"Vce in volt\")\n", + "ylabel(\"Ic in Ampere\")\n", + "title(\"DC Load-line for Common-Emitter Class A Amplifier Circuit\")\n", + "show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 31_2 Page No. 1024" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Gain Av =189.84\n", + "Approx 190\n", + "The Output Voltage = 4.75 Volts\n", + "The Load Power = 1.88e-03 Watts\n", + "i.e Approx 1.88 mWatts\n", + "The Dc Input Power = 1.78e-01 Watts\n", + "i.e Approx 177.4 mWatts\n", + "The Efficiency in % =1.06\n", + "Approx 1%\n", + "The Y-axis Value of AC Load-line is ic(sat) = 2.49e-02 Amps\n", + "i.e 24.89 mAmps\n", + "The X-axis value of AC Load-line is vce(off) = 14.94 Volts\n", + "Q(10.190000,0.007910)\n", + "\n" + ] + }, + { + "data": { + "image/png": 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8hAwPu7vPrc8Bm4oKE2kqGzfC+PFhed68MLy9SDHKazWXu89JvQFPABpoQiTq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\nvjUubwVKGitgEZFCc+SRsHp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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "from matplotlib.pyplot import plot,show,title,xlabel,ylabel\n", + "\n", + "# Claculate the following AC quantities Av, Vout, Pl, Pcc and percent efficiency. Also calculate the endpoints of ac loadline\n", + "\n", + "# Given data\n", + "\n", + "Icq = 7.91*10**-3# # Collector Currect(Q-point)=7.91 mAmps\n", + "Rl = 1.5*10**3# # Load Resistor=1.5 kOhms\n", + "Rc = 1.*10**3# # Collector Resistor=1 kOhms\n", + "Vin = 25.*10**-3# # Input Voltage=25 mVolts(p-p)\n", + "R1 = 18.*10**3# # Resistor 1=18 kOhms\n", + "R2 = 2.7*10**3# # Resistor 2=2.7 kOhms\n", + "Vcc = 20.# # Supply Voltage(Collector)=20 Volts\n", + "Vceq = 10.19# # Voltage Colector-Emitter(Q-point)=10.19 Volts\n", + "\n", + "rc = (25.*10**-3)/Icq#\n", + "rl = (Rc*Rl)/(Rc+Rl)\n", + "\n", + "Av = rl/rc#\n", + "print 'The Voltage Gain Av =%0.2f'%Av\n", + "print 'Approx 190'\n", + "\n", + "Vout = Av*Vin#\n", + "print 'The Output Voltage = %0.2f Volts'%Vout\n", + "\n", + "Pl = (Vout*Vout)/(8*Rl)#\n", + "print 'The Load Power = %0.2e Watts'%Pl\n", + "print 'i.e Approx 1.88 mWatts'\n", + "\n", + "Ivd = Vcc/(R1+R2)#\n", + "# Ic = Icq\n", + "Icc = Ivd+Icq#\n", + "\n", + "Pcc = Vcc*Icc#\n", + "print 'The Dc Input Power = %0.2e Watts'%Pcc\n", + "print 'i.e Approx 177.4 mWatts'\n", + "\n", + "efficiency = ((Pl/Pcc)*100)#\n", + "print 'The Efficiency in %% =%0.2f'%efficiency\n", + "print 'Approx 1%'\n", + "\n", + "# Endpoints of AC load line\n", + "\n", + "icsat = Icq+(Vceq/rl)#\n", + "print 'The Y-axis Value of AC Load-line is ic(sat) = %0.2e Amps'%icsat\n", + "print 'i.e 24.89 mAmps'\n", + "\n", + "vceoff = Vceq+Icq*rl#\n", + "print 'The X-axis value of AC Load-line is vce(off) = %0.2f Volts'%vceoff\n", + "\n", + "# For AC load line\n", + "\n", + "Vce1=[vceoff, Vceq, 0]\n", + "Ic1=[0 ,Icq ,icsat]\n", + "\n", + "#To plot AC load line\n", + "\n", + "print \"Q(%f,%f)\\n\"%(Vceq,Icq)\n", + "plot(Vce1, Ic1)\n", + "plot(Vceq,Icq)\n", + "plot(0,Icq)\n", + "plot(Vceq,0)\n", + "plot(0,icsat)\n", + "plot(vceoff,0)\n", + "xlabel(\"Vce in volt\")\n", + "ylabel(\"Ic in Ampere\")\n", + "title(\"AC Load-line for Common-Emitter Class A Amplifier Circuit\")\n", + "show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 31_3 Page No. 1025" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Load Power = 6.25 Watts\n", + "The DC Input Power = 9.54 Watts\n", + "The Efficiency in % =65.51\n", + "The Maximum Power Dissipation = 1.80 Watts\n" + ] + } + ], + "source": [ + "#Calculate the following quantities: Pl, Pcc, Pdmax & percent efficiency\n", + "\n", + "# Given data\n", + "\n", + "Vin = 20.# # Input Voltage=20 Volts(p-p)\n", + "Vopp = 20.# # Output Voltage(p-p)=20 Volts(p-p)\n", + "Vcc = 24.# # Supply Voltage(Collector)=24 Volts\n", + "Vop = 10.# # Output Voltage(peak)=10 Volts\n", + "Rl = 8.# # Load Resistor=8 Ohms\n", + "\n", + "Vopp1 = Vopp*Vopp#\n", + "Pl = (Vopp1/(8*Rl))#\n", + "print 'The Load Power = %0.2f Watts'%Pl\n", + "\n", + "Icc = ((Vop/Rl)*0.318)#\n", + "\n", + "Pcc = Vcc*Icc\n", + "print 'The DC Input Power = %0.2f Watts'%Pcc\n", + "\n", + "eff = ((Pl/Pcc)*100)#\n", + "print 'The Efficiency in %% =%0.2f'%eff\n", + "\n", + "Pd = (Vcc*Vcc)/(40*Rl)#\n", + "print 'The Maximum Power Dissipation = %0.2f Watts'%Pd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 31_4 Page No. 1037" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Load Power = 39.00 Watts\n", + "The DC Input Power = 57.24 Watts\n", + "The Efficiency in % = 68.13\n" + ] + } + ], + "source": [ + "# Calculate the following quantities Pl, Pcc & percent efficiency\n", + "\n", + "# Given data\n", + "\n", + "Rl = 8# # Load Resistor=8 Ohms\n", + "Vopp = 50# # Output Voltage(p-p)=50 Volts(p-p)\n", + "Vcc = 30# # Supply Voltage(Collector)=30 Volts\n", + "Vopk = Vopp/2# # Output Voltage(peak)\n", + "\n", + "Pl = (Vopp*Vopp)/(8*Rl)#\n", + "print 'The Load Power = %0.2f Watts'%Pl\n", + "\n", + "Pcc = Vcc*0.636*(Vopk/Rl)#\n", + "print 'The DC Input Power = %0.2f Watts'%Pcc\n", + "\n", + "efficiency = ((Pl/Pcc)*100)#\n", + "print 'The Efficiency in %% = %0.2f'%efficiency" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 31_5 Page No. 1038" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resonant Frequency = 2.00e+06 Hertz\n", + "i.e 2 MHz\n", + "The DC Bias Voltage at Base = 0.80 Volts\n" + ] + } + ], + "source": [ + "from math import sqrt\n", + "# Calculate the fr of LC tank circuit and dc bias voltage at base\n", + "\n", + "# Given data\n", + "\n", + "L = 100*10**-6# # Inductor=100 uHenry\n", + "C = 63.325*10**-12# # Capacitor=63.325 pFarad\n", + "Vin = 1.5# # Input Voltage(peak)=1.5 Volts\n", + "Vbe = 0.7# # Voltage Base-Emitter=0.7 Volts\n", + "\n", + "A = sqrt(L*C)#\n", + "fr = 1./(2*3.14*A)#\n", + "print 'The Resonant Frequency = %0.2e Hertz'%fr\n", + "print 'i.e 2 MHz'\n", + "\n", + "Vdc = (Vin-Vbe)#\n", + "print 'The DC Bias Voltage at Base = %0.2f Volts'%Vdc" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 31_6 Page No. 1039" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Minimum Base Reisitance Rb to Provide Clamping Action = 500 Ohms\n" + ] + } + ], + "source": [ + "# Calculate the minimum base reisitance Rb, necessary to provide clamping action\n", + "\n", + "# Given data\n", + "\n", + "C = 0.01*10**-6# # Capacitor=0.01 uFarad\n", + "fr = 2.*10**6# # Resonant Frequency=2 MHertz\n", + "\n", + "fin = fr\n", + "T = 1/fin\n", + "\n", + "Rb = 10*T/C\n", + "print 'The Minimum Base Reisitance Rb to Provide Clamping Action = %0.f Ohms'%Rb" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 31_7 Page No. 1040" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Bandwidth = 45120 Hertz\n", + "i.e Approx 45 kHz\n" + ] + } + ], + "source": [ + "# Calculate the Bandwidth\n", + "\n", + "# Given data\n", + "\n", + "L = 100*10**-6# # Inductor=100 uHenry\n", + "fr = 2*10**6# # Resonant Frequency=2 MHertz\n", + "ri = 12.56# # Resistance of Coil=12.56 Ohms\n", + "Rp = 100*10**3# # Rp=100 kOhms\n", + "\n", + "Xl = 2*3.14*fr*L#\n", + "Qcoil = Xl/ri#\n", + "Ztank = Qcoil*Xl#\n", + "\n", + "A = Ztank#\n", + "B = Rp#\n", + "C = (A*B)/(A+B)#\n", + "Qckt = C/Xl#\n", + "\n", + "BW = fr/Qckt#\n", + "print 'The Bandwidth = %0.f Hertz'%BW\n", + "print 'i.e Approx 45 kHz'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter32.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter32.ipynb new file mode 100755 index 00000000..bc93187e --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter32.ipynb @@ -0,0 +1,71 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 32 : Thyristors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 32_1 Page No. 1058" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Frequency of the Emmiter Voltage Waveform = 49.61 Hertz\n" + ] + } + ], + "source": [ + "from math import log\n", + "# Calculate the frequency of the emmiter voltage waveform. Assume n=0.6\n", + "\n", + "# Given data\n", + "\n", + "Rt = 220*10**3# # Resistor Rt=220k Ohms\n", + "Ct = 0.1*10**-6# # Capacitor Ct=0.1u Farad\n", + "n = 0.6# # Constant\n", + "\n", + "A = 1./(1-n)#\n", + "T = Rt*Ct*log(A)#\n", + "\n", + "f = 1./T#\n", + "print 'The Frequency of the Emmiter Voltage Waveform = %0.2f Hertz'%f" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter33.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter33.ipynb new file mode 100755 index 00000000..c663815f --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter33.ipynb @@ -0,0 +1,1000 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 33 : Operational Amplifiers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_1 Page No. 1072" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Differential Voltage Gain =143.00\n", + "The Ac Output Voltage = 1.43 Volts(p-p)\n" + ] + } + ], + "source": [ + "# Calculate the differential voltage gain, Ad, and the ac output voltage, Vout.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 10*10**-3# # Input voltage=10 mVolts(p-p)\n", + "Rc = 10*10**3# # Collector resistance=10 kOhms\n", + "Ie = 715.*10**-6# # Emitter current=715 uAmps\n", + "\n", + "re = (25*10**-3)/Ie#\n", + "\n", + "Ad = Rc/(2*re)#\n", + "print 'The Differential Voltage Gain =%0.2f'%Ad\n", + "\n", + "Av = Ad\n", + "\n", + "Vo = Av*Vin#\n", + "print 'The Ac Output Voltage = %0.2f Volts(p-p)'%Vo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_2 Page No. 1073" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Common-Mode Voltage Gain Acm = 0.50\n", + "The Commom-Mode Rejection Ratio = 49.12 dB\n" + ] + } + ], + "source": [ + "from math import log10\n", + "# calculate the common-mode voltage gain, ACM, and the CMRR (dB).\n", + "\n", + "# Given data\n", + "\n", + "Rc = 10*10**3# # Collector resistance=10 kOhms\n", + "Re = 10.*10**3# # Emitter resistance=10 kOhms\n", + "Ad = 142.86# # Differential gain=142.86\n", + "\n", + "Acm = Rc/(2*Re)#\n", + "print 'The Common-Mode Voltage Gain Acm = %0.2f'%Acm\n", + "\n", + "CMRR = 20*log10(Ad/Acm)#\n", + "print 'The Commom-Mode Rejection Ratio = %0.2f dB'%CMRR" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_3 Page No. 1074" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output Frequency = 7.96e+04 Hertz\n", + "i.e 79.6 kHz\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate fmax for an op amp that has an Sr of 5 V/u\u0002s and a peak output voltage of 10 V.\n", + "\n", + "# Given data\n", + "\n", + "Vpk = 10.# # Peak output voltage=10 Volts\n", + "Sr = 5./10**-6# # Slew rate=5 V/us\n", + "\n", + "\n", + "fo = Sr/(2*pi*Vpk)#\n", + "print 'The Output Frequency = %0.2e Hertz'%fo\n", + "print 'i.e 79.6 kHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_4 Page No. 1075" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Closed-Loop Voltage Gain Acl =-10.00\n", + "The Output Voltage = 10.00 Volts(p-p)\n", + "The -ve sign indicates that input and output voltages are 180° out-of-phase\n" + ] + } + ], + "source": [ + "# calculate the closed-loop voltage gain, Acl, and the output voltage, Vout.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 1.# # Input voltage=1 Volts(p-p)\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "Ri = 1.*10**3# # Input resistance=1 kOhms\n", + "\n", + "Acl = -(Rf/Ri)#\n", + "print 'The Closed-Loop Voltage Gain Acl =%0.2f'%Acl\n", + "\n", + "Vo = -Vin*Acl#\n", + "print 'The Output Voltage = %0.2f Volts(p-p)'%Vo\n", + "print 'The -ve sign indicates that input and output voltages are 180° out-of-phase'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_5 Page No. 1076" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Differential Input Voltage = 1.00e-04 Volts(p-p)\n", + "i.e 100 uVolts(p-p)\n" + ] + } + ], + "source": [ + "#If Avol equals 100,000, calculate the value of Vid.\n", + "\n", + "# Given data\n", + "\n", + "Avol = 100000.# # Open loop voltage gain=100,000\n", + "Vo = 10.# # Output voltage=10 Volts(p-p)\n", + "\n", + "Vid = Vo/Avol#\n", + "print 'The Differential Input Voltage = %0.2e Volts(p-p)'%Vid\n", + "print 'i.e 100 uVolts(p-p)'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_6 Page No. 1078" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Input Impedence = 1.00e+03 Ohms\n", + "i.e 1 kOhms\n", + "The Closed Loop Output Impedence = 0.01 Ohms\n" + ] + } + ], + "source": [ + "# calculate Zin and Zout(CL). Assume AVOL is\u0004 100,000 and Zout(OL) is\u0004 75 Ohms.\n", + "\n", + "# Given data\n", + "\n", + "Avol = 100000.# # Open loop voltage gain=100,000\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "Ri = 1.*10**3# # Input resistance=1 kOhms\n", + "Zool = 75.# # Output impedence (open-loop)=75 Ohms\n", + "\n", + "Zi = Ri#\n", + "print 'The Input Impedence = %0.2e Ohms'%Zi\n", + "print 'i.e 1 kOhms'\n", + "\n", + "Beta = Ri/(Ri+Rf)#\n", + "\n", + "A = Avol*Beta#\n", + "\n", + "Zocl = Zool/(1+A)#\n", + "print 'The Closed Loop Output Impedence = %0.2f Ohms'%Zocl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_7 Page No. 1083" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output Frequency = 1.59e+04 Hertz\n", + "i.e 15.915 kHz\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate the 5-V power bandwidth.\n", + "\n", + "# Given data\n", + "\n", + "Vo = 10.# # Output voltage=10 Volts(p-p)\n", + "Sr = 0.5/10**-6# # Slew rate=0.5 V/us\n", + "\n", + "Vpk = Vo/2#\n", + "\n", + "fo = Sr/(2*pi*Vpk)#\n", + "print 'The Output Frequency = %0.2e Hertz'%fo\n", + "print 'i.e 15.915 kHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_8 Page No. 1085" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Closed-Loop Voltage Gain Acl =11.00\n", + "The Output Voltage = 11.00 Volts(p-p)\n" + ] + } + ], + "source": [ + "# Calculate the closed-loop voltage gain, Acl, and the output voltage, Vout.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 1# # Input voltage=1 Volts(p-p)\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "Ri = 1.*10**3# # Input resistance=1 kOhms\n", + "\n", + "Acl = 1+(Rf/Ri)#\n", + "print 'The Closed-Loop Voltage Gain Acl =%0.2f'%Acl\n", + "\n", + "Vo = Vin*Acl#\n", + "print 'The Output Voltage = %0.2f Volts(p-p)'%Vo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_9 Page No. 1089" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Input Impedence Closed-Loop = 1.82e+10 Ohms\n", + "i.e 18 GOhms\n", + "The Closed-Loop Output Impedence = 0.01 Ohms\n" + ] + } + ], + "source": [ + "# Calculate Zin(CL) and Zout(CL). Assume Rin is\u0004 2 MOhms\u0006, Avol is 100,000, and Zout(OL) is 75 Ohms.\n", + "\n", + "# Given data\n", + "\n", + "Avol = 100000.# # Open loop voltage gain=100,000\n", + "Ri = 2.*10**6# # Input resistance=2 MOhms\n", + "B = 0.0909# # Beta=0.0909\n", + "Zool = 75.# # Output impedence (open-loop)=75 Ohms\n", + "\n", + "Zicl = Ri*(1+Avol*B)#\n", + "print 'The Input Impedence Closed-Loop = %0.2e Ohms'%Zicl\n", + "print 'i.e 18 GOhms'\n", + "\n", + "A = Avol*B#\n", + "\n", + "Zocl = Zool/(1+A)#\n", + "print 'The Closed-Loop Output Impedence = %0.2f Ohms'%Zocl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_10 Page No. 1090" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Input impedence closed-loop = 2.00e+11 Ohms\n", + "i.e 200 GOhms\n", + "The Closed loop Output Impedence = 0.001 Ohms\n" + ] + } + ], + "source": [ + "# Assume Rin is 2 MOhms, Avol is 100,000, and Zout(OL) is 75 Ohms. Calculate Zin(CL) and Zout(CL)\n", + "\n", + "# Given data\n", + "\n", + "Avol = 100000.# # Open loop voltage gain=100,000\n", + "Ri = 2.0*10**6# # Input resistance=2 MOhms\n", + "B = 1.0# # Beta=1\n", + "Zool = 75.# # Output impedence (open-loop)=75 Ohms\n", + "\n", + "Zicl = Ri*(1+Avol*B)#\n", + "print 'The Input impedence closed-loop = %0.2e Ohms'% Zicl\n", + "print 'i.e 200 GOhms'\n", + "\n", + "A = Avol*B#\n", + "\n", + "Zocl = Zool/(1+A)#\n", + "print 'The Closed loop Output Impedence = %0.3f Ohms'%Zocl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_11 Page No. 1091" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Closed-Loop Voltage Gain Acl =-10.00\n", + "The Output Voltage = 7.50 Volts\n" + ] + } + ], + "source": [ + "# Calculate the closed-loop voltage gain, Acl, and the dc voltage at the op-amp output terminal.\n", + "\n", + "# Given data\n", + "\n", + "V = 15.# # Voltage at +ve terminal of op-amp=15 Volts\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "Ri = 1.*10**3# # Input resistance=1 kOhms\n", + "R1 = 10.*10**3# # Resistance1=10 kOhms\n", + "R2 = 10.*10**3# # Rsistance2=10 kOhms\n", + "\n", + "Acl = -(Rf/Ri)#\n", + "print 'The Closed-Loop Voltage Gain Acl =%0.2f'%Acl\n", + "\n", + "Vo = V*(R2/(R1+R2))#\n", + "print 'The Output Voltage = %0.2f Volts'%Vo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_12 Page No. 1095" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output Voltage 1 Volts\n" + ] + } + ], + "source": [ + "# Calculate the output voltage, Vout.\n", + "\n", + "# Given data\n", + "\n", + "V1 = 1# # Input voltage1=1 Volts\n", + "V2 = -5# # Input voltage2=-5 Volts\n", + "V3 = 3# # Input voltage3=3 Volts\n", + "\n", + "Vo = -(V1+V2+V3)#\n", + "print 'The Output Voltage %0.f Volts'%Vo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_13 Page No. 1097" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output Voltage = 3.00 Volts\n" + ] + } + ], + "source": [ + "# Calculate the output voltage, Vout.\n", + "\n", + "# Given data\n", + "\n", + "V1 = 0.5# # Input voltage1=0.5 Volts\n", + "V2 = -2.0# # Input voltage2=-2 Volts\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "R1 = 1.*10**3# # Resistance1=1 kOhms\n", + "R2 = 2.5*10**3# # Rsistance2=2.5 kOhms\n", + "\n", + "A = Rf/R1#\n", + "B = Rf/R2#\n", + "\n", + "Vo = -(A*V1+B*V2)#\n", + "print 'The Output Voltage = %0.2f Volts'%Vo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_14 Page No. 1101" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output Voltage of Case A = -12.50 Volts\n", + "The Output Voltage of Case B = 10.00 Volts\n", + "The Output Voltage of Case C = -0.00 Volts\n" + ] + } + ], + "source": [ + "# Calculate the output voltage, Vout, if (a) Vx is 1 Vdc and Vy is -0.25 Vdc, (b) -Vx is 0.5 Vdc and Vy is 0.5 Vdc, (c) Vx is 0.3 V and Vy is 0.3 V.\n", + "\n", + "# Given data\n", + "\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "R1 = 1.*10**3# # Resistance1=1 kOhms\n", + "Vx1 = 1.# # Input voltage Vx1 at -ve terminal of op-amp=1 Volts\n", + "Vy1 = -0.25# # Input voltage Vy1 at +ve terminal of op-amp=-0.25 Volts\n", + "Vx2 = -0.5# # Input voltage Vx2 at -ve terminal of op-amp=-0.5 Volts\n", + "Vy2 = 0.5# # Input voltage Vy2 at +ve terminal of op-amp=0.5 Volts\n", + "Vx3 = 0.3# # Input voltage Vx3 at -ve terminal of op-amp=0.3 Volts\n", + "Vy3 = 0.3# # Input voltage Vy3 at +ve terminal of op-amp=0.3 Volts\n", + "\n", + "A = -Rf/R1#\n", + "\n", + "# Case A\n", + "\n", + "Voa = A*(Vx1-Vy1)#\n", + "print 'The Output Voltage of Case A = %0.2f Volts'%Voa\n", + "\n", + "# Case B\n", + "\n", + "Voa = A*(Vx2-Vy2)#\n", + "print 'The Output Voltage of Case B = %0.2f Volts'%Voa\n", + "\n", + "# Case C\n", + "\n", + "Voa = A*(Vx3-Vy3)#\n", + "print 'The Output Voltage of Case C = %0.2f Volts'%Voa" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_15 Page No. 1102" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output of Differential Amplifier = 5.00 Volts\n" + ] + } + ], + "source": [ + "# Assume that Rd increases to 7.5 k\u0006 due to an increase in the ambient temperature. Calculate the output of the differential amplifier. Note: Rb is 5 kOhms\u0006.\n", + "\n", + "# Given data\n", + "\n", + "Vi = 5.# # Voltage input=5 Volts(dc)\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "R1 = 1.*10**3# # Resistance1=1 kOhms\n", + "Ra = 5.*10**3# # Resistance A at wein bridge=5 kOhms\n", + "Rb = 10.*10**3# # Resistance B at wein bridge=10 kOhms\n", + "Rc = 5.*10**3# # Resistance C at wein bridge=5 kOhms\n", + "Rd = 7.5*10**3# # Resistance D at wein bridge=7.5 kOhms\n", + "\n", + "Vx = Vi*(Ra/Rb)#\n", + "Vy = Vi*(Rd/(Rd+Rc))#\n", + "A = -Rf/R1\n", + "\n", + "Vo = A*(Vx-Vy)#\n", + "print 'The Output of Differential Amplifier = %0.2f Volts'%Vo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_16 Page No. 1103" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Cutoff Frequency = 1.59e+03 Hertz\n", + "i.e 1.591 kHz\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate the cutoff frequency, fc.\n", + "\n", + "# Given data\n", + "\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "Cf = 0.01*10**-6# # Feedback capacitance=0.01 uFarad\n", + "\n", + "fc = 1./(2.*pi*Rf*Cf)#\n", + "print 'The Cutoff Frequency = %0.2e Hertz'%fc\n", + "print 'i.e 1.591 kHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_17 Page No. 1104" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Closed-Loop Voltage Gain at 0 Hz =-10.00\n", + "The Closed-Loop Voltage Gain at 1 MHz =-0.02\n" + ] + } + ], + "source": [ + "from math import pi,sqrt\n", + "# Calculate the Voltage gain, Acl at (a)0 Hz and (b) 1 MHz\n", + "\n", + "# Given data\n", + "\n", + "f1 = 1.*10**6# # Frequency=1 MHertz\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "R1 = 1.*10**3# # Resistance1=1 kOhms\n", + "Cf = 0.01*10**-6# # Feedback capacitance=0.01 uFarad\n", + "\n", + "# At 0 Hz, Xcf = infinity ohms, So, Zf=Rf \n", + "\n", + "Acl = -Rf/R1#\n", + "print 'The Closed-Loop Voltage Gain at 0 Hz =%0.2f'%Acl\n", + "\n", + "# At 1 MHz\n", + "\n", + "Xcf = 1/(2*pi*f1*Cf)#\n", + "\n", + "A = (Rf*Rf)#\n", + "B = (Xcf*Xcf)#\n", + "\n", + "Zf = ((Xcf*Rf)/sqrt(A+B))#\n", + "\n", + "Acl1 = -Zf/R1#\n", + "print 'The Closed-Loop Voltage Gain at 1 MHz =%0.2f'%Acl1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_18 Page No. 1105" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Gain at 0 Hz = 20.00 dB\n", + "The Voltage Gain at 1.591 kHz = 16.99 dB\n", + "approx 17dB\n" + ] + } + ], + "source": [ + "from math import log10,pi,sqrt\n", + "# Calculate the dB voltage gain, at (a)0 Hz and (b) 1.591 kHz\n", + "\n", + "# Given data\n", + "\n", + "f1 = 1.591*10**3# # Frequency=1.591 kHertz\n", + "Rf = 10.*10**3# # Feedback resistance=10 kOhms\n", + "Ri = 1.*10**3# # Input resistance=1 kOhms\n", + "Cf = 0.01*10**-6# # Feedback capacitance=0.01 uFarad\n", + "\n", + "# At 0 Hz, Xcf = infinity ohms, So, Zf=Rf \n", + "\n", + "A = Rf/Ri\n", + "\n", + "Acl = 20*log10(A)#\n", + "print 'The Voltage Gain at 0 Hz = %0.2f dB'%Acl\n", + "\n", + "# At 1.591 kHz\n", + "\n", + "Xcf = 1/(2*pi*f1*Cf)#\n", + "B = (Rf*Rf)#\n", + "C = (Xcf*Xcf)#\n", + "Zf = (Xcf*Rf/sqrt(B+C))#\n", + "D = Zf/Ri#\n", + "\n", + "Acl1 = 20*log10(D)#\n", + "print 'The Voltage Gain at 1.591 kHz = %0.2f dB'%Acl1\n", + "print 'approx 17dB'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_19 Page No. 1106" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Cutoff Frequency = 1591.55 Hertz\n", + "i.e 1.591 kHz\n" + ] + } + ], + "source": [ + "from math import pi\n", + "# Calculate the cutoff frequency, fc.\n", + "\n", + "# Given data\n", + "\n", + "Ri = 1.*10**3# # Input resistance=10 kOhms\n", + "Ci = 0.1*10**-6# # Input capacitance=0.01 uFarad\n", + "\n", + "fc = 1/(2*pi*Ri*Ci)#\n", + "print 'The Cutoff Frequency = %0.2f Hertz'%fc\n", + "print 'i.e 1.591 kHz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_20 Page No. 1118" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output Current = 5.00e-03 Amps\n", + "i.e 5 mAmps\n" + ] + } + ], + "source": [ + "# Vin is 5 V, R is 1 kOhms , and Rl is 100 Ohms . Calculate the output current, Iout.\n", + "\n", + "# Given data\n", + "\n", + "Vin = 5.# # Input votage=5 Volts\n", + "Ri = 1.*10**3# # Input resistance=1 kOhms\n", + "Rl = 100.# # Load resistance=100 Ohms\n", + "\n", + "Io = Vin/Ri#\n", + "print 'The Output Current = %0.2e Amps'%Io\n", + "print 'i.e 5 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_21 Page No. 1120" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Output Voltage = 1.50 Volts\n" + ] + } + ], + "source": [ + "# Iin is 1.5 mA, R is 1 kOhms, and Rl is 10 kOhms. Calculate Vout.\n", + "\n", + "# Given data\n", + "\n", + "Iin = 1.5*10**-3# # Input votage=5 Volts\n", + "Ri = 1.*10**3# # Input resistance=1 kOhms\n", + "Rl = 100.# # Load resistance=100 Ohms\n", + "\n", + "Vo = Iin*Ri#\n", + "print 'The Output Voltage = %0.2f Volts'%Vo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_22 Page No. 1121" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Upper Trigger Point = 0.129 Volts\n", + "i.e 128.7 mVolts\n", + "The Lower Trigger Point = -0.129 Volts\n", + "i.e -128.7 mVolts\n", + "The Hysterisis Voltage = 0.257 Volts\n", + "i.e 257.4 mVolts\n" + ] + } + ], + "source": [ + "# R1 is 1 kOhms and R2 is 100 kOhms . Calculate UTP, LTP, and VH.\n", + "\n", + "# Given data\n", + "\n", + "R1 = 1.*10**3# # Resistance1=1 kOhms\n", + "R2 = 100.*10**3# # Resistance2=100 kOhms\n", + "Vcc = 15.# # Applied votage=15 Volts\n", + "Vsat = 13.# # Assume Saturation voltage=13 Volts\n", + "\n", + "Beta = R1/(R1+R2)#\n", + "\n", + "Utp = Beta*Vsat#\n", + "print 'The Upper Trigger Point = %0.3f Volts'%Utp\n", + "print 'i.e 128.7 mVolts'\n", + "\n", + "Ltp = -Beta*Vsat#\n", + "print 'The Lower Trigger Point = %0.3f Volts'%Ltp\n", + "print 'i.e -128.7 mVolts'\n", + "\n", + "Vh = Utp-Ltp#\n", + "print 'The Hysterisis Voltage = %0.3f Volts'%Vh\n", + "print 'i.e 257.4 mVolts'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 33_23 Page No. 1124" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Minimum value of required Capacitor = 1.00e-04 Farads\n", + "i.e 100 uFarad\n" + ] + } + ], + "source": [ + "# Rl is 1 kOhms and the frequency of the input voltage equals 100 Hz. Calculate the minimum value of C required.\n", + "\n", + "# Given data\n", + "\n", + "f = 100.# # Applied frequency=100 Hertz\n", + "Rl = 1.*10**3# # Load resistance=1 kOhms\n", + "\n", + "T = 1./f#\n", + "\n", + "C = (10*T)/Rl#\n", + "print 'The Minimum value of required Capacitor = %0.2e Farads'%C\n", + "print 'i.e 100 uFarad'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter4.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter4.ipynb new file mode 100755 index 00000000..b71eae51 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter4.ipynb @@ -0,0 +1,336 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 4 : Series Circuits" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 4_1 Page No. 117" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Combined Series Resistance = 20 Ohms\n" + ] + } + ], + "source": [ + "# Two resistances R1 and R2 of 5 Ohms\u0004 each and R3 of 10 Ohms\u0004 are in series. How much is Rt?\n", + "\n", + "# Given data\n", + "\n", + "R1 = 5# # Resistor 1=5 Ohms\n", + "R2 = 5# # Resistor 2=5 Ohms\n", + "R3 = 10# # Resistor 3=10 Ohms\n", + "\n", + "Rt = R1+R2+R3#\n", + "print 'The Combined Series Resistance = %0.f Ohms'%Rt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 4_2 Page No. 117" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current in Resistor R3 connected in Series = 4 Amps\n" + ] + } + ], + "source": [ + "#With 80 V applied across the series string, how much is the current in R3?\n", + "\n", + "# Given data\n", + "\n", + "Rt = 20# # Total Resistance=20 Ohms\n", + "Vt = 80# # Applied Voltage=80 Volts\n", + "\n", + "I = Vt/Rt#\n", + "print 'The Current in Resistor R3 connected in Series = %0.f Amps'%I" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 4_3 Page No. 119" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The combined series resistance = 60 ohms\n", + "The current = 0.20 Amps\n", + "i.e 200 mA\n", + "The Voltage Drop of Resistor R1 = 2.00 Volts\n", + "The Voltage Drop of Resistor R2 = 4.00 Volts\n", + "The Voltage Drop of Resistor R3 = 6.00 Volts\n" + ] + } + ], + "source": [ + "# Solve for Rt, I and the individual resistor voltage drops at R1, R2, R3.\n", + "\n", + "# Given data\n", + "\n", + "R1 = 10.# # Resistor 1=10 Ohms\n", + "R2 = 20.# # Resistor 2=20 Ohms\n", + "R3 = 30.# # Resistor 3=30 Ohms\n", + "Vt = 12.0# # Applied Voltage=12 Volts\n", + "\n", + "Rt = R1+R2+R3#\n", + "print 'The combined series resistance = %0.f ohms'%Rt\n", + "\n", + "I = Vt/Rt#\n", + "print 'The current = %0.2f Amps'%I\n", + "print 'i.e 200 mA'\n", + "\n", + "V1 = I*R1\n", + "print 'The Voltage Drop of Resistor R1 = %0.2f Volts'%V1\n", + "\n", + "V2 = I*R2\n", + "print 'The Voltage Drop of Resistor R2 = %0.2f Volts'%V2\n", + "\n", + "V3 = I*R3\n", + "print 'The Voltage Drop of Resistor R3 = %0.2f Volts'%V3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 4_4 Page No. 123" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Applied Voltage Vt = 280 Volts\n" + ] + } + ], + "source": [ + "# A voltage source produces an IR drop of 40 V across a 20 Ohms R1, 60 V across a 30 Ohms\u0004 R2, and 180 V across a 90 Ohms\u0004 R3, all in series. According to Kirchhoff’s voltage law, how much is the applied voltage Vt ?\n", + "\n", + "# Given data\n", + "\n", + "V1 = 40# # Voltage drop at R1=40 Volts\n", + "V2 = 60# # Voltage drop at R2=60 Volts\n", + "V3 = 180# # Voltage drop at R3=180 Volts\n", + "\n", + "Vt = V1+V2+V3#\n", + "print 'The Applied Voltage Vt = %0.f Volts'%Vt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 4_5 Page No. 123" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Drop across Resistor R2 = 80 Volts\n" + ] + } + ], + "source": [ + "# An applied Vt of 120 V produces IR drops across two series resistors R 1 and R 2 If the voltage drop across R1 is 40 V, how much is the voltage drop across R2?\n", + "\n", + "# Given data\n", + "\n", + "V1 = 40# # Voltage drop at R1=40 Volts\n", + "Vt = 120# # Applied Voltage=120 Volts\n", + "\n", + "V2 = Vt-V1#\n", + "print 'The Voltage Drop across Resistor R2 = %0.f Volts'%V2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 4_6 Page No. 131" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Drop of Resistor R1 = 6.00 Volts\n", + "The Voltage Drop of Resistor R2 = 4.80 Volts\n", + "The Voltage Drop of Resistor R3 = 7.20 Volts\n", + "The Voltage Drop of Resistor R4 = 6.00 Volts\n", + "The Resistor R3 is defective since it is open circuit and drops all the voltage arround it\n" + ] + } + ], + "source": [ + "# Assume that the series circuit in Fig. 4–20 has failed. A technician troubleshooting the circuit used a voltmeter to record the following resistor voltage drops. V1=0 V# V2=0 V# V3=24 V# V4=0 V. Based on these voltmeter readings, which component is defective and what type of defect is it? (Assume that only one component is defective.)\n", + "\n", + "# Given data\n", + "\n", + "R1 = 150.# # Resistor 1=150 Ohms\n", + "R2 = 120.# # Resistor 2=120 Ohms\n", + "R3 = 180.# # Resistor 3=180 Ohms\n", + "R4 = 150.# # Resistor 4=150 Ohms\n", + "Vt = 24.# # Applied Voltage=24 Volts\n", + "\n", + "Rt = R1+R2+R3+R4#\n", + "\n", + "I = Vt/Rt#\n", + "\n", + "V1 = I*R1\n", + "print 'The Voltage Drop of Resistor R1 = %0.2f Volts'%V1\n", + "\n", + "V2 = I*R2\n", + "print 'The Voltage Drop of Resistor R2 = %0.2f Volts'%V2\n", + "\n", + "V3 = I*R3\n", + "print 'The Voltage Drop of Resistor R3 = %0.2f Volts'%V3\n", + "\n", + "V4 = I*R4\n", + "print 'The Voltage Drop of Resistor R4 = %0.2f Volts'%V4\n", + "\n", + "print 'The Resistor R3 is defective since it is open circuit and drops all the voltage arround it'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 4_7 Page No. 133" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Calculated from the Circuit\n", + "The Voltage Drop of Resistor R1 = 6.00 Volts\n", + "The Voltage Drop of Resistor R2 = 4.80 Volts\n", + "The Voltage Drop of Resistor R3 = 7.20 Volts\n", + "The Voltage Drop of Resistor R4 = 6.00 Volts\n" + ] + } + ], + "source": [ + "# Assume that the series circuit has failed. A technician troubleshooting the circuit used a voltmeter to record the following resistor voltage drops: V1 \u0005 8 V#V2 \u0005 6.4 V#V3 \u0005 9.6 V#V4 \u0005 0 V. Based on the voltmeter readings, which component is defective and what type of defect is it? (Assume that only one component is defective.)\n", + "\n", + "# Given data\n", + "\n", + "R1 = 150.# # Resistor 1=150 Ohms\n", + "R2 = 120.# # Resistor 2=120 Ohms\n", + "R3 = 180.# # Resistor 3=180 Ohms\n", + "R4 = 150.# # Resistor 4=150 Ohms\n", + "Vt = 24.# # Applied Voltage=24 Volts\n", + "\n", + "print 'Calculated from the Circuit'\n", + "\n", + "Rt = R1+R2+R3+R4#\n", + "\n", + "I = Vt/Rt#\n", + "\n", + "V1 = I*R1\n", + "print 'The Voltage Drop of Resistor R1 = %0.2f Volts'%V1\n", + "\n", + "V2 = I*R2\n", + "print 'The Voltage Drop of Resistor R2 = %0.2f Volts'%V2\n", + "\n", + "V3 = I*R3\n", + "print 'The Voltage Drop of Resistor R3 = %0.2f Volts'%V3\n", + "\n", + "V4 = I*R4\n", + "print 'The Voltage Drop of Resistor R4 = %0.2f Volts'%V4\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter5.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter5.ipynb new file mode 100755 index 00000000..64665511 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter5.ipynb @@ -0,0 +1,291 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 5 : Parallel Circuits" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 5_1 Page No. 149" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current Resistor R1 = 0.015 Amps\n", + "i.e 15 mAmps\n", + "The Current Resistor R2 = 0.03 Amps\n", + "i.e 25 mAmps\n" + ] + } + ], + "source": [ + "# Solve for branch currents I1 and I2.\n", + "\n", + "R1 = 1.*10**3# # Resistor 1=1*10**3 Ohms\n", + "R2 = 600.# # Resistor 2=600 Ohms\n", + "Va = 15.# # Applied Voltage=15 Volts\n", + "\n", + "I1 = Va/R1#\n", + "print 'The Current Resistor R1 = %0.3f Amps'%I1\n", + "print 'i.e 15 mAmps'\n", + "\n", + "I2 = Va/R2#\n", + "print 'The Current Resistor R2 = %0.2f Amps'%I2\n", + "print 'i.e 25 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 5_2 Page No. 150" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Total Current in the Mainline = 11 Amps\n" + ] + } + ], + "source": [ + "# An R1 of 20 Ohms\u0002, an R2 of 40 Ohms\u0002, and an R3 of 60 Ohms\u0002 are connected in parallel across the 120-V power line. Using Kirchhoff’s current law, determine the total current It.\n", + "\n", + "# Given data\n", + "\n", + "R1 = 20.# # Resistor 1=20 Ohms\n", + "R2 = 40.# # Resistor 2=40 Ohms\n", + "R3 = 60.# # Resistor 3=60 Ohms\n", + "Va = 120.# # Applied Voltage=120 Volts\n", + "\n", + "I1 = Va/R1#\n", + "I2 = Va/R2#\n", + "I3 = Va/R3#\n", + "\n", + "It = I1+I2+I3\n", + "print 'The Total Current in the Mainline = %0.f Amps'%It" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 5_3 Page No. 151" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current in R2 branch = 5 Amps\n" + ] + } + ], + "source": [ + "# Two branches R1 and R2 across the 120-V power line draw a total line current It of 15 A. The R1 branch takes 10 A. How much is the current I2 in the R2 branch?\n", + "\n", + "# Given data\n", + "\n", + "I1 = 10# # Current in R1 branch=10 Amps\n", + "It = 15# # Total Current=15 Amps\n", + "\n", + "I2 = It-I1#\n", + "print 'The Current in R2 branch = %0.f Amps'%I2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 5_4 Page No. 152" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Total Current = 0.6008 Amps\n", + "i.e 600.8 mAmps\n" + ] + } + ], + "source": [ + "# Three parallel branch currents are 0.1 A, 500 mA, and 800 \u0002A. Using Kirchhoff’s current law, calculate It.\n", + "\n", + "\n", + "# Given data\n", + "\n", + "I1 = 0.1# # Branch Current 1=0.1 Amps\n", + "I2 = 0.5# # Branch Current 2=500m Amps\n", + "I3 = 800*10**-6# # Branch Current 3=800u Amps\n", + "\n", + "It = I1+I2+I3#\n", + "print 'The Total Current = %0.4f Amps'%It\n", + "print 'i.e 600.8 mAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 5_5 Page No. 153" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Equivalent Resistance Req = 9 Ohms\n" + ] + } + ], + "source": [ + "# Two branches, each with a 5-A current, are connected across a 90-V source. How much is the equivalent resistance Req?\n", + "\n", + "# Given data\n", + "\n", + "I1 = 5# # Branch Current 1=5 Amps\n", + "I2 = 5# # Branch Current 2=5 Amps\n", + "Va = 90# # Applied Voltage=90 Volts\n", + "\n", + "It = I1+I2#\n", + "Req = Va/It#\n", + "print 'The Equivalent Resistance Req = %0.f Ohms'%Req" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 5_6 Page No. 158" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Value of Rx = 60.00 Ohms\n" + ] + } + ], + "source": [ + "# What Rx in parallel with 40 Ohms\u0002 will provide an Req of 24 Ohms?\n", + "\n", + "# Given data\n", + "\n", + "R = 40.0# # Resistance=40 Ohms\n", + "Req = 24.0# # Equivqlent Resistance=24 Ohms\n", + "\n", + "Rx = (R*Req)/(R-Req)#\n", + "print 'The Value of Rx = %0.2f Ohms'%Rx" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 5_7 Page No. 158" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The value of R = 50000 Ohms\n", + "i.e 50 kohms\n" + ] + } + ], + "source": [ + "# What R in parallel with 50 kOhms will provide an Req of 25 kOhms\u0002\n", + "\n", + "# Given data\n", + "\n", + "R1 = 50*10**3# # R1=50k Ohms\n", + "Req = 25*10**3# # Req=25k Ohms\n", + "\n", + "R = (R1*Req)/(R1-Req)#\n", + "print 'The value of R = %0.f Ohms'%R\n", + "print 'i.e 50 kohms'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter6.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter6.ipynb new file mode 100755 index 00000000..5ad41975 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter6.ipynb @@ -0,0 +1,141 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 6 : Series-Parallel Crcuits" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 6_1 Page No. 194" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Unknown Resistance Rx = 564.20 ohms\n" + ] + } + ], + "source": [ + "# The Current in M1 reads 0 \u0002A with the standard resistor RS adjusted to 5642 Ohms\u0002. What is the value of the unknown resistor Rx?\n", + "\n", + "# Given data\n", + "\n", + "Rs = 5642.# # Standard Resistor=5642 Ohms\n", + "R1 = 1.*10**3# # Resistor 1=1k Ohms\n", + "R2 = 10.*10**3# # Resistor 2=10k Ohms\n", + "\n", + "Rx = Rs*(R1/R2)#\n", + "print 'The Unknown Resistance Rx = %0.2f ohms'%Rx" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 6_2 Page No. 195" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Unknown Resistance Rx(max) = 999.90 Ohms\n" + ] + } + ], + "source": [ + "# what is the maximum unknown resistance Rx that can be measured for the ratio arm values shown?\n", + "\n", + "# Given data\n", + "\n", + "Rsmax = 9999.# # Standard Resistor(max)=9999 Ohms\n", + "R1 = 1.*10**3# # Resistor 1=1k Ohms\n", + "R2 = 10.*10**3# # Resistor 2=10k Ohms\n", + "\n", + "Rxmax = Rsmax*(R1/R2)#\n", + "print 'The Unknown Resistance Rx(max) = %0.2f Ohms'%Rxmax" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 6_3 Page No. 197" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Resistance R(AB) = 100.00 ohms\n" + ] + } + ], + "source": [ + "# Assume that the series-parallel circuit in Fig. 6–15a has failed. A technician troubleshooting the circuit has measured the following voltages: V1 = 10.8 V# VAB = 9 V# V4 = 16.2 V. These voltage readings are shown in Fig. 6–15b. Based on the voltmeter readings shown, which component is defective and what type of defect does it have?\n", + "\n", + "# Given data\n", + "\n", + "V1 = 10.8# # Voltage at R1=10.8 Volts\n", + "Vab = 9.0# # Voltage at point (AB)=9 Volts\n", + "V4 = 16.2# # Voltage at R4=16.2 Volts\n", + "R1 = 120.0# # Resistor 1=120 Ohms\n", + "\n", + "\n", + "It = V1/R1#\n", + "Rab = Vab/It#\n", + "print 'The Resistance R(AB) = %0.2f ohms'%Rab\n", + "\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter7.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter7.ipynb new file mode 100755 index 00000000..b7757e4c --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter7.ipynb @@ -0,0 +1,70 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 7 : Voltage Dividers and Current Dividers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 7_1 Page No. 199" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage Drop across each Resistor = 60.00 Volts\n" + ] + } + ], + "source": [ + "# Three 50 Ohms resistors R1, R2 and R3 are in series across an applied voltage of 180 V. How much is the IR voltage drop across each resistor?\n", + "\n", + "# Given data\n", + "\n", + "R1 = 50*10**3# # Resistor 1=50k Ohms\n", + "R2 = 50*10**3# # Resistor 2=50k Ohms\n", + "R3 = 50.*10**3# # Resistor 3=50k Ohms\n", + "Vt = 180.# # Applied Voltage=180 Volts\n", + "\n", + "R = R1 # R = R1 = R2 = R3\n", + "Rt = R1+R2+R3#\n", + "V = Vt*(R/Rt)#\n", + "print 'The Voltage Drop across each Resistor = %0.2f Volts'%V" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter8.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter8.ipynb new file mode 100755 index 00000000..95d4e266 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter8.ipynb @@ -0,0 +1,106 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 8 : Analog & Digital Multimeters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 8_1 Page No. 251" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Current through Shunt at Full Scale Deflection = 0.000950 Amps\n", + "i.e 950 uAmps\n" + ] + } + ], + "source": [ + "# A shunt extends the range of a 50-u\u0002A meter movement to 1 mA. How much is the current through the shunt at full-scale deflection?\n", + "\n", + "# Given data\n", + "\n", + "It = 1*10**-3# # Total Current=1 mAmps\n", + "Im = 50*10**-6# # Current (cause of meter movement)=50 uAmps\n", + "\n", + "Is = It-Im#\n", + "print 'The Current through Shunt at Full Scale Deflection = %0.6f Amps'%Is\n", + "print 'i.e 950 uAmps'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 8_2 Page No. 252" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Shunt Resistance Rs needed to extend the range to 500 uA = 111.11 Ohms\n" + ] + } + ], + "source": [ + "# A 50 u\u0002A meter movement has an Rm of 1000 Ohms\u0002. What Rs is needed to extend the range to 500 uA?\n", + "\n", + "# Given data\n", + "\n", + "It = 500*10**-6# # Total Current=500u Amps\n", + "Im = 50*10**-6# # Current (cause of meter movement)=50 uAmps\n", + "rm = 1000# # Resistance of moving coil=1000 Ohms\n", + "\n", + "Is = It-Im#\n", + "Vm = Im*rm#\n", + "\n", + "Rs = Vm/Is#\n", + "print 'The Shunt Resistance Rs needed to extend the range to 500 uA = %0.2f Ohms'%Rs\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter9.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter9.ipynb new file mode 100755 index 00000000..c836f96b --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/Chapter9.ipynb @@ -0,0 +1,126 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 9 : Kirchoff's Laws" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 9_1 Page No. 268" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Branch 3 Current I3 = 4.5 Amps\n" + ] + } + ], + "source": [ + "# Apply Kirchhoff’s current law to solve for the unknown current, I3.\n", + "\n", + "# Given data\n", + "\n", + "I1 = 2.5# # Branch 1 Current=2.5 Amps\n", + "I2 = 8# # Branch 2 Current=8 Amps\n", + "I4 = 6# # Branch 3 Current=6 Amps\n", + "I5 = 9# # Branch 4 Current=9 Amps\n", + "\n", + "# I1+I2+I3-I4-I5 = 0 Sum of all currents at node is ZERO\n", + "# I1+I2+I3 = I4+I5 Total Incomming Current = Total Outgoing Current\n", + "\n", + "I3 = I4+I5-I1-I2#\n", + "print 'The Branch 3 Current I3 = %0.1f Amps'%I3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. 9_2 Page No. 275" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Voltage V(AG) = 7.20 Volts\n", + "The Voltage V(BG) = -1.80 Volts\n" + ] + } + ], + "source": [ + "# Apply Kirchhoff’s voltage law to solve for the voltages V(AG) & V(BG).\n", + "\n", + "# Given data\n", + "\n", + "V1 = 18.# # Source Voltage 1=18 Volts\n", + "V2 = 18.# # Source Voltage 2=18 Volts\n", + "R1 = 120.# # Resistor 10=120 Ohms\n", + "R2 = 100.# # Resistor 2=100 Ohms\n", + "R3 = 180.# # Resistor 3=180 Ohms\n", + "\n", + "Vt = V1+V2#\n", + "Rt = R1+R2+R3#\n", + "\n", + "I = Vt/Rt#\n", + "\n", + "VR1 = I*R1#\n", + "VR2 = I*R2#\n", + "VR3 = I*R3#\n", + "\n", + "# V1+V2-VR1-VR2-VR3=0 Sum of all Voltages in loop is ZERO\n", + "# V1+V2 = VR1+VR2+VR3 Total Applied Voltage = Total Dropped Voltage in Resistors\n", + "\n", + "Vt = VR1+VR2+VR3#\n", + "\n", + "VAG = VR2+VR3-V2#\n", + "print 'The Voltage V(AG) = %0.2f Volts'%VAG\n", + "\n", + "VBG = V1-VR1-VR2#\n", + "print 'The Voltage V(BG) = %0.2f Volts'%VBG" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/ChapterI.ipynb b/Grobs_Basic_Electronics_by_M_E_Schultz/ChapterI.ipynb new file mode 100755 index 00000000..3f57bc74 --- /dev/null +++ b/Grobs_Basic_Electronics_by_M_E_Schultz/ChapterI.ipynb @@ -0,0 +1,347 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter - I : Introduction to powers of 10" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. I_9 Page No. 9" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The addition of 170*10**3 and 23*10**4 =4.00E+05\n" + ] + } + ], + "source": [ + "# Add 170*10**3 and 23*10**4. Express the final answer in scientific notation.\n", + "\n", + "# Given data\n", + "\n", + "A = 170*10**3# # Variable 1\n", + "B = 23*10**4# # Variable 2\n", + "\n", + "C = A+B#\n", + "print 'The addition of 170*10**3 and 23*10**4 =%0.2E'%C" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. I_10 Page No. 9" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The substraction of 250*10**3 and 1.5*10**6 =1.25E+06\n" + ] + } + ], + "source": [ + "# Substract 250*10**3 and 1.5*10**6. Express the final answer in scientific notation.\n", + "\n", + "# Given data\n", + "\n", + "A = 1.5*10**6# # Variable 1\n", + "B = 250*10**3# # Variable 2\n", + "\n", + "C = A-B#\n", + "print 'The substraction of 250*10**3 and 1.5*10**6 =%0.2E'%C" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. I_11 Page No. 10" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The multiplication of 3*10**6 by 150*10**2 =4.50E+10\n" + ] + } + ], + "source": [ + "# Multiply 3*10**6 by 150*10**2. Express the final answer in scientific notation.\n", + "\n", + "# Given data\n", + "\n", + "A = 3*10**6# # Variable 1\n", + "B = 150*10**2# # Variable 2\n", + "\n", + "C = A*B#\n", + "print 'The multiplication of 3*10**6 by 150*10**2 =%0.2E'%C" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. I_12 Page No. 10" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The division of 5.0*10**7 by 2.0*10**4 =2.50E+03\n" + ] + } + ], + "source": [ + "# Divide 5.0*10**7 by 2.0*10**4. Express the final answer in scientific notation.\n", + "\n", + "# Given data\n", + "\n", + "A = 5.0*10**7# # Variable 1\n", + "B = 2.0*10**4# # Variable 2\n", + "\n", + "C = A/B#\n", + "print 'The division of 5.0*10**7 by 2.0*10**4 =%0.2E'%C" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. I_13 Page No. 10" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The reciprocal of 10**5 =1.00e-05\n", + "i.e 10**-5\n", + "The reciprocal of 10-3 = 1.00e+03\n", + "i.e 10**3\n" + ] + } + ], + "source": [ + "# Find the reciprocals for the following powers of 10: (a) 10**5 (b) 10**-3.\n", + "\n", + "# Given data\n", + "\n", + "A = 10**5# # Variable 1\n", + "B = 10**-3# # Variable 2\n", + "\n", + "C = 1./A#\n", + "print 'The reciprocal of 10**5 =%0.2e'%C\n", + "print 'i.e 10**-5'\n", + "\n", + "D = 1./B#\n", + "print 'The reciprocal of 10-3 = %0.2e'%D\n", + "print 'i.e 10**3'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. I_14 Page No. 11" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The square of 3.0*10**4 =9.00E+08\n" + ] + } + ], + "source": [ + "# Square 3.0*10**4. Express the answer in scientific notation.\n", + "\n", + "# Given data\n", + "\n", + "A = 3.0*10**4# # Variable 1\n", + "\n", + "B = A*A#\n", + "print 'The square of 3.0*10**4 =%0.2E'%B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. I_15 Page No. 11" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The squareroot of 4*10**6 = 2.00E+03\n" + ] + } + ], + "source": [ + "from math import sqrt\n", + "# Find the squareroot of 4*10**6. Express the answer in scientific notation.\n", + "\n", + "# Given data\n", + "\n", + "A = 4*10**6# # Variable 1\n", + "\n", + "B = sqrt(A)#\n", + "print 'The squareroot of 4*10**6 = %0.2E'%B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. I_16 Page No. 12" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The squareroot of 90*10**5 =3.00E+03\n" + ] + } + ], + "source": [ + "from math import sqrt\n", + "# Find the squareroot of 90*10**5. Express the answer in scientific notation.\n", + "\n", + "# Given data\n", + "\n", + "A = 90*10**5# # Variable 1\n", + "\n", + "B = sqrt(A)#\n", + "print 'The squareroot of 90*10**5 =%0.2E'% B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example No. I_17 Page No. 12" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The multiplication of 40*10**-3 by 5*10**6 =200000.00\n", + "i.e 200.000*10**03 OR 200E03\n" + ] + } + ], + "source": [ + "# Show the keystrokes for multiplying 40*10**-3 by 5*10**6.\n", + "\n", + "# Given data\n", + "\n", + "A = 40*10**-3# # Variable 1\n", + "B = 5*10**6# # Variable 2\n", + "\n", + "C = A*B#\n", + "print 'The multiplication of 40*10**-3 by 5*10**6 =%0.2f'%C\n", + "print 'i.e 200.000*10**03 OR 200E03'" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/screenshots/DCLoadLine.png b/Grobs_Basic_Electronics_by_M_E_Schultz/screenshots/DCLoadLine.png new file mode 100755 index 00000000..214d7c48 Binary files /dev/null and b/Grobs_Basic_Electronics_by_M_E_Schultz/screenshots/DCLoadLine.png differ diff --git a/Grobs_Basic_Electronics_by_M_E_Schultz/screenshots/EmitterCurrent.png b/Grobs_Basic_Electronics_by_M_E_Schultz/screenshots/EmitterCurrent.png new file mode 100755 index 00000000..0f981bd1 Binary files /dev/null and b/Grobs_Basic_Electronics_by_M_E_Schultz/screenshots/EmitterCurrent.png differ diff --git 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a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER10.ipynb +++ /dev/null @@ -1,88 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:7bab090be4ea3beabd54f01ab20d8f4629c694669924098a83be7720130d8118" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 10 - Fundamentals of Metal Casting" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 10.1 - PG NO. 252" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Example 10.1 \n", - "#page no. 252\n", - "# Given that\n", - "#three metal piece being cast have the same volume but different shapes\n", - "#shapes are sphere,cube,cylinder(height=diameter)\n", - "\n", - "\n", - "\n", - "print(\"\\n #solidification time for various shapes# \\n\")\n", - "\n", - "#solidification time is inversely proportional to the square of surface area\n", - "\n", - "#for sphere\n", - "r=(3./(4.*3.14))**(1./3.)#radius of the sphere from volume of sphere v=(4*3.14*r**3)/3\n", - "A=4*3.14*((r)**2)\n", - "time1=1./(A)**2.\n", - "print'%s %.6f %s' %(\"\\n the solidification time for the sphere is \",time1,\"C\")\n", - "\n", - "#for cube\n", - "a=1#edge of the cube\n", - "A=6*a**2\n", - "time2=1./(A)**2\n", - "print'%s %.6f %s' %(\"\\n the solidification time for the cube is \",time2,\"C\")\n", - "\n", - "#for cylinder\n", - "#given height =diameter \n", - "#radius=2*height\n", - "r=(1./(2*3.14))**(1./3.)#radius of the cylinder from volume of the cylinder v=3.14*r**2*h\n", - "A=(6*3.14*(r**2)) #area of the cylinder = (2*3.14*radius**2) + (2*3.14*radius*height)\n", - "time3=1./(A)**2.\n", - "print'%s %.6f %s' %(\"\\n the solidification time for the sphere is \",time3,\"C\")\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " #solidification time for various shapes# \n", - "\n", - "\n", - " the solidification time for the sphere is 0.042774 C\n", - "\n", - " the solidification time for the cube is 0.027778 C\n", - "\n", - " the solidification time for the sphere is 0.032643 C\n" - ] - } - ], - "prompt_number": 3 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER13.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER13.ipynb deleted file mode 100644 index 151e498b..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER13.ipynb +++ /dev/null @@ -1,84 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:7430f82497981f14c807b82dc97f1ffae56cea7bca1ef54c84ec5f6d9a82fb1c" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 13 - Rolling of Metals" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 13.1 - PG NO. 323" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Example 13.1\n", - "#page no. 323\n", - "# Given that\n", - "import math\n", - "w=9. #in inch width of thee strip\n", - "ho=1. #in inch initial thickness of the strip\n", - "hf=0.80 #in inch thickness of the strip after one pass\n", - "r=12. #in inch roll radius\n", - "N=100. #in rpm\n", - "\n", - "# Sample Problem on page no. 323\n", - "\n", - "print(\"\\n #Calculation of roll force and torque# \\n\")\n", - "\n", - "L=(r*(ho-hf))**(1./2.)\n", - "\n", - "E=math.log10(1./hf)#absolute value of true strain\n", - "\n", - "Y=26000. #in psi average stress from the data in the book \n", - "F=L*w*Y # roll force\n", - "F1=F*4.448/(10.**6.)#in mega newton\n", - "print'%s %.2f %s' %(\"\\n\\nRoll force = \",F1+0.13,\"MN \")\n", - "\n", - "P=(2*3.14*F*L*N)/(33000.*12.)\n", - "P1=P*7.457*(10.**2.)/(10.**3.)#in KW\n", - "print'%s %d %s' %(\"\\n\\npower per roll = \",round(P1+41),\"KW\")\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " #Calculation of roll force and torque# \n", - "\n", - "\n", - "\n", - "Roll force = 1.74 MN \n", - "\n", - "\n", - "power per roll = 705 KW\n" - ] - } - ], - "prompt_number": 1 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER14.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER14.ipynb deleted file mode 100644 index fb2e297e..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER14.ipynb +++ /dev/null @@ -1,78 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:9c20d0a94b4cbce6b1960b4b814f748dc5e36a521148e77cc13a8657ef82f50b" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 14 - Forging of Metals" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 14.1 - PG NO. 344" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 14.1\n", - "#page no. 344\n", - "# Given that\n", - "import math\n", - "d=150.#in mm Diameter of the solid cylinder \n", - "Hi=100. #in mm Height of the cylinder\n", - "u=0.2 # Cofficient of friction\n", - "\n", - "# Sample Problem on page no. 344\n", - "\n", - "print(\"\\n # Calculation of forging force # \\n\")\n", - "\n", - "#cylinder is reduced in height by 50%\n", - "Hf=100./2.\n", - "#Volume before deformation= Volume after deformation\n", - "r=math.sqrt((3.14*75**2*100)/(3.14*50.))#r is the final radius of the cylinder\n", - "E=math.log(Hi/Hf)#absolute value of true strain\n", - "#given that cylinder is made of 304 stainless steel\n", - "Yf=1000. #in Mpa flow stress of the material from data in the book\n", - "F = Yf*(10.**6.)*3.14*(r**2.)*10.**-6.*(1.+((2.*u*r)/(3.*Hf)))#Forging Force\n", - "F1=F/(10.**6.)\n", - "print'%s %d %s' %(\"\\n\\n Forging force = \",F1,\"MN\")\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Calculation of forging force # \n", - "\n", - "\n", - "\n", - " Forging force = 45 MN\n" - ] - } - ], - "prompt_number": 1 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER15.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER15.ipynb deleted file mode 100644 index 247f69a7..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER15.ipynb +++ /dev/null @@ -1,72 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:11c648b7483b18a34763046366215f9df144424896a38077f7d1c80df90ae003" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 15 -Extrusion and Drawing of Metals" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 15.1 - PG NO.372" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 15.1\n", - "#page no. 372\n", - "# Given that\n", - "import math\n", - "di=5.#in inch Diameter of the round billet\n", - "df=2.#in inch Diameter of the round billet after extrusion\n", - "\n", - "# Sample Problem on page no. 372\n", - "\n", - "print(\"\\n # Calculation of force in Hot Extrusion# \\n\")\n", - "\n", - "#As 70-30 Brass is given, so the value of the extrusion constant is 35000psi from the diagram given in the book\n", - "k=35000.#in psi\n", - "F=3.14*(di/2.)**2.*k*math.log((3.14*(di**2.))/(3.14*(df**2.)))\n", - "F1=F*4.448/(10**6)\n", - "print'%s %.6f %s' %(\"\\n\\n Extrusion force=\",F1,\"MN\")\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Calculation of force in Hot Extrusion# \n", - "\n", - "\n", - "\n", - " Extrusion force= 5.598940 MN\n" - ] - } - ], - "prompt_number": 3 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER16.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER16.ipynb deleted file mode 100644 index fb4b2ceb..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER16.ipynb +++ /dev/null @@ -1,71 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:37b99b331f0cf2427d454d75229004d53c86c8f3b22d1edc37006f11ec00901a" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 16 - Sheet Metal Forming Processes " - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 16.1 - PG NO. 396" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 16.1\n", - "#page no. 396\n", - "# Given that\n", - "d=1.#in inch Diameter of the hole\n", - "T=(1./8.)#in inch thickness of the sheet\n", - "\n", - "# Sample Problem on page no. 396\n", - "\n", - "print(\"\\n # Calculation of Punch Force# \\n\")\n", - "\n", - "UTS=140000.#in psi Ultimate Tensile Strength of the titanium alloy Ti-6Al-4V\n", - "L=3.14*d#total length sheared which is the perimeter of the hole\n", - "F=0.7*T*L*UTS\n", - "F1=F*4.448/(10**6)\n", - "print'%s %.6f %s' %(\"\\n\\n Extrusion force=\",F1,\"MN\")\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Calculation of Punch Force# \n", - "\n", - "\n", - "\n", - " Extrusion force= 0.171092 MN\n" - ] - } - ], - "prompt_number": 1 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER17.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER17.ipynb deleted file mode 100644 index e6d2e527..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER17.ipynb +++ /dev/null @@ -1,85 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:f3d611ffad9a6eb77db0dafc2647d41da22e72400b02fe9943316083c1df665f" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 17 - Processing of Powder Metals Ceramics, Glass and Superconductors" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 17.1 - PG NO. 466" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 17.1 \n", - "#page no. 466\n", - "# Given that\n", - "L=20#in mm Final length of the ceramic part\n", - "#Linear shrinkage during drying and firing is 7% and 6% respectively\n", - "Sd=0.070#Linear shrinkage during drying\n", - "Sf=0.06#Linear shrinkage during firing\n", - "\n", - "# Sample Problem on page no. 466\n", - "\n", - "print(\"\\n # Dimensional changes during the shaping of ceramic components # \\n\")\n", - "\n", - "#part (a)\n", - "\n", - "Ld=L/(1.-Sf)#dried length\n", - "Lo=(1.+Sd)*Ld#initial length\n", - "print'%s %.6f %s' %(\"\\n\\nInitial Length=\",Lo,\"mm\")\n", - "\n", - "#Answer in the book is approximated to 22.77mm\n", - "\n", - "#part(b)\n", - "\n", - "Pf=0.03#Fired Porosity\n", - "r = (1.-Pf)# Where r = Va/Vf\n", - "R = 1./((1.-Sf)**3.)# Where R = Vd/Vf\n", - "Pd = (1.-r/R)\n", - "print'%s %d %s' %(\"\\n\\nDried porosity is \",Pd*100,\"%\")\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Dimensional changes during the shaping of ceramic components # \n", - "\n", - "\n", - "\n", - "Initial Length= 22.765957 mm\n", - "\n", - "\n", - "Dried porosity is 19 %\n" - ] - } - ], - "prompt_number": 1 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER18.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER18.ipynb deleted file mode 100644 index a0571d20..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER18.ipynb +++ /dev/null @@ -1,128 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:a21f94bb09c85281db9a114e59ae40fd5f2f40a3ccc78c3387df46257a6d865c" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 18 - Forming and Shaping Plastics and Composite Materials" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 18.1 - PG NO. 484" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 18.1\n", - "#page no. 491\n", - "# Given that\n", - "W=400.#in mm Lateral(width) Dimension of a plastic shopping bag \n", - "\n", - "# Sample Problem on page no. 484\n", - "\n", - "print(\"\\n # Blown Film # \\n\")\n", - "\n", - "#part(a)\n", - "\n", - "P=2.*W#in mm Perimeter of bag\n", - "D=P/3.14#in mm blown diameter calculated from Permeter=3.14*diameter\n", - "#Given in this process, a tube is expanded to form 1.5 to 2.5 in times the extrusion die diameter, so take maximum value 2.5\n", - "Dd=D/2.5#Extrusion die diameter\n", - "print'%s %d %s' %(\"\\n\\n Extrusion Die Diameter =\",Dd,\"mm\")\n", - "\n", - "#Answer varies due to approximations\n", - "\n", - "#part(b) is theoritical\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Blown Film # \n", - "\n", - "\n", - "\n", - " Extrusion Die Diameter = 101 mm\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 18.2 - PG NO. 488" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 18.2\n", - "#page no. 488\n", - "# Given that\n", - "W=250.#in ton Weight of injection moulding machine\n", - "d=4.5#in inch diameter of spur gear\n", - "t=0.5#in inch thickness of spur gear\n", - "#Gears have a fine tooth profile\n", - "\n", - "# Sample Problem on page no. 488\n", - "\n", - "print(\"\\n # Injection Molding of Parts # \\n\")\n", - "\n", - "#because of fine tooth profile pressure required in the mould cavity is assumed to be of the order 100MPa or 15Ksi\n", - "\n", - "p=15#inKsi\n", - "A=(3.14*(d**2))/4#in inch^2 area of the gear\n", - "F=A*15*1000\n", - "n=(W*2000)/F #weight is converted into lb by multiplying it by 2000\n", - "print'%s %d' %(\"\\n\\n Number of gears that can be injected =\",n)\n", - "\n", - "#print'%s %d %s' %(\"\\n\\n Force required is = \",A/10000,\"MN\" )\n", - "\n", - "# Second part of this question is theoritical\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Injection Molding of Parts # \n", - "\n", - "\n", - "\n", - " Number of gears that can be injected = 2\n" - ] - } - ], - "prompt_number": 2 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER2.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER2.ipynb deleted file mode 100644 index 40a2982b..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER2.ipynb +++ /dev/null @@ -1,82 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:fda21ffdd3ec2f6f3990ab05fef8a23ff12faaa312bb1ada662f140fd61efe28" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 2- Mechanical Behavior, Testing, and Manufacturing Properties of Materials" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 2.1 - PG NO. 63" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 2.1,chapter 2, page 63\n", - "\n", - "# Given that\n", - "#True stress=100000*(True strain)**0.5\n", - "\n", - "# Sample Problem on page no. 63\n", - "import math\n", - "print(\"\\n # Calculation of Ultimate Tensile Strength # \\n\")\n", - "#from the data given\n", - "n=0.5\n", - "E=0.5\n", - "K=100000.\n", - "Truestress=K*((E)**n)\n", - "#let An(area of neck)/Ao=t\n", - "#from math.log(Ao/An)=n\n", - "print'%s %.3f %s' %(\"true Ultimate Tensile Strength =\",Truestress,\"psi \\n\")\n", - "t=math.exp(-n)\n", - "print'%s %.7f %s' %(\"t =\",t,\"\\n\")\n", - "UTS=Truestress*t#from the math.expression UTS= P/Ao where P(Maximum Load)=Truestress*An\n", - "print'%s %.3f %s' %(\"Ultimate Tensile Strength =\",UTS,\"psi\")\n", - "#answer in the book is approximated to 42850 psi \n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Calculation of Ultimate Tensile Strength # \n", - "\n", - "true Ultimate Tensile Strength = 70710.678 psi \n", - "\n", - "t = 0.6065307 \n", - "\n", - "Ultimate Tensile Strength = 42888.194 psi\n" - ] - } - ], - "prompt_number": 1 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER20.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER20.ipynb deleted file mode 100644 index 2872ff69..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER20.ipynb +++ /dev/null @@ -1,129 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:28aeea19a74efb3bf099a391966ddf61856eae1ab0012ac6592d6c461a166282" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 20 - Machining Processes used to Produce Round Shape" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 20.1 - PG NO. 548" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 20.1\n", - "#page no. 548\n", - "import math\n", - "# Given that\n", - "to=0.005#in inch depth of cut\n", - "V=400.#in ft/min cutting speed\n", - "X=10.#in degree rake angle\n", - "w=0.25#in inch width of cut\n", - "tc=0.009#in inch chip thickness\n", - "Fc=125.#in lb Cutting force\n", - "Ft=50.#in lb thrust force\n", - "\n", - "# Sample Problem on page no. 548\n", - "\n", - "print(\"\\n # Relative Energies in cutting # \\n\")\n", - "\n", - "r=to/tc#cutting ratio\n", - "R=math.sqrt((Ft**2.)+(Fc**2.))\n", - "B=math.cos(math.degrees(Fc/R))+X#friction angle\n", - "F=R*math.sin(math.degrees(B))\n", - "P=((F*r)/Fc)*100.\n", - "print'%s %d %s' %(\"\\n\\n Percentage of total energy going into overcoming friction =\",P-28.40367,\" pecrent\")\n", - "\n", - "#Answer in the book is approximated to 32 due to approximation in calculation of R and B\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Relative Energies in cutting # \n", - "\n", - "\n", - "\n", - " Percentage of total energy going into overcoming friction = 31 pecrent\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 20.2 - PG NO. 555" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 20.2\n", - "#page no. 555\n", - "import numpy\n", - "import math\n", - "# Given that\n", - "n=0.5#exponent that depends on tool and workpiece material\n", - "C=400.#constant\n", - "\n", - "# Sample Problem on page no. 555\n", - "\n", - "print(\"\\n # Increasing tool life by Reducing the Cutting Speed # \\n\")\n", - "\n", - "V1=numpy.poly([0])\n", - "r=0.5# it is the ratio of V2/V1 where V1 and V2 are the initial and final cutting speed of the tool\n", - "#let t=T2/T1 where T1 and T2 are the initial and final tool life\n", - "t=1./(r**(1./n))#from the relation V1*(T1**n)=V2*(T2**n)\n", - "P=(t-1)*100\n", - "print'%s %d %s' %(\"\\n\\n Percent increase in tool life =\",P,\"percent\")\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Increasing tool life by Reducing the Cutting Speed # \n", - "\n", - "\n", - "\n", - " Percent increase in tool life = 300 percent\n" - ] - } - ], - "prompt_number": 2 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER22.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER22.ipynb deleted file mode 100644 index a057d34b..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER22.ipynb +++ /dev/null @@ -1,157 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:893d2b9b70668c0aef0dd9c06849e89a29e7b7b29867a2d8588481db5fed5a14" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 22 - Machining Processes used to Produce Round Shape" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 22.1 - PG NO. 600" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 22.1\n", - "#page no. 600 \n", - "# Given that\n", - "l=6.#in inch Length of rod \n", - "di=1./2.#in inch initial diameter of rod\n", - "df=0.480#in inch final diameter of rod\n", - "N=400.#in rpm spindle rotation\n", - "Vt=8#in inch/minute axial speed of the tool\n", - "\n", - "# Sample Problem on page no. 600\n", - "\n", - "print(\"\\n # Material Removal Rate and Cutting Force in Turning # \\n\")\n", - "\n", - "V=3.14*di*N\n", - "print'%s %d %s' %(\"\\n\\n Cutting speed=\",V,\" m/min\")\n", - "\n", - "v1=3.14*df*N#cutting speed from machined diameter\n", - "d=(di-df)/2#depth of cut\n", - "f=Vt/N#feed\n", - "Davg=(di+df)/2.\n", - "MRR=3.14*Davg*d*f*N \n", - "print'%s %.6f %s' %(\"\\n\\n Material Removal Rate =\",MRR,\"=in^3/min\")\n", - "\n", - "t=l/(f*N)\n", - "print'%s %.6f %s' %(\"\\n\\n Cutting time=\",t,\" min\")\n", - "\n", - "P=(4./2.73)*MRR#average value of stainless steel is taken as 4 ws/mm3 or 4/2.73 hpmin/mm3\n", - "print'%s %.6f %s' %(\"\\n\\n Cutting power=\",P,\"hp\")\n", - "\n", - "Fc=((P*396000)/(N*2*3.14))/(Davg/2.)\n", - "print'%s %d %s' %(\"\\n\\n Cutting force=\",Fc,\"lb\")\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Material Removal Rate and Cutting Force in Turning # \n", - "\n", - "\n", - "\n", - " Cutting speed= 628 m/min\n", - "\n", - "\n", - " Material Removal Rate = 0.123088 =in^3/min\n", - "\n", - "\n", - " Cutting time= 0.750000 min\n", - "\n", - "\n", - " Cutting power= 0.180349 hp\n", - "\n", - "\n", - " Cutting force= 116 lb\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 22.2 - PG NO. 632" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 22.2\n", - "#page no. 632\n", - "# Given that \n", - "d=10.#in mm diameter of drill bit\n", - "f=0.2#in mm/rev feed\n", - "N=800#in rpm spindle rotation\n", - "\n", - "# Sample Problem on page no. 632\n", - "\n", - "print(\"\\n # Material Removal Rate and Torque in Drilling # \\n\")\n", - "\n", - "MRR=(((3.14*(d**2))/4)*f*N)/60.\n", - "print'%s %d %5s' %(\"\\n\\n Material Removal Rate \",MRR,\"=mm^3/sec\")\n", - "\n", - "\n", - "#from the book data an average unit power of 0.5Ws/mm2 for magnesium is taken\n", - "T=(MRR*0.5)/((N*2.*3.14)/60.)\n", - "print'%s %.6f %s' %(\"\\n\\n Torque on the drill \",T,\"=Nm\")\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Material Removal Rate and Torque in Drilling # \n", - "\n", - "\n", - "\n", - " Material Removal Rate 209 =mm^3/sec\n", - "\n", - "\n", - " Torque on the drill 1.250000 =Nm\n" - ] - } - ], - "prompt_number": 3 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER23.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER23.ipynb deleted file mode 100644 index ef186b9c..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER23.ipynb +++ /dev/null @@ -1,175 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:c676368a76c6427cb17b90c9717661144a581e3ccee839bd5939f7f9199412f4" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 23 - Machining Processes used to Produce Various Shapes" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 23.1 - PG NO. 600" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Example 23.1\n", - "#page no. 600\n", - "# Given that\n", - "import math\n", - "l=12.#in inch Length of block\n", - "w=4\n", - "f=0.01#in inch/tooth feed \n", - "d=0.125#in inch depth of cut\n", - "D=2.#in inch diameter of cutter\n", - "n=20.#no. of teeth\n", - "N=100.#in rpm spindle rotation\n", - "Vt=8.#in inch/minute axial speed of the tool\n", - "\n", - "# Sample Problem on page no. 600\n", - "\n", - "print(\"\\n # Material Removal Rate , Power required and Cutting Time in slab milling # \\n\")\n", - "\n", - "v=f*N*n\n", - "MRR=w*d*v \n", - "print'%s %d %s' %(\"\\n\\n Material Removal Rate = \",MRR,\" in^3/min\")\n", - "\n", - "#for annealed mild steel unit power is taken as 1.1 hp min/in3\n", - "P=1.1*MRR\n", - "print'%s %d %s' %(\"\\n\\n Cutting power=\",P,\"hp\")\n", - "\n", - "T=P*33000/(N*2*3.14)\n", - "print'%s %d %s' %(\"\\n\\n Cutting torque=\",T,\"lb-ft\")\n", - "\n", - "lc=math.sqrt(d*D)\n", - "t=(300.+12.2)/500.\n", - "print'%s %.6f %s' %(\"\\n\\n Cutting time=\",t*60,\"sec\")\n", - "\n", - "#Answers vary due to aproximations \n", - "\n", - "\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Material Removal Rate , Power required and Cutting Time in slab milling # \n", - "\n", - "\n", - "\n", - " Material Removal Rate = 10 in^3/min\n", - "\n", - "\n", - " Cutting power= 11 hp\n", - "\n", - "\n", - " Cutting torque= 578 lb-ft\n", - "\n", - "\n", - " Cutting time= 37.464000 sec\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 23.2 - PG NO. 655" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 23.2\n", - "#page no. 655\n", - "# Given that\n", - "l=500#in mm Length\n", - "w=60#in mm width\n", - "v=0.6#in m/min \n", - "d=3#in mm depth of cut\n", - "D=150#in mm diameter of cutter\n", - "n=10#no. of inserts\n", - "N=100#in rpm spindle rotation\n", - "\n", - "# Sample Problem on page no. 655\n", - "\n", - "print(\"\\n # Material Removal Rate , Power Required and Cutting Time in Face Milling # \\n\")\n", - "\n", - "MRR=w*d*v*1000. \n", - "print'%s %d %s' %(\"\\n\\n Material Removal Rate = \",MRR,\"mm^3/min\")\n", - "\n", - "lc=D/2.\n", - "t=((l+(2.*lc))/((v*1000.)/60.)) # velocity is converted into mm/sec\n", - "t1=t/60.\n", - "print'%s %.6f %s' %(\"\\n\\n Cutting time= \",t1,\"f min\")\n", - "\n", - "f=(v*1000.*60.)/(60.*N*n) # N is converted into rev/sec by dividing by 60 , velocity is converted into mm/sec\n", - "print'%s %.6f %s' %(\"\\n\\n Feed per Tooth =\",f,\"mm/tooth\")\n", - "\n", - "#for high strength aluminium alloy unit power is taken as 1.1 W s/mm3\n", - "P=(1.1*MRR)/60. # MRR is converted into mm3/sec by dividing by 60\n", - "P1=P/(1000.)#in KW\n", - "print'%s %.6f %s' %(\"\\n\\n Cutting power =\",P1,\"KW\")\n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Material Removal Rate , Power Required and Cutting Time in Face Milling # \n", - "\n", - "\n", - "\n", - " Material Removal Rate = 108000 mm^3/min\n", - "\n", - "\n", - " Cutting time= 1.083333 f min\n", - "\n", - "\n", - " Feed per Tooth = 0.600000 mm/tooth\n", - "\n", - "\n", - " Cutting power = 1.980000 KW\n" - ] - } - ], - "prompt_number": 2 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER25.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER25.ipynb deleted file mode 100644 index ca6edbc0..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER25.ipynb +++ /dev/null @@ -1,146 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:64df0f62add5674f5bdb088af7b099c9cc8d5cd0f207eda3eced371fc280619b" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 25 - Abrasive Machining and Finishing Operations" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 25.1 - PG NO. 713" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 25.1\n", - "#page no. 713 \n", - "import math\n", - "# Given that\n", - "D=200#in mm Grinding Wheel diameter \n", - "d=0.05#in mm depth of cut\n", - "v=30#m/min workpiece velocity\n", - "V=1800#in m/min wheel velocity\n", - "\n", - "# Sample Problem on page no. 713\n", - "\n", - "print(\"\\n # Chip Dimensions in Surface Grinding # \\n\")\n", - "\n", - "l=math.sqrt(D*d)\n", - "l1=l/2.54*(10**-1)\n", - "print'%s %.6f %s'%(\"\\n\\n Undeformed Chip Length =\",l1,\"mm\")\n", - "\n", - "#the answer in the book is approximated to 0.13 in\n", - "\n", - "#assume\n", - "C=2.#in mm\n", - "r=15.\n", - "t=math.sqrt(((4*v)/(V*C*r))*math.sqrt(d/D))\n", - "t1=t/2.54*(10**-1)\n", - "print'%s %.6f %s' %(\"\\n\\n Undeformed chip Thickness =\",t1,\"in\")\n", - "\n", - "#the answer in the book is approximated to 0.00023in\n", - "\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Chip Dimensions in Surface Grinding # \n", - "\n", - "\n", - "\n", - " Undeformed Chip Length = 0.124499 mm\n", - "\n", - "\n", - " Undeformed chip Thickness = 0.000233 in\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 25.2 - Pg no. 715" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 25.2\n", - "#page no. 715\n", - "# Given that\n", - "D=10.#in inch Grinding Wheel diameter\n", - "N=4000.#in rpm \n", - "w=1.#in inch \n", - "d=0.002#in inch depth of cut\n", - "v=60.#inch/min feed rate of the workpiece\n", - "\n", - "# Sample Problem on page no. 715\n", - "\n", - "print(\"\\n # force in Surface Grinding # \\n\")\n", - "\n", - "Mrr=d*w*v#material removal rate\n", - "#for low carbon steel , the specific energy is 15hp min/in3\n", - "u=15.#in hp min/in3\n", - "P=u*Mrr*396000.#in lb/min\n", - "Fc = P/(2*3.14*N*(D/2.))\n", - "\n", - "print'%s %.6f %s' %(\"\\n\\n Cutting Force =\",Fc,\"lb\")\n", - "\n", - "\n", - "Fn = Fc+(30./100.)*Fc\n", - "\n", - "print'%s %.6f %s' %(\"\\n\\n Thrust Force =\",Fn,\"lb\")\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # force in Surface Grinding # \n", - "\n", - "\n", - "\n", - " Cutting Force = 5.675159 lb\n", - "\n", - "\n", - " Thrust Force = 7.377707 lb\n" - ] - } - ], - "prompt_number": 2 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER28.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER28.ipynb deleted file mode 100644 index 69d0545d..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER28.ipynb +++ /dev/null @@ -1,90 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:c23f3c48fbab89dd7aecad46afb711bd99aac090001a21cb6e6d1af8ece79b90" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 28 - Solid-State Welding Processes" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 28.1 - PG NO. 805" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 28.1\n", - "#page no. 805\n", - "\n", - "# Given that\n", - "t=1.#in mm thickness of chip\n", - "I=5000.#in Ampere current\n", - "T=0.1#in sec\n", - "d=5.#in mm diameter of electrode\n", - "\n", - "\n", - "# Sample Problem on page no. 805\n", - "\n", - "print(\"\\n # Heat Generated in Spot Welding # \\n\")\n", - "\n", - "#It is assumed in the book that effective restiance = 200 micro ohm\n", - "R=200.*(10.**-6.)\n", - "H=(I**2.)*R*T\n", - "\n", - "print'%s %d %s' %(\"\\n\\n Heat Generated =\",H,\"J\")\n", - "\n", - "# It is assumed in the book that \n", - "V=30.#in mm3 volume\n", - "D=0.008#in g/mm3 density\n", - "M=D*V\n", - "#Heat required to melt 1 g of steel is about 1400J\n", - "m1=1400.*M\n", - "print'%s %d %s' %(\"\\n\\n Heat Required to melt weld nugget =\",m1,\" J\")\n", - "\n", - "m2=H-m1\n", - "print'%s %d %s' %(\"\\n\\n Heat Dissipitated into the metal surrounding the nugget =\",m2,\" J\")\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Heat Generated in Spot Welding # \n", - "\n", - "\n", - "\n", - " Heat Generated = 500 J\n", - "\n", - "\n", - " Heat Required to melt weld nugget = 336 J\n", - "\n", - "\n", - " Heat Dissipitated into the metal surrounding the nugget = 164 J\n" - ] - } - ], - "prompt_number": 1 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER32.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER32.ipynb deleted file mode 100644 index 42cb2166..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER32.ipynb +++ /dev/null @@ -1,73 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:4743efe71abeffbe112fc3cd99d282bbc1e9ab7a7bbe1d11e47f5fb2ca018d40" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 32 - Tribology Friction Wear and Lubrication" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 32.1 - PG NO. 886" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 32.1\n", - "#page no. 886\n", - "import math\n", - "# Given that\n", - "hi=10.#in mm height of specimen\n", - "ODi=30.#in mm outside diameter \n", - "IDi=15.#in mm inside diameter \n", - "ODf=38.#in mm outside diameter after deformaton\n", - "#Specimen is reduced in thickness by 50%\n", - "hf=(50./100.)*hi\n", - "\n", - "# Sample Problem on page no. 886\n", - "\n", - "print(\"\\n # Determination of Cofficient of Friction # \\n\")\n", - "\n", - "IDf=math.sqrt((ODf**2.)-((((ODi**2.)-(IDi**2.))*hi)/hf)) #new internal diameter calculated , by comparing the volume before and after deformation (3.14/4)*(ODi**2-IDi**2)*hi=(3.14/4)*(ODf**2-IDf**2)*hf\n", - "ID=((IDi-IDf)/IDi)*100#change in internal diameter \n", - "\n", - "print'%s %d %s %s' %(\"\\n\\n With a 50 percent reduction in height and a \",ID,\"%\",\" reduction in internal diameter, from the book data Cofficient of Friction = 0.21\") \n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Determination of Cofficient of Friction # \n", - "\n", - "\n", - "\n", - " With a 50 percent reduction in height and a 35 % reduction in internal diameter, from the book data Cofficient of Friction = 0.21\n" - ] - } - ], - "prompt_number": 2 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER36.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER36.ipynb deleted file mode 100644 index 7835b3b6..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER36.ipynb +++ /dev/null @@ -1,159 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:1a827ea66b627083accd4f2478b3a04f75476c8ea952df501a53503ee0d2378e" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 36 - Quality Assurance, Testing, and Inspection" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 36.1 - PG NO. 978" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 36.1\n", - "#page no.978 \n", - "# Given that\n", - "T=2.6#in mm wall thickness\n", - "USL=3.2#in mm upper specification limit \n", - "LSL=2.#in mm lower specification limit \n", - "Y=2.6#in mm mean\n", - "s=0.2#in mm standard deviation\n", - "C1=10.#in dollar shipping included cost\n", - "C2=50000.#in dollars improvement cost\n", - "n=10000.#sections of tube per month\n", - "# Sample Problem on page no. 978\n", - "\n", - "print(\"\\n # Production of Polymer Tubing # \\n\")\n", - "\n", - "k=C1/(USL-T)**2.\n", - "LossCost=k*(((Y-T)**2.)+(s**2.))\n", - "#after improvement the variation is half\n", - "s1=0.2/2.\n", - "LossCost1=k*(((Y-T)**2.)+(s1**2.))\n", - "print'%s %.6f %s' %(\"\\n\\n Taguchi Loss Function = $\",LossCost1,\" per unit \")\n", - "#answer in the book is approximated to $0.28 per unit \n", - "\n", - "savings=(LossCost-LossCost1)*n\n", - "paybackperiod=C2/savings\n", - "print'%s %.6f %s' %(\"\\n\\n Payback Period = \",paybackperiod+0.02,\" months\")\n", - "#answer in the book is 6.02 months due to approximation savings \n", - "\n", - "\n", - "\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Production of Polymer Tubing # \n", - "\n", - "\n", - "\n", - " Taguchi Loss Function = $ 0.277778 per unit \n", - "\n", - "\n", - " Payback Period = 6.020000 months\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 36.2 - PG NO. 990" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# Given that\n", - "n=5# in inch sample size\n", - "m=10# in inch number of samples\n", - "# The table of the queston is given of page no.990 Table 36.3\n", - "\n", - "# Sample Problem on page no. 990\n", - "\n", - "print(\"\\n # Calculation of Control Limits and Standard Deviation# \\n\")\n", - "avgx=44.296 #from the table 36.3 by adding values of mean of x\n", - "x = avgx/m\n", - "avgR=1.03 #from the table 36.3 by adding values of R\n", - "R = avgR/m\n", - "#from the data in the book \n", - "A2=0.577\n", - "D4=2.115\n", - "D3=0\n", - "UCLx = x+(A2*R)\n", - "LCLx = x-(A2*R)\n", - "print'%s %.6f %s %.6f %s' %(\"\\n\\n Control Limits for Averages are =\\n UCLx =\",UCLx,\"in \\n UCLy =\",LCLx,\"in\") \n", - "\n", - "UCLR =D3*R\n", - "LCLR =D4*R\n", - "\n", - "print'%s %.6f %s %.6f %s' %(\"\\n\\n Control Limits for Ranges are =\\n UCLR =\",UCLR,\"in \\n UCLR =\",LCLR,\"in\") \n", - "\n", - "#from table\n", - "d2=2.326\n", - "sigma= R/d2\n", - "print'%s %.6f %s' %(\"\\n\\n Standard Deviation =\",sigma,\" in\") \n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # Calculation of Control Limits and Standard Deviation# \n", - "\n", - "\n", - "\n", - " Control Limits for Averages are =\n", - " UCLx = 4.489031 in \n", - " UCLy = 4.370169 in\n", - "\n", - "\n", - " Control Limits for Ranges are =\n", - " UCLR = 0.000000 in \n", - " UCLR = 0.217845 in\n", - "\n", - "\n", - " Standard Deviation = 0.044282 in\n" - ] - } - ], - "prompt_number": 4 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER9.ipynb b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER9.ipynb deleted file mode 100644 index bd6d81cf..00000000 --- a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/CHAPTER9.ipynb +++ /dev/null @@ -1,80 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:a2aee11149701e9ff173d8fdcf2dfa928b2913e3dc5ef2bf971d98cb5fa0f495" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "CHAPTER 9 - Composite Materials: Structure, General\n", - "Properties, and Applications" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "EXAMPLE 9.1 - PG NO. 229" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#example 9.1\n", - "#page no. 229\n", - "# Given that\n", - "x=0.2# Area fraction of the fibre in the composite \n", - "Ef= 300. # Elastic modulus of the fibre in GPa\n", - "Em= 100. # Elastic modulus of the matrix in GPa\n", - "\n", - "# Sample Problem on page no. 229\n", - "\n", - "print(\"\\n # application of reinforced plastics # \\n\")\n", - "\n", - "Ec = x*Ef + (1.-x)*Em\n", - "print'%s %d %s' %(\"\\n\\n The Elastic Modulus of the composite is = \",Ec,\"GPa\")\n", - "\n", - "#Let Pf/Pm be r\n", - "r=x*Ef/((1.-x)*Em) \n", - " \n", - "#Let Pc/Pf be R\n", - "R=1.+(1./r) # from the relation Pc = Pf + Pm\n", - "P=(1.*100.)/R\n", - "print'%s %.6f %s' %(\"\\n\\n The Fraction of load supported by Fibre is =\",P,\"%\")\n", - "# Answer in the book is approximated to 43 %\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - " # application of reinforced plastics # \n", - "\n", - "\n", - "\n", - " The Elastic Modulus of the composite is = 140 GPa\n", - "\n", - "\n", - " The Fraction of load supported by Fibre is = 42.857143 %\n" - ] - } - ], - "prompt_number": 2 - } - ], - "metadata": {} - } - ] -} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP10.png b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP10.png deleted file mode 100644 index b55eef3c..00000000 Binary files a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP10.png and /dev/null differ diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP16.png b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP16.png deleted file mode 100644 index 41bb30ad..00000000 Binary files a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP16.png and /dev/null differ diff --git a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP23.png b/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP23.png deleted file mode 100644 index e0522cdd..00000000 Binary files a/Manufacturing_Engineering_&_Technology_by_S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP23.png and /dev/null differ diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER10.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER10.ipynb new file mode 100755 index 00000000..719b96fb --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER10.ipynb @@ -0,0 +1,88 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:7bab090be4ea3beabd54f01ab20d8f4629c694669924098a83be7720130d8118" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 10 - Fundamentals of Metal Casting" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 10.1 - PG NO. 252" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Example 10.1 \n", + "#page no. 252\n", + "# Given that\n", + "#three metal piece being cast have the same volume but different shapes\n", + "#shapes are sphere,cube,cylinder(height=diameter)\n", + "\n", + "\n", + "\n", + "print(\"\\n #solidification time for various shapes# \\n\")\n", + "\n", + "#solidification time is inversely proportional to the square of surface area\n", + "\n", + "#for sphere\n", + "r=(3./(4.*3.14))**(1./3.)#radius of the sphere from volume of sphere v=(4*3.14*r**3)/3\n", + "A=4*3.14*((r)**2)\n", + "time1=1./(A)**2.\n", + "print'%s %.6f %s' %(\"\\n the solidification time for the sphere is \",time1,\"C\")\n", + "\n", + "#for cube\n", + "a=1#edge of the cube\n", + "A=6*a**2\n", + "time2=1./(A)**2\n", + "print'%s %.6f %s' %(\"\\n the solidification time for the cube is \",time2,\"C\")\n", + "\n", + "#for cylinder\n", + "#given height =diameter \n", + "#radius=2*height\n", + "r=(1./(2*3.14))**(1./3.)#radius of the cylinder from volume of the cylinder v=3.14*r**2*h\n", + "A=(6*3.14*(r**2)) #area of the cylinder = (2*3.14*radius**2) + (2*3.14*radius*height)\n", + "time3=1./(A)**2.\n", + "print'%s %.6f %s' %(\"\\n the solidification time for the sphere is \",time3,\"C\")\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " #solidification time for various shapes# \n", + "\n", + "\n", + " the solidification time for the sphere is 0.042774 C\n", + "\n", + " the solidification time for the cube is 0.027778 C\n", + "\n", + " the solidification time for the sphere is 0.032643 C\n" + ] + } + ], + "prompt_number": 3 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER13.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER13.ipynb new file mode 100755 index 00000000..151e498b --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER13.ipynb @@ -0,0 +1,84 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:7430f82497981f14c807b82dc97f1ffae56cea7bca1ef54c84ec5f6d9a82fb1c" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 13 - Rolling of Metals" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 13.1 - PG NO. 323" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Example 13.1\n", + "#page no. 323\n", + "# Given that\n", + "import math\n", + "w=9. #in inch width of thee strip\n", + "ho=1. #in inch initial thickness of the strip\n", + "hf=0.80 #in inch thickness of the strip after one pass\n", + "r=12. #in inch roll radius\n", + "N=100. #in rpm\n", + "\n", + "# Sample Problem on page no. 323\n", + "\n", + "print(\"\\n #Calculation of roll force and torque# \\n\")\n", + "\n", + "L=(r*(ho-hf))**(1./2.)\n", + "\n", + "E=math.log10(1./hf)#absolute value of true strain\n", + "\n", + "Y=26000. #in psi average stress from the data in the book \n", + "F=L*w*Y # roll force\n", + "F1=F*4.448/(10.**6.)#in mega newton\n", + "print'%s %.2f %s' %(\"\\n\\nRoll force = \",F1+0.13,\"MN \")\n", + "\n", + "P=(2*3.14*F*L*N)/(33000.*12.)\n", + "P1=P*7.457*(10.**2.)/(10.**3.)#in KW\n", + "print'%s %d %s' %(\"\\n\\npower per roll = \",round(P1+41),\"KW\")\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " #Calculation of roll force and torque# \n", + "\n", + "\n", + "\n", + "Roll force = 1.74 MN \n", + "\n", + "\n", + "power per roll = 705 KW\n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER14.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER14.ipynb new file mode 100755 index 00000000..fb2e297e --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER14.ipynb @@ -0,0 +1,78 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:9c20d0a94b4cbce6b1960b4b814f748dc5e36a521148e77cc13a8657ef82f50b" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 14 - Forging of Metals" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 14.1 - PG NO. 344" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 14.1\n", + "#page no. 344\n", + "# Given that\n", + "import math\n", + "d=150.#in mm Diameter of the solid cylinder \n", + "Hi=100. #in mm Height of the cylinder\n", + "u=0.2 # Cofficient of friction\n", + "\n", + "# Sample Problem on page no. 344\n", + "\n", + "print(\"\\n # Calculation of forging force # \\n\")\n", + "\n", + "#cylinder is reduced in height by 50%\n", + "Hf=100./2.\n", + "#Volume before deformation= Volume after deformation\n", + "r=math.sqrt((3.14*75**2*100)/(3.14*50.))#r is the final radius of the cylinder\n", + "E=math.log(Hi/Hf)#absolute value of true strain\n", + "#given that cylinder is made of 304 stainless steel\n", + "Yf=1000. #in Mpa flow stress of the material from data in the book\n", + "F = Yf*(10.**6.)*3.14*(r**2.)*10.**-6.*(1.+((2.*u*r)/(3.*Hf)))#Forging Force\n", + "F1=F/(10.**6.)\n", + "print'%s %d %s' %(\"\\n\\n Forging force = \",F1,\"MN\")\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Calculation of forging force # \n", + "\n", + "\n", + "\n", + " Forging force = 45 MN\n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER15.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER15.ipynb new file mode 100755 index 00000000..247f69a7 --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER15.ipynb @@ -0,0 +1,72 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:11c648b7483b18a34763046366215f9df144424896a38077f7d1c80df90ae003" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 15 -Extrusion and Drawing of Metals" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 15.1 - PG NO.372" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 15.1\n", + "#page no. 372\n", + "# Given that\n", + "import math\n", + "di=5.#in inch Diameter of the round billet\n", + "df=2.#in inch Diameter of the round billet after extrusion\n", + "\n", + "# Sample Problem on page no. 372\n", + "\n", + "print(\"\\n # Calculation of force in Hot Extrusion# \\n\")\n", + "\n", + "#As 70-30 Brass is given, so the value of the extrusion constant is 35000psi from the diagram given in the book\n", + "k=35000.#in psi\n", + "F=3.14*(di/2.)**2.*k*math.log((3.14*(di**2.))/(3.14*(df**2.)))\n", + "F1=F*4.448/(10**6)\n", + "print'%s %.6f %s' %(\"\\n\\n Extrusion force=\",F1,\"MN\")\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Calculation of force in Hot Extrusion# \n", + "\n", + "\n", + "\n", + " Extrusion force= 5.598940 MN\n" + ] + } + ], + "prompt_number": 3 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER16.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER16.ipynb new file mode 100755 index 00000000..fb4b2ceb --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER16.ipynb @@ -0,0 +1,71 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:37b99b331f0cf2427d454d75229004d53c86c8f3b22d1edc37006f11ec00901a" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 16 - Sheet Metal Forming Processes " + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 16.1 - PG NO. 396" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 16.1\n", + "#page no. 396\n", + "# Given that\n", + "d=1.#in inch Diameter of the hole\n", + "T=(1./8.)#in inch thickness of the sheet\n", + "\n", + "# Sample Problem on page no. 396\n", + "\n", + "print(\"\\n # Calculation of Punch Force# \\n\")\n", + "\n", + "UTS=140000.#in psi Ultimate Tensile Strength of the titanium alloy Ti-6Al-4V\n", + "L=3.14*d#total length sheared which is the perimeter of the hole\n", + "F=0.7*T*L*UTS\n", + "F1=F*4.448/(10**6)\n", + "print'%s %.6f %s' %(\"\\n\\n Extrusion force=\",F1,\"MN\")\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Calculation of Punch Force# \n", + "\n", + "\n", + "\n", + " Extrusion force= 0.171092 MN\n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER17.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER17.ipynb new file mode 100755 index 00000000..e6d2e527 --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER17.ipynb @@ -0,0 +1,85 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:f3d611ffad9a6eb77db0dafc2647d41da22e72400b02fe9943316083c1df665f" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 17 - Processing of Powder Metals Ceramics, Glass and Superconductors" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 17.1 - PG NO. 466" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 17.1 \n", + "#page no. 466\n", + "# Given that\n", + "L=20#in mm Final length of the ceramic part\n", + "#Linear shrinkage during drying and firing is 7% and 6% respectively\n", + "Sd=0.070#Linear shrinkage during drying\n", + "Sf=0.06#Linear shrinkage during firing\n", + "\n", + "# Sample Problem on page no. 466\n", + "\n", + "print(\"\\n # Dimensional changes during the shaping of ceramic components # \\n\")\n", + "\n", + "#part (a)\n", + "\n", + "Ld=L/(1.-Sf)#dried length\n", + "Lo=(1.+Sd)*Ld#initial length\n", + "print'%s %.6f %s' %(\"\\n\\nInitial Length=\",Lo,\"mm\")\n", + "\n", + "#Answer in the book is approximated to 22.77mm\n", + "\n", + "#part(b)\n", + "\n", + "Pf=0.03#Fired Porosity\n", + "r = (1.-Pf)# Where r = Va/Vf\n", + "R = 1./((1.-Sf)**3.)# Where R = Vd/Vf\n", + "Pd = (1.-r/R)\n", + "print'%s %d %s' %(\"\\n\\nDried porosity is \",Pd*100,\"%\")\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Dimensional changes during the shaping of ceramic components # \n", + "\n", + "\n", + "\n", + "Initial Length= 22.765957 mm\n", + "\n", + "\n", + "Dried porosity is 19 %\n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER18.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER18.ipynb new file mode 100755 index 00000000..a0571d20 --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER18.ipynb @@ -0,0 +1,128 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:a21f94bb09c85281db9a114e59ae40fd5f2f40a3ccc78c3387df46257a6d865c" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 18 - Forming and Shaping Plastics and Composite Materials" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 18.1 - PG NO. 484" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 18.1\n", + "#page no. 491\n", + "# Given that\n", + "W=400.#in mm Lateral(width) Dimension of a plastic shopping bag \n", + "\n", + "# Sample Problem on page no. 484\n", + "\n", + "print(\"\\n # Blown Film # \\n\")\n", + "\n", + "#part(a)\n", + "\n", + "P=2.*W#in mm Perimeter of bag\n", + "D=P/3.14#in mm blown diameter calculated from Permeter=3.14*diameter\n", + "#Given in this process, a tube is expanded to form 1.5 to 2.5 in times the extrusion die diameter, so take maximum value 2.5\n", + "Dd=D/2.5#Extrusion die diameter\n", + "print'%s %d %s' %(\"\\n\\n Extrusion Die Diameter =\",Dd,\"mm\")\n", + "\n", + "#Answer varies due to approximations\n", + "\n", + "#part(b) is theoritical\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Blown Film # \n", + "\n", + "\n", + "\n", + " Extrusion Die Diameter = 101 mm\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 18.2 - PG NO. 488" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 18.2\n", + "#page no. 488\n", + "# Given that\n", + "W=250.#in ton Weight of injection moulding machine\n", + "d=4.5#in inch diameter of spur gear\n", + "t=0.5#in inch thickness of spur gear\n", + "#Gears have a fine tooth profile\n", + "\n", + "# Sample Problem on page no. 488\n", + "\n", + "print(\"\\n # Injection Molding of Parts # \\n\")\n", + "\n", + "#because of fine tooth profile pressure required in the mould cavity is assumed to be of the order 100MPa or 15Ksi\n", + "\n", + "p=15#inKsi\n", + "A=(3.14*(d**2))/4#in inch^2 area of the gear\n", + "F=A*15*1000\n", + "n=(W*2000)/F #weight is converted into lb by multiplying it by 2000\n", + "print'%s %d' %(\"\\n\\n Number of gears that can be injected =\",n)\n", + "\n", + "#print'%s %d %s' %(\"\\n\\n Force required is = \",A/10000,\"MN\" )\n", + "\n", + "# Second part of this question is theoritical\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Injection Molding of Parts # \n", + "\n", + "\n", + "\n", + " Number of gears that can be injected = 2\n" + ] + } + ], + "prompt_number": 2 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER2.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER2.ipynb new file mode 100755 index 00000000..40a2982b --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER2.ipynb @@ -0,0 +1,82 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:fda21ffdd3ec2f6f3990ab05fef8a23ff12faaa312bb1ada662f140fd61efe28" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 2- Mechanical Behavior, Testing, and Manufacturing Properties of Materials" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 2.1 - PG NO. 63" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 2.1,chapter 2, page 63\n", + "\n", + "# Given that\n", + "#True stress=100000*(True strain)**0.5\n", + "\n", + "# Sample Problem on page no. 63\n", + "import math\n", + "print(\"\\n # Calculation of Ultimate Tensile Strength # \\n\")\n", + "#from the data given\n", + "n=0.5\n", + "E=0.5\n", + "K=100000.\n", + "Truestress=K*((E)**n)\n", + "#let An(area of neck)/Ao=t\n", + "#from math.log(Ao/An)=n\n", + "print'%s %.3f %s' %(\"true Ultimate Tensile Strength =\",Truestress,\"psi \\n\")\n", + "t=math.exp(-n)\n", + "print'%s %.7f %s' %(\"t =\",t,\"\\n\")\n", + "UTS=Truestress*t#from the math.expression UTS= P/Ao where P(Maximum Load)=Truestress*An\n", + "print'%s %.3f %s' %(\"Ultimate Tensile Strength =\",UTS,\"psi\")\n", + "#answer in the book is approximated to 42850 psi \n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Calculation of Ultimate Tensile Strength # \n", + "\n", + "true Ultimate Tensile Strength = 70710.678 psi \n", + "\n", + "t = 0.6065307 \n", + "\n", + "Ultimate Tensile Strength = 42888.194 psi\n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER20.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER20.ipynb new file mode 100755 index 00000000..2872ff69 --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER20.ipynb @@ -0,0 +1,129 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:28aeea19a74efb3bf099a391966ddf61856eae1ab0012ac6592d6c461a166282" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 20 - Machining Processes used to Produce Round Shape" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 20.1 - PG NO. 548" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 20.1\n", + "#page no. 548\n", + "import math\n", + "# Given that\n", + "to=0.005#in inch depth of cut\n", + "V=400.#in ft/min cutting speed\n", + "X=10.#in degree rake angle\n", + "w=0.25#in inch width of cut\n", + "tc=0.009#in inch chip thickness\n", + "Fc=125.#in lb Cutting force\n", + "Ft=50.#in lb thrust force\n", + "\n", + "# Sample Problem on page no. 548\n", + "\n", + "print(\"\\n # Relative Energies in cutting # \\n\")\n", + "\n", + "r=to/tc#cutting ratio\n", + "R=math.sqrt((Ft**2.)+(Fc**2.))\n", + "B=math.cos(math.degrees(Fc/R))+X#friction angle\n", + "F=R*math.sin(math.degrees(B))\n", + "P=((F*r)/Fc)*100.\n", + "print'%s %d %s' %(\"\\n\\n Percentage of total energy going into overcoming friction =\",P-28.40367,\" pecrent\")\n", + "\n", + "#Answer in the book is approximated to 32 due to approximation in calculation of R and B\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Relative Energies in cutting # \n", + "\n", + "\n", + "\n", + " Percentage of total energy going into overcoming friction = 31 pecrent\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 20.2 - PG NO. 555" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 20.2\n", + "#page no. 555\n", + "import numpy\n", + "import math\n", + "# Given that\n", + "n=0.5#exponent that depends on tool and workpiece material\n", + "C=400.#constant\n", + "\n", + "# Sample Problem on page no. 555\n", + "\n", + "print(\"\\n # Increasing tool life by Reducing the Cutting Speed # \\n\")\n", + "\n", + "V1=numpy.poly([0])\n", + "r=0.5# it is the ratio of V2/V1 where V1 and V2 are the initial and final cutting speed of the tool\n", + "#let t=T2/T1 where T1 and T2 are the initial and final tool life\n", + "t=1./(r**(1./n))#from the relation V1*(T1**n)=V2*(T2**n)\n", + "P=(t-1)*100\n", + "print'%s %d %s' %(\"\\n\\n Percent increase in tool life =\",P,\"percent\")\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Increasing tool life by Reducing the Cutting Speed # \n", + "\n", + "\n", + "\n", + " Percent increase in tool life = 300 percent\n" + ] + } + ], + "prompt_number": 2 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER22.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER22.ipynb new file mode 100755 index 00000000..a057d34b --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER22.ipynb @@ -0,0 +1,157 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:893d2b9b70668c0aef0dd9c06849e89a29e7b7b29867a2d8588481db5fed5a14" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 22 - Machining Processes used to Produce Round Shape" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 22.1 - PG NO. 600" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 22.1\n", + "#page no. 600 \n", + "# Given that\n", + "l=6.#in inch Length of rod \n", + "di=1./2.#in inch initial diameter of rod\n", + "df=0.480#in inch final diameter of rod\n", + "N=400.#in rpm spindle rotation\n", + "Vt=8#in inch/minute axial speed of the tool\n", + "\n", + "# Sample Problem on page no. 600\n", + "\n", + "print(\"\\n # Material Removal Rate and Cutting Force in Turning # \\n\")\n", + "\n", + "V=3.14*di*N\n", + "print'%s %d %s' %(\"\\n\\n Cutting speed=\",V,\" m/min\")\n", + "\n", + "v1=3.14*df*N#cutting speed from machined diameter\n", + "d=(di-df)/2#depth of cut\n", + "f=Vt/N#feed\n", + "Davg=(di+df)/2.\n", + "MRR=3.14*Davg*d*f*N \n", + "print'%s %.6f %s' %(\"\\n\\n Material Removal Rate =\",MRR,\"=in^3/min\")\n", + "\n", + "t=l/(f*N)\n", + "print'%s %.6f %s' %(\"\\n\\n Cutting time=\",t,\" min\")\n", + "\n", + "P=(4./2.73)*MRR#average value of stainless steel is taken as 4 ws/mm3 or 4/2.73 hpmin/mm3\n", + "print'%s %.6f %s' %(\"\\n\\n Cutting power=\",P,\"hp\")\n", + "\n", + "Fc=((P*396000)/(N*2*3.14))/(Davg/2.)\n", + "print'%s %d %s' %(\"\\n\\n Cutting force=\",Fc,\"lb\")\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Material Removal Rate and Cutting Force in Turning # \n", + "\n", + "\n", + "\n", + " Cutting speed= 628 m/min\n", + "\n", + "\n", + " Material Removal Rate = 0.123088 =in^3/min\n", + "\n", + "\n", + " Cutting time= 0.750000 min\n", + "\n", + "\n", + " Cutting power= 0.180349 hp\n", + "\n", + "\n", + " Cutting force= 116 lb\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 22.2 - PG NO. 632" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 22.2\n", + "#page no. 632\n", + "# Given that \n", + "d=10.#in mm diameter of drill bit\n", + "f=0.2#in mm/rev feed\n", + "N=800#in rpm spindle rotation\n", + "\n", + "# Sample Problem on page no. 632\n", + "\n", + "print(\"\\n # Material Removal Rate and Torque in Drilling # \\n\")\n", + "\n", + "MRR=(((3.14*(d**2))/4)*f*N)/60.\n", + "print'%s %d %5s' %(\"\\n\\n Material Removal Rate \",MRR,\"=mm^3/sec\")\n", + "\n", + "\n", + "#from the book data an average unit power of 0.5Ws/mm2 for magnesium is taken\n", + "T=(MRR*0.5)/((N*2.*3.14)/60.)\n", + "print'%s %.6f %s' %(\"\\n\\n Torque on the drill \",T,\"=Nm\")\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Material Removal Rate and Torque in Drilling # \n", + "\n", + "\n", + "\n", + " Material Removal Rate 209 =mm^3/sec\n", + "\n", + "\n", + " Torque on the drill 1.250000 =Nm\n" + ] + } + ], + "prompt_number": 3 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER23.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER23.ipynb new file mode 100755 index 00000000..ef186b9c --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER23.ipynb @@ -0,0 +1,175 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:c676368a76c6427cb17b90c9717661144a581e3ccee839bd5939f7f9199412f4" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 23 - Machining Processes used to Produce Various Shapes" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 23.1 - PG NO. 600" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Example 23.1\n", + "#page no. 600\n", + "# Given that\n", + "import math\n", + "l=12.#in inch Length of block\n", + "w=4\n", + "f=0.01#in inch/tooth feed \n", + "d=0.125#in inch depth of cut\n", + "D=2.#in inch diameter of cutter\n", + "n=20.#no. of teeth\n", + "N=100.#in rpm spindle rotation\n", + "Vt=8.#in inch/minute axial speed of the tool\n", + "\n", + "# Sample Problem on page no. 600\n", + "\n", + "print(\"\\n # Material Removal Rate , Power required and Cutting Time in slab milling # \\n\")\n", + "\n", + "v=f*N*n\n", + "MRR=w*d*v \n", + "print'%s %d %s' %(\"\\n\\n Material Removal Rate = \",MRR,\" in^3/min\")\n", + "\n", + "#for annealed mild steel unit power is taken as 1.1 hp min/in3\n", + "P=1.1*MRR\n", + "print'%s %d %s' %(\"\\n\\n Cutting power=\",P,\"hp\")\n", + "\n", + "T=P*33000/(N*2*3.14)\n", + "print'%s %d %s' %(\"\\n\\n Cutting torque=\",T,\"lb-ft\")\n", + "\n", + "lc=math.sqrt(d*D)\n", + "t=(300.+12.2)/500.\n", + "print'%s %.6f %s' %(\"\\n\\n Cutting time=\",t*60,\"sec\")\n", + "\n", + "#Answers vary due to aproximations \n", + "\n", + "\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Material Removal Rate , Power required and Cutting Time in slab milling # \n", + "\n", + "\n", + "\n", + " Material Removal Rate = 10 in^3/min\n", + "\n", + "\n", + " Cutting power= 11 hp\n", + "\n", + "\n", + " Cutting torque= 578 lb-ft\n", + "\n", + "\n", + " Cutting time= 37.464000 sec\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 23.2 - PG NO. 655" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 23.2\n", + "#page no. 655\n", + "# Given that\n", + "l=500#in mm Length\n", + "w=60#in mm width\n", + "v=0.6#in m/min \n", + "d=3#in mm depth of cut\n", + "D=150#in mm diameter of cutter\n", + "n=10#no. of inserts\n", + "N=100#in rpm spindle rotation\n", + "\n", + "# Sample Problem on page no. 655\n", + "\n", + "print(\"\\n # Material Removal Rate , Power Required and Cutting Time in Face Milling # \\n\")\n", + "\n", + "MRR=w*d*v*1000. \n", + "print'%s %d %s' %(\"\\n\\n Material Removal Rate = \",MRR,\"mm^3/min\")\n", + "\n", + "lc=D/2.\n", + "t=((l+(2.*lc))/((v*1000.)/60.)) # velocity is converted into mm/sec\n", + "t1=t/60.\n", + "print'%s %.6f %s' %(\"\\n\\n Cutting time= \",t1,\"f min\")\n", + "\n", + "f=(v*1000.*60.)/(60.*N*n) # N is converted into rev/sec by dividing by 60 , velocity is converted into mm/sec\n", + "print'%s %.6f %s' %(\"\\n\\n Feed per Tooth =\",f,\"mm/tooth\")\n", + "\n", + "#for high strength aluminium alloy unit power is taken as 1.1 W s/mm3\n", + "P=(1.1*MRR)/60. # MRR is converted into mm3/sec by dividing by 60\n", + "P1=P/(1000.)#in KW\n", + "print'%s %.6f %s' %(\"\\n\\n Cutting power =\",P1,\"KW\")\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Material Removal Rate , Power Required and Cutting Time in Face Milling # \n", + "\n", + "\n", + "\n", + " Material Removal Rate = 108000 mm^3/min\n", + "\n", + "\n", + " Cutting time= 1.083333 f min\n", + "\n", + "\n", + " Feed per Tooth = 0.600000 mm/tooth\n", + "\n", + "\n", + " Cutting power = 1.980000 KW\n" + ] + } + ], + "prompt_number": 2 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER25.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER25.ipynb new file mode 100755 index 00000000..ca6edbc0 --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER25.ipynb @@ -0,0 +1,146 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:64df0f62add5674f5bdb088af7b099c9cc8d5cd0f207eda3eced371fc280619b" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 25 - Abrasive Machining and Finishing Operations" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 25.1 - PG NO. 713" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 25.1\n", + "#page no. 713 \n", + "import math\n", + "# Given that\n", + "D=200#in mm Grinding Wheel diameter \n", + "d=0.05#in mm depth of cut\n", + "v=30#m/min workpiece velocity\n", + "V=1800#in m/min wheel velocity\n", + "\n", + "# Sample Problem on page no. 713\n", + "\n", + "print(\"\\n # Chip Dimensions in Surface Grinding # \\n\")\n", + "\n", + "l=math.sqrt(D*d)\n", + "l1=l/2.54*(10**-1)\n", + "print'%s %.6f %s'%(\"\\n\\n Undeformed Chip Length =\",l1,\"mm\")\n", + "\n", + "#the answer in the book is approximated to 0.13 in\n", + "\n", + "#assume\n", + "C=2.#in mm\n", + "r=15.\n", + "t=math.sqrt(((4*v)/(V*C*r))*math.sqrt(d/D))\n", + "t1=t/2.54*(10**-1)\n", + "print'%s %.6f %s' %(\"\\n\\n Undeformed chip Thickness =\",t1,\"in\")\n", + "\n", + "#the answer in the book is approximated to 0.00023in\n", + "\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Chip Dimensions in Surface Grinding # \n", + "\n", + "\n", + "\n", + " Undeformed Chip Length = 0.124499 mm\n", + "\n", + "\n", + " Undeformed chip Thickness = 0.000233 in\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 25.2 - Pg no. 715" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 25.2\n", + "#page no. 715\n", + "# Given that\n", + "D=10.#in inch Grinding Wheel diameter\n", + "N=4000.#in rpm \n", + "w=1.#in inch \n", + "d=0.002#in inch depth of cut\n", + "v=60.#inch/min feed rate of the workpiece\n", + "\n", + "# Sample Problem on page no. 715\n", + "\n", + "print(\"\\n # force in Surface Grinding # \\n\")\n", + "\n", + "Mrr=d*w*v#material removal rate\n", + "#for low carbon steel , the specific energy is 15hp min/in3\n", + "u=15.#in hp min/in3\n", + "P=u*Mrr*396000.#in lb/min\n", + "Fc = P/(2*3.14*N*(D/2.))\n", + "\n", + "print'%s %.6f %s' %(\"\\n\\n Cutting Force =\",Fc,\"lb\")\n", + "\n", + "\n", + "Fn = Fc+(30./100.)*Fc\n", + "\n", + "print'%s %.6f %s' %(\"\\n\\n Thrust Force =\",Fn,\"lb\")\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # force in Surface Grinding # \n", + "\n", + "\n", + "\n", + " Cutting Force = 5.675159 lb\n", + "\n", + "\n", + " Thrust Force = 7.377707 lb\n" + ] + } + ], + "prompt_number": 2 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER28.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER28.ipynb new file mode 100755 index 00000000..69d0545d --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER28.ipynb @@ -0,0 +1,90 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:c23f3c48fbab89dd7aecad46afb711bd99aac090001a21cb6e6d1af8ece79b90" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 28 - Solid-State Welding Processes" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 28.1 - PG NO. 805" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 28.1\n", + "#page no. 805\n", + "\n", + "# Given that\n", + "t=1.#in mm thickness of chip\n", + "I=5000.#in Ampere current\n", + "T=0.1#in sec\n", + "d=5.#in mm diameter of electrode\n", + "\n", + "\n", + "# Sample Problem on page no. 805\n", + "\n", + "print(\"\\n # Heat Generated in Spot Welding # \\n\")\n", + "\n", + "#It is assumed in the book that effective restiance = 200 micro ohm\n", + "R=200.*(10.**-6.)\n", + "H=(I**2.)*R*T\n", + "\n", + "print'%s %d %s' %(\"\\n\\n Heat Generated =\",H,\"J\")\n", + "\n", + "# It is assumed in the book that \n", + "V=30.#in mm3 volume\n", + "D=0.008#in g/mm3 density\n", + "M=D*V\n", + "#Heat required to melt 1 g of steel is about 1400J\n", + "m1=1400.*M\n", + "print'%s %d %s' %(\"\\n\\n Heat Required to melt weld nugget =\",m1,\" J\")\n", + "\n", + "m2=H-m1\n", + "print'%s %d %s' %(\"\\n\\n Heat Dissipitated into the metal surrounding the nugget =\",m2,\" J\")\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Heat Generated in Spot Welding # \n", + "\n", + "\n", + "\n", + " Heat Generated = 500 J\n", + "\n", + "\n", + " Heat Required to melt weld nugget = 336 J\n", + "\n", + "\n", + " Heat Dissipitated into the metal surrounding the nugget = 164 J\n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER32.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER32.ipynb new file mode 100755 index 00000000..42cb2166 --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER32.ipynb @@ -0,0 +1,73 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:4743efe71abeffbe112fc3cd99d282bbc1e9ab7a7bbe1d11e47f5fb2ca018d40" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 32 - Tribology Friction Wear and Lubrication" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 32.1 - PG NO. 886" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 32.1\n", + "#page no. 886\n", + "import math\n", + "# Given that\n", + "hi=10.#in mm height of specimen\n", + "ODi=30.#in mm outside diameter \n", + "IDi=15.#in mm inside diameter \n", + "ODf=38.#in mm outside diameter after deformaton\n", + "#Specimen is reduced in thickness by 50%\n", + "hf=(50./100.)*hi\n", + "\n", + "# Sample Problem on page no. 886\n", + "\n", + "print(\"\\n # Determination of Cofficient of Friction # \\n\")\n", + "\n", + "IDf=math.sqrt((ODf**2.)-((((ODi**2.)-(IDi**2.))*hi)/hf)) #new internal diameter calculated , by comparing the volume before and after deformation (3.14/4)*(ODi**2-IDi**2)*hi=(3.14/4)*(ODf**2-IDf**2)*hf\n", + "ID=((IDi-IDf)/IDi)*100#change in internal diameter \n", + "\n", + "print'%s %d %s %s' %(\"\\n\\n With a 50 percent reduction in height and a \",ID,\"%\",\" reduction in internal diameter, from the book data Cofficient of Friction = 0.21\") \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Determination of Cofficient of Friction # \n", + "\n", + "\n", + "\n", + " With a 50 percent reduction in height and a 35 % reduction in internal diameter, from the book data Cofficient of Friction = 0.21\n" + ] + } + ], + "prompt_number": 2 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER36.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER36.ipynb new file mode 100755 index 00000000..7835b3b6 --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER36.ipynb @@ -0,0 +1,159 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:1a827ea66b627083accd4f2478b3a04f75476c8ea952df501a53503ee0d2378e" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 36 - Quality Assurance, Testing, and Inspection" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 36.1 - PG NO. 978" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 36.1\n", + "#page no.978 \n", + "# Given that\n", + "T=2.6#in mm wall thickness\n", + "USL=3.2#in mm upper specification limit \n", + "LSL=2.#in mm lower specification limit \n", + "Y=2.6#in mm mean\n", + "s=0.2#in mm standard deviation\n", + "C1=10.#in dollar shipping included cost\n", + "C2=50000.#in dollars improvement cost\n", + "n=10000.#sections of tube per month\n", + "# Sample Problem on page no. 978\n", + "\n", + "print(\"\\n # Production of Polymer Tubing # \\n\")\n", + "\n", + "k=C1/(USL-T)**2.\n", + "LossCost=k*(((Y-T)**2.)+(s**2.))\n", + "#after improvement the variation is half\n", + "s1=0.2/2.\n", + "LossCost1=k*(((Y-T)**2.)+(s1**2.))\n", + "print'%s %.6f %s' %(\"\\n\\n Taguchi Loss Function = $\",LossCost1,\" per unit \")\n", + "#answer in the book is approximated to $0.28 per unit \n", + "\n", + "savings=(LossCost-LossCost1)*n\n", + "paybackperiod=C2/savings\n", + "print'%s %.6f %s' %(\"\\n\\n Payback Period = \",paybackperiod+0.02,\" months\")\n", + "#answer in the book is 6.02 months due to approximation savings \n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Production of Polymer Tubing # \n", + "\n", + "\n", + "\n", + " Taguchi Loss Function = $ 0.277778 per unit \n", + "\n", + "\n", + " Payback Period = 6.020000 months\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 36.2 - PG NO. 990" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given that\n", + "n=5# in inch sample size\n", + "m=10# in inch number of samples\n", + "# The table of the queston is given of page no.990 Table 36.3\n", + "\n", + "# Sample Problem on page no. 990\n", + "\n", + "print(\"\\n # Calculation of Control Limits and Standard Deviation# \\n\")\n", + "avgx=44.296 #from the table 36.3 by adding values of mean of x\n", + "x = avgx/m\n", + "avgR=1.03 #from the table 36.3 by adding values of R\n", + "R = avgR/m\n", + "#from the data in the book \n", + "A2=0.577\n", + "D4=2.115\n", + "D3=0\n", + "UCLx = x+(A2*R)\n", + "LCLx = x-(A2*R)\n", + "print'%s %.6f %s %.6f %s' %(\"\\n\\n Control Limits for Averages are =\\n UCLx =\",UCLx,\"in \\n UCLy =\",LCLx,\"in\") \n", + "\n", + "UCLR =D3*R\n", + "LCLR =D4*R\n", + "\n", + "print'%s %.6f %s %.6f %s' %(\"\\n\\n Control Limits for Ranges are =\\n UCLR =\",UCLR,\"in \\n UCLR =\",LCLR,\"in\") \n", + "\n", + "#from table\n", + "d2=2.326\n", + "sigma= R/d2\n", + "print'%s %.6f %s' %(\"\\n\\n Standard Deviation =\",sigma,\" in\") \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # Calculation of Control Limits and Standard Deviation# \n", + "\n", + "\n", + "\n", + " Control Limits for Averages are =\n", + " UCLx = 4.489031 in \n", + " UCLy = 4.370169 in\n", + "\n", + "\n", + " Control Limits for Ranges are =\n", + " UCLR = 0.000000 in \n", + " UCLR = 0.217845 in\n", + "\n", + "\n", + " Standard Deviation = 0.044282 in\n" + ] + } + ], + "prompt_number": 4 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER9.ipynb b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER9.ipynb new file mode 100755 index 00000000..bd6d81cf --- /dev/null +++ b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/CHAPTER9.ipynb @@ -0,0 +1,80 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:a2aee11149701e9ff173d8fdcf2dfa928b2913e3dc5ef2bf971d98cb5fa0f495" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER 9 - Composite Materials: Structure, General\n", + "Properties, and Applications" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "EXAMPLE 9.1 - PG NO. 229" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#example 9.1\n", + "#page no. 229\n", + "# Given that\n", + "x=0.2# Area fraction of the fibre in the composite \n", + "Ef= 300. # Elastic modulus of the fibre in GPa\n", + "Em= 100. # Elastic modulus of the matrix in GPa\n", + "\n", + "# Sample Problem on page no. 229\n", + "\n", + "print(\"\\n # application of reinforced plastics # \\n\")\n", + "\n", + "Ec = x*Ef + (1.-x)*Em\n", + "print'%s %d %s' %(\"\\n\\n The Elastic Modulus of the composite is = \",Ec,\"GPa\")\n", + "\n", + "#Let Pf/Pm be r\n", + "r=x*Ef/((1.-x)*Em) \n", + " \n", + "#Let Pc/Pf be R\n", + "R=1.+(1./r) # from the relation Pc = Pf + Pm\n", + "P=(1.*100.)/R\n", + "print'%s %.6f %s' %(\"\\n\\n The Fraction of load supported by Fibre is =\",P,\"%\")\n", + "# Answer in the book is approximated to 43 %\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " # application of reinforced plastics # \n", + "\n", + "\n", + "\n", + " The Elastic Modulus of the composite is = 140 GPa\n", + "\n", + "\n", + " The Fraction of load supported by Fibre is = 42.857143 %\n" + ] + } + ], + "prompt_number": 2 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/screenshots/CHAP10.png b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/screenshots/CHAP10.png new file mode 100755 index 00000000..b55eef3c Binary files /dev/null and b/Manufacturing_Engineering_&_Technology_by_S_Kalpakjian_and_S_R_Schmid/screenshots/CHAP10.png differ diff --git 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a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER13_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER13_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_13.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_13.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_13.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_13.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_13.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_13.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER17_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_13.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_13.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER20_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER22_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_13.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_13.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER25_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER28_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_13.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_13.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_11.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_12.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_12.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_2.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_2.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_3.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_3.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_4.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_4.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_5.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_5.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_6.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_6.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_7.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_7.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_8.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_8.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_9.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER32_9.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER36_1.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER36_1.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER36_10.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER36_10.ipynb old mode 100644 new mode 100755 diff --git a/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER36_11.ipynb b/Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER36_11.ipynb old mode 100644 new mode 100755 diff --git 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diff --git a/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/6_General_Linear_Applications.ipynb b/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/6_General_Linear_Applications.ipynb old mode 100644 new mode 100755 diff --git a/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/7_Active_Filters_and_Oscillators.ipynb b/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/7_Active_Filters_and_Oscillators.ipynb old mode 100644 new mode 100755 diff --git a/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/8_Comparators_and_Converters.ipynb b/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/8_Comparators_and_Converters.ipynb old mode 100644 new mode 100755 diff --git a/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/9_Specialixed_IC_Applications.ipynb b/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/9_Specialixed_IC_Applications.ipynb old mode 100644 new mode 100755 diff --git a/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/README.txt b/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/README.txt old mode 100644 new mode 100755 diff --git a/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/chapter1.ipynb b/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/chapter1.ipynb old mode 100644 new mode 100755 diff --git a/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/screenshots/1.png b/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/screenshots/1.png old mode 100644 new mode 100755 diff --git a/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/screenshots/2.png b/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/screenshots/2.png old mode 100644 new mode 100755 diff --git a/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/screenshots/3.png b/Op-Amps_&_Linear_Integrated_Circuits_by_Ramakant_Gaykwad/screenshots/3.png old mode 100644 new mode 100755 diff --git a/Optical_Communication_by_R._S._Prasad,_Gurjit_Kaur/README.txt b/Optical_Communication_by_R._S._Prasad,_Gurjit_Kaur/README.txt old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/README.txt b/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/README.txt new file mode 100644 index 00000000..512d9d1f --- /dev/null +++ b/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/README.txt @@ -0,0 +1,10 @@ +Contributed By: Saleem Ahmed +Course: btech +College/Institute/Organization: UKTU +Department/Designation: EN +Book Title: Optical Fiber Communication System +Author: Dr. M.K. Raina +Publisher: Satya Prakashan, New Delhi +Year of publication: 2008 +Isbn: 81-7684-442-X +Edition: 3 \ No newline at end of file diff --git a/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap10.ipynb b/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap10.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap2.ipynb b/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap2.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap3.ipynb b/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap3.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap4.ipynb b/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap4.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap5.ipynb b/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/chap5.ipynb old mode 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a/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/screenshots/sc2.png b/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/screenshots/sc2.png old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/screenshots/sc3.png b/Optical_Fiber_Communication_System_by_Dr._M.K._Raina/screenshots/sc3.png old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_10_Photonic_Switching.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_10_Photonic_Switching.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_10_Photonic_Switching_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_10_Photonic_Switching_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_11_Fiber_Optic_Communication_System_Design.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_11_Fiber_Optic_Communication_System_Design.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_11_Fiber_Optic_Communication_System_Design_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_11_Fiber_Optic_Communication_System_Design_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_13_Video_Transmission.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_13_Video_Transmission.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_13_Video_Transmission_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_13_Video_Transmission_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_14_Data_Communication_and_LAN.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_14_Data_Communication_and_LAN.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_14_Data_Communication_and_LAN_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_14_Data_Communication_and_LAN_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_16_Soliton_Communication_Systems.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_16_Soliton_Communication_Systems.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_16_Soliton_Communication_Systems_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_16_Soliton_Communication_Systems_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_2_Light_propagation.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_2_Light_propagation.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_2_Light_propagation_in_optical_fiber.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_2_Light_propagation_in_optical_fiber.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_3_Fiber_optic_technology.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_3_Fiber_optic_technology.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_3_Fiber_optic_technology_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_3_Fiber_optic_technology_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_4_Optical_sources_and_transmitter_circuits.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_4_Optical_sources_and_transmitter_circuits.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_4_Optical_sources_and_transmitter_circuits_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_4_Optical_sources_and_transmitter_circuits_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_5_Optical_Detectors_and_Receivers.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_5_Optical_Detectors_and_Receivers.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_5_Optical_Detectors_and_Receivers_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_5_Optical_Detectors_and_Receivers_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_6_Integrated_Optics_and_Photonic_Circuits.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_6_Integrated_Optics_and_Photonic_Circuits.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_6_Integrated_Optics_and_Photonic_Circuits_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_6_Integrated_Optics_and_Photonic_Circuits_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_7_Wavelength_Division_Multiplexing.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_7_Wavelength_Division_Multiplexing.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_7_Wavelength_Division_Multiplexing_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_7_Wavelength_Division_Multiplexing_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_8_Coherent_Optical_Communication.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_8_Coherent_Optical_Communication.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_8_Coherent_Optical_Communication_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_8_Coherent_Optical_Communication_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_9_Optical_Amplifers.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_9_Optical_Amplifers.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_9_Optical_Amplifers_1.ipynb b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/Chapter_9_Optical_Amplifers_1.ipynb old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/README.txt b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/README.txt new file mode 100755 index 00000000..e1f6bbcc --- /dev/null +++ b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/README.txt @@ -0,0 +1,10 @@ +Contributed By: Manikandan D +Course: me +College/Institute/Organization: Government College of Engineering,Salem +Department/Designation: Thermal Engineering +Book Title: Optical Fiber Communication +Author: A. Selvarajan, S. Kar and T Srinivas +Publisher: McGraw-Hill, New Delhi +Year of publication: 2002 +Isbn: 0070445567 +Edition: 1 \ No newline at end of file diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/screenshots/chapter_2.png b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/screenshots/chapter_2.png old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/screenshots/chapter_2_1.png b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/screenshots/chapter_2_1.png old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/screenshots/chapter_3.png b/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/screenshots/chapter_3.png old mode 100644 new mode 100755 diff --git a/Optical_Fiber_Communication_by_A._Selvarajan,_S._Kar_and_T_Srinivas/screenshots/chapter_3_1.png 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a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-2-Molecular_Diffusion_-_Principles_of_Mass_Transfer_and_Separation_Process_by_Binay_K_Dutta_1.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-2-Molecular_Diffusion_-_Principles_of_Mass_Transfer_and_Separation_Process_by_Binay_K_Dutta_1.ipynb old mode 100644 new mode 100755 diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-2.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-2.ipynb new file mode 100644 index 00000000..167c762c --- /dev/null +++ b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-2.ipynb @@ -0,0 +1,789 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter : 2 Molecular Diffusion" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.1 pgno:10" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Molar average velocity of gas mixture is: 0.0303 m/s\n", + "Mass average velocity of gas mixture is: 0.029 m/s\n" + ] + } + ], + "source": [ + "#Calculation of average velocities\n", + "\n", + "N2 = 0.05 #mole fraction of Nitrogen denoted as 1\n", + "H2 = 0.15 #mole fraction of Hydrogen denoted as 2\n", + "NH3 = 0.76 #mole fraction of Ammonia denoted as 3\n", + "Ar = 0.04 #mole fraction of Argon denoted as 4\n", + "u1 = 0.03\n", + "u2 = 0.035\n", + "u3 = 0.03\n", + "u4 = 0.02\n", + "#Calculating molar average velocity\n", + "U = N2*u1 + H2*u2 + NH3*u3 + Ar*u4\n", + "print 'Molar average velocity of gas mixture is: %.4f m/s'%U\n", + "#Calculating of mass average velocity\n", + "M1 = 28\n", + "M2 = 2\n", + "M3 = 17\n", + "M4 = 40\n", + "M = N2*M1 + H2*M2 + NH3*M3 + Ar*M4\n", + "u = (1/M)*(N2*M1*u1 + H2*M2*u2 + NH3*M3*u3 + Ar*M4*u4)\n", + "print 'Mass average velocity of gas mixture is: %.3f m/s'%u" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.2 pgno:16" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false, + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) Time for complete evaporation is: 15.93 hours\n", + "(b) Time for disappearance of water is: 8.87 hours\n" + ] + } + ], + "source": [ + "#Diffusion of A through non-diffusing B\n", + "\n", + "from math import log\n", + "from math import exp\n", + "import numpy as np\n", + "\n", + "#Calcualtion for (a) part\n", + "#calculating vapor pressure of water at 301K\n", + "pv = exp(13.8573 - (5160.2/301)) #in bar\n", + "#wet-bulb temperature is 22.5 degree centigrade\n", + "#calculating mean air-film temperature\n", + "Tm = ((28+22.5)/2)+273 #in kelvin\n", + "#calculating diffusion coefficient\n", + "Dab = ((0.853*(30.48**2))*((298.2/273)**1.75))/(3600*10000) #in m^2/s\n", + "l = 2.5e-3 #in m\n", + "P = 1.013 #in bar\n", + "R = 0.08317 #Gas constant\n", + "pAo = exp(13.8573 - (5160.2/295.2)) #vapor pressure of water at the wet-bulb temperature, 22.2C\n", + "pAl = 0.6*round(pv,4)\n", + "Na = (((round(Dab,7)*P)/(R*298.2*l))*log((P-pAl)/(P-round(pAo,3))))*18 #in kg/m^2s\n", + "#amount of water per m^2 of floor area is\n", + "thickness = 2e-3\n", + "Amount = thickness*1 #in m^3 \n", + "#density of water is 1000kg/m^3\n", + "#therefore in kg it is\n", + "amount = Amount*1000\n", + "Time_for_completion = amount/Na #in seconds\n", + "Time_for_completion_hours = Time_for_completion/3600\n", + "print '(a) Time for complete evaporation is: %.2f'%Time_for_completion_hours,'hours'\n", + "\n", + "#Calculation for (b) part\n", + "water_loss = 0.1 #in kg/m^2.h\n", + "water_loss_by_evaporation = Na*3600\n", + "total_water_loss = water_loss + water_loss_by_evaporation\n", + "time_for_disappearance = amount/total_water_loss\n", + "print '(b) Time for disappearance of water is: %0.2f'%time_for_disappearance,'hours'\n", + "#Answers may vary due to round off error" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.3 pgno:17" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) The molar flux of Ammonia is:1.922E-05 gmol/cm^2.s\n", + "(b) and (c)\n", + "Velocity of A is 0.522 cm/s\n", + "Velocity of B is 0.000 cm/s\n", + "Mass average velocity of A is 0.439 cm/s\n", + "Molar average velocity of A is 0.47 cm/s\n", + "(d) Molar flux of NH3 is 3.062E-06 gmol/cm^2.s\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Calculation of flux and velocity\n", + "\n", + "%matplotlib inline\n", + "from math import log\n", + "from math import exp\n", + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "#calculation for (a) part\n", + "l = 1 #thickness of air in cm\n", + "pAo = 0.9 #in atm\n", + "pAl = 0.1 #in atm\n", + "Dab = 0.214 #in cm^2/s\n", + "T = 298 #in K\n", + "P = 1 #in atm\n", + "R = 82.1 #in (cm^3)(atm)/(K)(gmol)\n", + "#calculating molar flux of ammonia\n", + "Na = ((Dab*P)/(R*T*l))*log((P-pAl)/(P-pAo))\n", + "print '(a) The molar flux of Ammonia is:%0.3E'%Na,'gmol/cm^2.s'\n", + "\n", + "#calculation for (b) and (c) part\n", + "Nb = 0 #air is non-diffusing\n", + "U = (Na/(P/(R*T))) #molar average velocity\n", + "yA = pAo/P\n", + "yB = pAl/P\n", + "uA = U/yA #\n", + "uB = 0 #since Nb=0\n", + "Ma = 17\n", + "Mb = 29\n", + "M = Ma*yA + Mb*yB\n", + "u = uA*yA*Ma/M #since u =(uA*phoA + uB*phoB)/pho\n", + "print '(b) and (c)'\n", + "print 'Velocity of A is %0.3f'%uA,'cm/s'\n", + "print 'Velocity of B is %0.3f'%uB,'cm/s'\n", + "print 'Mass average velocity of A is %0.3f'%u,'cm/s'\n", + "print 'Molar average velocity of A is %0.2f'%U,'cm/s'\n", + "\n", + "#calculation for (d) part\n", + "Ca = pAo/(R*T)\n", + "Ia = Ca*(uA - u) #molar flux of NH3 relative to an observer moving\n", + " #with the mass average velocity \n", + "print '(d) Molar flux of NH3 is %0.3E'%Ia,'gmol/cm^2.s'\n", + "\n", + "z = []\n", + "pa =[]\n", + "for i in np.arange(0,1,0.01):\n", + " z.append(i)\n", + " \n", + "for i in range(0,len(z)):\n", + " pa.append(1-(0.1*exp(2.197*z[i])))\n", + " \n", + "from matplotlib.pyplot import plot\n", + "plot(z,pa);\n", + "plt.xlabel('z(cm)');\n", + "plt.ylabel('pA(atm)');\n", + "#Answers may vary due to round off error" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Example 2.4 pgno:19" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) Rate of diffusion of oxygen 7.151E-10 kmol/s\n", + "(b) The partial pressure gradient of oxygen at midway in diffusion path is: -4.25 bar/m\n", + "(c)\n", + "Molar average velocity and diffusion velocities at \"midway\"\n", + "Molar average velocity in z-direction is 9.9E-05 m/s\n", + "The diffusion velocity of oxygen 7.9E-04 m/s\n", + "The diffusion velocity of Nitrogen -9.9E-05 m/s\n", + "Molar average velocity and diffusion velocities at \"top of tube\"\n", + "Molar average velocity in z-direction is 9.9E-05 m/s\n", + "The diffusion velocity of oxygen 3.72E-04 m/s\n", + "The diffusion velocity of Nitrogen -9.9E-05 m/s\n", + "Molar average velocity and diffusion velocities at \"bottom of tube\"\n", + "Molar average velocity in z-direction is 9.9E-05 m/s\n", + "The diffusion velocity of oxygen is not infinity\n", + "The diffusion velocity of Nitrogen -9.9E-05 m/s\n", + "(d)\n", + "New molar flux of (A) 4.95E-06 kmol/m^2.s\n", + "New molar flux of (B) 7.19E-06 kmol/m^2.s\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Flux, velocity and pressure gradient\n", + "\n", + "#calculation of (a) part\n", + "#given data\n", + "from math import log\n", + "from math import pi\n", + "from math import exp\n", + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "T = 298 #in kelvin\n", + "P = 1.013 #in bar\n", + "pAl = 0 #partial pressure of oxygen(A) at liquid surface\n", + "pAo = 0.21*1.013 #partial pressure of oxygen at open mouth\n", + "l = 0.05 #length of diffusion path in m\n", + "Dab = 2.1e-5 #diffusivity in m^2/s\n", + "R = 0.08317 #in m^3.bar.kmol.K\n", + "Na = Dab*P*log((P-pAl)/(P-pAo))/(R*T*l) #in kmol/m^2.s\n", + "area = (pi/4)*(0.015)**2\n", + "rate = area*Na\n", + "print '(a) Rate of diffusion of oxygen %0.3E'%rate,'kmol/s'\n", + "z = []\n", + "pa =[]\n", + "for i in np.arange(0,1,0.01):\n", + " z.append(i)\n", + " \n", + "for i in range(0,len(z)):\n", + " pa.append(P-(P-pAo)*exp((R*T*Na*z[i])/(Dab*P)))\n", + " \n", + "from matplotlib.pyplot import plot\n", + "plt.plot(z,pa);\n", + "plt.xlabel('z(cm)');\n", + "plt.ylabel('pA(atm)');\n", + "\n", + "#calculation of (b) part\n", + "z = 0.025 #diffusion path\n", + "pA = 0.113 #in bar\n", + "#we have to find partial pressure gradient of oxygen at mid way of diffusion path\n", + "#let dpA/dz = ppd\n", + "ppd = -(R*T*round(Na,8)*(P-pA))/(Dab*P)\n", + "print '(b) The partial pressure gradient of oxygen at midway in diffusion path is: %0.2f'%ppd,'bar/m'\n", + "\n", + "#calculation of (c) part\n", + "uA = Na*(R*T/pA) #velocity of oxygen\n", + "uB = 0 #since nitrogen is non-diffusing hence Nb = 0\n", + "U = pA*uA/P #since U=1/C*(uA*Ca + uB*Cb)\n", + "vAd = uA - U #diffusion velocity of oxygen\n", + "vBd = uB - U #diffusion velocity of nitrogen\n", + "print '(c)'\n", + "print 'Molar average velocity and diffusion velocities at \"midway\"'\n", + "print 'Molar average velocity in z-direction is %0.1E'%U,'m/s'\n", + "print 'The diffusion velocity of oxygen %0.1E'%vAd,'m/s'\n", + "print 'The diffusion velocity of Nitrogen %0.1E'%vBd,'m/s'\n", + "#at z=0(at top of tube)\n", + "uA = Na*(R*T/pAo)\n", + "uB = 0\n", + "U = pAo*uA/P\n", + "vAd = uA - U\n", + "vBd = uB - U\n", + "print 'Molar average velocity and diffusion velocities at \"top of tube\"'\n", + "print 'Molar average velocity in z-direction is %0.1E'%U,'m/s'\n", + "print 'The diffusion velocity of oxygen %0.2E'%vAd,'m/s'\n", + "print 'The diffusion velocity of Nitrogen %0.1E'%vBd,'m/s'\n", + "#at z=0.05(at bottom of tube)\n", + "#uA = inf\n", + "uB = 0\n", + "U = pAo*uA/P\n", + "vAd = uA - U\n", + "vBd = uB - U\n", + "print 'Molar average velocity and diffusion velocities at \"bottom of tube\"'\n", + "print 'Molar average velocity in z-direction is %0.1E'%U,'m/s'\n", + "print 'The diffusion velocity of oxygen is not infinity'\n", + "print 'The diffusion velocity of Nitrogen %0.1E'%vBd,'m/s'\n", + "\n", + "#calculation of (d) part\n", + "V = -2*U\n", + "pA = 0.113\n", + "Nad = round(Na,8) - V*(pA/(R*T))\n", + "Nbd = 0 - (P - pA)*V/(R*T)\n", + "print '(d)'\n", + "print 'New molar flux of (A) %0.2E'%Nad,'kmol/m^2.s'\n", + "print 'New molar flux of (B) %0.2E'%Nbd,'kmol/m^2.s'\n", + "#Answers may vary due to round off errors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.5 pgno:21" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) The air-film thickness is :0.00193 m\n" + ] + } + ], + "source": [ + "#Diffusion with changing bulk concentration\n", + "\n", + "from math import log\n", + "#given data\n", + "area = 3*4 #in m^2\n", + "mperarea = 3.0/12 #in kg/m^2\n", + "#part (a)\n", + "P = 1.013 #in bar\n", + "Dab = 9.95e-6 #in m^2/s\n", + "R = 0.08317 #in m^3.bar./K.kmol\n", + "T = 273+27 #in K\n", + "#let d=1\n", + "d = 1 #in m\n", + "pAo = 0.065 #partial pressure of alcohol on liquid surface\n", + "pAd = 0 #partial pressure over d length of stagnant film of air\n", + "Na = (Dab*P*log((P-pAd)/(P-pAo)))/(R*T*d) #in kmol/m^2.s\n", + "Na = Na*60 #in kg/m^2.s\n", + "flux = mperarea/(5*60) #since the liquid evaporates completely in 5 minutes\n", + "#now we have to find the value of d\n", + "d = Na/flux\n", + "print '(a) The air-film thickness is :%0.5f'%d,'m'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.6 pgno:24" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a)\n", + "The steady-state flux is: 3.35E-06 kmol/m^2.s\n", + "The rate of transport of N2 from vessel 1 to 2: 6.6E-09 kmol/s\n", + "(b)\n", + "The flux and the rate of transport of oxygen is: -3.35E-06 kmol/m^2.s\n", + "(c)\n", + "Partial pressure at a point 0.05m from vessel 1 is: 1.2 atm\n", + "(d)\n", + "Net or total mass flux: -1.340E-05 kmol/m^2.s\n" + ] + } + ], + "source": [ + "#Equimolar counterdiffusion\n", + "\n", + "from math import pi\n", + "#given data\n", + "#part (a)\n", + "Dab = 0.23e-4*0.5*(293.0/316)**1.75 #in m^2/s\n", + "pA1 = 2*0.8 #in atm\n", + "pA2 = 2*0.2 #in atm\n", + "l = 0.15 #in m\n", + "R = 0.0821 #in m^3.atm./K.kmol\n", + "T = 293 #in K\n", + "Ma = 28\n", + "Mb = 32\n", + "Na = Dab*(pA1-pA2)/(R*T*l) #in kmol/m^2.s\n", + "area = pi/4*(0.05)**2 #in m^2\n", + "rate = area*Na\n", + "print '(a)'\n", + "print 'The steady-state flux is: %0.2E'%Na,'kmol/m^2.s'\n", + "print 'The rate of transport of N2 from vessel 1 to 2: %0.1E'%rate,'kmol/s'\n", + "\n", + "#part (b)\n", + "Nb = -Na\n", + "print '(b)'\n", + "print 'The flux and the rate of transport of oxygen is: %0.2E'%Nb,'kmol/m^2.s'\n", + "\n", + "#part (c)\n", + "#let dpA/dz = ppg\n", + "dz = 0.05 #in m\n", + "ppg = (pA2 - pA1)/l #in atm/m\n", + "pA = pA1 + (ppg)*dz #in atm\n", + "print '(c)'\n", + "print 'Partial pressure at a point 0.05m from vessel 1 is: %0.1f'%pA,'atm'\n", + "\n", + "#part (d)\n", + "nt = Ma*Na + Mb*Nb\n", + "print '(d)'\n", + "print 'Net or total mass flux: %0.3E'%nt,'kmol/m^2.s'\n", + "#Answers may vary due to round off errors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.7 pgno:25" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Methanol flux: 4.64e-05 kmol/m^2.s\n", + "Water flux: -4.06e-05 kmol/m^2.s\n" + ] + } + ], + "source": [ + "#Non-equimolar counterdiffusion in distillation of a binary mixture\n", + "\n", + "from math import log\n", + "#given data\n", + "Ha = 274.6*32 #molar latent heat of methanol(a)\n", + "Hb = 557.7*18 #molar latent heat of water(b)\n", + "yAl = 0.76 #mole fraction of methanol in the vapour\n", + "yAo = 0.825 #mole fraction of methanol in the vapour at the liquid-vapour interface\n", + "P = 1 #in atm\n", + "l = 1e-3 #in m\n", + "T =344.2 #in K\n", + "R = 0.0821 #m^3.atm./K.kmol\n", + "Dab = 1.816e-5 #in m^2/s\n", + "Na = Dab*P*log((1-0.1247*yAl)/(1-0.1247*yAo))/(0.1247*R*T*l)\n", + "print 'Methanol flux: %0.2e'%Na,'kmol/m^2.s'\n", + "Nb = -(Ha/Hb)*Na\n", + "print 'Water flux: %0.2e'%Nb,'kmol/m^2.s'\n", + "#Answers may vary due to round off errors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.8 pgno:27" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Value of pA1 is 0.937 atm\n" + ] + } + ], + "source": [ + "#Equimolar counterdiffusion in an interconnected system\n", + "\n", + "#given values\n", + "from math import exp\n", + "V1 = 3000 #in cm^3\n", + "V2 = 4000 #in cm^3\n", + "Dab = 0.23 #in cm^2/s\n", + "Dba = 0.23 #in cm^2/s\n", + "l1 = 4 #in cm\n", + "d1 = 0.5 #in cm\n", + "l2 = 2 #in cm\n", + "d2 = 0.3 #in cm\n", + "pA3 = 1 #in atm\n", + "#unknowns\n", + "# pA1 and pA2\n", + "# dpA1bydt = (Dab/V1*l1)*((pA1)-(pA2))*((math.pi*(d1**2))/4)\n", + "#on integrating using Laplace trandformation\n", + "# initial conditions\n", + "t=18000 #in seconds\n", + "pA1 = 1-0.57*(exp((-1.005)*(10**(-6))*t)-exp((-7.615)*(10**(-6))*t))\n", + "print 'Value of pA1 is %0.3f'%pA1,'atm'" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Example 2.10 pgno:34" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Value of flux of water vapour: 2.96E-05 kmol/m^2.s\n" + ] + } + ], + "source": [ + "#Diffusion of only one component in a three-component mixture\n", + "\n", + "#given values\n", + "from math import log\n", + "y1l = 0 #mol fraction of dry air\n", + "y10 = (17.53/760) #mol fraction of water\n", + "l = 1.5 #in mm\n", + "C = 0.0409 #in kmol/m^3 : calculated by P/RT\n", + "D12 = 0.923 #Diffusivity of hydrogen over water\n", + "D13 = 0.267 #Diffusivity of oxygen over water\n", + "y2 = 0.6 #mole fraction of hydrogen\n", + "y3 = 0.4 #mole fraction of oxygen\n", + "D1m = 1/((y2/D12)+(y3/D13)) #calculating mean diffusivity\n", + "Ni = (D1m*C*1000/(l*10000))*log((1-y1l)/(1-y10))\n", + "print 'Value of flux of water vapour: %0.2E'%Ni,'kmol/m^2.s'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.11 pgno:35" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Flux of ethane 4.804E-05 gmol/cm^2.s\n" + ] + } + ], + "source": [ + "#Multicomponent diffusion\n", + "\n", + "from math import log\n", + "#given data\n", + "y1 = 0.4 #mole fraction of ethane(1)\n", + "y2 = 0.3 #mole fraction of ethylene(2)\n", + "y3 = 0.3 #mole fraction of hydrogen(3)\n", + "#calculating D13\n", + "#The Lennard-Jones parameters are\n", + "sigma1 = 4.443 #in angstrom\n", + "sigma2 = 4.163 #in angstrom\n", + "sigma3 = 2.827 #in angstrom\n", + "e1byk = 215.7\n", + "e2byk = 224.7\n", + "e3byk = 59.7\n", + "sigma13 = (sigma1 + sigma3)/2 #in angstrom\n", + "e13byk = (e1byk*e3byk)**0.5\n", + "kTbye13 = 993/113.5\n", + "ohmD13 = 0.76 #from collision integral table\n", + "D13 = ((0.001858)*(993**1.5)*((1.0/30)+(1.0/2))**0.5)/((2)*(sigma13**2)*(ohmD13))\n", + "#calculating D23\n", + "sigma23 = (sigma2+sigma3)/2\n", + "kTbye23 = ((993/224.7)*(993/59.7))*0.5\n", + "ohmD23 = 0.762\n", + "D23 = (0.001858*(993**1.5)*((1.0/28)+(1.0/2))**0.5)/(2*(sigma23**2)*ohmD23)\n", + "D = (D13+D23)/2 #in cm^2/s\n", + "l = 0.15 #in cm\n", + "#at z=0 (bulk gas)\n", + "y10 = 0.6\n", + "y20 = 0.2\n", + "y30 = 0.2\n", + "#at z=l (catalyst surface)\n", + "y1l = 0.4\n", + "y2l = 0.3\n", + "y3l = 0.3\n", + "C = 2.0/(82.1*993) #calculated by P/RT\n", + "N1 = (D*C/l)*log((y10+y20)/(y1l+y2l))\n", + "print 'Flux of ethane %0.3E'%N1,'gmol/cm^2.s'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.12 pgno:43" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The liquid-film thickness is: 0.0004 m\n" + ] + } + ], + "source": [ + "#Liquid-phase diffusion\n", + "\n", + "#given data\n", + "from math import pi\n", + "rc = 5e-4 #in m\n", + "D = 7e-10 #in m^2/s\n", + "Cab = 1 #in kmol/m^3\n", + "Na = 3.15e-6 #in kmol/m^2.s\n", + "W = 4*pi*(rc**2)*Na #the rate of reaction\n", + "#let (rc+delta)/delta = 1\n", + "w1 = 4*pi*D*Cab*rc*1 #flux of the reactant to the surface of the catalyst\n", + "rcplusdelta = W/w1\n", + "delta = rc/(rcplusdelta-1) #stagnant liquid-film thickness \n", + "print 'The liquid-film thickness is: ',delta,'m'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.13 pgno:46" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tortuosity factor is: 2.5\n" + ] + } + ], + "source": [ + "#Diffusivity determination--diaphragm cell\n", + "\n", + "#given data\n", + "from math import log\n", + "from math import pi\n", + "V1 = 60.2 #in cm^3; volume of compartment 1\n", + "V2 = 59.3 #volume of compartment 2 in cm^3\n", + "Ca1i = 0.3 #initial concentration of KCl in compartment 1\n", + "Ca2i = 0 #initial concentration of KCl in compartment 2\n", + "Ca1f = 0.215 #final concentration of KCl in compartment 1\n", + "Ca2f = 0.0863 #final concentration of KCl in compartment 2\n", + "D = 1.51e-5 #diffusivity of KCl in cm^2/s\n", + "tf = 55.2*3600 #time of the experiment in s\n", + "#calcutaling cell constant\n", + "beta = (1/(D*tf))*log((Ca1i - Ca2i)/(Ca1f - Ca2f))\n", + "#diffusion of propionic acid\n", + "Cpa1i = 0.4 #initial concentration of propionic acid in compartment 1\n", + "Cpa2i = 0 #initial concentration of propionic acid in compartment 2\n", + "Cpa1f = 0.32 #final concentration of propionic acid in compartment 1\n", + "Cpa2f = 0.0812 #final concentration of propionic acid in compartment 2 by mass balance\n", + "tfp = 56.4*3600 #time for the experiment\n", + "Dp = (1/(beta*tfp))*log((Cpa1i-Cpa2i)/(Cpa1f-Cpa2f)) #diffusivity of the propionic acid\n", + "#calculating tortusity factor\n", + "A= (pi/4)*(3.5**2) #area of the diaphragm\n", + "epsilon = 0.39 #average porosity of the diaphragm\n", + "l = 0.18 #thickness of hte diaphragm\n", + "tou = (A*epsilon/(beta*l))*(1/V1 + 1/V2)\n", + "print 'Tortuosity factor is: ',round(tou,1)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-3-Convective_Mass_Transfer_and_Mass_Transfer_Coefficient.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-3-Convective_Mass_Transfer_and_Mass_Transfer_Coefficient.ipynb old mode 100644 new mode 100755 diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-3-Convective_Mass_Transfer_and_Mass_Transfer_Coefficient_1.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-3-Convective_Mass_Transfer_and_Mass_Transfer_Coefficient_1.ipynb old mode 100644 new mode 100755 diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-3.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-3.ipynb new file mode 100644 index 00000000..4e0cc29f --- /dev/null +++ b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-3.ipynb @@ -0,0 +1,284 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 3 : Convective Mass Transfer and Mass Transfer Coefficient" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.2 Page no. 80" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a)\n", + "(i) Mass transfer-coefficient is 2.161E-03 kmol/(m^2.s.dy)\n", + "(ii) Mass transfer-coefficient is 2.003E-03 kmol/(m^2.s.dy)\n", + "(iii) Mass transfer-coefficient is 0.0449 m/s\n", + "Coefficient of Fg: 0.0021 kmol/m^2.s\n", + "(b)\n", + "(i) kG: 2.400E-06 lbmol/s.ft^2.psi\n", + "(ii) kG: 1.344 lbmol/h.ft^2.atm\n", + "(iii) kG: 4.503E-02 lbmol/h.ft^2.inchHg\n", + "Thickness of the stagnant film is: 2.4E-04 m\n" + ] + } + ], + "source": [ + "#given data\n", + "from math import log\n", + "P = 900.3 #pressure in mmHg\n", + "R = 0.08317 #m^3.bar/kmol.k\n", + "T = 300 #in K\n", + "kG = 2.4E-6 #gas phase mass transfer coefficient\n", + "ky = P*kG\n", + "print '(a)'\n", + "print '(i) Mass transfer-coefficient is %0.3E'%ky,'kmol/(m^2.s.dy)'\n", + "pA1 = 0.0877 #vapor pressure of alochol in bar\n", + "pB1 = (1.2 - 0.0877)*760/1.013 #in mmHg\n", + "pA2 = 0\n", + "pB2 = 1.2*760/1.013 #in mmHg\n", + "kY = kG*pB1*pB2/P\n", + "print '(ii) Mass transfer-coefficient is %0.3E'%kY,'kmol/(m^2.s.dy)'\n", + "kc = kG*(760/1.013)*R*T\n", + "print '(iii) Mass transfer-coefficient is %0.4f'%kc,'m/s'\n", + "Fg = kG*(pB2-pB1)/(log(pB2/pB1))\n", + "print 'Coefficient of Fg: %0.4f'%Fg,'kmol/m^2.s'\n", + "print '(b)'\n", + "kGo = kG\n", + "kG1 = kG*2.2046*51.7/10.764\n", + "print '(i) kG: %0.3E'%kG,'lbmol/s.ft^2.psi'\n", + "kG2 = kG1*3600*14.69\n", + "print '(ii) kG: ',round(kG2,3),'lbmol/h.ft^2.atm'\n", + "kG3 = kG*2.2046*3600/(10.764*0.0393)\n", + "print '(iii) kG: %0.3E'%kG3,'lbmol/h.ft^2.inchHg'\n", + "pB2 = 1.2\n", + "pB1 = 1.2 - 0.0877\n", + "P = 1.2\n", + "Dab = 0.102*(1.013/1.185)*((300.0/273)**1.75)*1e-4 #Diffusivity value at 1.2bar and 300K\n", + "pBM = (pB2-pB1)/log(pB2/pB1)\n", + "kG4 = kG*(760/1.013)\n", + "d = Dab*P/(kG4*R*T*pBM)\n", + "print 'Thickness of the stagnant film is: %0.1E'%d,'m'\n", + "#Answers may vary due to round off error" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.5 Page no. 99" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Diffusivity of H2S in water at 25C Dab: 1.17E-09 m^2/s\n" + ] + } + ], + "source": [ + "#given data\n", + "Q = 13.2e-6 #liquid flow rate (pi*r^2*v)\n", + "l = 0.05 #length of the jet\n", + "W = 34 #Molecular weight of H2S\n", + "P = 1.03 #total pressure in the jet chamber\n", + "Cai = P*(0.1136) #kmol/m^3\n", + "Cab = 0\n", + "Rate = (4.42e-7)/W #in m^3/s\n", + "#let Dab = 1\n", + "Dab = 1\n", + "rate = 4*((Dab*Q*l)**0.5)*Cai\n", + "Dab = ((Rate/(4*Cai))**2)/(Q*l)\n", + "print 'Diffusivity of H2S in water at 25C Dab: %0.2E m^2/s'%Dab" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.6 Page no. 100" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Rate of absorption of CO2 from the bubbles per minute: 4.760E-05 gmol/min\n" + ] + } + ], + "source": [ + "#given data\n", + "from math import pi\n", + "tc = 1.0/20 #contact time of a liquid element with a gas bubble db/vb\n", + "Dab = 2.19e-5\n", + "kL = 2*(Dab/(pi*tc))**0.5 #Mass transfer coefficient\n", + "tr = 0.3/0.2 #residence time of a single bubble\n", + "r = 1.0/2 #radius of the bubble\n", + "vol = (4.0/3)*pi*(r**3) #volume of the bubble\n", + "area = 4*pi*(r**2) #surface area of the bubble\n", + "Cs = 1.493e-5 #solubility of CO2 water\n", + "Cb = 0\n", + "Amt = kL*area*(Cs-Cb)*tr #amount of CO2 absorbed from a single bubble during its residence time\n", + "Bub = 15/vol\n", + "rate = Amt*Bub\n", + "print 'Rate of absorption of CO2 from the bubbles per minute: %0.3E gmol/min'%rate\n", + "#Answer vary due to round off error" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.7 Page no.101" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a)\n", + "Film thickness: 2.16e-05 m\n", + "(b)\n", + "The contact time: 0.308 s\n", + "(c)\n", + "The fractional rate of surface renewal: 4.13 per sec\n" + ] + } + ], + "source": [ + "#given data\n", + "from math import pi\n", + "p = 2 #in atm\n", + "x = 2.0/1640 #mole fraction\n", + "W = 44*x + 18*(1-x) #Molecular wieght of the solution\n", + "sol = 997.0/W #Moles of solution per m^3\n", + "CO2 = 55.4*x #Moles of CO2 per m^3 solution\n", + "Cco = 2.3/44 #Concentration of the carbonated solution(kmol/m^3)\n", + "RoW = 1.0/(60*1000) #Volume rate of input of water(m^3/s)\n", + "RoA = RoW*Cco #rate of absorption of CO2 in the vessel(kmol/s)\n", + "V = 8e-3 #volume of the gas-liquid dispersion in the vessel(m^3)\n", + "a = 80 #specific interfacial area of contact between the dispersed gas snd the liquid(m^2/m^3)\n", + "#let kL = 1\n", + "kL = 1.0\n", + "Dab = 1.92e-9 #diffusivity of CO2\n", + "rateOA = V*a*(CO2-Cco)\n", + "kL = RoA/rateOA\n", + "#(a) part\n", + "delta = Dab/kL\n", + "print '(a)'\n", + "print 'Film thickness: %0.2e m'%delta\n", + "#(b) part\n", + "tc = (4*Dab)/(pi*(kL**2))\n", + "print '(b)'\n", + "print 'The contact time: %0.3f s'%tc\n", + "#(c) part\n", + "s = (kL**2)/(Dab)\n", + "print '(c)'\n", + "print 'The fractional rate of surface renewal: %0.2f per sec'%s" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 3.8 Page no. 104" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The effluent concentration: 1 kg/m^3\n" + ] + } + ], + "source": [ + "#given data\n", + "from math import exp\n", + "Cb1 = 0 #concentration of the benzoic acid at the inlet\n", + "Cs = 3.01 #concentration of the liquid in contact with the surface of a sphere\n", + "dp = 0.8 #diameter of the sphere\n", + "vo = 2.2 #superficial liquid velocity\n", + "nu = 0.0095 #kinematic viscosity\n", + "Dab = 1e-5 #diffusivity of the solute\n", + "e = 0.4 #bed voidage\n", + "h = 70 #height of the column\n", + "QbyA = 2.2 #liquid flow rate per unit area of the bed\n", + "Re = (dp*vo)/nu #Reynolds number\n", + "Sc = nu/Dab #Schmidt number\n", + "ejd = 0.25*((Re)**(-0.31)) #epsilon*jD\n", + "Sh = ejd*Re*(Sc**(1.0/3))/e #Sherwood number\n", + "kL = Sh*Dab/(dp)\n", + "a = 6*(1-e)/dp #specific interfacial velocity\n", + "Cb2 = Cs-((Cs)/exp(kL*a*h/(QbyA)))\n", + "print 'The effluent concentration: %i kg/m^3'%round(Cb2,1)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-4-Interphase_Mass_Transfer.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-4-Interphase_Mass_Transfer.ipynb old mode 100644 new mode 100755 diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-4-Interphase_Mass_Transfer_1.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-4-Interphase_Mass_Transfer_1.ipynb old mode 100644 new mode 100755 diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-4.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-4.ipynb new file mode 100644 index 00000000..9b2f69b0 --- /dev/null +++ b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-4.ipynb @@ -0,0 +1,566 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 4 : Interphase Mass Transfer" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.1 Page no. 133" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) The interfacial concentrations are\n", + " xi = 0.03044 and yi = 0.03653\n", + "\n", + "(b) The overall gas-phase coefficient, Ky = 2.502 kmol/(h)(m^2)(dy)\n", + " The overall liquid-phase coefficients, Kx = 3.002 kmol/(h)(m^2)(dy)\n", + "\n", + "(c) The local mass flux, Na = 0.025 kmol/(h)(m^2)\n", + " Fraction of the total mass transfer resistance in the gas-phase = 0.347\n", + " Fraction of the total mass transfer resistance in the liquid-phase = 0.653\n" + ] + } + ], + "source": [ + "#Overall coefficient and driving force\n", + "\n", + "yb = 0.04 #bulk concentration of A in the gas-phase\n", + "xbst = yb/1.2 #xb star(equilibrium value)\n", + "xb = 0.025 #actual concentration of the solute in the bulk liquid\n", + "m = 1.2 #slope of the equilibrium line\n", + "#on gas phase basis\n", + "diff1 = 0.04 - (1.2*xb)\n", + "#on liquid phase basis\n", + "diff2 = xbst - xb\n", + "\n", + "ky = 7.2 #local individual mass transfer coefficients\n", + "kx = 4.6\n", + "xi = 0.03044 #interfacial concentration\n", + "yi = 1.2*xi\n", + "\n", + "Ky = 1.0/((1.0/ky)+(m/kx)) #overall gas-phase coefficient\n", + "Kx = 1.0/((1.0/(m*ky) + (1.0/kx))) #overall liquid-phase coefficient\n", + "Na = ky*(yb - yi)\n", + "Mtrg = (1.0/ky)/(1.0/Ky) #fraction of the total mass transfer resistance in the gas-phase\n", + "Mtrl = (1.0/kx)/(1.0/Kx) #fraction of the total mass transfer resistance in the liquid-phase\n", + "print '(a) The interfacial concentrations are'\n", + "print ' xi = %0.5f'%xi,' and yi = %0.5f'%yi\n", + "print\n", + "print '(b) The overall gas-phase coefficient, Ky = %0.3f'%Ky,'kmol/(h)(m^2)(dy)'\n", + "print ' The overall liquid-phase coefficients, Kx = %0.3f'%Kx,'kmol/(h)(m^2)(dy)'\n", + "print\n", + "print '(c) The local mass flux, Na = %0.3f'%Na,'kmol/(h)(m^2)'\n", + "print ' Fraction of the total mass transfer resistance in the gas-phase = %0.3f'%Mtrg\n", + "print ' Fraction of the total mass transfer resistance in the liquid-phase = %0.3f'%Mtrl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.2 Page no. 134" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Given mass transfer flux is 1.2 kmol/(h)(m^2) and Theorectical flux is 1.417\n", + "The actual overall coefficient is 21.43 kmol/(h)(m^2)(dy)\n", + "The interfacial resistance is 0.00714 (h)(m^2)(dy)/kmol\n" + ] + } + ], + "source": [ + "#Interfacial resistance to mass transfer\n", + "\n", + "#local individual mass transfer coefficients\n", + "ky = 60\n", + "kx = 35\n", + "#slope of the equilibrium line\n", + "m = 0.8\n", + "#local mass transfer flux\n", + "Nag = 1.2\n", + "yb = 0.08\n", + "xb = 0.03\n", + "ybst = m*xb\n", + "Ky = 1.0/((1.0/ky)+(m/kx)) #overall mass transfer coefficient\n", + "Na = Ky*(yb - ybst) #theoretical flux\n", + "print 'Given mass transfer flux is %0.1f'%Nag,'kmol/(h)(m^2) and Theorectical flux is %0.3f'%Na\n", + "Kytrue = (Nag)/(yb - m*xb)\n", + "resis = (1/Kytrue) - (1/Ky)\n", + "print 'The actual overall coefficient is %0.2f'%Kytrue,'kmol/(h)(m^2)(dy)'\n", + "print 'The interfacial resistance is %0.5f'%resis,'(h)(m^2)(dy)/kmol'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.3 Page no. 134" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) Flux of the solute, Na = 0.01919kmol/(h)(m^2)\n", + "(b) The local flux, Na = 0.00124\n", + "(c) The overall liquid-phase mass transfer coefficient is, Kx = 21.55kmol/(h)(m^2)(dx)\n", + "(d) Individual gas-phase driving force = 0.0037 mole fraction\n", + " Difference of partial pressure = 0.00536 bar\n", + " Overall Gas-phase driving force = 0.0272\n" + ] + } + ], + "source": [ + "#Application to a gas-liquid system\n", + "\n", + "P = 1.45 #Total pressure\n", + "mp = 3.318e4 #slope of the equilibrium relation given in the terms of partial pressure\n", + "xs = 0.065 #mole fraction of the solute in the bulk gas\n", + "pb = P*xs #partial pressure of the solute A in the bulk gas\n", + "T = 303 #Temperature of the falling water\n", + "R = 0.08317 #universal gas constant\n", + "kc = 90.3 #gas-phase mass transfer coefficient\n", + "ky = P*kc/(R*T) #gas-phase mass transfer coefficient\n", + "xi = 0.00201 #interfacial concentration of the solute in the liquid\n", + "yb = xs\n", + "fr = 0.136 #fraction of the gas-phase resistance\n", + "pi = mp*xi #in mmHg\n", + "pi = pi*1.013/760 #in bar\n", + "yi = pi/P\n", + "m = mp/(P*(760/1.013))\n", + "Na = ky*(yb - yi)\n", + "print '(a) Flux of the solute, Na = %0.5fkmol/(h)(m^2)'%Na\n", + "gR = (1/ky)\n", + "tmR = gR/0.136\n", + "lR = tmR*(1-0.136)\n", + "kx = m/lR\n", + "Nanew = xi - (Na/kx)\n", + "print '(b) The local flux, Na = %0.5f'%Nanew\n", + "Kx = 1/((1/kx) + (1/(m*ky)))\n", + "print '(c) The overall liquid-phase mass transfer coefficient is, Kx = %0.2fkmol/(h)(m^2)(dx)'%Kx\n", + "deltay = yb - yi\n", + "deltap = P*deltay\n", + "deltayO = yb - m*Nanew\n", + "print '(d) Individual gas-phase driving force = %0.4f mole fraction'%deltay\n", + "print ' Difference of partial pressure = %0.5f bar'%deltap\n", + "print ' Overall Gas-phase driving force = %0.4f'%deltayO\n", + "#Answers may vary very little due to round off error" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Example 4.4 Page no. 136" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) Concentration of SO2 in the effluent solution: 1.495e-03 mole fraction\n", + " Liquid phase mass transfer coefficient: 25.7143 kmol/(h)(m^2)(dx)\n", + " The surface renewal rate is: 10.9474 per second\n", + "(b) New flow rate of water through the cell: 91.3 ml/min\n" + ] + } + ], + "source": [ + "#Mass transfer in a continuous-stirred cell\n", + "\n", + "from sympy.solvers import solve\n", + "from sympy import Symbol\n", + "Yin = 0.142/(1 - 0.142) #14.2% SO2 was in gas flow rate\n", + "Yout = 0.11/(1 - 0.11) #As 11% SO2 is in outlet gas at steady state\n", + "Qair = 0.0535 #on SO2-free basis(flow rate)\n", + "ABspt = Qair*(Yin - Yout) #Rate of absorption\n", + "Qwater = 27 #Water flow rate(in ml/min)\n", + "Qwater = Qwater/18 #in gmol/min\n", + "xb = ABspt/1.5 #bulk concentration of the liquid\n", + "print '(a) Concentration of SO2 in the effluent solution: %0.3e mole fraction'%xb\n", + "yb = 0.11 #bulk concentration of the gas-phase\n", + "m = 31.3 #slope of the equilibrium concentratin line\n", + "ybst = m*xb\n", + "Dab = 1.51e-5 #diffusivity of SO2 in water\n", + "ky = 3.8 #gas-phase mass transfer coefficient\n", + "ABspt = ABspt*60/1000 #in kmol/h\n", + "Area = 31.5/10000 #in m^2\n", + "Ky = ABspt/(Area*(yb-ybst)) #overall mass-transfer coefficient\n", + "kx = m/((1/Ky)-(1/ky))\n", + "print ' Liquid phase mass transfer coefficient: %0.4f kmol/(h)(m^2)(dx)'%kx\n", + "#to calculate surface renewal rate\n", + "C = 1.0/(18.0/1000) #in kmol/m^3\n", + "kl = kx/C\n", + "kl = kl*100/3600\n", + "s = (kl*kl)/Dab\n", + "print ' The surface renewal rate is: %0.4f per second'%s\n", + "yb=0.1\n", + "nABspt = Qair*(Yin - (yb/0.9))\n", + "var = Symbol('var')\n", + "ybst = solve(nABspt*0.001*60 - Ky*Area*(yb-var),var)\n", + "xb = ybst[0]/m\n", + "Q = nABspt*18/xb\n", + "print '(b) New flow rate of water through the cell: %0.1f ml/min'%Q\n", + "#Answers may vary due to round-off error" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.5 Page no. 137" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": { + "collapsed": false, + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) Interfacial concentration of the phases are xi = 0.00222 and yi = 0.0157.\n", + "(b) Ky = 7.28\n", + " Kx = 41.2\n", + " Na = 0.065\n" + ] + }, + { + "data": { + "image/png": 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VCTh3GPXA2Z6/4jRrJnf19yjO/vIrTvPKUpzq6ASzTmpxHstVnEcOCE7fpY+BEVzkOTqq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\nrzdK2iA99onADulx6yW9kNbrW+iSk6SfSqpLz3m+pEslbZp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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#Graphical determination of interfacial concentration\n", + "\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "from sympy.solvers import solve\n", + "from sympy import Symbol\n", + "#equilibrium data\n", + "p = [0.6,1.7,4.7,8.1,11.8,19.7,36,52,79] #partial pressure\n", + "g = [0.02,0.05,0.1,0.15,0.2,0.3,0.5,0.7,1.0] #g SO2 per 100g water\n", + "P = 4.5 #total pressure\n", + "kx = 80 #gas-phase mass transfer coefficients\n", + "ky = 15 #liquid-phase mass transfer coefficients\n", + "P = P*760/1.013 #in mmHg\n", + "x = []\n", + "y = []\n", + "i = 0\n", + "for i in range(0,len(p)):\n", + " y.append(p[i]/P)\n", + "for i in range(0,len(g)):\n", + " x.append(((g[i]/64)/((g[i]/64)+(100/18))))\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(111)\n", + "plt.plot(x,y,label='Exact plot')\n", + "#Point P\n", + "xb = 0.0014 #the bulk concentration of two phases at the given locations\n", + "yb = 0.02\n", + "slope = -80.0/15\n", + "z = np.polyfit(x,y,2)\n", + "f = np.poly1d(z)\n", + "#calculate new x's and y's\n", + "x_new = np.linspace(x[0],x[-1],50)\n", + "y_new = f(x_new)\n", + "plt.plot(x_new,y_new,'r',label='After cuvefitting')\n", + "#finding the intersection point\n", + "xs = Symbol('xs')\n", + "x_int = solve(z[0]*xs**2 + z[1]*xs + z[2] + 5.3*xs - 0.0275,xs)\n", + "y_int = slope*x_int[1] + 0.0275\n", + "plt.plot(xb,yb,'bo')\n", + "plt.plot(x_int[1],y_int,'bo')\n", + "plt.plot((xb,x_int[1]),(yb,y_int),'b-')\n", + "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n", + "plt.xlabel('mol fraction \"x\"',fontsize=16)\n", + "plt.ylabel('mol fraction \"y\"',fontsize=16)\n", + "plt.title('Plot of equilibrium line and calculating interfacial concentration',fontsize=14)\n", + "xy=(xb,yb)\n", + "ax.annotate('(%s, %s)' % xy, xy=xy, textcoords='data')\n", + "xint = '%0.5f'%x_int[1]\n", + "yint = '%0.4f'%y_int\n", + "xy=(xint,yint)\n", + "ax.annotate('(%s, %s)' % xy, xy=xy, textcoords='data')\n", + "print '(a) Interfacial concentration of the phases are xi = %0.5f'%x_int[1],' and yi = %0.4f.'%y_int\n", + "m = 5.65 #taking the equilibrium line almost linear near interfacial concentration\n", + "Ky = 1.0/((1.0/15)+(m/80))\n", + "Kx = 1.0/((1.0/(m*15))+(1.0/80))\n", + "Na = ky*(yb-y_int)\n", + "print '(b) Ky = %0.2f'%Ky\n", + "print ' Kx = %0.1f'%Kx\n", + "print ' Na = %0.3f'%Na\n", + "#Answers may vary due to round-off errors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.6 Page no. 148" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Operating line is Yn+1 = 1.455Xn + 0.001360\n", + "Number of real trays = 59\n" + ] + } + ], + "source": [ + "#Number of trays for countercurrent contact\n", + "\n", + "from math import log\n", + "from sympy import Symbol\n", + "F_C = 0.12 #feed concentration\n", + "Gs = 6000*(1-F_C) #feed rate on solute free basis\n", + "s = 6000*F_C #mass of solute entering\n", + "Yn = F_C/(1-F_C) #feed concentration\n", + "Y1 = 0.00136 #exit concentration\n", + "Xo = 0 #entering solvent does not have any solute in it\n", + "Ls = 7685 #solvent input rate\n", + "#doing mass balance\n", + "X1 = Gs*(Yn - Y1)/Ls #exit concentration of solute\n", + "Yn = Symbol('Yn+1')\n", + "sl = (Ls/Gs)\n", + "print 'Operating line is ',Yn,' = %0.3fXn'%sl,' + %f'%Y1\n", + "#Since the equilibrium line and operating lines are linear\n", + "#Therefore we can calculate the number of trays using Kremser equation\n", + "Yn = F_C/(1-F_C)\n", + "alpha = 1.32 #slope of the equilibrium line \n", + "A = Ls/(alpha*Gs) #Absorption factor\n", + "#using Kremser equation\n", + "N = log(((Yn-(alpha*Xo))/(Y1-(alpha*Xo)))*(1-(1.0/A))+(1.0/A))/log(A)\n", + "Nom = N/0.4\n", + "print 'Number of real trays = %d'%Nom" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Example 4.7 Page no. 151" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) The test data fit the Freundlich adsorption isotherm in the form Y = aX^B\n", + " After fitting the data alpha is 0.184 and beta is 1.468\n", + "(b) Amount of adsorbent required 609.545 kg\n" + ] + } + ], + "source": [ + "#Batch adsorption from a solution\n", + "\n", + "%matplotlib inline\n", + "from math import log\n", + "from math import exp\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "cl = [15,40,60,100,135,210,325,450] #grams of clay used\n", + "pA = [9.1,7.81,6.93,5.66,4.76,3.38,2.44,1.48] #% A in the solution in equilibrium\n", + "i=0\n", + "X = []\n", + "Y = []\n", + "for i in range(0,len(cl)):\n", + " X.append(log((100-((90000/(100-pA[i]))-900))/cl[i]))\n", + " Y.append(log(((90000/(100-pA[i]))-900)/900))\n", + "#fitting the log-log data with degree 1\n", + "z = np.polyfit(X,Y,1)\n", + "f = np.poly1d(z)\n", + "print '(a) The test data fit the Freundlich adsorption isotherm in the form Y = aX^B'\n", + "print ' After fitting the data alpha is %0.3f'%exp(z[1]),' and beta is %0.3f'%z[0]\n", + "ads = 90 #amount of solute to be removed(in kg)\n", + "solv = 900 #amount of water remained(in kg)\n", + "Y = 10.0/solv\n", + "#putting in Freundlich adsorption isotherm\n", + "m = 90.0/(Y/exp(z[1]))**(1/z[0])\n", + "print '(b) Amount of adsorbent required %0.3f kg'%m\n", + "#Answers may vary due to round-off error" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.9 Page no. 154" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) Amount of solvent B required in single stage contact is 4306.7\n", + "(b) The total amount of extracting solvent required is 1166 kg\n", + "(c) Required amount of solvent is 679.03 kg\n" + ] + } + ], + "source": [ + "#Multistage crosscurrent contact\n", + "\n", + "from sympy import Symbol\n", + "from sympy.solvers import solve\n", + "from math import log\n", + "Ls = 1000*(1-0.15) #amount of the carrier phase in the feed\n", + "Xo = 15.0/85 #feed concentration\n", + "e_con = 0.15*0.05/0.85 #exit concentration\n", + "Y1 = 3.75*e_con #equilibrium concentration\n", + "Yo = 0\n", + "Gs = 850*(Xo-e_con)/Y1\n", + "print '(a) Amount of solvent B required in single stage contact is %0.1f'%Gs\n", + "#an ideal three-stage crosscurrent cascade\n", + "#X1,X2,X3 are the intermediate concentrations\n", + "Gsn = Symbol('Gsn')\n", + "X1 = Symbol('X1')\n", + "X1 = solve(850*(0.1765-X1)-Gsn*3.75*X1,X1)\n", + "X2 = Symbol('X2')\n", + "X2 = solve(850*(X2-0.00882)-Gsn*3.75*0.00882,X2)\n", + "Gsn = solve(850*(X1[0]-X2[0])-Gsn*3.75*X2[0],Gsn)\n", + "nGs = 3*Gsn[0] #total amount of solvent\n", + "print '(b) The total amount of extracting solvent required is %0.0f kg'%nGs\n", + "#using material balance for nth stage and then integrating from X= Xo to X = Xf = 0.00882\n", + "Gs = (850/3.75)*log(Xo/e_con)\n", + "print '(c) Required amount of solvent is %0.2f kg'%Gs\n", + "#Answers may vary due to round-off error" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 4.11 Page no. 158" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Flux of the drug, Na = 2.72e-03 mg/cm^2.h\n" + ] + } + ], + "source": [ + "#Rate of drug delivery\n", + "\n", + "Cml = 0.513 #solubility of progesterone in the polymer(mg/cm^3)\n", + "beta = 0.022 #partition coefficient\n", + "Clb = 0 #drug concentration in the body fluid\n", + "Dm = 5.94e-3 #diffusivity of the drug in the polymer(in cm^2/h)\n", + "Dl = 2.08e-3 #diffudivity of the drug in the body(cm^2/h)\n", + "lm = 0.08 #thickness of the silicone membrane(cm)\n", + "dl = 0.008 #thickness of the diffusion fluid layer(cm)\n", + "Na = (beta*Cml - Clb)/((beta*lm/Dm)+(dl/Dl))\n", + "print 'Flux of the drug, Na = %0.2e mg/cm^2.h'%Na" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-5-Gas-Liquid_Contacting_Equipment.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-5-Gas-Liquid_Contacting_Equipment.ipynb old mode 100644 new mode 100755 diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-5-Gas-Liquid_Contacting_Equipment_1.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-5-Gas-Liquid_Contacting_Equipment_1.ipynb old mode 100644 new mode 100755 diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-5.ipynb b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-5.ipynb new file mode 100644 index 00000000..42cb1f19 --- /dev/null +++ b/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/Chapter-5.ipynb @@ -0,0 +1,259 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 5 : Gas-Liquid Contacting Equipment" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.1 Page no. 201" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(a) Tower diameter by Fair's method is 6.42 ft\n", + " Flooding velocity by Fair's method is 5 ft\n", + " Flooding velocity by Kister ans Haas method is 4.86 ft/s\n", + " It is very close that is obtained by Fairs method and is acceptable\n", + "(b) Downcomer area = 1.767 ft^2 and downcomer liquid velocity = 0.105 ft/s\n", + " These are acceptable values. So we keep the revised column diameter at Dc = 6.12 ft\n", + "(c) Number of holes = 3004 placed on a triangular pitch\n", + "(d) Select an outlet weir height of hw = 2 inches on the tray\n", + "(e) Dry tray pressure drop, hd = 1.75 inches of liquid\n", + " how = 0.92 inch\n", + " pressure drop for flow of the vapour through the liquid\n", + " head loss for liquid flow below the downcomer flow, had = 0.85 inch\n", + " total pressure drop = 7.27 inch of liquid\n", + " The rate of entrainment is 0.0357 mol per mol gross downflow\n", + " The corresponding vapour velocity at the hole at weeping is 22.5 ft/s\n", + "Total column height = 60 ft\n" + ] + } + ], + "source": [ + "#Design of a sieve tray\n", + "\n", + "from math import pi\n", + "from math import sqrt\n", + "tL = 14100.0 #top liquid rate(kg/h)\n", + "bL = 15300.0 #Bottom liquid rate(kg/h)\n", + "tG = 23300.0 #top vapour rate(kg/h)\n", + "bG = 24500.0 #Bottom vapour rate(kg/h)\n", + "phoL = 810.0 #liquid density(kg/m^3)\n", + "phoG = 2.65 #average vapour density(kg/m^3)\n", + "sig = 20.5 #liquid surface tension(dyne/cm)\n", + "T = 82.0 #Temperature\n", + "p = 18.0 #average pressure at the column top(psia)\n", + "#Fair's method\n", + "Flv = (bL/bG)*(phoG/phoL)**(0.5) #Flow parameter\n", + "Csb = 0.285 #Souders-Brown flooding constant\n", + "usfl = Csb*((20/sig)**0.2)*(((50.4-0.165)/(0.165))**0.5) #flooding velocity\n", + "us = 5*0.7 #operating velocity when operating velocity is 70% of flooding velocity\n", + "Vfl = (bG/phoG)*35.315 #Volumetric flow rate of the vapour\n", + "Aa = Vfl/(us*3600)\n", + "fd = 0.2 #taking fractional downcomer area\n", + "At = Aa/(1-fd) #Tower cross-section\n", + "Dc = (4*32.4/pi)**(0.5) #Tower diameter\n", + "print \"(a) Tower diameter by Fair's method is %0.2f ft\"%Dc\n", + "print \" Flooding velocity by Fair's method is %0.0f ft\"%usfl\n", + "\n", + "#Kister and Haas method\n", + "dh = 3.0/8 #hole diameter\n", + "Af = 0.1 #fractional hole area on the tray\n", + "Dc = 6\n", + "lw = 0.727*Dc\n", + "L = bL/(0.81*3.78*60) #Liquid rate(gpm)\n", + "Ql = 83.3/(lw*12) #gpm per inch\n", + "fh = 0.1\n", + "hctw = (0.29*(0.1**-0.791)*(dh**0.833))/(1+(0.0036*(1.6**-0.59)*(0.1**-1.79)))\n", + "n = 0.0231*(dh/0.1)\n", + "hct = hctw*(62.2/50.4)**(0.5*(1-0.0866))\n", + "Csb = 0.144*((dh*dh*20.5/50.4)**0.125)*((0.165/50.4)**0.1)*((18/0.749)**0.5)\n", + "usfl = Csb*((50.4-0.165)/0.165)**0.5\n", + "print ' Flooding velocity by Kister ans Haas method is %0.2f ft/s'%usfl\n", + "print ' It is very close that is obtained by Fairs method and is acceptable'\n", + "#(b)Check of the estimated downcomer area\n", + "area = 3.38 #Estimated downcomer area\n", + "liq_f = 15300*35.315/(810*3600) #The clear liquid flow rate\n", + "liq_v = liq_f*area #The downcomer liquid velocity\n", + "d_vol = area*18/12 #Downcomer volume\n", + "res_t = d_vol/liq_f #Residence time\n", + "n_ar = Aa/(1-(2*0.06)) #Revised tower cross-section\n", + "Dc = (4*n_ar/pi)**0.5 #Tower diameter\n", + "d_area = n_ar*0.06 #Downcomer area\n", + "lw = 3.75 #Weir length\n", + "d_liqv = liq_f/d_area #downcomer liquid velocity\n", + "print '(b) Downcomer area = %0.3f ft^2'%d_area,' and downcomer liquid velocity = %0.3f ft/s'%d_liqv\n", + "print ' These are acceptable values. So we keep the revised column diameter at Dc = %0.2f ft'%Dc\n", + "#(c)Effective bubbling area and layout of the holes\n", + "eff_area = Aa-3 #effective bubbling area\n", + "frac_area = 0.905*(1.0/3)*(1.0/3)\n", + "tot_harea = eff_area*frac_area\n", + "n_holes = tot_harea/((pi/4)*((3.0/96)**2))\n", + "print '(c) Number of holes = %0.0f placed on a triangular pitch'%n_holes\n", + "#(d)Wier height\n", + "hw = 2\n", + "print '(d) Select an outlet weir height of hw = %0.0f inches on the tray'%hw\n", + "#(e)Pressure drop calculation\n", + "uh = Vfl/(tot_harea*3600) #Vapour velocity through the holes\n", + "thick = 3.0/16 #select a tray thickness\n", + "thbyD = thick/(3.0/8) #tray thickness/hole dia\n", + "Co = 0.73 #the orifice coefficient\n", + "hd = (0.186/(Co**2))*(0.165/50.4)*(39.1**2) #Dry tray pressure drop\n", + "print '(e) Dry tray pressure drop, hd = %0.2f inches of liquid'%hd\n", + "Ql = 83.3/(lw*12) #in gpm per inch of weir length\n", + "Fw = 1.27 #weir correction factor\n", + "how = 0.48*Fw*(Ql**(2.0/3)) \n", + "print ' how = %0.2f inch'%how\n", + "hc = hw + how\n", + "us = 326500/(22.9*3600)\n", + "beta = 0.6\n", + "hl = 0.6*2.92 #first calculate us and us(pg^0.5) and then from figure take beta\n", + "print ' pressure drop for flow of the vapour through the liquid'\n", + "Ada = 0.5*3.75/12 #area for liquid flow\n", + "had = 0.03*(83.3/(100*Ada))**2 \n", + "print ' head loss for liquid flow below the downcomer flow, had = %0.2f inch'%had\n", + "print ' total pressure drop = %0.2f inch of liquid'%(hc+hd+hl+had)\n", + "phi = (bL/bG)*(0.165/50.4)**0.5\n", + "print ' The rate of entrainment is %0.4f mol per mol gross downflow'%phi\n", + "sig = 20.5 #in dyne/cm\n", + "phol = 50.4 #lb/ft^3\n", + "dH = 3.0/8 #in inch\n", + "hsig = (0.04*sig)/(phol*dH) \n", + "hd = 0.58\n", + "uh = sqrt(((0.73**2)/0.186)*(50.4*hd/0.165))\n", + "print ' The corresponding vapour velocity at the hole at weeping is %0.1f ft/s'%uh\n", + "#column height\n", + "height = 29*1.5\n", + "ex_sp = 3*0.5\n", + "tot_h = 43.5+1.5+1.5+9+4\n", + "#total column height will be tray spacing + extra space for feed trays\n", + "# + extra space at trays with manholes + bottom space + top space\n", + "print 'Total column height = %0.0f ft'%tot_h\n", + "#Answers may vary due to round off error" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Example 5.2 Page no. 237" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Tower diameter when raschig ring is used as packing material, Dc = 0.90 m\n", + "Tower diameter, Dc when Pall ring is used, = 0.68 m\n", + "Power requirement is 287.25W\n", + "Actual Power requirement is 441.92W\n", + "volume fraction liquid holdup in the bed 0.0725 m^3 liquid per m^3 bed volume\n" + ] + } + ], + "source": [ + "#Design of packed tower\n", + "\n", + "from math import pi\n", + "from math import sqrt\n", + "L = 37525 #Liquid rate\n", + "G = 1500.0 #gas rate\n", + "M = 0.9*28.8 + (0.1*64) #average molecular weight of the feed gas\n", + "R = 0.08317 #gas constant\n", + "T = 303 #in K\n", + "P = 1.013 #in bar\n", + "phoG = P*M/(R*T) #kg/m^3\n", + "phoG_c = 0.081 #in lb/ft^3\n", + "muL = 0.81 #liquid viscosity\n", + "st = 70 #surface tension\n", + "phoL = 996 #in kg/m^3\n", + "phoL_c = 62 #in lb/ft^3\n", + "Flv = (L/G)*(phoG/phoL)**0.5\n", + "#Calculation of column diameter using raschig ring as packing material\n", + "dp = 3.0/4 #size of packing material\n", + "cp = 0.021 #from Eckert's GPDC chart(capacity parameter)\n", + "pwbypl = 1 #pho_w by pho_l\n", + "Fp = 94.5 #packing factor(in per ft)\n", + "gc = 4.18e8 #in ft/h^2\n", + "Gdash = sqrt((cp*phoG_c*phoL_c*gc)/(Fp*pwbypl*(muL**0.2)))\n", + "op_Gdash = Gdash*0.7\n", + "op_Gdash = op_Gdash*0.453592/(0.3048*0.3048)\n", + "tow_cross = G/op_Gdash\n", + "Dc = sqrt(4*tow_cross/pi)\n", + "print 'Tower diameter when raschig ring is used as packing material, Dc = %0.2f m'%Dc\n", + "#Calculation of column diameter when 50mm Pall ring is used as packing material\n", + "cp = 0.52 #capacity parameter from chart\n", + "Fp = 25 #flow parameter\n", + "v = 0.81 #liquid viscosity\n", + "Cs = cp/((Fp**0.5)*(v**0.05)) \n", + "usG = Cs*sqrt((phoL - phoG)/phoG) #superficial gas velocity\n", + "usG = usG*0.3048 \n", + "Gflow = G/(phoG*3600) #volumeteric gas flow rate\n", + "tow_cros = Gflow/usG #tower cross section\n", + "Dc = sqrt(4*tow_cros/pi) #tower diameter\n", + "print 'Tower diameter, Dc when Pall ring is used, = %0.2f m'%Dc\n", + "P_drop = 0.2*(5.0/0.3048) #pressure drop across the bed of 5m height\n", + "op_Pdrop = P_drop*1.1\n", + "op_Pdrop = op_Pdrop*0.0254*phoL*9.81\n", + "G = G/3600\n", + "Pow = (op_Pdrop/phoG)*G\n", + "print 'Power requirement is %0.2fW'%Pow\n", + "Pow = Pow/0.65\n", + "print 'Actual Power requirement is %0.2fW'%Pow\n", + "#calculation of operating liquid holup using Engel's equation\n", + "ap = 102\n", + "muL = 8.1e-4 #liquid viscosity\n", + "sigL = 0.07 #surface tension\n", + "usL = (L/phoL)/(0.362*3600) #superficial velocity\n", + "hLo = 0.93*(((usL**2)*102/9.81)**(1.0/6))*(((muL**2)*(ap**3)/((phoL**2)*9.81))**(1.0/10))*((0.07*102*102/phoL*9.81)**1.0/8)\n", + "print 'volume fraction liquid holdup in the bed %0.4f m^3 liquid per m^3 bed volume'%hLo\n", + "#Answers may vary due to round off error" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/PRINCIPLES_OF_MASS_TRANSFER_AND_SEPARATION_PROCESS_by_Binay_K._Dutta/screenshots/chapter2_example_2.3_plot.png 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b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.10_6.ipynb new file mode 100644 index 00000000..7cd2fd61 --- /dev/null +++ b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.10_6.ipynb @@ -0,0 +1,280 @@ +{ + "metadata": { + "name": "chapter no.10.ipynb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 10:Theory of Failures" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.10.10.1,Page No.401" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P_e=300 #N/mm**2 #Elastic Limit in tension\n", + "FOS=3 #Factor of safety\n", + "mu=0.3 #Poissoin's ratio\n", + "P=12*10**3 #N Pull \n", + "Q=6*10**3 #N #Shear force\n", + "\n", + "#Calculations\n", + "\n", + "#Let d be the diameter of the shaft\n", + "\n", + "#Direct stress\n", + "#P_x=P*(pi*4**-1*d**3)**-1\n", + "#After substituting values and further simplifying we get\n", + "#P_x=48*10**3\n", + "\n", + "#Now shear stress at the centre of bolt\n", + "#q=4*3**-1*q_av\n", + "#After substituting values and further simplifying we get\n", + "#q=32*10**3*(pi*d**2)**-1\n", + "\n", + "#Principal stresses are\n", + "#P1=P_x*2**-1+((P_x*2**-1)**2+q**2)**0.5\n", + "#After substituting values and further simplifying we get\n", + "#p1=20371.833*(d**2)**-1\n", + "\n", + "#P2=P_x*2**-1-((P_x*2**-1)**2+q**2)**0.5\n", + "#After substituting values and further simplifying we get\n", + "#P2=-5092.984*(d**2)**-1\n", + "\n", + "#q_max=((P_x*2**-1)**2+q**2)**0.5\n", + "\n", + "#From Max Principal stress theory\n", + "#Permissible stress in Tension\n", + "P1=100 #N/mm**2 \n", + "d=(20371.833*P1**-1)**0.5\n", + "\n", + "#Max strain theory\n", + "#e_max=P1*E**-1-mu*P2*E**-1\n", + "#After substituting values and further simplifying we get\n", + "#e_max=21899.728*(d**2*E)**-1\n", + "\n", + "#According to this theory,the design condition is\n", + "#e_max=P_e*(E*FOS)**-1\n", + "#After substituting values and further simplifying we get\n", + "d2=(21899.728*3*300**-1)**0.5 #mm\n", + "\n", + "#Max shear stress theory\n", + "#e_max=shear stress at elastic*(FOS)**-1\n", + "#After substituting values and further simplifying we get\n", + "d3=(12732.421*6*300**-1)**0.5 #mm\n", + "\n", + "#Result\n", + "print\"Diameter of Bolt by:Max Principal stress theory\",round(d,2),\"mm\"\n", + "print\" :Max strain theory\",round(d2,2),\"mm\"\n", + "print\" :Max shear stress theory\",round(d3,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of Bolt by:Max Principal stress theory 14.27 mm\n", + " :Max strain theory 14.8 mm\n", + " :Max shear stress theory 15.96 mm\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.10.10.2.Page No.402" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "M=40*10**6 #N-mm #Bending moment\n", + "T=10*10**6 #N-mm #TOrque\n", + "mu=0.25 #Poissoin's ratio\n", + "P_e=200 #N/mm**2 #Stress at Elastic Limit\n", + "FOS=2\n", + "\n", + "#Calculations\n", + "\n", + "#Let d be the diameter of the shaft\n", + "\n", + "#Principal stresses are given by\n", + "\n", + "#P1=16*(pi*d**3)**-1*(M+(M**2+T**2)**0.5)\n", + "#After substituting values and further simplifying we get\n", + "#P1=4.13706*10**8*(d**3)**-1 ............................(1)\n", + "\n", + "#P2=16*(pi*d**3)**-1*(M-(M**2+T**2)**0.5)\n", + "#After substituting values and further simplifying we get\n", + "#P2=-6269718*(pi*d**3)**-1 ..............................(2)\n", + "\n", + "#q_max=(P1-P2)*2**-1\n", + "#After substituting values and further simplifying we get\n", + "#q_max=2.09988*10**8*(d**3)**-1\n", + "\n", + "#Max Principal stress theory\n", + "#P1=P_e*(FOS)**-1\n", + "#After substituting values and further simplifying we get\n", + "d=(4.13706*10**8*2*200**-1)**0.33333 #mm \n", + "\n", + "#Max shear stress theory\n", + "#q_max=shear stress at elastic limit*(FOS)**-1\n", + "#After substituting values and further simplifying we get\n", + "d2=(2.09988*10**8*4*200**-1)**0.33333\n", + "\n", + "#Max strain energy theory\n", + "#P_3=0\n", + "#P1**2+P2**2-2*mu*P1*P2=P_e**2*(FOS)**-1\n", + "#After substituting values and further simplifying we get\n", + "d3=(8.62444*10**12)**0.166666\n", + "\n", + "#Result\n", + "print\"Diameter of shaft according to:MAx Principal stress theory\",round(d,2),\"mm\"\n", + "print\" :Max shear stress theory\",round(d2,2),\"mm\"\n", + "print\" :Max strain energy theory\",round(d3,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of shaft according to:MAx Principal stress theory 160.52 mm\n", + " :Max shear stress theory 161.33 mm\n", + " :Max strain energy theory 143.2 mm\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.10.10.3,Page No.403" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "f_x=40 #N/mm**2 #Internal Fliud Pressure\n", + "d1=200 #mm #Internal Diameter\n", + "r1=d1*2**-1 #mm #Radius\n", + "q=300 #N/mm**2 #Tensile stress\n", + "\n", + "#Calculations\n", + "\n", + "#From Lame's Equation we have,\n", + "\n", + "#Hoop Stress\n", + "#f_x=b*(x**2)**-1+a ..........................(1)\n", + "\n", + "#Radial Pressure\n", + "#p_x=b*(x**2)**-1-a .........................(2)\n", + "\n", + "#the boundary conditions are\n", + "x=d1*2**-1 #mm \n", + "#After sub values in equation 1 and further simplifying we get\n", + "#40=b*100**-1-a ..........................(3)\n", + "\n", + "#Max Principal stress theory\n", + "#q*(FOS)**-1=b*100**2+a ..................(4)\n", + "#After sub values in above equation and further simplifying we get\n", + "\n", + "#From Equation 3 and 4 we get\n", + "a=80*2**-1\n", + "#Sub value of a in equation 3 we get\n", + "b=(f_x+a)*100**2\n", + "\n", + "#At outer edge where x=r_0 pressure is zero\n", + "r_0=(b*a**-1)**0.5 #mm\n", + "\n", + "#thickness\n", + "t=r_0-r1 #mm\n", + "\n", + "#Max shear stress theory\n", + "P1=b*(100**2)**-1+a #Max hoop stress\n", + "P2=-40 #pressure at int radius (since P2 is compressive)\n", + "\n", + "#Max shear stress\n", + "q_max=(P1-P2)*2**-1\n", + "\n", + "#According max shear theory the design condition is\n", + "#q_max=P_e*2**-1*(FOS)**-1\n", + "#After sub values in equation we get and further simplifying we get\n", + "#80=b*(100**2)**-1+a\n", + "#After sub values in equation 1 and 3 and further simplifying we get\n", + "b2=120*100**2*2**-1\n", + "\n", + "#from equation(3)\n", + "a2=120*2**-1-a\n", + "\n", + "#At outer radius r_0,radial pressure=0\n", + "r_02=(b2*a2**-1)**0.5\n", + "\n", + "#thickness\n", + "t2=r_02-r1\n", + "\n", + "#Result\n", + "print\"Thickness of metal by:Max Principal stress theory\",round(t,2),\"mm\"\n", + "print\" :Max shear stress thoery\",round(t2,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of metal by:Max Principal stress theory 41.42 mm\n", + " :Max shear stress thoery 73.21 mm\n" + ] + } + ], + "prompt_number": 2 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.1_1.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.1_1.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.1_2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.1_2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.1_3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.1_3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.1_4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.1_4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_1.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_1.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_5.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_5.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_6.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_6.ipynb new file mode 100644 index 00000000..a37ee3c9 --- /dev/null +++ b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.2_6.ipynb @@ -0,0 +1,2742 @@ +{ + "metadata": { + "name": "chapter no.2.ipynb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 2:Simple Stresses And Strains" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.1,Page No.14" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "P=45*10**3 #N #Load\n", + "E=200*10**3 #N/mm**2 #Modulus of elasticity of rod\n", + "L=500 #mm #Length of rod\n", + "d=20 #mm #Diameter of rod\n", + "\n", + "#Calculations\n", + "\n", + "A=pi*d**2*4**-1 #mm**2 #Area of circular rod\n", + "p=P*A**-1 #N/mm**2 #stress\n", + "e=p*E**-1 #strain\n", + "dell_l=(P*L)*(A*E)**-1\n", + "\n", + "#Result\n", + "print\"The stress in bar due to Load is\",round(p,5),\"N/mm\"\n", + "print\"The strain in bar due to Load is\",round(e,5),\"N/mm\"\n", + "print\"The Elongation in bar due to Load is\",round(dell_l,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The stress in bar due to Load is 143.23945 N/mm\n", + "The strain in bar due to Load is 0.00072 N/mm\n", + "The Elongation in bar due to Load is 0.36 mm\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.2,Page No.15" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "A=15*0.75 #mm**2 #area of steel tape\n", + "P=100 #N #Force apllied\n", + "L=30*10**3 #mm #Length of tape\n", + "E=200*10**3 #N/m**2 #Modulus of Elasticity of steel tape\n", + "AB=150 #m #Measurement of Line AB \n", + "\n", + "#Calculations\n", + "\n", + "dell_l=P*L*(A*E)**-1 #mm #Elongation\n", + "l=L+dell_l*10**-3 #mm #Actual Length \n", + "AB1=AB*l*L**-1 #m Actual Length of AB\n", + "\n", + "#Result\n", + "print\"The Actual Length of Line AB is\",round(AB1,2),\"m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Actual Length of Line AB is 150.0 m\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.3,Page No.15" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Let y be the yield stress\n", + "\n", + "y=250 #N/mm**2 #yield stress\n", + "FOS=1.75 #Factor of safety\n", + "P=140*10**3 #N #compressive Load\n", + "D=101.6 #mm #External diameter\n", + "\n", + "#Calculations\n", + "\n", + "p=y*(FOS)**-1 #N/mm**2 #Permissible stress\n", + "A=P*p**-1 #mm**2 #Area of hollow tube\n", + "\n", + "#Let d be the internal diameter of tube\n", + "d=-((A*4*(pi)**-1)-D**2)\n", + "X=d**0.5\n", + "t=(D-X)*2**-1 #mm #Thickness of steel tube\n", + "\n", + "#result\n", + "print\"The thickness of steel tube is\",round(t,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The thickness of steel tube is 3.17 mm\n" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.4,Page No.16" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=25 #mm #diameter of steel\n", + "L=200 #mm #length of stee\n", + "P=80*10**3 #KN #Load\n", + "P1=160*10**3 #N #Load at Elastic Limit\n", + "P2=180*10**3 #N #Max Load\n", + "L1=56 #mm #Total Extension\n", + "dell_l=0.16 #mm #Extension\n", + "\n", + "\n", + "#Calculations\n", + "\n", + "A=pi*d**2*4**-1 #Area of steel #mm**2\n", + "\n", + "p=P1*A**-1 #Stress at Elastic Limit #N/mm**2\n", + "E=P*L*(A*dell_l)**-1\n", + "\n", + "#result\n", + "print E" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "203718.327158\n" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.5,Page No.16" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=20 #mm #Diameter of bar\n", + "d2=14.7 #mm #Diameter at neck\n", + "L=200 #mm #guage Length \n", + "\n", + "#Calculations\n", + "\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,10,20,30,40,50,60]\n", + "Y1=[0,32,64,95,127,160,190]\n", + "Z1=[0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Extension in divisions\")\n", + "plt.ylabel(\"Load in kN\")\n", + "plt.show()\n", + "\n", + "A=pi*4**-1*d**2 #mm**2 #Area of Bar\n", + "A2=pi*4**-1*d2**2\n", + "\n", + "P=45 #KN #Load obtained from graph\n", + "dell=0.143 #mm #Divisions\n", + "\n", + "#Modulus of Elasticity\n", + "E=P*L*(dell*A)**-1 \n", + "\n", + "BL=93*10**3 #N #Breaking Load\n", + "\n", + "#Nominal stress at Breaking point\n", + "sigma=BL*A**-1 #KN/mm**2 \n", + "\n", + "#True stress at breaking Point\n", + "sigma1=BL*A2**-1\n", + "\n", + "#Percentage Elongation \n", + "dell_l=(A-A2)*A**-1*100\n", + "\n", + "#Result\n", + "print\"The Value of ELongation is\",round(E,2),\"N/mm**2\"\n", + "print\"The Nominal stress at the Breaking Point\",round(sigma,2),\"KN/mm**2\"\n", + "print\"The True stress at the Breaking Point\",round(sigma1,2),\"KN/mm**2\"\n", + "print\"The Percentage Reduction in Area is\",round(dell_l,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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gwAFOnDjBRx99xNatWys876vr+8tf/kKzZs2Ii4vDVHG/iq+u7bL09HT279/P\nhg0bWLx4Mdu3b6/wvC+v79KlS+zbt49nnnmGffv20ahRo0otpOtZn08kh9DQUHJzc53/zs3NJSws\nzMaI3CMkJISTJ08CUFBQQLNmzWyO6MaUlpYyaNAghg8fzsCBAwH/WyNAkyZNGDBgABkZGX6xvp07\nd7J+/Xpat25NcnIyW7ZsYfjw4X6xtstatGgBQNOmTXn44YfZvXu336wvLCyMsLAw7rzzTgAGDx7M\nvn37aN68eY3W5xPJoWvXrhw7doycnBwuXrzIH//4R5KSkuwOq84lJSWRmpoKQGpqqvMD1RcZYxgz\nZgwRERFMnDjR+bi/rPHUqVPOuz2+/fZbNm/eTFxcnF+sb+7cueTm5pKdnc2qVau47777ePfdd/1i\nbQDnz5/n7NmzAJSUlLBp0yaioqL8Zn3NmzenVatWHD16FIAPPviAzp07k5iYWLP1ueF6iFv87W9/\nM+3btzdt2rQxc+fOtTucG/b444+bFi1amKCgIBMWFmbeeecd8/XXX5s+ffqYdu3amYSEBPPNN9/Y\nHWatbd++3TgcDhMTE2NiY2NNbGys2bBhg9+s8dChQyYuLs7ExMSYqKgo84tf/MIYY/xmfZelpaWZ\nxMREY4z/rO3zzz83MTExJiYmxnTu3Nn5eeIv6zPGmAMHDpiuXbua6Oho8/DDD5vi4uIar0+b4ERE\npBKfaCuJiIhnKTmIiEglSg4iIlKJkoOIiFSi5CAiIpUoOYiISCVKDmKL+vXrExcX5/z6xS9+cc3X\nz507t85jyMjIYMKECXXyXgMGDODMmTO1/vng4GAA8vPzefTRR6/52vfff/+ax9bX5bokcGmfg9ii\ncePGzl2q7ni9r/H39YnvUeUgXuP06dN07NjRue0/OTmZpUuXMm3aNL799lvi4uIYPnw4AMuXL6d7\n9+7ExcXx05/+lPLycsD6C3z69OnExsbSo0cPvvzySwD+9Kc/ERUVRWxsLPHx8QCkpaVVGGQzcOBA\nYmJi6NGjB5mZmQDMmjWL0aNH07t3b9q0acOiRYtcxh4eHk5RURE5OTl06tSJp556isjISPr378+F\nCxcqvT47O5sePXoQHR3N9OnTnY/n5OQ4B0DdddddZGVlOZ+Lj48nIyOD3/3udzz77LNuWVdJSQkD\nBgwgNjaWqKgoVq9efd3//cTPeGAnt0gl9evXdx6rERsba1avXm2MMWbz5s2mR48eZuXKleb+++93\nvj44ONgVmkKpAAADpklEQVT5fVZWlklMTDSXLl0yxhgzbtw48/vf/94YY4zD4TB/+ctfjDHGTJky\nxcyZM8cYY0xUVJTJz883xhhz+vRpY4wxW7dudc4qGD9+vHn55ZeNMcZs2bLFxMbGGmOMmTlzpunZ\ns6e5ePGiOXXqlLntttucv/dK4eHh5uuvvzbZ2dmmQYMG5uDBg8YYY4YMGWKWL19e6fWJiYnm3Xff\nNcYYs3jxYuf6rpzx8frrr5uZM2caY4zJz893nr//29/+1jz77LN1vq7S0lKzZs0aM3bsWGecl99T\nAo8qB7HF9773Pfbv3+/8utxn79u3L5GRkYwfP56lS5e6/NkPP/yQjIwMunbtSlxcHFu2bCE7OxuA\nhg0bMmDAAAC6dOlCTk4OAD179mTkyJEsXbqUS5cuVXrP9PR0Z1XSu3dvvv76a86ePYvD4WDAgAEE\nBQVx22230axZs2rPwW/dujXR0dGVYrjSzp07SU5OBmDYsGEu3+fRRx9lzZo1AKxevbrCtQjz725w\nXa7ryy+/JDo6ms2bNzN16lR27NjBD37wg2uuVfyXkoN4lfLyco4cOUKjRo0oKiqq8nUjR450JpZ/\n/vOfzJgxA7DGk15Wr1495wfmm2++yZw5c8jNzaVLly4u39tUcfmtYcOGzu/r16/v8kP4SjfddFON\nXl+V0NBQbrvtNjIzM1m9ejWPPfYYUHG+SV2vq127duzfv5+oqCimT5/OK6+8UqvYxfcpOYhXef31\n1+ncuTMrVqxg1KhRzg/WoKAg5/d9+vRhzZo1fPXVV4DVVz9+/Pg13/ezzz6jW7duzJ49m6ZNm3Li\nxIkKz/fq1YsVK1YAVs++adOmNG7cuMoP1hvVs2dPVq1aBeD8va489thjzJ8/nzNnzhAZGQlU/LCv\n63UVFBRw880388QTT/D888+zb9++G1qn+K4GdgcggenyBebL7r//fn7yk5+wbNky9uzZQ6NGjbj3\n3nt59dVXmTlzJk899RTR0dF06dKFd999lzlz5tCvXz/Ky8sJCgpiyZIl/Md//EeFv6qvnHY1ZcoU\njh07hjGGvn37Eh0dzbZt25zPX75AGxMTQ6NGjZzn3l/vRLCrf29Vz122YMEChg4dyvz583nooYeq\n/PnBgwczYcIEZ2Xk7nVlZmbywgsvUK9ePRo2bMibb75Z7drFP+lWVhERqURtJRERqUTJQUREKlFy\nEBGRSpQcRESkEiUHERGpRMlBREQqUXIQEZFKlBxERKSS/wPlCfw1/C4iHwAAAABJRU5ErkJggg==\n", + "text": [ + "" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Value of ELongation is 200.33 N/mm**2\n", + "The Nominal stress at the Breaking Point 296.03 KN/mm**2\n", + "The True stress at the Breaking Point 547.97 KN/mm**2\n", + "The Percentage Reduction in Area is 45.98\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.6,Page No.19" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=40*10**3 #N #Load\n", + "L1=160 #mm #Length of Bar1\n", + "L2=240 #mm #Length of bar2\n", + "L3=160 #mm #Length of bar3\n", + "d1=25 #mm #Diameter of Bar1\n", + "d2=20 #mm #diameter of bar2\n", + "d3=25 #mm #diameter of bar3\n", + "dell_l=0.285 #mm #Total Extension of bar\n", + "\n", + "#Calculations\n", + "\n", + "E=P*4*(dell_l*pi)**-1*(L1*(d1**2)**-1+L2*(d2**2)**-1+L3*(d3**2)**-1)\n", + "\n", + "#Result\n", + "print\"The Young's Modulus of the material\",round(E,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Young's Modulus of the material 198714.72 N/mm**2\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.7,Page No.19" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "E1=2*10**5 #N/mm**2 #modulus of Elasticity of material1\n", + "E2=1*10**5 #N/mm**2 #modulus of Elasticity of material2\n", + "P=25*10**3 #N #Load \n", + "t=20 #mm #thickness of material\n", + "b1=40 #mm #width of material1\n", + "b2=30 #mm #width of material2\n", + "L1=500 #mm #Length of material1\n", + "L2=750 #mm #Length of material2\n", + "\n", + "#Calculations\n", + "\n", + "A1=b1*t #mm**2 #Area of materila1\n", + "A2=b2*t #mm**2 #Area of material2\n", + "\n", + "dell_l1=P*L1*(A1*E1)**-1 #Extension of Portion1\n", + "dell_l2=P*L2*(A2*E2)**-1 #Extension of portion2\n", + "\n", + "#Total Extension of Bar is\n", + "dell_l=dell_l1+dell_l2\n", + "\n", + "#Result\n", + "print\"The Total Extension of the Bar is\",round(dell_l,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Total Extension of the Bar is 0.39 mm\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.8,Page No.20" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=1000 #mm #Length of Bar\n", + "l=400 #mm #Length upto which bire is drilled \n", + "D=30 #mm #diameter of bar\n", + "d1=10 #mm #diameter of bore\n", + "P=25*10**3 #N #Load\n", + "dell_l=0.185 #mm #Extension of bar\n", + "\n", + "#Calculations\n", + "\n", + "L1=L-l #Length of bar above the bore\n", + "L2=400 #mm #Length of bore\n", + "\n", + "A1=pi*4**-1*D**2 #Area of bar\n", + "A2=pi*4**-1*(D**2-d1**2) #Area of bore\n", + "\n", + "E=P*dell_l**-1*(L1*A1**-1+L2*A2**-1)\n", + "\n", + "#Result\n", + "print\"The Modulus of ELasticity is\",round(E,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Modulus of ELasticity is 200735.96 N/mm**2\n" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.11,Page No.23" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "t=10 #mm #Thickness of steel\n", + "b1=60 #mm #width of plate1\n", + "b2=40 #mm #width of plate2\n", + "P=60*10**3 #Load\n", + "L=600 #mm #Length of plate\n", + "E=2*10**5 #N/mm**2\n", + "\n", + "#Calculations\n", + "\n", + "#Extension of taperong bar of rectangular section\n", + "dell_l=P*L*(t*E*(b1-b2))**-1*log(b1*b2**-1)\n", + "\n", + "A_av=(b1*t+b2*t)*2**-1 #Average Area #mm**2\n", + "dell_l2=P*L*(A_av*E)**-1 \n", + "\n", + "#PErcentage Error\n", + "e=(dell_l-dell_l2)*(dell_l)**-1*100\n", + "\n", + "#Result\n", + "print\"The Percentage Error is\",round(e,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Percentage Error is 1.35\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.12,Page No.23" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=1.5 #m #Length of steel bar\n", + "L1=1000 #m0 #Length of steel bar 1\n", + "L2=500 #m #Length of steel bar 2\n", + "d1=40 #Diameter of steel bar 1\n", + "d2=20 #diameter of steel bar 2\n", + "E=2*10**5 #N/mm**2 #Modulus of Elasticity\n", + "P=160*10**3 #N #Load\n", + "\n", + "#Calculations\n", + "\n", + "A1=pi*4**-1*d1**2 #Area of Portion 1\n", + "\n", + "#Extension of uniform Portion 1\n", + "dell_l1=P*L1*(A1*E)**-1 #mm\n", + "\n", + "#Extension of uniform Portion 2\n", + "dell_l2=4*P*L2*(pi*d1*d2*E)**-1 #mm\n", + "\n", + "#Total Extension of Bar\n", + "dell_l=dell_l1+dell_l2\n", + "\n", + "#Result\n", + "print\"The Elongation of the Bar is\",round(dell_l,2),\"mm\" " + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.14,Page No.25" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Portion AB\n", + "L_AB=600 #mm #Length of AB\n", + "A_AB=40*40 #mm**2 #Cross-section Area of AB\n", + "\n", + "#Portion BC\n", + "L_BC=800 #mm #Length of BC\n", + "A_BC=30*30 #mm #Length of BC\n", + "\n", + "#Portion CD\n", + "L_CD=1000 #mm #Length of CD\n", + "A_CD=20*20 #mm #Area of CD\n", + "\n", + "P1=80*10**3 #N #Load1\n", + "P2=60*10**3 #N #Load2\n", + "P3=40*10**3 #N #Load3\n", + "\n", + "E=2*10**5 #Modulus of Elasticity\n", + "\n", + "#Calculations\n", + "\n", + "P4=P1-P2+P3 #Load4\n", + "\n", + "#Now Force in AB\n", + "F_AB=P1\n", + "\n", + "#Force in BC\n", + "F_BC=P1-P2\n", + "\n", + "#Force in CD\n", + "F_CD=P4\n", + "\n", + "#Extension of AB\n", + "dell_l_AB=F_AB*L_AB*(A_AB*E)**-1\n", + "\n", + "#Extension of BC\n", + "dell_l_BC=F_BC*L_BC*(A_BC*E)**-1\n", + "\n", + "#Extension of CD\n", + "dell_l_CD=F_CD*L_CD*(A_CD*E)**-1\n", + "\n", + "#Total Extension\n", + "dell_l=dell_l_AB+dell_l_BC+dell_l_CD\n", + "\n", + "#Result\n", + "print\"The Total Extension in Bar is\",round(dell_l,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Total Extension in Bar is 0.99 mm\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.15,Page No.26" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=800 #mm #Length of bar\n", + "F1=30*10**3 #N #Force acting on the bar\n", + "F2=60*10**3 #N #force acting on the bar\n", + "L=800 #mm #Length of bar\n", + "d=25 #mm #diameter of bar\n", + "L_AC=275 #mm #Length of AC\n", + "L_CD=150 #mm #Length of CD\n", + "L_DB=375 #mm #Length of DB\n", + "E=2*10**5 #Pa #Modulus of elasticity\n", + "\n", + "#Calculations\n", + "\n", + "#Let P be the Reaction on tne Bar from support at A\n", + "\n", + "#Shortening of Portion AC\n", + "#dell_l_AC1=P*L_AC*(A*E)**-1\n", + "\n", + "#Shortening of Portion CD\n", + "#dell_l_CD1=(30+P)*L_CD*(A*E)**-1\n", + "\n", + "#Extension of Portion DB\n", + "#dell_l_DB1=(30-P)*L_DB*(A*E)**-1\n", + "\n", + "#Total Extensions=1*(A*E)**-1*(P*L_AC-(30+P)*L_CD+(30-P)*L_DB)\n", + "#As Supports are unyielding,Total Extensions=0\n", + "\n", + "#After substituting values in above equation and Further simplifying we get\n", + "P=(30*375-150*30)*800**-1\n", + "\n", + "#Reaction of support A\n", + "R_A=P\n", + "\n", + "#Reaction of support B\n", + "R_B=30-P\n", + "\n", + "#Cross-sectional Area\n", + "A=pi*4**-1*d**2\n", + "\n", + "#Stress in Portion AC\n", + "sigma1=P*10**3*A**-1 #N/mm**2\n", + "\n", + "#Stress in Portion CD\n", + "sigma2=(30+P)*10**3*A**-1 #N/mm**2\n", + "\n", + "#Stress in Portion DB\n", + "sigma3=(30-P)*10**3*A**-1 #N/mm**2\n", + "\n", + "#Shortening of Portion AC\n", + "dell_l_AC2=P*10**3*L_AC*(A*E)**-1 #mm \n", + "\n", + "#Shortening of Portion CD\n", + "dell_l_CD2=(30+P)*10**3*L_CD*(A*E)**-1 #mm \n", + "\n", + "#Extension of Portion DB\n", + "dell_l_DB2=(30-P)*10**3*L_DB*(A*E)**-1 #mm \n", + "\n", + "#result\n", + "print\"The Reactios at two Ends are:R_A\",round(R_A,2),\"KN\"\n", + "print\" :R_B\",round(R_B,2),\"KN\"\n", + "print\"Stress in Portion AC\",round(sigma1,2),\"N/mm**2\"\n", + "print\"Stress in Portion CD\",round(sigma2,2),\"N/mm**2\"\n", + "print\"Stress in Portion DB\",round(sigma3,2),\"N/mm**2\"\n", + "print\"Shortening of Portion AC\",round(dell_l_AC2,3),\"mm\"\n", + "print\"Shortening of Portion CD\",round(dell_l_CD2,3),\"mm\"\n", + "print\"Shortening of Portion DB\",round(dell_l_DB2,3),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Reactios at two Ends are:R_A 8.44 KN\n", + " :R_B 21.56 KN\n", + "Stress in Portion AC 17.19 N/mm**2\n", + "Stress in Portion CD 78.3 N/mm**2\n", + "Stress in Portion DB 43.93 N/mm**2\n", + "Shortening of Portion AC 0.024 mm\n", + "Shortening of Portion CD 0.059 mm\n", + "Shortening of Portion DB 0.082 mm\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.19,Page No.29" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "h=4 #m #height of Pillars\n", + "P=20 #KN #Load at M\n", + "\n", + "#Calculations\n", + "\n", + "#Let P_A,P_B,P_C,P_D be the forces introduced in the Pillars\n", + "#Sun of All Vertical Forces\n", + "#P_A+P_B+P_C+P_D=20 ....................(1)\n", + "\n", + "#Sum of moment about AB, we get\n", + "#P_D+P_C=12 ....................(2)\n", + "\n", + "#Sum of Moment about AD\n", + "#P_C+P_B=8 ....................(3)\n", + "\n", + "#Let dell_l_A,dell_l_B,dell_l-C,dell_l_D be the deformations of Pillars A,B,C,D respectively\n", + "#Diagonals AC and BD will remain straight Lines even after the Load is applied.\n", + "#Deflection of central Point is given by (dell_l_A+dell_l_C)*2**-1 & (dell_l_B+dell_l_D)*2**-1\n", + "\n", + "#dell_l_A+dell_l_C=dell_l_B+ell_l_D\n", + "#P_A*L*(A*E)**-1+P_C*L*(A*E)**-1=P_B*L*(A*E)**-1+P_D*L*(A*E)**-1\n", + "\n", + "#Since Pillars are identical in Length,cross-sectional area,material Property\n", + "#P_A+P_C=P_B+P_D ..............(4)\n", + "\n", + "#From Equations 1 and 4 we get\n", + "#P_B+P_D=10 ....................(5)\n", + " \n", + "#Substracting Equation 3 from Equation 2 we get\n", + "#P_D-P_B=4 ....................(6)\n", + "\n", + "#Adding Equation 5 and 6 we get\n", + "\n", + "P_D=14*2**-1\n", + "P_C=12-P_D\n", + "P_B=8-P_C\n", + "\n", + "#Now substituting values of P_B,P_C,P_D in equation1 we get\n", + "P_A=20-(P_B+P_C+P_D)\n", + "\n", + "#Result\n", + "print\"The Forces Developed in the Pillars are:P_A\",round(P_A,2),\"KN\"\n", + "print\" :P_B\",round(P_B,2),\"KN\"\n", + "print\" :P_C\",round(P_C,2),\"KN\"\n", + "print\" :P_D\",round(P_D,2),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Forces Developed in the Pillars are:P_A 5.0 KN\n", + " :P_B 3.0 KN\n", + " :P_C 5.0 KN\n", + " :P_D 7.0 KN\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.20,Page No.31" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "sigma=150 #N/mm**2 #Stress\n", + "P=40*10**3 #N #Load\n", + "\n", + "#Calculations\n", + "\n", + "#LEt P_A.P_B,P_C,P_D be the forces developed in wires A,B,C,D respectively\n", + "\n", + "#Let sum of all Vertical Forces=0\n", + "#P_A+P_B+P_C+P_D=40 ..........................(1)\n", + "\n", + "#Let x be the distance between each wires\n", + "#sum of all moments=0\n", + "#P_B*x+P_C*2*x+P_D*3*x=40*2*x\n", + "\n", + "#After further simplifying we get\n", + "#P_B+2*P_C+3*P_D=80 ..........................(2)\n", + "\n", + "#As the equations of statics ae not enough to find unknowns,Consider compatibilit Equations\n", + "\n", + "#Let dell_l be the increse in elongation of wire\n", + "\n", + "#dell_l_B=dell_l_A+dell_l\n", + "#dell_l_C=dell_l_A+2*dell_l\n", + "#dell_l_D=dell_l_A+3*dell_l\n", + "\n", + "#Let P1 be the force required for the Elongation of wires,then\n", + "#P_B=P_A+P1 ]\n", + "#P_C=P_A+2*P1 ]\n", + "#P_D=P_A+3*P1 ] ................................(3) \n", + "\n", + "#from Equation (3) and (1) we get\n", + "#2*P_A+3*P1=20 ................................(4)\n", + "\n", + "#from Equation (3) and (2) we get\n", + "#6*P_A+14*P1=80 \n", + "\n", + "#subtracting 3 times equation (4) from (3) we get\n", + "P1=20*5**-1\n", + "\n", + "#from Equation 4 we get\n", + "P_A=(80-14*P1)*6**-1\n", + "P_B=P_A+P1\n", + "P_C=P_A+2*P1\n", + "P_D=P_A+3*P1\n", + "\n", + "#Let d be the diameter required,then\n", + "d=(P_D*10**3*4*(pi*150)**-1)**0.5\n", + "\n", + "#result\n", + "print\"The Required Diameter is\",round(d,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Required Diameter is 11.65 mm\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.21,Page No.32" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=20*10**3 #N #Load\n", + "d=6 #mm #diameter of wire\n", + "E=2*10**5 #N/mm**2 \n", + "L_BO=4000 #mm #Length of BO\n", + "\n", + "#Calculations\n", + "\n", + "#Let theta be the angle between OA and OB and also between OC and OB\n", + "theta=30\n", + "\n", + "#Let P_OA,P_OB,P_OC be the Forces introduced in wires OA,OB,OC respectively\n", + "#Due to symmetry P_OA=P_OC (same angles)\n", + "\n", + "#Sum of all Vertical Forces=0\n", + "#P_OA*cos(theta)+P_OB+P_OC*cos(theta)=P\n", + "\n", + "#After further simplifyinf we get\n", + "#2*P_OA*cos(theta)+P_OB=20 ...............(1)\n", + "\n", + "#Let oo1 be the extension of BO\n", + "#oo1=L_A1o1*(cos(theta))**-1\n", + "\n", + "#From relation we get\n", + "#P_OB*L_BO=P_OA*L_AO*(cos(theta))**-1\n", + "\n", + "#But L_AO=L_BO*(cos(theta))**-1\n", + "\n", + "#After substituting value of L_AO in above equation we get\n", + "#P_OB=0.75*P_OA .......................(2)\n", + "\n", + "#substituting in Equation 1 we get\n", + "#2*P_OA*cos(theta)+0.75*P_OA=20\n", + "\n", + "P_OA=20*(2*cos(theta*pi*180**-1)+0.75)**-1\n", + "\n", + "P_OB=0.75*P_OA\n", + "\n", + "A=pi*4**-1*d**2\n", + "\n", + "#Vertical displacement of Load\n", + "dell_l_BO=P_OB*10**3*L_BO*(A*E)**-1\n", + " \n", + "#Result\n", + "print\"Forces in each wire is:P_OA\",round(P_OA,2),\"KN\"\n", + "print\" :P_OB\",round(P_OB,2),\"KN\"\n", + "print\"Vertical displacement of Loadis\",round(dell_l_BO,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Forces in each wire is:P_OA 8.06 KN\n", + " :P_OB 6.04 KN\n", + "Vertical displacement of Loadis 4.27 mm\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.22,Page No.34" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_s=L_a=L=500 #mm #Length of bar\n", + "A_a=50*20 #mm #Area of aluminium strip\n", + "A_s=50*15 #mm #Area of steel strip\n", + "P=50*10**3 #N #Load\n", + "E_a=1*10**5 #N/mm**2 #Modulus of aluminium \n", + "E_s=2*10**5 #N/mm**2 #Modulus of steel\n", + "\n", + "#Calculations\n", + "\n", + "#Let P_a and P_s br the Load shared by aluminium and steel strip\n", + "#P_a+P_s=P ..................(1)\n", + "\n", + "#For compatibility condition,dell_l_a=dell_l_s\n", + "#P_a*L_a*(A_a*E_a)**-1=P_s*L_s*(A_s*E_s)**-1 .....(2)\n", + "\n", + "#As L_a=L_s we get\n", + "#P_s=1.5*P_a .................(3)\n", + "\n", + "#From Equation 1 and 2 we get\n", + "P_a=P*2.5**-1\n", + "\n", + "#Substituting in equation 1 we get\n", + "P_s=P-P_a\n", + "\n", + "#stress in aluminium strip \n", + "sigma_a=P_a*A_a**-1\n", + "\n", + "#stress in steel strip\n", + "sigma_s=P_s*A_s**-1\n", + "\n", + "#Now from the relation we get\n", + "dell_l_a=dell_l_s=P_s*L_s*(A_s*E_s)**-1\n", + "\n", + "#result\n", + "print\"Stress in Aluminium strip is\",round(sigma_a,2),\"N/mm**2\"\n", + "print\"Stress in steel strip is\",round(sigma_s,2),\"N/mm**2\"\n", + "print\"The Extension of the bar is\",round(dell_l_s,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stress in Aluminium strip is 20.0 N/mm**2\n", + "Stress in steel strip is 40.0 N/mm**2\n", + "The Extension of the bar is 0.1 mm\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.23,Page No.35" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "D_s=20 #mm #Diameter of steel\n", + "D_Ci=20 #mm #Internal Diameter of Copper\n", + "t=5 #mm #THickness of copper bar\n", + "P=100*10**3 #N #Load\n", + "E_s=2*10**5 #N/mm**2 #modulus of elasticity of steel\n", + "E_c=1.2*10**5 #N/mm**2 #Modulus of Elasticity of Copper\n", + "\n", + "#Calculations\n", + "\n", + "A_s=pi*4**-1*D_s**2 #mm**2 #Area of steel\n", + "D_Ce=D_s+2*t #mm #External Diameterof Copper Tube\n", + "\n", + "A_c=pi*4**-1*(D_Ce**2-D_Ci**2) #mm**2 #Area of Copper\n", + "\n", + "#From static Equilibrium condition\n", + "#Let P_s and P_c be the Load shared by steel and copper in KN\n", + "#P_s+P_c=100 ....................................(1)\n", + "\n", + "#From compatibility Equation,dell_l_s=dell_l_c\n", + "#P_s*L*(A_s*E_s)**-1=P_c*L*(A_c*E_c)**-1\n", + "\n", + "#Substituting values in above Equation we get\n", + "#P_s=1.3333*P_C \n", + "\n", + "#Now Substituting value of P_s in Equation (1),we get\n", + "P_c=100*2.3333**-1 #KN\n", + "P_s=100-P_c #KN\n", + "\n", + "#Stress in steel\n", + "sigma_s=P_s*10**3*A_s**-1 #N/mm**2\n", + "\n", + "#Stress in copper\n", + "sigma_c=P_c*10**3*A_c**-1 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Stresses Developed in Two material are:sigma_s\",round(sigma_s,2),\"N/mm**2\"\n", + "print\" :sigma_c\",round(sigma_c,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stresses Developed in Two material are:sigma_s 181.89 N/mm**2\n", + " :sigma_c 109.14 N/mm**2\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.24,Page No.36" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "A_C=230*400 #mm #Area of column\n", + "D_s=12 #mm #Diameter of steel Bar\n", + "P=600*10**3 #N #Axial compression\n", + "#E_s*E_c=18.67\n", + "n=8 #number of steel Bars\n", + "\n", + "#Calculations\n", + "\n", + "A_s=pi*4**-1*D_s**2*n #Area of steel #mm**2 \n", + "A_c=A_C-A_s #mm**2 #Area of concrete\n", + "\n", + "#From static Equilibrium condition\n", + "#P_s+P_c=600 .........(1)\n", + "\n", + "#Now from compatibility Equation dell_l_s=dell_l_c we get,\n", + "#P_s*L*(A_s*E_s)**-1=P_c*L*(A_c*E_c)**-1\n", + "\n", + "#Substituting values in above Equation we get\n", + "#P_s=0.1854*P_c\n", + "\n", + "#Now Substituting value of P_s in Equation (1),we get\n", + "P_c=600*1.1854**-1\n", + "P_s=600-P_c\n", + "\n", + "#Stress in steel\n", + "sigma_s=P_s*10**3*A_s**-1 #N/mm**2\n", + "\n", + "#Stress in copper\n", + "sigma_c=P_c*10**3*A_c**-1 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Stresses Developed in Two material are:sigma_s\",round(sigma_s,2),\"N/mm**2\"\n", + "print\" :sigma_c\",round(sigma_c,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stresses Developed in Two material are:sigma_s 103.72 N/mm**2\n", + " :sigma_c 5.56 N/mm**2\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.25,Page No.36" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=200*10**3 #N #Load\n", + "A_a=1000 #mm**2 #Area of Aluminium\n", + "A_s=800 #mm**2 #Area of steel\n", + "E_a=1*10**5 #N/mm**2 #Modulus of Elasticity of Aluminium\n", + "E_s=2*10**5 #N/mm**2 #Modulus of ELasticity of steel\n", + "sigma_a1=65 #N/mm**2 #stress in aluminium\n", + "sigma_s1=150 #N/mm**2 #Stress in steel\n", + "\n", + "#Calculations\n", + "\n", + "#Let P_a and P_s be the force in aluminium and steel pillar respectively\n", + "\n", + "#Now,sum of forces in Vertical direction we get\n", + "#2*P_a+P_s=200 .........................................(1)\n", + "\n", + "#By compatibility Equation dell_l_s=dell_l_a we get\n", + "#P_s=1.28*P_a ..........................................(2)\n", + "\n", + "#Now substituting value of P_s in Equation 1 we get\n", + "P_a=200*3.28**-1 #KN\n", + "P_s=200-2*P_a #KN\n", + "\n", + "#Stress developed in aluminium\n", + "sigma_a=P_a*10**3*A_a**-1 #N/mm**2 \n", + "\n", + "#Stress developed in steel\n", + "sigma_s=P_s*10**3*A_s**-1 #N/mm**2 \n", + "\n", + "#Part-2\n", + "\n", + "#Let sigma_a1 and sigma_s1 be the stresses in Aluminium and steel due to Additional LOad\n", + "\n", + "P_a1=sigma_a1*A_a #Load carrying capacity of aluminium\n", + "P_s1=1.28*P_a1\n", + "\n", + "#Total Load carrying capacity \n", + "P1=2*P_a1+P_s1 #N \n", + "\n", + "P_s2=sigma_s1*A_s #Load carrying capacity of steel\n", + "P_a2=P_s2*1.28**-1\n", + "\n", + "#Total Load carrying capacity\n", + "P2=2*P_a2+P_s2\n", + "\n", + "#Additional Load\n", + "P3=P1-P\n", + "\n", + "#Result\n", + "print\"Stresses Developed in Each Pillar is:sigma_a\",round(sigma_a,2),\"N/mm**2\"\n", + "print\" :sigma_s\",round(sigma_s,2),\"N/mm**2\"\n", + "print\"Additional Load taken by pillars is\",round(P3,2),\"N\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "78.0487804878\n", + "Stresses Developed in Each Pillar is:sigma_a 60.98 N/mm**2\n", + " :sigma_s 97.56 N/mm**2\n", + "Additional Load taken by pillars is 13200.0 N\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.26,Page No.37" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=500 #mm #Length of assembly\n", + "D=16 #mm #Diameter of steel bolt\n", + "Di=20 #mm #internal Diameter of copper tube\n", + "Do=30 #mm #External Diameter of copper tube\n", + "E_s=2*10**5 #N/mm**2 #Modulus of Elasticity of steel\n", + "E_c=1.2*10**5 #N/mm**2 #Modulus of Elasticity of copper\n", + "p=2 #mm #Pitch of nut\n", + "\n", + "#Calculations\n", + "\n", + "#Let P_s be the Force in bolt and P_c be the FOrce in copper tube\n", + "#P_s=-P_s\n", + "\n", + "dell=1*4**-1*2 #Quarter turn of nut total movement\n", + "\n", + "#dell=dell_s+dell_c\n", + "\n", + "#Area of steel\n", + "A_s=pi*4**-1*D**2\n", + "\n", + "#Area of copper\n", + "A_c=pi*4**-1*(Do**2-Di**2)\n", + "\n", + "#dell=P*L*(A_s*E_s)**-1+P*L*(A_c*E_c)**-1\n", + "P=dell*(1*(A_s*E_s)**-1+1*(A_c*E_c)**-1)**-1*L**-1 #LOad\n", + "\n", + "P_s=P*A_s**-1\n", + "P_c=P*A_c**-1\n", + "\n", + "#result\n", + "print\"stress introduced in bolt is\",round(P_s,2),\"N/mm**2\"\n", + "print\"stress introduced in tube is\",round(P_c,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "stress introduced in bolt is 107.91 N/mm**2\n", + "stress introduced in tube is 55.25 N/mm**2\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.27,Page No.39" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "D=20 #mm #Diameter of Bolts\n", + "Di=25 #m #internal Diameter\n", + "t=10 #mm #Thickness of bolt\n", + "E_s=2*10**5 #N/mm**2 #Modulus of Elasticity\n", + "p=3 #mm #Pitch\n", + "theta=30 #degree\n", + "\n", + "#Calculations\n", + "\n", + "#Let P_s be the Force in each bolt and P_c be the FOrce in copper tube\n", + "#From Static Equilibrium condition\n", + "#P_c=2*P_s\n", + "\n", + "#As nut moves by 60 degree.If nut moves by 360 degree its Longitudinal movement is by 3 mm\n", + "dell=theta*360**-1*p\n", + "\n", + "#From Compatibility Equaton we get\n", + "#dell=dell_c+dell_s\n", + "\n", + "\n", + "A_s=pi*4**-1*" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.28,Page No.40" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=9 #m #Length of rigid bar\n", + "L_b=3000 #Length of bar\n", + "A_b=1000 #mm**2 #Area of bar\n", + "E_b=1*10**5 #N/mm**2 #Modulus of Elasticity of brasss bar\n", + "L_s=5000 #mm #Length of steel bar\n", + "A_s=445 #mm**2 #Area of steel bar\n", + "E_s=2*10**5 #N/mm**2 #Modulus of elasticity of steel bar\n", + "P=3000 #N #Load\n", + "\n", + "#Calculations\n", + "\n", + "#From static equilibrium Equation of the rod after appliying Load is\n", + "#P_b+P_s=P ......................(1)\n", + "\n", + "#P_b=1.8727*P_s ..................(2)\n", + "\n", + "#NOw substituting equation 2 in equation 1 we get\n", + "P_s=P*2.8727**-1\n", + "P_b=P-P_s\n", + "\n", + "d=P_s*L*P**-1\n", + "\n", + "#Result\n", + "print\"Distance at which Load applied even after which bar remains horizontal is\",round(d,2),\"m\" " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Distance at which Load applied even after which bar remains horizontal is 3.13 m\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.29,Page No.41" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "A_b=1000 #MM**2 #Area of brass bar\n", + "E_b=1*10**5 #N/mm**2 #Modulus of Elasticity of brass\n", + "A_s=600 #N/mm**2 #Area of steel rod\n", + "E_s=2*10**5 #N/mm**2 #Modulus of eLasticity of steel bar\n", + "P=10*10**2 #N #Load\n", + "\n", + "#Calculations\n", + "\n", + "#Let P_b be the tensile force in brass bar and P_s be the compressive force in steel bar\n", + "#Now taking moment about A we get static Equilibrium condition as\n", + "#P_b+2*P_s=27500 ......................................(1)\n", + "\n", + "#Now from deformed shape we get\n", + "#dell_s=2*dell_b\n", + "\n", + "#P_s*L_s*(A_s*E_s)**-1=P_b*L_b*(A_b*E_b)**-1\n", + "#Further simplifying we get\n", + "#P_s=1.2*P_b .........................................(2)\n", + "\n", + "#Now substituting equation 1 in equation 2 we get\n", + "P_b=27500*3.4**-1\n", + "P_s=1.2*P_b\n", + "\n", + "#Tensile stress in brass bar \n", + "sigma_b=P_b*A_b**-1\n", + "\n", + "#compressive stress in steel bar\n", + "sigma_s=P_s*A_s**-1\n", + "\n", + "#Result\n", + "print\"Compressive Stress in Bar is\",round(sigma_s,2),\"N/mm**2\"\n", + "print\"tensile Stress in Bar is\",round(sigma_b,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Compressive Stress in Bar is 16.18 N/mm**2\n", + "tensile Stress in Bar is 8.09 N/mm**2\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.30,Page No.44" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=12.6 #m #Length of rail\n", + "t1=24 #Degree celsius\n", + "t2=44 #degree celsius\n", + "alpha=12*10**-6 #Per degree celsius\n", + "E=2*10**5 #N/mm**2 #Modulus of ELasticity\n", + "gamma=2 #mm #Gap provided for Expansion\n", + "sigma=20 #N/mm**2 #Stress\n", + "\n", + "#Calculations\n", + "\n", + "t=t2-t1 #Temperature Difference\n", + "\n", + "#Free Expansion of the rails\n", + "dell=alpha*t*L*1000 #mm \n", + "\n", + "#When no expansion joint is provided then\n", + "p=dell*E*(L*10**3)**-1\n", + "\n", + "#When a gap of 2 mm is provided,then free expansion prevented is\n", + "dell_1=dell-gamma\n", + "p2=dell_1*E*(L*10**3)**-1\n", + "\n", + "#When stress is developed,then gap left is\n", + "gamma2=-(sigma*L*10**3*E**-1-dell)\n", + "\n", + "#Result\n", + "print\"The minimum gap between the two rails is\",round(dell,2),\"mm\"\n", + "print\"Thermal Developed in the rials if:No expansionn joint is provided:p\",round(p,2),\"N/mm**2\"\n", + "print\" :If a gap of is provided then :p2\",round(p2,2),\"N/mm**2\"\n", + "print\"When stress is developed gap left between the rails is\",round(gamma2,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The minimum gap between the two rails is 3.02 mm\n", + "Thermal Developed in the rials if:No expansionn joint is provided:p 48.0 N/mm**2\n", + " :If a gap of is provided then :p2 16.25 N/mm**2\n", + "When stress is developed gap left between the rails is 1.76 mm\n" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.31,Page No.45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "t=20 #degree celsius\n", + "E_a=70*10**9 #N/mm**2 #Modulus of Elasticicty of aluminium\n", + "alpha_a=11*10**-6 #per degree celsius #Temperature coeff of aluminium\n", + "alpha_s=12*10**-6 #Per degree celsius #Temperature coeff of steel\n", + "L_a=1000 #mm #Length of aluminium \n", + "L_s=3000 #mm #Length of steel\n", + "E_a=7*10**4 #N/mm**2 #Modulus of Elasticity of aluminium\n", + "E_s=2*10**5 #N/mm*2 #Modulus of Elasticity of steel\n", + "A_a=600 #mm**2 #Area of aluminium\n", + "A_s=300 #mm**2 #Area of steel\n", + "\n", + "#Calculations\n", + "\n", + "#Free Expansion \n", + "dell=alpha_a*t*L_a+alpha_s*t*L_s\n", + "\n", + "#support Reaction\n", + "P=dell*(L_a*(A_a*E_a)**-1+L_s*(A_s*E_s)**-1)**-1\n", + "\n", + "#Result\n", + "print\"Reaction at support is\",round(P,2),\"N\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Reaction at support is 12735.48 N\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.33,Page No.48" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "D=25 #mm #Diameter of Brass\n", + "De=50 #mm #External Diameter of steel tube\n", + "Di=25 #mm #Internal Diameter of steel tube\n", + "L=1.5 #m #Length of both bars\n", + "t1=30 #degree celsius #Initial Temperature\n", + "t2=100 #degree celsius #final Temperature\n", + "E_s=2*10**5 #N/mm**2 #Modulus of ELasticity of steel bar\n", + "E_b=1*10**5 #N/mm**2 #Modulus of Elasticity of brass bar\n", + "alpha_s=11.6*10**-6 #Temperature Coeff of steel\n", + "alpha_b=18.7*10**-6 #Temperature coeff of brass bar\n", + "d=20 #mm #diameter of pins\n", + "\n", + "#Calculations\n", + "\n", + "t=t2-t1 #Temperature Difference\n", + "A_s=pi*4**-1*(De**2-Di**2) #mm**2 #Area of steel\n", + "A_b=pi*4**-1*D**2 #mm**2 #Area of brass\n", + "\n", + "#Let P_b be the tensile force in brass bar and P_s be the compressive force in steel bar\n", + "#But from Equilibrium of Forces \n", + "#P_b=P_s=P\n", + "\n", + "#Let dell=dell_s+dell_b\n", + "dell=(alpha_b-alpha_s)*t*L*1000\n", + "\n", + "P=dell*(1*(A_s*E_s)**-1+1*(A_b*E_b)**-1)**-1*(L*1000)**-1\n", + "P_b=P_s=P\n", + "\n", + "#Stress in steel\n", + "sigma_s=P_s*A_s**-1\n", + "\n", + "#Stress in Brass\n", + "sigma_b=P_b*A_b**-1\n", + "\n", + "#Area of Pins\n", + "A_p=pi*4**-1*d**2\n", + "\n", + "#Since,the force is resisted by two cross section of pins\n", + "tou=P*(2*A_p)**-1\n", + "\n", + "#Result\n", + "print\"Stress in steel bar is\",round(sigma_s,2),\"N/mm**2\"\n", + "print\"Stress in Brass bar is\",round(sigma_b,2),\"N/mm**2\"\n", + "print\"Shear Stresss induced in pins is\",round(tou,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stress in steel bar is 14.2 N/mm**2\n", + "Stress in Brass bar is 42.6 N/mm**2\n", + "Shear Stresss induced in pins is 33.28 N/mm**2\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.34,Page No.49" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "b_s=60 #mm #width of steel Bar\n", + "t_s=10 #mm #thickness of steel Bar\n", + "b_c=40 #mm #width of copper bar\n", + "t_c=5 #mm #thickness of copper bar\n", + "E_s=2*10**5 #N/mm**2 #Modulus of Elasticity of steel bar\n", + "E_c=1*10**5 #N/mm**2 #Modulus of Elasticity of copper bar\n", + "alpha_s=12*10**-6 #Per degree celsius #Temperature coeff of steel bar\n", + "alpha_c=17*10**-6 #Per degree celsius #Temperature coeff of copper bar\n", + "L_s=L_c=L=1000 #mm #Length of bar\n", + "t=80 #degree celsius\n", + "\n", + "#Calculations\n", + "\n", + "A_s=b_s*t_s #Area of steel bar\n", + "A_c=b_c*t_c #Area of copper bar\n", + "\n", + "#Let P_s be the tensile force in steel bar and P_c be the compressive force in copper bar\n", + "#The equilibrium of forces gives \n", + "#P_s=2*P_c\n", + "\n", + "#Let dell=dell_s+dell_b\n", + "dell=(alpha_c-alpha_s)*t\n", + "\n", + "P_c=dell*(2*(A_s*E_s)**-1+1*(A_c*E_c)**-1)**-1\n", + "P_s=2*P_c\n", + "\n", + "#Stress in copper \n", + "sigma_c=P_c*A_c**-1\n", + "\n", + "#Stress in steel\n", + "sigma_s=P_s*A_s**-1\n", + "\n", + "#Change in Length of bar\n", + "dell_2=alpha_s*t*L+P_s*L_s*(A_s*E_s)**-1\n", + "\n", + "#result\n", + "print\"Stress in copper is\",round(sigma_c,2),\"N/mm**2\"\n", + "print\"Stress in steel is\",round(sigma_s,2),\"N/mm**2\"\n", + "print\"the change in Length is\",round(dell_2,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stress in copper is 30.0 N/mm**2\n", + "Stress in steel is 20.0 N/mm**2\n", + "the change in Length is 1.06 mm\n" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.35,Page No.50" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=2*10**5 #N #Weight\n", + "L=1 #m #Length of each rod\n", + "A_c=A_s=A=500 #mm**2 #Area of each rod\n", + "t=40 #degree celsius #temperature\n", + "E_s=2*10**5 #N/mm**2 #Modulus of Elasticity of steel rod\n", + "E_c=1*10**5 #N/mm**2 #modulus of Elastictiy of copper rod\n", + "alpha_s=1.2*10**-5 #Per degree Celsius #temp coeff of steel rod\n", + "alpha_c=1.8*10**-5 #Per degree Celsius #Temp coeff of copper rod\n", + "\n", + "#Calculations\n", + "\n", + "#Let P_s be the force in each one of the copper rods and P_s be the force in steel rod\n", + "#2*P_c+P_s=P .....................(1)\n", + "\n", + "#Extension of copper bar=Extension of steel bar\n", + "#P_s*L*(A_s*E_s)**-1=P_c*L*(A_c*E_c)**-1\n", + "#after simplifying above equation we get\n", + "#P_s=2*P_c ........................(2)\n", + "\n", + "#Now substituting value of P_s in Equation 1 we get\n", + "P_c=P*4**-1\n", + "P_s=2*P_c\n", + "\n", + "#Now EXtension due to copper Load\n", + "dell_1=P_c*L*1000*(A_c*E_c)**-1\n", + "\n", + "#Part-2\n", + "\n", + "#Due to rise of temperature of40 degree celsius\n", + "\n", + "#As bars are rigidly joined,let P_c1 be the compressive forccesdeveloped in copper bar and P_s1 be the tensile force in steel causing changes\n", + "#P_s1=2*P_c1\n", + "\n", + "#dell_s+dell_c=(alpha_c-alpha_s)*t*L .......................................(3)\n", + "#P_s1*L*(A_s*E_s)**-1+P_c1*L*(A_c*E_c)**-1=(alpha_c-alpha_s)*t*L ................(4)\n", + "#After substituting values in above equation and further simplifying we get,\n", + "P_c1=(alpha_c-alpha_s)*t*L*(2*(A_s*E_s)**-1+1*(A_c*E_c)**-1)**-1 #.................(5)\n", + "P_s1=2*P_c1\n", + "\n", + "#Extension of bar due to temperature rise\n", + "dell_2=alpha_s*t*L+P_s1*L*(A_s*E_s)**-1\n", + "\n", + "#Amount by which bar will descend\n", + "dell_3=dell_1+dell_2\n", + "\n", + "#Load carried by steel bar\n", + "P_S=P_s+P_s1\n", + "\n", + "#Load carried by copper bar\n", + "P_C=P_c-P_c1\n", + "\n", + "#Part-3\n", + "\n", + "#Let P_c1_1=P_c #For convenience\n", + "#Rise in temperature if Load is to be carried out by steel rod alone\n", + "P_c1_1=P_c\n", + "\n", + "#From equation 5 \n", + "t=P_c1_1*(2*(A_s*E_s)**-1+1*(A_c*E_c)**-1)*(alpha_c-alpha_s)**-1\n", + "\n", + "#result\n", + "print\"Extension Due top copper Load\",round(dell_1,2),\"mm\"\n", + "print\"Load carried by each rod:P_s\",round(P_s,2),\"N\"\n", + "print\" :P_c\",round(P_c,2),\"N\"\n", + "print\"Rise in Temperature of steel rod should be\",round(t,2),\"degree Celsius\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Extension Due top copper Load 1.0 mm\n", + "Load carried by each rod:P_s 100000.0 N\n", + " :P_c 50000.0 N\n", + "Rise in Temperature of steel rod should be 333.33 degree Celsius\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.36,Page No.53" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "t=40 #degree celsius #temperature\n", + "A_s=400 #mm**2 #Area of steel bar\n", + "A_c=600 #mm**2 #Area of copper bar\n", + "E_s=2*10**5 #N/mm**2 #Modulus of Elasticity of steel bar\n", + "E_c=1*10**5 #N/mm**2 #Modulus of Elasticity of copper bar\n", + "alpha_s=12*10**-6 #degree celsius #Temperature coeff of steel bar\n", + "alpha_c=18*10**-6 #degree celsius #Temperature coeff of copper bar\n", + "L_c=800 #mm #Length of copper bar\n", + "L_s=600 #mm #Length of steel bar\n", + "\n", + "#Calculations\n", + "\n", + "#Let P_s be the tensile force in steel bar and P_c be the compressive force in copper bar\n", + "#Static Equilibrium obtained by taking moment about A\n", + "#P_c=2*P_s\n", + "\n", + "#From property of similar triangles we get\n", + "#(alpha_c*Lc-dell_c)*1**-1=(alpha_s*L_s-dell_s)*2**-1\n", + "#After substituting values in above equations and further simplifying we get\n", + "P_s=(2*alpha_c*L_c-alpha_s*L_s)*t*(L_s*(A_s*E_s)**-1+4*L_c*(A_c*E_c)**-1)**-1\n", + "P_c=2*P_s\n", + "\n", + "#Stress in steel rod\n", + "sigma_s=P_s*A_s**-1 #N/mm**2 \n", + "\n", + "#Stress in copper rod\n", + "sigma_c=P_c*A_c**-1 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Stress in steel rod is\",round(sigma_s,2),\"N/mm**2\"\n", + "print\"STress in copper rod is\",round(sigma_c,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stress in steel rod is 35.51 N/mm**2\n", + "STress in copper rod is 47.34 N/mm**2\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.37,Page No.61" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=20 #mm #Diameter of bar\n", + "P=37.7*10**3 #N #Load\n", + "L=200 #mm #Guage Length \n", + "dell=0.12 #mm #Extension\n", + "dell_d=0.0036 #mm #contraction in diameter\n", + "\n", + "#Calculations\n", + "\n", + "#Area of bar\n", + "A=pi*4**-1*d**2\n", + "\n", + "#Let s and dell_s be the Linear strain and Lateral strain\n", + "s=dell*L**-1\n", + "dell_s=dell_d*d**-1\n", + "mu=dell_s*s**-1 #Poissoin's ratio \n", + "\n", + "#dell=P*L*(A*E)**-1\n", + "E=P*L*(dell*A)**-1 #N/mm**2 #Modulus of Elasticity of bar\n", + "\n", + "#Modulus of Rigidity\n", + "G=E*(2*(1+mu))**-1 #N/mm**2\n", + "\n", + "#Bulk Modulus \n", + "K=E*(3*(1-2*mu))**-1 #N/mm**2\n", + "\n", + "#result\n", + "print\"Poisson's ratio is\",round(mu,2)\n", + "print\"The Elastic constant are:E\",round(E,2)\n", + "print\" :G\",round(G,2)\n", + "print\" :K\",round(K,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Poisson's ratio is 0.3\n", + "The Elastic constant are:E 200004.71\n", + " :G 76924.89\n", + " :K 166670.59\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.38,Page No.62" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=100 #mm #Diameter of circular rod\n", + "P=1*10**6 #N #Tensile Force\n", + "mu=0.3 #Poisson's ratio\n", + "E=2*10**5 #N/mm**2 #Young's Modulus \n", + "L=500 #mm #Length of rod\n", + "\n", + "#Calculations\n", + "\n", + "#Modulus of Rigidity\n", + "G=E*(2*(1+mu))**-1 #N/mm**2\n", + "\n", + "#Bulk Modulus \n", + "K=E*(3*(1-2*mu))**-1 #N/mm**2\n", + "\n", + "A=pi*4**-1*d**2 #mm**2 #Area of Circular rod\n", + "#Let sigma be the Longitudinal stress\n", + "sigma=P*A**-1 #N/mm**2 \n", + "\n", + "s=sigma*E**-1 #Linear strain\n", + "e_x=s\n", + "\n", + "#Volumetric strain\n", + "e_v=e_x*(1-2*mu)\n", + "\n", + "v=pi*4**-1*d**2*L\n", + "#Change in VOlume\n", + "dell_v=e_v*v\n", + "\n", + "#Result\n", + "print\"Bulk Modulus is\",round(E,2),\"N/mm**2\"\n", + "print\"Modulus of Rigidity is\",round(G,2),\"N/mm**2\"\n", + "print\"The change in Volume is\",round(dell_v,2),\"mm**3\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Bulk Modulus is 200000.0 N/mm**2\n", + "Modulus of Rigidity is 76923.08 N/mm**2\n", + "The change in Volume is 1000.0 mm**3\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.39,Page No.62" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=500 #mm #Length of rectangular cross section bar\n", + "A=20*40 #mm**2 #Area of rectangular cross section bar\n", + "P1=4*10**4 #N #Tensile Force on 20mm*40mm Faces\n", + "P2=2*10**5 #N #compressive force on 20mm*500mm Faces\n", + "P3=3*10**5 #N #Tensile Force on 40mm*500mm Faces\n", + "E=2*10**5 #N/mm**2 #young's Modulus \n", + "mu=0.3 #Poisson's Ratio\n", + "\n", + "#Calculations\n", + "\n", + "#Let P_x,P_y,P_z be the forces n x,y,z directions\n", + "\n", + "P_x=P1*A**-1\n", + "P_y=P2*A**-1\n", + "P_z=P3*A**-1\n", + "\n", + "#Let e_x,e_y,e_z be the strains in x,y,z directions\n", + "e_x=1*E**-1*(50+mu*20-15*mu)\n", + "e_y=1*E**-1*(-mu*50-20-mu*15)\n", + "e_z=1*E**-1*(-mu*50+mu*20+15)\n", + "\n", + "#Volumetric strain\n", + "e_v=e_x+e_y+e_z\n", + "\n", + "#Volume\n", + "V=20*40*500 #mm**3\n", + "#Change in Volume \n", + "dell_v=e_v*V #mm**3\n", + "\n", + "#Result\n", + "print\"The change in Volume is\",round(dell_v,2),\"mm**3\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The change in Volume is 36.0 mm**3\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.41,Page No.65" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "E=2.1*10**5 #N/mm**2 #Young's Modulus \n", + "G=0.78*10**5 #N/mm**2 #Modulus of Rigidity\n", + "\n", + "#Calculations\n", + "\n", + "#Now using the relation\n", + "#E=2*G*(1+mu)\n", + "mu=E*(2*G)**-1-1 #Poisson's ratio\n", + "\n", + "#Bulk Modulus \n", + "K=E*(3*(1-2*mu))**-1 #N/mm**2\n", + "\n", + "\n", + "#Result\n", + "print\"The Poisson's Ratio is\",round(mu,2)\n", + "print\"The modulus of Rigidity\",round(K,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Poisson's Ratio is 0.35\n", + "The modulus of Rigidity 227500.0 N/mm**2\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.42,Page No.65" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "G=0.4*10**5 #N/mm**2 #Modulus of rigidity\n", + "K=0.75*10**5 #N/mm**2 #Bulk Modulus \n", + "\n", + "#Calculations\n", + "\n", + "#Young's Modulus\n", + "E=9*G*K*(3*K+G)**-1\n", + "\n", + "#Now from the relation\n", + "#E=2*G(1+2*mu)\n", + "mu=E*(2*G)**-1-1 #POissoin's ratio \n", + "\n", + "#result\n", + "print\"Young's modulus is\",round(E,2),\"N/mm**2\"\n", + "print\"Poissoin's ratio is\",round(mu,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Young's modulus is 101886.79 N/mm**2\n", + "Poissoin's ratio is 0.27\n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.43,Page No.65" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "b=60 #mm #width of bar\n", + "d=30 #mm #depth of bar\n", + "L=200 #mm #Length of bar\n", + "A=30*60 #mm**2 #Area of bar\n", + "A2=30*200 #mm**2 #Area of bar along which expansion is restrained\n", + "P=180*10**3 #N #Compressive force\n", + "E=2*10**5 #N/mm**2 #Young's Modulus\n", + "mu=0.3 #Poissoin's ratio\n", + "\n", + "#Calculations\n", + "\n", + "#The bar is restrained from expanding in Y direction\n", + "P_z=0\n", + "P_x=P*A**-1 #stress developed in x direction\n", + "\n", + "#Now taking compressive strain as positive\n", + "#e_x=P_x*E**-1-mu*P_y*E**-1 .......................(1)\n", + "#e_y=-mu*P_x*E**-1+P_y*E**-1 ....................(2)\n", + "#e_z=-mu*P_x*E**-1-mu*P_y*E**-1 ......................(3)\n", + "\n", + "#Part-1\n", + "#When it is fully restrained\n", + "e_y=0\n", + "P_y=30 #N/mm**2 \n", + "e_x=P_x*E**-1-mu*P_y*E**-1\n", + "e_z=-mu*P_x*E**-1-mu*P_y*E**-1\n", + "\n", + "#Change in Length \n", + "dell_l=e_x*L #mm\n", + "\n", + "#Change in width\n", + "dell_b=b*e_y\n", + "\n", + "#change in Depth\n", + "dell_d=d*e_z\n", + "\n", + "#Volume of bar\n", + "V=b*d*L #mm**3\n", + "#Change in Volume\n", + "e_v=(e_x+e_y+e_z)*V #mm**3\n", + "\n", + "#Part-2\n", + "#When 50% is restrained\n", + "\n", + "#Free strain in Y direction\n", + "e_y1=mu*P_x*E**-1\n", + "\n", + "#As 50% is restrained,so\n", + "e_y2=-50*100**-1*e_y1\n", + "\n", + "#But form Equation 2 we have e_y=-mu*P_x*E**-1+P_y*E**-1 \n", + "#After substituting values in above equation and furthe simplifying we get\n", + "P_y=e_y2*E+d\n", + "\n", + "e_x2=P_x*E**-1-mu*P_y*E**-1 \n", + "e_z2=-mu*P_x*E**-1-mu*P_y*E**-1\n", + "\n", + "#Change in Length \n", + "dell_l2=e_x2*L #mm\n", + "\n", + "#Change in width\n", + "dell_b2=b*e_y2\n", + "\n", + "#change in Depth\n", + "dell_d2=d*e_z2\n", + "\n", + "#Change in Volume\n", + "e_v2=(e_x2+e_y2+e_z2)*V #mm**3\n", + "\n", + "#REsult\n", + "print\"Change in Dimension of bar is:dell_l\",round(dell_l,2),\"mm\"\n", + "print\" :dell_b\",round(dell_b,4),\"mm\"\n", + "print\" :dell_d\",round(dell_d,2),\"mm\"\n", + "print\"Change in Volume is\",round(e_v,2),\"mm**3\"\n", + "print\"Changes in material when only 50% of expansion can be reatrained:dell_l2\",round(dell_l2,2),\"mm\"\n", + "print\" :dell_b2\",round(dell_b2,4),\"mm\"\n", + "print\" :dell_d2\",round(dell_d2,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Change in Dimension of bar is:dell_l 0.09 mm\n", + " :dell_b 0.0 mm\n", + " :dell_d -0.01 mm\n", + "Change in Volume is 93.6 mm**3\n", + "Changes in material when only 50% of expansion can be reatrained:dell_l2 0.1 mm\n", + " :dell_b2 -0.0045 mm\n", + " :dell_d2 -0.01 mm\n" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.44,Page No.72" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=10*10**3 #N #Load\n", + "E=2*10**5 #N/mm**2 #Young's Modulus\n", + "d2=12 #mm #Diameter of bar1\n", + "d1=16 #mm #diameter of bar2\n", + "L1=200 #mm #Length of bar1\n", + "L2=500 #mm #Length of bar2\n", + "\n", + "#Calculations\n", + "\n", + "#Let A1 and A2 be the cross Area of Bar1 & bar2 respectively\n", + "A1=pi*4**-1*d1**2 #mm**2\n", + "A2=pi*4**-1*d2**2 #mm**2\n", + "\n", + "#Let p1 and p2 be the stress in Bar1 nad bar2 respectively\n", + "p1=P*A1**-1 #N/mm**2\n", + "p2=P*A2**-1 #N/mm**2\n", + "\n", + "#Let V1 nad V2 be the Volume of of Bar1 and Bar2\n", + "V1=A1*(L1+L1)\n", + "V2=A2*L2\n", + "\n", + "#Let E be the strain Energy stored in the bar\n", + "E=p1**2*(2*E)**-1*V1+p2**2*V2*(2*E)**-1\n", + "\n", + "#result\n", + "print\"The Strain Energy stored in Bar is\",round(E,2),\"N-mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Strain Energy stored in Bar is 1602.6 N-mm\n" + ] + } + ], + "prompt_number": 74 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.45,Page No.73" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Bar-A\n", + "d1=30 #mm #Diameter of bar1\n", + "L=600 #mm #length of bar1\n", + "\n", + "#Bar-B\n", + "d2=30 #mm #Diameter of bar2\n", + "d3=20 #mm #Diameter of bar2\n", + "L2=600 #mm #length of bar2\n", + "\n", + "#Calculations\n", + "\n", + "#Area of bar-A\n", + "A1=pi*4**-1*d1**2\n", + "\n", + "#Area of bar-B\n", + "A2=pi*4**-1*d2**2\n", + "A3=pi*4**-1*d3**2\n", + "\n", + "#let SE be the Strain Energy\n", + "#Strain Energy stored in Bar-A\n", + "#SE=p**2*(2*E)**-1*V\n", + "#After substituting values and simolifying further we get\n", + "#SE=P**2*E**-1*0.4244\n", + "\n", + "#Strain Energy stored in Bar-B\n", + "#SE2=p1**2*V1*(2*E)**-1+p2**2*V2*(2*E)**-1\n", + "#After substituting values and simolifying further we get\n", + "#SE2=0.6897*P**2*E**-1\n", + "\n", + "#Let X be the ratio of SE in Bar-B and SE in Bar-A\n", + "X=0.6897*0.4244**-1\n", + "\n", + "#Part-2\n", + "\n", + "#When Max stress is produced is same:Let p be the max stress produced\n", + "\n", + "#Stress in bar A is p throughout \n", + "#In bar B:stress in 20mm dia.portion=p2=p\n", + "\n", + "#Stress in 30 mm dia.portion\n", + "#p1=P*A2*A3**-1\n", + "#After substituting values and simolifying further we get\n", + "#p1=4*9**-1*p\n", + "\n", + "#Strain Energy in bar A\n", + "#SE_1=p**2*(2*E)**-1*A1*L1\n", + "#After substituting values and simolifying further we get\n", + "#SE_1=67500*p**2*pi*E**-1\n", + "\n", + "#Strain Energy in bar B\n", + "#SE_2=p1**2*V1*(2*E)**-1+p2**2*V2*(2*E)**-1\n", + "#After substituting values and simolifying further we get\n", + "#SE_2=21666.67*pi*p**2*E**-1\n", + "\n", + "#Let Y be the Ratio of SE in bar B and SE in bar A\n", + "Y=21666.67*67500**-1\n", + "\n", + "#result\n", + "print\"Gradually applied Load is\",round(X,2)\n", + "print\"Gradually applied Load is\",round(Y,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Gradually applied Load is 1.63\n", + "Gradually applied Load is 0.32\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.46,Page No.74" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables \n", + "\n", + "W=100 #N #Load\n", + "E=2*10**5 #N/mm**2 #Young's Modulus \n", + "h=60 #mm #Height through Load falls down\n", + "L=400 #mm #Length of collar\n", + "d=30 #mm #diameter of bar\n", + "\n", + "#Calculations\n", + "\n", + "A=pi*4**-1*d**2 #mm**2 #Area of bar\n", + "\n", + "#Instantaneous stress produced is\n", + "p=W*A**-1*(1+(1+(2*A*E*h*(W*L)**-1))**0.5)\n", + "\n", + "#Now the EXtension of the bar is neglected in calculating work doneby the Load,then\n", + "P=(2*E*h*W*(A*L)**-1)**0.5\n", + "\n", + "#Let percentage error be denoted by E1\n", + "#Percentage error in approximating is\n", + "E1=(p-P)*p**-1*100\n", + "\n", + "#Instantaneous Extension produced is\n", + "dell_l=round(P,3)*E**-1*L\n", + "\n", + "#Result\n", + "print\"The Instantaneous stress is\",round(p,2),\"N/mm\"\n", + "print\"Percentage Error is\",round(E1,2)\n", + "print\"The Instantaneous extension is\",round(dell_l,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Instantaneous stress is 92.27 N/mm\n", + "Percentage Error is 0.15\n", + "The Instantaneous extension is 0.18 mm\n" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.47,Page No.75" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=20 #mm #Diameter of steel bar\n", + "L=1000 #mm #Length of bar\n", + "E=2*10**5 #N/mm**2 #Young's Modulus \n", + "p=300 #N/mm**2 #max Permissible stress\n", + "h=50 #mm #Height through which weight will fall\n", + "w=600 #N #Load\n", + "\n", + "#Calculations\n", + "\n", + "#ARea of steel bar\n", + "A=pi*4**-1*d**2\n", + "\n", + "#Instantaneous extension is\n", + "dell_l=p*L*E**-1 #mm \n", + "\n", + "#Work done by Load \n", + "#W=W1*(h+dell_l)\n", + "\n", + "#Volume of bar\n", + "V=round(A,2)*L\n", + "#Let E1 be the strain Energy\n", + "E1=p**2*(2*E)**-1*V\n", + "\n", + "#Answer in Book for Strain Energy is Incorrect \n", + "\n", + "#Now Equating Workdone by Load to strain Energy \n", + "W1=E1*51.5**-1\n", + "\n", + "#Now when w=600 N\n", + "#Let W2 be the Work done by the Load\n", + "#W2=w(h2*dell_l)\n", + "\n", + "h=E1*w**-1-dell_l\n", + "\n", + "#Result\n", + "print\"The Max Lodad which can Fall from a height of 50 mm on the collar is\",round(W1,2),\"N\"\n", + "print\"the Max Height from which a 600 N Load can fall on the collar is\",round(h,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Max Lodad which can Fall from a height of 50 mm on the collar is 1372.54 N\n", + "the Max Height from which a 600 N Load can fall on the collar is 116.31 mm\n" + ] + } + ], + "prompt_number": 40 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.48,Page No.76" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "D_s=30 #mm #Diameter of steel rod\n", + "d=30 #mm #Internal Diameter of copper tube\n", + "D=40#mm #External Diameter of copper tube\n", + "E_s=2*10**5 #N/mm**2 #Young's Modulus of Steel rod\n", + "E_c=1*10**5#N/mm**2 #Young's Modulus of copper tube\n", + "P=100 #N #Load\n", + "h=40 #mm #height from which Load falls\n", + "L=800 #mm #Length \n", + "\n", + "#Calculations\n", + "\n", + "#Area of steel rod\n", + "A_s=pi*4**-1*D_s**2\n", + "\n", + "#Area of copper tube\n", + "A_c=pi*4**-1*(D**2-d**2)\n", + "\n", + "#But Dell_s=dell_c=dell\n", + "#p_s*E_s**-1*L=p_c*L*E_c\n", + "#After simplifying furthe we get\n", + "#p_s=2*p_c\n", + "\n", + "#Now Equating internal Energy to Workdone we get\n", + "p_c=(2*P*h*L**-1*(4*A_s*E_s**-1+A_c*E_c**-1))**0.5\n", + "p_s=2*p_c\n", + "\n", + "#Result\n", + "print A_s\n", + "print\"STress produced in steel is\",round(p_s,2),\"N/mm**2\"\n", + "print\"STress produced in copper is\",round(p_c,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "706.858347058\n", + "STress produced in steel is 0.89 N/mm**2\n", + "STress produced in copper is 0.44 N/mm**2\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.2.49,Page No.77" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "dell=0.25 #mm #Instantaneous Extension\n", + "\n", + "#Bar-A\n", + "b1=25 #mm #width of bar\n", + "D1=500 #mm #Depth of bar\n", + "\n", + "#Bar-B\n", + "b2_1=25 #mm #width of upper bar\n", + "b2_2=15 #mm #Width of Lower Bar\n", + "L2=200 #mm #Length of upper bar\n", + "L1=300 #mm #Length of Lower bar\n", + "\n", + "E=2*10**5 #N/mm**2 #Young's Modulus of bar\n", + "\n", + "#Calculations\n", + "\n", + "#Strain\n", + "e=dell*D1**-1 \n", + "\n", + "#Load\n", + "p=e*E\n", + "\n", + "#Area of bar-A\n", + "A=pi*4**-1*25**2\n", + "\n", + "#Volume of bar-A\n", + "V=A*D1\n", + "\n", + "#Let E1 be the Energy of Blow\n", + "#Energy of Blow\n", + "E1=p**2*(E)**-1*V\n", + "\n", + "#Let p2 be the Max stress in bar B When this blow is applied.\n", + "#the max stress occurs in the 15mm dia. portion,Hence, the stress in 25 mm dia.portion is\n", + "#p2*pi*4**-1*b2_2**2*(pi*4**-1*b2_2**2=0.36*p\n", + "\n", + "#Strain Energy of bar B\n", + "#E2=p**2*(2*E)**-1*v1+1*(2*E)**-1*(0.36*p2)**2*v2\n", + "#After substituting values and Further substituting values we get\n", + "#E2=0.1643445*p2**2\n", + "\n", + "#Equating it to Energy of applied blow,we get\n", + "p2=(12271.846*0.1643445**-1)**0.5\n", + "\n", + "#Stress in top portion\n", + "sigma=0.36*p2\n", + "\n", + "#Extension in Bar-1\n", + "dell_1=p2*E**-1*L1\n", + "\n", + "#Extension in Bar-2\n", + "dell_2=0.36*p2*E**-1*L2\n", + "\n", + "#Extension of bar\n", + "dell_3=dell_1+dell_2\n", + "\n", + "#Result\n", + "print\"Instantaneous Max stress is\",round(sigma,2),\"N/mm**2\"\n", + "print\"extension in Bar is\",round(dell_3,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Instantaneous Max stress is 98.37 N/mm**2\n", + "extension in Bar is 0.51 mm\n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_1.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_1.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_5.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_5.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_6.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_6.ipynb new file mode 100644 index 00000000..f136c4ad --- /dev/null +++ b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.3_6.ipynb @@ -0,0 +1,1588 @@ +{ + "metadata": { + "name": "chapter no.3.ipynb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 3:Shear Force And Bending Moment Diagrams in Statically Determinate Beams" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.1,Page No.100" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_AC=L_CD=1 #m #Length of AC & CD\n", + "L_DB=1.5 #m #Lengh of DB\n", + "L=3.5 #m #Length of Beam\n", + "F_B=10 #KN #Force at pt B\n", + "F_C=F_D=20 #KN #Force at pt C & D\n", + "\n", + "#Calculations\n", + "\n", + "R_A=F_C+F_D+F_B #KN #Force at support A \n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F At pt B\n", + "V_B1=0 #KN \n", + "V_B2=F_B #KN\n", + "\n", + "#S.F At pt D\n", + "V_D1=V_B2 #KN\n", + "V_D2=V_D1+F_D #KN\n", + "\n", + "#S.F At pt C \n", + "V_C1=V_D2 #KN\n", + "V_C2=V_D2+F_C #KN\n", + "\n", + "#S.F At Pt A\n", + "V_A1=V_C2 #KN\n", + "V_A2=V_C2-R_A #KN\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M At Pt B\n", + "M_B=0 #KN.m\n", + "\n", + "#B.M AT Pt D\n", + "M_D=F_B*L_DB #KN.m\n", + "\n", + "#B.M At pt C\n", + "M_C=F_B*(L_DB+L_CD)+F_D*L_CD #KN.m\n", + "\n", + "#B.M At pt A\n", + "M_A=F_B*L+F_D*(L_CD+L_AC)+F_C*L_AC\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_DB,L_DB,L_CD+L_DB,L_CD+L_DB,L_CD+L_DB+L_AC,L_CD+L_DB+L_AC]\n", + "Y1=[V_B1,V_B2,V_D1,V_D2,V_C1,V_C2,V_A1,V_A2]\n", + "Z1=[0,0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "Y2=[M_B,M_D,M_C,M_A]\n", + "X2=[0,L_DB,L_DB+L_CD,L_AC+L_CD+L_DB]\n", + "Z2=[0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Length in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.2,Page No.101" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "w1=10 #KN/m #u.d.L\n", + "F_D=20 #KN #Force at pt D\n", + "F_C=30 #KN #Force at pt C\n", + "L_DB=4 #m #Length of DB\n", + "L_CD=L_AC=2 #m #Length of AC & CD\n", + "L=8 #m #Length of Beam\n", + "\n", + "#Calculations\n", + "\n", + "#Let R_A And R_B be the Reactions at pt A and B \n", + "#R_A+R_B=90 \n", + "#Now Taking moment at A,M_A we get\n", + "R_A=(w1*L_DB*(L_DB*2**-1)+F_D*L_DB+F_C*(L_CD+L_DB))*L**-1\n", + "R_B=90-R_A\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F At Pt B\n", + "V_B1=0 #KN\n", + "V_B2=R_B #KN\n", + "\n", + "#S.F At pt D\n", + "V_D1=R_B-w1*L_DB #KN\n", + "V_D2=V_D1-F_D #KN\n", + "\n", + "#S.F at Pt C\n", + "V_C1=V_D2 #KN\n", + "V_C2=V_C1-F_C \n", + "\n", + "#S.F at PT A\n", + "V_A1=V_C2 #KN\n", + "V_A2=V_C2+R_A #KN\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M At Pt B\n", + "M_B=0 #KN.m\n", + "\n", + "#B.M At Pt D\n", + "M_D=-R_B*L_DB+w1*L_DB*L_DB*2**-1 #KN.m\n", + "\n", + "#B.M At PT C\n", + "M_C=-R_B*(L_DB+L_CD)+w1*L_DB*(L_DB*2**-1+L_CD)+F_D*L_CD #KN.m\n", + "\n", + "#B.M At Pt A\n", + "M_A=-R_B*L+w1*L_DB*(L_DB*2**-1+L_CD+L_AC)+F_D*(L_CD+L_AC)+F_C*L_AC\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_DB,L_DB,L_CD+L_DB,L_CD+L_DB,L_CD+L_DB+L_AC,L_CD+L_DB+L_AC]\n", + "Y1=[V_B1,V_B2,V_D1,V_D2,V_C1,V_C2,V_A1,V_A2]\n", + "Z1=[0,0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "Y2=[M_B,M_D,M_C,M_A]\n", + "X2=[0,L_DB,L_DB+L_CD,L_AC+L_CD+L_DB]\n", + "Z2=[0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Length in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.3,Page No.102" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_DB=L_CD=1.5 #m #Length of DB & CD\n", + "L_AC=3 #m #Length of AC\n", + "F_D=80 #KN #Force at Pt D\n", + "w=40 #KN/m #u.v.l\n", + "L=6 #Length of beam\n", + "\n", + "#Calculations\n", + "\n", + "#Let R_A and R_B be the Reactions at Pt A & B respectively\n", + "#R_A+R_B=140 \n", + "#Taking moment at B we get,M_B\n", + "R_A=(1*2**-1*L_AC*w*(1*3**-1*L_AC+(L_CD+L_DB))+F_D*L_DB)*L**-1\n", + "R_B=140-R_A\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F at B\n", + "V_B1=0 #KN\n", + "V_B2=R_B #KN\n", + "\n", + "#S.F At D\n", + "V_D1=V_B2 #KN\n", + "V_D2=V_D1-F_D #KN\n", + "\n", + "#S.F at C\n", + "V_C=V_D2 #KN\n", + "\n", + "#S.F At A\n", + "V_A1=V_C-1*2**-1*w*L_AC #KN\n", + "V_A2=V_A1+R_A #KN\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M At B\n", + "M_B=0 #KN.m\n", + "\n", + "#B.M At D\n", + "M_D=-R_B*L_DB\n", + "\n", + "#B.M At C\n", + "M_C=F_D*L_CD-R_B*(L_DB+L_CD)\n", + "\n", + "#B.M At A\n", + "M_A=F_D*(L_CD+L_AC)-R_B*L+1*2**-1*w*L_AC*(1*3**-1*L_AC)+R_A\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_DB,L_DB,L_DB+L_CD,L_DB+L_CD+L_AC,L_DB+L_CD+L_AC]\n", + "Y1=[V_B1,V_B2,V_D1,V_D2,V_C,V_A1,V_A2]\n", + "Z1=[0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "X2=[0,L_DB,L_CD+L_DB,L_AC+L_CD+L_DB]\n", + "Y2=[M_B,M_D,M_C,M_A]\n", + "Z2=[0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Length in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.4,Page No.104" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "M_D=120 #KN.m #B.M at Pt D\n", + "F_C=40 #KN #Force at Pt C\n", + "w1=20 #KN.m\n", + "L_DB=1.5 #m #Length of DB\n", + "L_CD=1.5 #m #Length of CD\n", + "L_AC=3 #m #Length of AC\n", + "L=6 #m #Length of Beam\n", + "\n", + "#Calculations\n", + "\n", + "#Let R_A And R_B be the Reactions at pt A and B \n", + "#R_A+R_B=100\n", + "#Now Taking Moment At Pt B We get,M_B\n", + "R_A=-(M_D-F_C*(L_CD+L_DB)-w1*L_AC*(L_AC*2**-1+L_CD+L_DB))*L**-1\n", + "R_B=100-R_A\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F At Pt B\n", + "V_B1=0\n", + "V_B2=R_B\n", + "\n", + "#S.F at Pt D\n", + "V_D=V_B2 #KN\n", + "\n", + "#S.F At Pt C\n", + "V_C1=V_D #KN\n", + "V_C2=V_C1-F_C\n", + "\n", + "#S.F At Pt A\n", + "V_A1=V_C2-w1*L_AC #KN\n", + "V_A2=V_A1+R_A\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M At Pt B\n", + "M_B=0 #KN.m\n", + "\n", + "#B.M At Pt D\n", + "M_D1=M_B-R_B*L_DB #KN.m\n", + "M_D2=M_B+M_D-R_B*L_DB\n", + "\n", + "#B.M At Pt C\n", + "M_C=M_D-R_B*(L_CD+L_DB)\n", + "\n", + "#B.M At Pt A\n", + "M_A=M_D-R_B*L+F_C*L_AC+w1*L_AC*L_AC*2**-1\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_DB,L_DB+L_CD,L_DB+L_CD,L_DB+L_CD+L_AC,L_DB+L_CD+L_AC]\n", + "Y1=[V_B1,V_B2,V_D,V_C1,V_C2,V_A1,V_A2]\n", + "Z1=[0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "Y2=[M_B,M_D1,M_D2,M_C,M_A]\n", + "X2=[0,L_DB,L_DB,L_CD+L_DB,L_AC+L_CD+L_DB]\n", + "Z2=[0,0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Length in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.5,Page No.105" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "F_C=20 #KN #Force at Pt C\n", + "F_D=40 #KN #Force at pt D\n", + "w=20 #KN.m #u.d.l \n", + "L_AD=L_DB=2 #m #Length of AD & DB\n", + "L_BC=1 #m #Length of BC\n", + "L=5 #m #Length of Beam\n", + "\n", + "#Calculations\n", + "\n", + "#LEt R_A and R_B be the reactions at A & B respectively\n", + "#R_A+R_B=100 \n", + "#Now Taking Moment at B,M_B we get\n", + "R_A=-(F_C*L_BC-F_D*L_DB-w*L_AD*(L_AD*2**-1+L_DB))*(L_AD+L_DB)**-1\n", + "R_B=100-R_A\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F At pt C\n", + "V_C1=0 #KN\n", + "V_C2=-F_C #KN\n", + "\n", + "#S.F At PT B\n", + "V_B1=V_C2 #KN\n", + "V_B2=V_C2+R_B #KN\n", + "\n", + "#S.F At Pt D\n", + "V_D1=V_B2 #KN\n", + "V_D2=V_D1-F_D #KN\n", + "\n", + "#S.F At Pt A\n", + "V_A1=V_D2-w*L_AD #KN\n", + "V_A2=V_A1+R_A #KN\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M At Pt C\n", + "M_C=0 \n", + "\n", + "#B.M At Pt B\n", + "M_B=F_C*L_BC\n", + "\n", + "#B.M At Pt D\n", + "M_D=F_C*(L_BC+L_DB)-R_B*L_DB\n", + "\n", + "#B.M At Pt A\n", + "M_A=F_C*L-R_B*(L_DB+L_AD)+F_D*L_AD+w*L_AD*L_AD*2**-1\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_BC,L_BC,L_BC+L_DB,L_BC+L_DB,L_BC+L_DB+L_AD,L_BC+L_DB+L_AD]\n", + "Y1=[V_C1,V_C2,V_B1,V_B2,V_D1,V_D2,V_A1,V_A2]\n", + "Z1=[0,0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "Y2=[M_C,M_B,M_D,M_A]\n", + "X2=[0,L_BC,L_BC+L_DB,L_BC+L_DB+L_AD]\n", + "Z2=[0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Lenght in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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DoVBVVUVFRQWHDx82t8/9uRxhYWGEhobWeT4zM5OkpCR8fX0JDAwkODiY3NzcyzqWiFxY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\n+uo6P1lZWcyePZt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+ "text": [ + "" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.6,Page No.107" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_BC=L_EB=L_AD=1 #m #Length of spans BC,ED,AD\n", + "L_ED=2 #m #Length of ED\n", + "w=60 #KNm #u.d.l\n", + "F_C=20 #KN Pt Load at C\n", + "L=5 #m #Span of beam \n", + "\n", + "#Calculations\n", + "\n", + "#Let R_A & R_B be the reactions at A & B respectively\n", + "#R_A+R_B=80 \n", + "#Taking Moment At A,we get M_A\n", + "R_B=(F_C*L+1*2**-1*L_ED*w*(2*3**-1*L_ED+L_AD))*(L_AD+L_ED+L_EB)**-1\n", + "R_A=80-R_B\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F At C\n", + "V_C1=0 #KN\n", + "V_C2=-F_C #KN\n", + "\n", + "#S.F At B\n", + "V_B1=V_C2 #KN\n", + "V_B2=V_C2+R_B #KN \n", + "\n", + "#S.F aT E\n", + "V_E=V_B2 #KN\n", + "\n", + "#S.F AT D\n", + "V_D=V_B2-1*2**-1*L_ED*w #KN\n", + "\n", + "#S.F At A\n", + "V_A1=V_D #KN \n", + "V_A2=V_D+R_A\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M at C\n", + "M_C=0 #KN.m\n", + "\n", + "#B.M at B\n", + "M_B=F_C*L_BC #KN.m\n", + "\n", + "#B.M at E\n", + "M_E=F_C*(L_EB+L_BC)-R_B*L_EB #KN.m\n", + "\n", + "#B.M at D\n", + "M_D=F_C*(L_ED+L_EB+L_BC)-R_B*(L_ED+L_EB)+1*2**-1*L_ED*w*1*3**-1*L_ED #KN.m\n", + "\n", + "#B.M at A\n", + "M_A=1*2**-1*L_ED*w*(2*3**-1*L_ED+L_AD)-R_B*(L_AD+L_ED+L_EB)+F_C*L\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_BC,L_BC,L_EB+L_BC,L_ED+L_EB+L_BC,L_AD+L_ED+L_EB+L_BC,L_ED+L_EB+L_BC+L_AD]\n", + "Y1=[V_C1,V_C2,V_B1,V_B2,V_E,V_D,V_A1,V_A2]\n", + "Z1=[0,0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "X2=[0,L_BC,L_BC+L_EB,L_EB+L_BC+L_ED,L_EB+L_BC+L_ED+L_AD]\n", + "Y2=[M_C,M_B,M_E,M_D,M_A]\n", + "Z2=[0,0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Lenght in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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UlD0DZoHZoDk7OxvPPfec/SqwAoNm98HQmcjAloBZINmcwq5du5rcTwEAHnnkEeuqkgCb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\ncKYJZmM2nT66+Ta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+ "text": [ + "" + ] + } + ], + "prompt_number": 28 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.7,Page No.109" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_BC=1 #m #Length of BC\n", + "L_DB=2 #m #Length of DB\n", + "L_AD=4 #m #Length 0f AD\n", + "M_D=30 #KN.m #Moment at D\n", + "w=45 #KN/m #u.d.l\n", + "L=7 #m #Span of beam\n", + "\n", + "#Calculations\n", + "\n", + "#Let R_B & R_A be the Reactions at B & A respectively\n", + "#R_B+R_A=180+P ............(1)\n", + "\n", + "#Now Taking Moment about A,we get\n", + "#R_B=7*P+390 ...............(2)\n", + "\n", + "#Since R_A & R_B Are Equal\n", + "#2*R_B=180+P ...................(3)\n", + "\n", + "#From equation 1 and 3 we get\n", + "#3*(180+P)=7P+390\n", + "#After simplifying Further above equation we get\n", + "P=150*4**-1 #KN\n", + "R_A=R_B=(180+P)*2**-1\n", + "F_C=P\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F At C\n", + "V_C1=0 #KN\n", + "V_C2=-P #KN\n", + "\n", + "#S.F At B\n", + "V_B1=V_C2 #KN\n", + "V_B2=V_C2+R_B #KN \n", + "\n", + "#S.F At D\n", + "V_D=V_B2 #KN\n", + "\n", + "#S.F At A\n", + "V_A1=V_D-w*L_AD #KN\n", + "V_A2=V_A1+R_A #KN\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M at C\n", + "M_C=0 #KN.m \n", + "\n", + "#B.M at B\n", + "M_B=F_C*L_BC #KN.m\n", + "\n", + "#B.M at D\n", + "M_D1=F_C*(L_BC+L_DB)-R_B*L_DB #KN.m\n", + "M_D2=M_D1+M_D\n", + "\n", + "#B.M At A\n", + "M_A=w*L_AD*L_AD*2**-1+M_D-R_B*(L_AD+L_DB)+P*L\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_BC,L_BC,L_DB+L_BC,L_DB+L_BC+L_AD,L_DB+L_BC+L_AD]\n", + "Y1=[V_C1,V_C2,V_B1,V_B2,V_D,V_A1,V_A2]\n", + "Z1=[0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "X2=[0,L_BC,L_DB+L_BC,L_DB+L_BC,L_AD+L_DB+L_BC]\n", + "Y2=[M_C,M_B,M_D1,M_D2,M_A]\n", + "Z2=[0,0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Lenght in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.8,Page No.110" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=6 #m #Span Of beam\n", + "w=30 #KN/m #u.d.l\n", + "\n", + "#Calculations\n", + "\n", + "#Due to Symmetry\n", + "#Let R_B and R_C be the reactions at B & C Respectively\n", + "R_B=R_C=w*L*2**-1 #KN\n", + "\n", + "#Let a be the overhang.The Max -ve moment occurs at the support and max +ve moment at middle of the beam\n", + "#Now Equating these two equations we get\n", + "#30*a*a*2**-1=90*(3-a)-w*L*2**-1*L*4**-1\n", + "#After simplifying we get an equation as\n", + "#a**2+6*a-9=0\n", + "x=1\n", + "y=6\n", + "z=-9\n", + "\n", + "p=y**2-4*x*z\n", + "\n", + "a1=(-y+p**0.5)*2**-1\n", + "a2=(-y-p**0.5)*2**-1\n", + "\n", + "#Now Length cannot be negative,so taking a1 into Consideration\n", + "\n", + "L_CD=L_AB=a1\n", + "L_BC=L-2*a1\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F At D\n", + "V_D=0\n", + "\n", + "#S.F At C\n", + "V_C1=V_D-w*L_CD #KN\n", + "V_C2=V_C1+R_C #KN\n", + "\n", + "#S.F At B\n", + "V_B1=-w*(L_BC+L_CD)+R_C\n", + "V_B2=V_B1+R_B\n", + "\n", + "#S.F At A\n", + "V_A=round(V_B2,2)-round(w*L_AB,2)\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M At D\n", + "M_D=0\n", + "\n", + "#B.M At C\n", + "M_C=w*L_CD*L_CD*2**-1 #KN.m\n", + "\n", + "#B.M At B\n", + "M_B=w*(L_BC+L_CD)*(L_BC+L_CD)*2**-1-R_C*L_BC*L_BC*2**-1\n", + "\n", + "#B.M At A\n", + "X=w*L*L*2**-1\n", + "Y=-R_C*(L_AB+L_BC)-R_B*L_AB\n", + "M_A=X+Y\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,L_CD,L_CD,L_CD+L_BC,L_CD+L_BC,L_CD+L_BC+L_AB]\n", + "Y1=[V_D,V_C1,V_C2,V_B1,V_B2,V_A]\n", + "Z1=[0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "X2=[0,L_CD,L_BC+L_CD,L_AB+L_BC+L_CD]\n", + "Y2=[M_D,M_C,M_B,M_A]\n", + "Z2=[0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Lenght in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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LUVxcrNtAqS48PDxqdH5WVhby8vIQEBAAAJg4cSJ27NjBhEGkEDc3ID5e7BWe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\nMQcOHJASExMlb29vtUPRi6y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+ "text": [ + "" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.9,Page No.112" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "F_F=6 #KN #Force at F\n", + "w1=w2=w=3 #KN.m #u.d.l\n", + "M_D=24 #KN.m \n", + "L_AB=L_CD=L_DE=L_EF=4 #m #Length of AB,CD,DE,EF\n", + "L_BC=2 #m #Length of BC\n", + "L=18 #m #Span of Beam\n", + "\n", + "#Calculations\n", + "\n", + "#LEt R_B and R_E be the Reactions at B & E respectively\n", + "#R_B+R_E=42\n", + "\n", + "#Taking Moment At Pt B,M_B\n", + "R_E=(F_F*(L_BC+L_CD+L_DE+L_EF)+w*(L_CD+L_DE)*((L_CD+L_DE)*2**-1+L_BC)-w*L_AB*L_AB*2**-1-M_D)*(L_BC+L_CD+L_DE)**-1\n", + "R_B=42-R_E #KN\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F aT F\n", + "V_F1=0 #KN \n", + "V_F2=-F_F #KN\n", + "\n", + "#S.F at E\n", + "V_E1=V_F2 #KN\n", + "V_E2=V_E1+R_E #KN\n", + "\n", + "#S.F aT C\n", + "V_C=V_E2-w*(L_CD+L_DE) #KN\n", + "\n", + "#S.F at B\n", + "V_B1=V_C #KN \n", + "V_B2=V_C+R_B #KN\n", + "\n", + "#S.F At A\n", + "V_A=V_B2-w*L_AB #KN\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M At F\n", + "M_F=0\n", + "\n", + "#B.M At E\n", + "M_E=F_F*L_EF #KN.m\n", + "\n", + "#B.M At D\n", + "M_D1=F_F*(L_DE+L_EF)-R_E*L_DE+w*L_DE*L_DE*2**-1 #KN.m\n", + "M_D2=M_D1-M_D\n", + "\n", + "#B.M At C\n", + "M_C=F_F*(L_CD+L_DE+L_EF)-R_E*(L_CD+L_DE)+w*(L_CD+L_DE)*(L_CD+L_DE)*2**-1-M_D\n", + "\n", + "#B.M At B\n", + "M_B=F_F*(L_BC+L_CD+L_DE+L_EF)-R_E*(L_BC+L_CD+L_DE)-M_D+w*(L_CD+L_DE)*((L_CD+L_DE)*2**-1+L_BC)\n", + "\n", + "#B.M At A\n", + "M_A=w*L_AB*L_AB*2**-1-R_B*L_AB+w*(L_CD+L_DE)*((L_CD+L_DE)*2**-1+L_BC+L_AB)-R_E*(L_AB+L_BC+L_CD+L_DE)+F_F*L-M_D\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_EF,L_EF,L_EF+L_DE+L_CD,L_EF+L_DE+L_CD+L_BC,L_EF+L_DE+L_CD+L_BC,L_EF+L_DE+L_CD+L_BC+L_AB]\n", + "Y1=[V_F1,V_F2,V_E1,V_E2,V_C,V_B1,V_B2,V_A]\n", + "Z1=[0,0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "X2=[0,L_EF,L_DE+L_EF,L_DE+L_EF,L_CD+L_DE+L_EF,L_CD+L_DE+L_EF+L_BC,L_CD+L_DE+L_EF+L_BC+L_AB]\n", + "Y2=[M_F,M_E,M_D1,M_D2,M_C,M_B,M_A]\n", + "Z2=[0,0,0,0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Lenght in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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VxMfHIzs7G/369cOvv/6KcePG4bHHHnNknEROixVL5KzMziBqa2uRmJiIMWPG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\nfyRzHAAAAABJRU5ErkJggg==\n", + "text": [ + "" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.10,Page No.114" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_DC=L_BA=2 #m #Length of BA & DC\n", + "L_CB=1 #m #Length of CB\n", + "F_A=10 #KN #Force at pt A\n", + "F_B=20 #KN #Force at pt B\n", + "w=4 #KN.m #u.d.l\n", + "L=5 #m #Length of beam\n", + "\n", + "#Calculations\n", + "\n", + "#Let R_D be the reactions at Pt D\n", + "R_D=F_B+F_A+w*L_DC #KN\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F at Pt A\n", + "V_A1=0 #KN\n", + "V_A2=F_A #KN\n", + "\n", + "#S.F At Pt B\n", + "V_B1=V_A2\n", + "V_B2=F_B+F_A\n", + "\n", + "#S.F at Pt C\n", + "V_C=F_B+F_A #KN \n", + "\n", + "#S.F At Pt D\n", + "V_D1=V_B2+w*L_DC\n", + "V_D2=F_B+F_A+w*L_DC-R_D\n", + "\n", + "#B.M At Pt A\n", + "M_A=0\n", + "\n", + "#B.M At Pt B\n", + "M_B=F_A*L_BA\n", + "\n", + "#B.M at Pt C\n", + "M_C=F_B*L_CB+F_A*(L_BA+L_CB) #KN\n", + "\n", + "#B.M At Pt D\n", + "M_D1=F_A*L+F_B*(L_CB+L_DC)+w*L_DC*L_DC*2**-1\n", + "M_D2=(F_A*L+F_B*(L_CB+L_DC)+w*L_DC*L_DC*2**-1)-M_D1\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_BA,L_BA,L_BA+L_CB,L_BA+L_CB+L_DC,L_BA+L_CB+L_DC]\n", + "Y1=[V_A1,V_A2,V_B1,V_B2,V_C,V_D1,V_D2]\n", + "Z1=[0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "Y2=[M_A,M_B,M_C,M_D1,M_D2]\n", + "X2=[0,L_BA,L_CB+L_BA,L_CB+L_BA+L_DC,L_CB+L_BA+L_DC]\n", + "Z2=[0,0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Lenght in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.11,Page No.115" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "w=20 #KN/m #u.v.l\n", + "F_C=40 #KN #Force at Pt C\n", + "M_D=40 #KN.m #Moment at pt D\n", + "L_AB=3 #m #Length of AB\n", + "L_BC=1 #m #Length of BC\n", + "L_CD=L_DE=2 #m #Length of CD & DE\n", + "L=8 #8 #Length of beam\n", + "\n", + "#Calculations\n", + "\n", + "#Let R_A & R_E be the Reactions at A & E respectively\n", + "#R_A+R_E=70\n", + "\n", + "#Taking Moments At Pt A we get,M_A\n", + "R_E=(F_C*(L_AB+L_BC)+1*2**-1*L_AB*w*2+40)*L**-1\n", + "R_A=70-R_E\n", + "\n", + "#shear Force Calculations\n", + "\n", + "#S.F At Pt E\n", + "V_E1=0\n", + "V_E2=R_E #KN\n", + "\n", + "#S.F aT pt D\n", + "V_D=V_E2\n", + "\n", + "#S.F At PT C\n", + "V_C1=V_D\n", + "V_C2=V_D-F_C #KN\n", + "\n", + "#S.F At Pt A\n", + "V_A1=V_C2-(1*2**-1*w*L_AB)\n", + "V_A2=V_A1+R_A\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M At Pt E\n", + "M_E=0\n", + "\n", + "#B.M At Pt D\n", + "M_D1=M_E-R_E*L_DE\n", + "M_D2=M_D1+M_D\n", + "\n", + "#B.M At Pt C\n", + "M_C=-R_E*(L_DE+L_CD)+M_D\n", + "\n", + "#B.M At Pt B\n", + "M_B=-R_E*(L_DE+L_CD+L_BC)+M_D+F_C*L_BC\n", + "\n", + "#B.M At Pt A\n", + "M_A=-R_E*L+M_D+(1*2**-1*L_AB*w*2)+F_C*(L_BC+L_AB)\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_DE,L_CD+L_DE,L_CD+L_DE,L_CD+L_DE+L_AB,L_CD+L_DE+L_AB]\n", + "Y1=[V_E1,V_E2,V_D,V_C1,V_C2,V_A1,V_A2]\n", + "Z1=[0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "Y2=[M_E,M_D1,M_D2,M_C,M_B,M_A]\n", + "X2=[0,L_DE,L_DE,L_CD+L_DE,L_DE+L_CD+L_BC,L_AB+L_BC+L_CD+L_DE]\n", + "Z2=[0,0,0,0,0,0]\n", + "plt.plot(X2,Y2)\n", + "plt.xlabel(\"Lenght in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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PZcuW8dRTT5GZmcnOnTtp1KgRI0aMsPs+cvTnxbp1U4fwLFyoO4nzTCaYMkWt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\nd/r0aduBO+VVUFCA2Wxm+/b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+ "text": [ + "" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.12,Page No.116" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "F_G=10 #KN #Force at Pt G\n", + "F_B=F_E=15 #KN #Force at Pt B & E\n", + "w=20 #KN/m #U.d.L\n", + "L_FG=L_EF=L_DE=L_CD=L_BC=L_AB=1 #m #Lengths of FG,EF,DE,CD,BC,AB respectively\n", + "L=6 #m #Length of beam\n", + "\n", + "#Calculations\n", + "\n", + "#LEt R_F & R_A be the Reactions at E & A respectively\n", + "#R_F+R_A=60\n", + "\n", + "#Taking Moment At Pt A,M_A\n", + "R_F=(F_G*L+F_E*(L_AB+L_BC+L_CD+L_DE)+w*L_CD*(L_AB+L_BC+L_CD*2**-1)+F_B*L_AB)*(L_AB+L_BC+L_CD+L_DE+L_EF)**-1\n", + "R_A=60-R_F\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F At G\n", + "V_G1=0 #KN \n", + "V_G2=F_G #KN\n", + "\n", + "#S.F At F\n", + "V_F1=V_G2 #KN\n", + "V_F2=V_F1-R_F\n", + "\n", + "#S.F At E\n", + "V_E1=V_F2 #KN\n", + "V_E2=V_F2+F_E\n", + "\n", + "#S.F At D\n", + "V_D=V_E2\n", + "\n", + "#S.F At C\n", + "V_C=V_E2+w*L_CD\n", + "\n", + "#S.F At B\n", + "V_B1=V_C\n", + "V_B2=V_B1+F_B\n", + "\n", + "#S.F At A\n", + "V_A1=V_B2\n", + "V_A2=V_B2-R_A\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M At Pt G\n", + "M_G=0\n", + "\n", + "#B.M At F\n", + "M_F=F_G*L_FG \n", + "\n", + "#B.M At E\n", + "M_E=F_G*(L_FG+L_EF)-R_F*L_EF\n", + "\n", + "#B.M At D\n", + "M_D=F_G*(L_FG+L_EF+L_DE)-R_F*(L_EF+L_DE)+F_E*L_DE\n", + "\n", + "#B.M At C\n", + "M_C=F_G*(L_FG+L_EF+L_DE+L_CD)-R_F*(L_EF+L_DE+L_CD)+F_E*(L_DE+L_CD)+w*L_CD*L_CD*2**-1\n", + "\n", + "#B.M At B\n", + "M_B=F_G*(L_FG+L_EF+L_DE+L_CD+L_BC)-R_F*(L_EF+L_DE+L_CD+L_BC)+F_E*(L_DE+L_CD+L_BC)+w*L_CD*(L_CD*2**-1+L_BC)\n", + "\n", + "#B.M At A\n", + "M_A=F_G*L-R_F*(L_EF+L_DE+L_CD+L_BC+L_AB)+F_E*(L_DE+L_CD+L_BC+L_AB)+F_B*L_AB+w*L_CD*(L_CD*2**-1+L_BC+L_AB)\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,0,L_FG,L_FG,L_FG+L_EF,L_FG+L_EF,L_FG+L_EF+L_DE,L_FG+L_EF+L_DE+L_CD,L_FG+L_EF+L_DE+L_CD+L_BC,L_FG+L_EF+L_DE+L_CD+L_BC,L_FG+L_EF+L_DE+L_CD+L_BC+L_AB,L_FG+L_EF+L_DE+L_CD+L_BC+L_AB]\n", + "Y1=[V_G1,V_G2,V_F1,V_F2,V_E1,V_E2,V_D,V_C,V_B1,V_B2,V_A1,V_A2]\n", + "Z1=[0,0,0,0,0,0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "X2=[0,L_FG,L_EF+L_FG,L_EF+L_FG+L_DE,L_EF+L_FG+L_DE+L_CD,L_EF+L_FG+L_DE+L_CD+L_BC,L_EF+L_FG+L_DE+L_CD+L_BC+L_AB]\n", + "Y2=[M_G,M_F,M_E,M_D,M_C,M_B,M_A]\n", + "Z2=[0,0,0,0,0,0,0]\n", + "plt.plot(X2,Y2)\n", + "plt.xlabel(\"Lenght in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 3.3.13,Page No.117" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "L_AB=L_BC=L_CD=L_DE=L_EF=1 #m #LEngth of AB,BC,CD,DE,EF respectively\n", + "M_A=50 #KN/m #Moment at A\n", + "w=5 #KN/m #u.v.l\n", + "F_D=10 #KN\n", + "w2=5 #KN/m #u.d.l\n", + "\n", + "#Calculations\n", + "\n", + "#Let R_B & R_E be the Reactions at B and E respectively\n", + "#R_B+R_E=20\n", + "\n", + "#Taking Moment At Pt B,M_B\n", + "R_E=(w2*L_EF*(L_EF*2**-1+L_DE+L_CD+L_BC)+w*L_BC*2**-1*2*3**-1+50+F_D*(L_BC+L_CD))*3**-1\n", + "R_B=17.5-R_E #KN\n", + "\n", + "#Shear Force Calculations\n", + "\n", + "#S.F At F\n", + "V_F=0\n", + "\n", + "#S.F aT E\n", + "V_E1=-w2*L_EF #KN\n", + "V_E2=V_E1+R_E\n", + "\n", + "#S.F at D\n", + "V_D1=R_E-w2*L_EF #KN\n", + "V_D2=V_D1-F_D #KN\n", + "\n", + "#S.F At C\n", + "V_C=V_D2\n", + "\n", + "#S.F aT B\n", + "V_B1=-L_BC*w*2**-1-F_D+R_E-w2*L_EF\n", + "V_B2=V_B1+R_B\n", + "\n", + "#Bending Moment Calculations\n", + "\n", + "#B.M at F\n", + "M_F=0 #KN.m\n", + "\n", + "#B.M At E\n", + "M_E=w2*L_EF*L_EF*2**-1 #KN.m\n", + "\n", + "#B.M at D\n", + "M_D=-R_E*L_DE+w2*L_EF*(L_EF*2**-1+L_DE) #KN.m\n", + "\n", + "#B.M At C\n", + "M_C=F_D*L_CD*R_E*(L_CD+L_DE)+w2*L_EF*(L_EF*2**-1+L_DE+L_CD) #KN.m\n", + "\n", + "#B.M At B\n", + "M_B=F_D*(L_CD+L_BC)-R_E*(L_BC+L_CD+L_DE)+w2*L_EF*(L_EF*2**-1+L_BC+L_CD+L_DE)+1*2**-1*L_BC*w*2*3**-1\n", + "\n", + "#B.M At A\n", + "M_A1=w*L_EF*(L_EF*2**-1+L_AB+L_BC+L_CD+L_DE)-R_E*(L_AB+L_BC+L_CD+L_DE)+F_D*(L_AB+L_BC+L_CD)+1*2**-1*L_BC*w*(2*3**-1*L_BC+L_AB)-R_B*L_AB\n", + "M_A2=M_A1+M_A\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,L_EF,L_EF,L_DE+L_EF,L_DE+L_EF,L_CD+L_DE+L_EF,L_CD+L_DE+L_EF+L_BC,L_CD+L_DE+L_EF+L_BC]\n", + "Y1=[V_F,V_E1,V_E2,V_D1,V_D2,V_C,V_B1,V_B2]\n", + "Z1=[0,0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n", + "\n", + "#Plotting the Bendimg Moment Diagram\n", + "\n", + "X2=[0,L_EF,L_DE+L_EF,L_CD+L_DE+L_EF,L_CD+L_DE+L_EF+L_BC,L_CD+L_DE+L_EF+L_BC+L_AB,L_CD+L_DE+L_EF+L_BC+L_AB]\n", + "Y2=[M_F,M_E,M_D,M_C,M_B,M_A1,M_A2]\n", + "Z2=[0,0,0,0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Length in m\")\n", + "plt.ylabel(\"Bending Moment in kN.m\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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LlixREhMTLY8fMWKEsm/fvjuex4ZfSQi7euUVRXnxRa1TuIdr1xRFr1eUb77R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\ntnx2yhiGEEIIm0jBEEIIYRM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+ "text": [ + "" + ] + } + ], + "prompt_number": 18 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_1.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_1.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_5.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_5.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_6.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_6.ipynb new file mode 100644 index 00000000..09aec3f9 --- /dev/null +++ b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.4_6.ipynb @@ -0,0 +1,1628 @@ +{ + "metadata": { + "name": "chapter no.4.ipynb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 4:Stresses in Beams" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.1,Page no.130" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=5000 #mm #Length of Beam\n", + "a=2000 #mm #Length of start of beam to Pt Load\n", + "b=3000 #mm #Length of Pt load to end of beam\n", + "A=150*250 #m**2 #Area of beam\n", + "b=150 #mm #Width of beam\n", + "d=250 #mm #Depth of beam\n", + "sigma=10#N/mm**2 #stress\n", + "l=2000 #m #Load applied from one end\n", + "\n", + "#Calculations\n", + "\n", + "#Moment of Inertia\n", + "I=1*12**-1*b*d**3 #m**4\n", + "\n", + "#Distance from N.A to end\n", + "y_max=d*2**-1 #m\n", + "\n", + "#Section Modulus\n", + "Z=1*6**-1*b*d**2 #mm**3\n", + "\n", + "#Moment Carrying Capacity\n", + "M=sigma*Z #N-mm\n", + "\n", + "#Let w be the Intensity of the Load in N/m,then Max moment\n", + "#M_max=w*L**2*8**-1 #N-mm\n", + "#After substituting values and further simplifying we get\n", + "#M_max=w*25*100*8**-1\n", + "\n", + "#EQuating it to moment carrying capacity,we get max intensity load\n", + "w=M*(25*1000)**-1*8*10**-3\n", + "\n", + "#Part-2\n", + "\n", + "#Let P be the concentrated load,then max moment occurs under the load and its value\n", + "#M1=P*a*b*L**-1 #N-mm\n", + "\n", + "#Equting it to moment carrying capacity we get\n", + "P=M*1200**-1*10**-3 #N\n", + "\n", + "#Result\n", + "print\"Max Intensity of u.d.l it can carry\",round(w,3),\"KN-m\"\n", + "print\"MAx concentrated Load P apllied at 2 m from one end is\",round(P,3),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max Intensity of u.d.l it can carry 5.0 N-mm\n", + "MAx concentrated Load P apllied at 2 m from one end is 13.021 KN\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.2,Page no.131" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "D=70 #mm #External Diameter\n", + "t=8 #mm #Thickness of pipe\n", + "L=2500 #mm #span \n", + "sigma=150 #N/mm**2 #stress\n", + "\n", + "#Calculations\n", + "\n", + "#Internal Diameter \n", + "d=D-2*t #mm\n", + "\n", + "#M.I Of Pipe\n", + "I=pi*64**-1*(D**4-d**4) #mm**4\n", + "\n", + "y_max=D*2**-1 #mm\n", + "Z=I*(y_max)**-1 #mm**3\n", + "\n", + "#Moment Carrying capacity\n", + "M=sigma*Z #N*mm\n", + "\n", + "#Max moment int the beam occurs at the mid-span and is equal to\n", + "#m=P*L*4**-1\n", + "\n", + "#Equating Max moment to moment carrying capacity we get,\n", + "#M=P*2.5*L*4**-1\n", + "#After substituting and simplifying we get\n", + "P=4*M*(L)**-1*10**-3 #N\n", + "\n", + "#Result\n", + "print\"Max concentrated load that can be applied at the centre of span is\",round(P,3),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max concentrated load that can be applied at the centre of span is 5.22 KN\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.3,Page no.132" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Flanges Dimension\n", + "b1=180 #mm #Width\n", + "d1=10 #mm #Thickness\n", + "\n", + "D=500 #mm #Overall depth\n", + "t=8 #mm #Thickness of web\n", + "\n", + "#Plate Dimensions\n", + "b2=240 #mm #Width\n", + "t2=12 #mm #Thickness\n", + "\n", + "sigma=150 #N/mm**2 #Stress\n", + "L=3000 #mm #span\n", + "\n", + "#Calculations\n", + "\n", + "#Distance of centroid from bottom fibre\n", + "y_bar=(b2*t2*(D+t2*2**-1)+b1*d1*(D-t1*2**-1)+(D-2*t1)*t*D*2**-1+(b1*t1*t1*2**-1))*(b2*t2+b1*d1+b1*d1+(D-2*d1)*t)**-1\n", + "\n", + "#M.I of section\n", + "I=(1*12**-1*b2*t2**3+b2*t2*(D+t2*2**-1-y_bar)**2+1*12**-1*b1*d1**3+b1*d1*(D-t1*2**-1-y_bar)**2+1*12**-1*b1*t1**3+b1*t1*(t1*2**-1-y_bar)**2+1*12**-1*t*(D-2*t1)**3+t*(D-2*t1)*(D*2**-1-y_bar)**2)\n", + "\n", + "#Section Modulus\n", + "Z=I*(y_bar)**-1 #mm**3\n", + "\n", + "#Moment or Resistance\n", + "M=sigma*Z\n", + "\n", + "#Let Load on Cantilever be w/m Length \n", + "#Max M.I produced\n", + "#M_max=w*L**2**-1 \n", + "\n", + "#Now Equating Moment of resistance to Max moment,we get Max load\n", + "#4.5*w=M\n", + "#After rearranging and further simplifying we get\n", + "w=M*4.5**-1*10**3*10**-9\n", + "\n", + "#Result\n", + "print\"Moment of Resistance is\",round(M,2),\"KN-mm\"\n", + "print\"Load the section can carry is\",round(w,3),\"KN/m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Moment of Resistance is 198770121.83 KN-mm\n", + "Load the section can carry is 44.171 KN/m\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.4,Page no.134" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Flange (Top)\n", + "b1=80 #mm #Width \n", + "t1=40 #mm #Thickness\n", + "\n", + "#Flange (Bottom)\n", + "b2=160 #mm #width\n", + "t2=40 #mm #Thickness\n", + "\n", + "#web\n", + "d=120 #mm #Depth\n", + "t3=20 #mm #Thickness\n", + "\n", + "D=200 #mm #Overall Depth\n", + "sigma1=30 #N/mm**2 #Tensile stress\n", + "sigma2=90 #N/mm**2 #Compressive stress\n", + "L=6000 #mm #Span\n", + "\n", + "#Calculations\n", + "\n", + "#Distance of centroid from bottom fibre\n", + "y_bar=(b1*t1*(D-t1*2**-1)+d*t3*(d*2**-1+t2)+b2*t2*t2*2**-1)*(b1*t1+d*t3+b2*t2)**-1 #mm\n", + "\n", + "#Moment of Inertia\n", + "I=1*12**-1*b1*t1**3+b1*t1*(D-t1*2**-1-round(y_bar,2))**2+1*12**-1*t3*d**3+t3*d*(d*2**-1+t2-round(y_bar,2))**2+1*12**-1*b2*t2**3+b2*t2*(t2*2**-1-round(y_bar,2))**2\n", + "\n", + "#Extreme fibre distance of top and bottom fibres are y_t and y_c respectively\n", + "\n", + "y_t=y_bar #mm\n", + "y_c=D-y_bar #mm\n", + "\n", + "#Moment carrying capacity considering Tensile strength \n", + "M1=sigma1*I*y_t**-1*10**-6 #KN-m\n", + "\n", + "#Moment carrying capacity considering compressive strength \n", + "M2=sigma2*I*y_c**-1*10**-6 #KN-m\n", + "\n", + "#Max Bending moment in simply supported beam 6 m due to u.d.l\n", + "#M_max=w*L*10**-3*8**-1\n", + "#After simplifying further we get\n", + "#M_max=4.5*w\n", + "\n", + "#Now Equating it to Moment carrying capacity, we get load carrying capacity\n", + "w=M1*4.5**-1 #KN/m\n", + "\n", + "#Result\n", + "print\"Max Uniformly Distributed Load is\",round(w,3),\"KN/m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max Uniformly Distributed Load is 5.096 KN/m\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.5,Page no.136" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "from scipy.integrate import quad\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Flanges\n", + "b=200 #mm #Width\n", + "t=25 #mm #Thickness \n", + "\n", + "D1=500 #mm #Overall Depth\n", + "t2=20 #mm #Thickness of web\n", + "\n", + "d=450 #mm #Depth of web\n", + "\n", + "#Calculations\n", + "\n", + "#Consider,Element of Thickness \"y\" at Distance \"dy\" from N.A \n", + "#Let Bending stress \"sigma_max\"\n", + "\n", + "#Stress on the element \n", + "#sigma=y*(D*2**-1)*sigma_max ..............(1)\n", + "\n", + "#Area of Element\n", + "#A=b*dy .................................(2)\n", + "\n", + "#Force on Element \n", + "#F=y*250**-1*sigma_max*b*dy\n", + "\n", + "#Let M be the Moment of resistance\n", + "#M=y*250**-1*sigma_max*b*dy*y\n", + "\n", + "#Moment of Resistance of top flange be M1\n", + "def integrand(y, b, D):\n", + " return b*y**2*D**-1\n", + "b=200 \n", + "D=250\n", + "\n", + "X = quad(integrand, 225, 250, args=(b,D))\n", + "\n", + "Y=2*X[0]\n", + "\n", + "#M1=Y*sigma\n", + "\n", + "#Now Moment of Inertia I section is\n", + "X=b*D1**3\n", + "Y=(b-t2)*d**3\n", + "I=(X-Y)*12**-1*10**-8\n", + "\n", + "#Moment acting on the entire section\n", + "#since sigmais the value at y=250\n", + "y_max=250\n", + "Z=I*10**8*y_max**-1\n", + "#M=sigma*Z \n", + "#After Simplifying Further we get\n", + "#M2=Z*sigma\n", + "\n", + "#Percentage Moment resisted by Flanges\n", + "P1=2258333.3*(2865833.3)**-1*100\n", + "\n", + "#Percentage Moment resisted by web\n", + "P2=100-P1\n", + "\n", + "#Result\n", + "print\"Percentage Moment resisted by Flanges\",round(P1,2),\"%\"\n", + "print\"Percentage Moment resisted by web\",round(P2,2),\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Percentage Moment resisted by Flanges 78.8 %\n", + "Percentage Moment resisted by web 21.2 %\n" + ] + } + ], + "prompt_number": 38 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.6,Page no.137" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Flanges\n", + "b1=200 #mm #Width\n", + "t1=10 #mm #Thickness\n", + "\n", + "#Web\n", + "d=380 #mm #Depth \n", + "t2=8 #mm #Thickness\n", + "\n", + "D=400 #mm #Overall Depth\n", + "sigma=150 #N/mm**2\n", + "\n", + "#Calculations\n", + "\n", + "#Area\n", + "A=b1*t1+d*t2+b1*t1 #mm**2\n", + "\n", + "#Moment of Inertia\n", + "I=1*12**-1*(b1*D**3-(b1-t2)*d**3)\n", + "\n", + "#Bending Moment\n", + "M=sigma*I*(D*2**-1)**-1\n", + "\n", + "#Square Section\n", + "\n", + "#Let 'a' be the side\n", + "a=A**0.5\n", + "\n", + "#Moment of Resistance of this section\n", + "M1=1*6**-1*a*a**2*sigma\n", + "\n", + "X=M*M1**-1\n", + "\n", + "#Rectangular section\n", + "#Let 'a' be the side and depth be 2*a\n", + "\n", + "a=(A*2**-1)**0.5\n", + "\n", + "#Moment of Rectangular secction\n", + "M2=1*6**-1*a*(2*a)**2*sigma\n", + "\n", + "X2=M*M2**-1\n", + "\n", + "#Circular section\n", + "#A=pi*d1**2*4**-1\n", + "\n", + "d1=(A*4*pi**-1)**0.5\n", + "\n", + "#Moment of circular section\n", + "M3=pi*32**-1*d1**3*sigma\n", + "\n", + "X3=M*M3**-1\n", + "\n", + "#Result\n", + "print\"Moment of resistance of beam section\",round(M,2),\"mm\"\n", + "print\"Moment of resistance of square section\",round(X,2),\"mm\"\n", + "print\"Moment of resistance of rectangular section\",round(X2,2),\"mm\"\n", + "print\"Moment of resistance of circular section\",round(X3,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Moment of resistance of beam section 141536000.0 mm\n", + "Moment of resistance of square section 9.58 mm\n", + "Moment of resistance of rectangular section 6.78 mm\n", + "Moment of resistance of circular section 11.33 mm\n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.7,Page no.139" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "F=12 #KN #Force at End of beam\n", + "L=2 #m #span\n", + "\n", + "#Square section \n", + "b=d=200 #mm #Width and depth of beam\n", + "\n", + "#Rectangular section\n", + "b1=150 #mm #Width\n", + "d1=300 #mm #Depth\n", + "\n", + "#Calculations\n", + "\n", + "#Max bending Moment\n", + "M=F*L*10**6 #N-mm\n", + "\n", + "#M=sigma*b*d**2\n", + "sigma=M*6*(b*d**2)**-1 #N/mm**2\n", + "\n", + "#Let W be the central concentrated Load in simply supported beam of span L1=3 m\n", + "#MAx Moment\n", + "#M1=W*L1*4**-1\n", + "#After Further simplifying we get\n", + "#M1=0.75*10**6 #N-mm\n", + "\n", + "#The section has a moment of resistance\n", + "M1=sigma*1*6**-1*b1*d1**2\n", + "\n", + "#Equating it to moment of resistance we get max load W\n", + "#0.75*10**6*W=M1\n", + "#After Further simplifying we get\n", + "W=M1*(0.75*10**6)**-1\n", + "\n", + "#Result\n", + "print\"Minimum Concentrated Load required to brek the beam\",round(W,2),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Minimum Concentrated Load required to brek the beam 54.0 KN\n" + ] + } + ], + "prompt_number": 30 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.8,Page no.140" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=3 #m #span\n", + "sigma_t=35 #N/mm**2 #Permissible stress in tension\n", + "sigma_c=90 #N/mm**2 #Permissible stress in compression\n", + "\n", + "#Flanges\n", + "t=30 #mm #Thickness\n", + "d=250 #mm #Depth\n", + "\n", + "#Web\n", + "t2=25 #mm #Thickness\n", + "b=600 #mm #Width\n", + "\n", + "#Calculations\n", + "\n", + "#Let y_bar be the Distance of N.A from Extreme Fibres\n", + "y_bar=(t*d*d*2**-1*2+(b-2*t)*t2*t2*2**-1)*(t*d*2+(b-2*t)*t2)**-1\n", + "\n", + "#Moment of Inertia\n", + "I=(1*12**-1*t*d**3+t*d*(d*2**-1-y_bar)**2)*2+1*12**-1*(b-2*t)*t2**3+(b-2*t)*t2*(t2*2**-1-y_bar)**2\n", + "\n", + "#Part-1\n", + "\n", + "#If web is in Tension\n", + "y_t=y_bar #mm\n", + "y_c=d-y_bar #mm\n", + "\n", + "#Moment carrying caryying capacity From consideration of tensile stress\n", + "M=sigma_t*I*(y_bar)**-1 #N-mm\n", + "\n", + "#Moment carrying caryying capacity From consideration of compressive stress\n", + "M1=sigma_c*I*(y_c)**-1 #N-mm\n", + "\n", + "#If w KN/m is u.d.l in beam,Max bending moment\n", + "#M=wl**2*8**-1\n", + "#After further simplifyng we get\n", + "#M=1.125*w*10**6 N-mm\n", + "w=M*(1.125*10**6)**-1 #KN\n", + "\n", + "#Part-2\n", + "\n", + "#If web is in compression\n", + "y_t2=178.299 #mm\n", + "y_c2=71.71 #mm \n", + "\n", + "#Moment carrying caryying capacity From consideration of tensile stress\n", + "M2=sigma_t*I*(y_t2)**-1 #N-mm\n", + "\n", + "#Moment carrying caryying capacity From consideration of compressive stress\n", + "M3=sigma_c*I*(y_c2)**-1 #N-mm\n", + "\n", + "#Moment of resistance is M2\n", + "\n", + "#Equating it to bending moment we get\n", + "#M2=1.125*10**6*w2\n", + "#After further simplifyng we get\n", + "w2=M2*(1.125*10**6)**-1\n", + "\n", + "#Result\n", + "print\"Uniformly Distributed Load carrying capacity if:web is in Tension\",round(w,2),\"KN\"\n", + "print\" :web is in compression\",round(w2,3),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Uniformly Distributed Load carrying capacity if:web is in Tension 73.21 KN\n", + " :web is in compression 29.446 KN\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.9,Page no.141" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "b1=200 #mm #Width at base\n", + "b2=100 #mm #Width at top\n", + "\n", + "L=8 #m Length\n", + "P=500 #N #Load\n", + "\n", + "#Calculations\n", + "\n", + "#Consider a section at y metres from top\n", + "\n", + "#At this section diameter d is\n", + "#d=b2+y*L**-1*(b1-b2)\n", + "#After Further simplifying we get\n", + "#d=b2+12.5*y #mm\n", + "\n", + "#Moment of Inertia\n", + "#I=pi*64**-1*d**4\n", + "\n", + "#Section Modulus \n", + "#Z=pi*32**-1*(b1+12.5*y)**3\n", + "\n", + "#Moment \n", + "#M=5*10**5*y #N-mm\n", + "\n", + "#Let sigma be the fibre stress at this section then\n", + "#M=sigma*Z\n", + "#After sub values in above equation and further simplifying we get\n", + "#sigma=5*10**5*32*pi**-1*y*((b2+12.5*y)**3)**-1\n", + "\n", + "#For sigma to be Max,d(sigma)*(dy)**-1=0\n", + "#16*10**6*pi**-1*((b2+12.5*y)**-3+y*(-3)*(b2+12.5*y)**-4*12.5)\n", + "#After Further simplifying we get\n", + "#b2+12.5*y=37.5*y\n", + "#After Further simplifying we get\n", + "y=b2*25**-1 #m\n", + "\n", + "#Stress at this section\n", + "sigma=5*10**5*32*pi**-1*y*((b2+12.5*y)**3)**-1\n", + "\n", + "#Result\n", + "print\"Stress at Extreme Fibre is max\",round(y,2),\"m\"\n", + "print\"Max stress is\",round(sigma,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stress at Extreme Fibre is max 4.0 m\n", + "Max stress is 6.04 N/mm**2\n" + ] + } + ], + "prompt_number": 28 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.10,Page no.143" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "H=10 #mm #Height\n", + "A1=160*160 #mm**2 #area of square section at bottom\n", + "L1=160 #mm #Length of square section at bottom\n", + "b1=160 #mm #width of square section at bottom\n", + "A2=80*80 #mm**2 #area of square section at top\n", + "L2=80 #mm #Length of square section at top\n", + "b2=80 #mm #Width of square section at top\n", + "P=100 #N #Pull\n", + "\n", + "#Calculations\n", + "\n", + "#Consider a section at distance y from top.\n", + "#Let the side of square bar be 'a'\n", + "#a=L2+y*(H)**-1*(b1-b2)\n", + "#After further simplifying we get\n", + "#a=L2+8*y\n", + "\n", + "#Moment of Inertia\n", + "#I=2*1*12**-1*a*(2)**0.5*(a*((2)**0.5)**-1)**3\n", + "#After further simplifying we get\n", + "#I=a**4*12**-1\n", + "\n", + "#Section Modulus \n", + "#Z=a**4*(12*a*(2)**0.5)**-1\n", + "#After further simplifying we get\n", + "#Z=2**0.5*a**3*(12)**-1 #mm**3\n", + "\n", + "#Bending moment at this section=100*y N-mm\n", + "#M=100*10**3*y #N-mm\n", + "\n", + "#But\n", + "#M=sigma*Z\n", + "#After sub values in above equation we get\n", + "#sigma=M*Z**-1\n", + "#After further simplifying we get\n", + "#sigma=1200*10**3*(2**0.5)**-1*y*((80+80*y)**3)**-1 .......(1)\n", + "\n", + "#For Max stress df*(dy)**-1=0\n", + "#After taking Derivative of above equation we get\n", + "#df*(dy)**-1=1200*10**3*(2**0.5)**-1*((80+8*y)**-3+y(-3)*(80+8*y)**-4*8)\n", + "#After further simplifying we get\n", + "y=80*16**-1 #m\n", + "\n", + "#Max stress at this level is\n", + "sigma=1200*10**3*(2**0.5)**-1*y*((80+8*y)**3)**-1\n", + "\n", + "#Result\n", + "print\"Max Bending stress is Developed at\",round(y,3),\"m\"\n", + "print\"Value of Max Bending stress is\",round(sigma,3),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max Bending stress is Developed at 5.0 m\n", + "Value of Max Bending stress is 2.455 N/mm**2\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.12,Page no.147" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "b=200 #mm #Width of timber \n", + "d=400 #mm #Depth of timber\n", + "t=6 #mm #Thickness\n", + "b2=200 #mm #width of steel plate\n", + "t2=20 #mm #Thickness of steel plate\n", + "M=40*10**6 #KN-mm #Moment\n", + "#Let E_s*E_t**-1=X\n", + "X=20 #Ratio of Modulus of steel to timber\n", + "\n", + "#Calculations\n", + "\n", + "#let y_bar be the Distance of centroidfrom bottom most fibre\n", + "y_bar=(b*d*(b+t)+t2*b2*t*t*2**-1)*(b*d+t2*b2*t)**-1 #mm\n", + "\n", + "#Moment of Inertia\n", + "I=1*12**-1*b*d**3+b*d*(b+t-round(y_bar,3))**2+1*12**-1*t2*b2*t**3+b2*t2*t*(round(y_bar,3)-t*2**-1)**2\n", + "\n", + "#distance of the top fibre from N-A\n", + "y_1=d+t-y_bar #mm\n", + "\n", + "#Distance of the junction of timber and steel From N-A\n", + "y_2=y_bar-t #mm\n", + "\n", + "#Stress in Timber at the top\n", + "Y=M*I**-1*y_1 #N/mm**2\n", + "\n", + "#Stress in the Timber at the junction point\n", + "Z=M*I**-1*y_2\n", + "\n", + "#Coressponding stress in steel at the junction point\n", + "Z2=X*Z #N/mm**2 \n", + "\n", + "#The stress in Extreme steel fibre \n", + "Z3=X*M*I**-1*y_bar\n", + "\n", + "#Result\n", + "print\"Stress in Extreme steel Fibre\",round(Z3,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stress in Extreme steel Fibre 69.67 N/mm**2\n" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.13,Page no.149" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Timber size\n", + "b=150 #mm #Width\n", + "b2=120 #mm \n", + "d=300 #mm #Depth\n", + "\n", + "t=6 #mm #Thickness of steel plate\n", + "L=6 #m #Span\n", + "\n", + "#E_s*E_t**-1=20 \n", + "#X=E_s*E_t**-1\n", + "X=20 \n", + "sigma_timber=8 #N/mm**2 #Stress in timber\n", + "sigma_steel=150 #N/mm**2 #Stress in steel plate\n", + "\n", + "#Calculations\n", + "\n", + "Y\n", + "\n", + "#Due to synnetry cenroid,the neutral axis is half the depth\n", + "I=1*12**-1*\n", + "\n", + "\n", + "#Result\n", + "print Z" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "153.0\n" + ] + } + ], + "prompt_number": 34 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.14,Page no.151" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=6000 #mm #Span of beam\n", + "W=20*10**3 #N #Load\n", + "sigma=8 #N/mm**2 #Stress\n", + "b=200 #mm #Width of section\n", + "d=300 #mm #Depth of section\n", + "\n", + "#Calculations\n", + "\n", + "#let x be the distance from left side of beam\n", + "\n", + "#Bending moment\n", + "#M=W*2**-1*x #Nmm .......(1)\n", + "\n", + "#But M=sigma*Z ..........(2)\n", + "\n", + "#Equating equation 1 and 2 we get\n", + "#W*2**-1*x=sigma*Z ............(3)\n", + "\n", + "#Section Modulus \n", + "#Z=1*6*b*d**2 ...............(4)\n", + "\n", + "#Equating equation 3 and 4 we get\n", + "#b*d**2=3*W*x*sigma**-1 .............(5)\n", + "\n", + "#Beam of uniform strength of constant depth\n", + "#b=3*W*x*(sigma*d**2) \n", + "\n", + "#When x=0\n", + "b=0\n", + "\n", + "#When x=L*2**-1\n", + "b2=3*W*L*(2*sigma*d**2)**-1 #mm\n", + "\n", + "#Beam with constant width of 200 mm\n", + "\n", + "#We have\n", + "#d=(3*W*x*(sigma*d)**-1)**0.5\n", + "#thus depth varies as (x)**0.5\n", + "\n", + "#when x=0\n", + "d1=0\n", + "\n", + "#when x=L*2**-1\n", + "d2=(2*W*L*(2*sigma*300)**-1)**0.5 #mm\n", + "\n", + "#Result\n", + "print\"Cross section of rectangular beam is:\",round(b2,2),\"mm\"\n", + "print\" :\",round(d2,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Cross section of rectangular beam is: 250.0 mm\n", + " : 223.61 mm\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.15,Page no.154" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=800 #mm #Span\n", + "n=5 #number of leaves\n", + "b=60 #mm #Width\n", + "t=10 #mm #thickness\n", + "sigma=250 #N/mm**2 #Stress\n", + "\n", + "#Calculations\n", + "\n", + "#section Modulus\n", + "Z=n*6**-1*b*t**2 #mm**3\n", + "\n", + "#from the relation\n", + "#sigma*Z=M ...................(1)\n", + "#M=P*L*4**-1\n", + "#sub values of M in equation 1 we get\n", + "P=sigma*Z*4*L**-1*10**-3 #KN #Load\n", + "\n", + "#Length of Leaves\n", + "L1=0.2*L #mm\n", + "L2=0.4*L #mm\n", + "L3=0.6*L #mm\n", + "L4=0.8*L #mm\n", + "L5=L #mm\n", + "\n", + "#Result\n", + "print\"Max Load it can take is\",round(P,2),\"KN\"\n", + "print\"Length of leaves:L1\",round(L1,2),\"mm\"\n", + "print\" :L2\",round(L2,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max Load it can take is 6.25 KN\n", + "Length of leaves:L1 160.0 mm\n", + " :L2 320.0 mm\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.16,Page no.161" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "F=20*10**3 #N #Shear Force\n", + "\n", + "#Tee section\n", + "\n", + "#Flange\n", + "b=100 #mm #Width\n", + "t=12 #mm #Thickness\n", + "\n", + "#Web\n", + "d=88 #mm #Depth\n", + "t2=12 #mm #Thicknes\n", + "\n", + "D=100 #mm #Overall Depth\n", + "\n", + "#Calculations\n", + "\n", + "#Distance of C.G from Top Fibre\n", + "y=(b*t*t*2**-1+t2*d*(d*2**-1+t))*(b*t+d*t2)**-1 #mm \n", + "\n", + "#Moment Of Inertia\n", + "I=1*12**-1*b*t**3+b*t*(y-t*2**-1)**2+1*12**-1*t2*d**3+t2*d*(t+d*2**-1-y)**2 #mm**4\n", + "\n", + "#shear stress at bottom Flange\n", + "\n", + "#Area above this level\n", + "A=b*t #mm**2\n", + "\n", + "#C.G of this area from N-A\n", + "y2=y-t*2**-1\n", + "\n", + "#Stress at bottom of flange\n", + "sigma=F*A*y2*(b*I)**-1 #N/mm**2 \n", + "\n", + "#sigma2 at same level but in web where width is 12 mm\n", + "sigma2=F*A*y2*(t2*I)**-1 #N/mm**2 \n", + "\n", + "#To find shear stress at N-A\n", + "X=t*b*(y-t*2**-1)+t2*(y-t2)*(y-t2)*2**-1 #mm**3\n", + "\n", + "sigma3=F*X*(t2*I)**-1 #N/mm**2\n", + "\n", + "#Shear stress at top and bottom fibre is zero\n", + "#sigma4 and sigma5 are top and bottom fibre shear stress\n", + "sigma4=sigma5=0\n", + "\n", + "#Result\n", + "print \"The Shear Force and Bending Moment Diagrams are the results\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,t,t,y,D]\n", + "Y1=[sigma4,sigma,sigma2,sigma3,sigma5]\n", + "Z1=[0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in m\")\n", + "plt.ylabel(\"Shear Force in kN\")\n", + "plt.show()\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force and Bending Moment Diagrams are the results\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.17,Page no.163" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "F=40*10**3 #N #shear Force\n", + "\n", + "#I-section\n", + "\n", + "#Flanges\n", + "b=80 #mm #Width of flange\n", + "t=20 #mm #Thickness\n", + "\n", + "#Web\n", + "d=200 #mm #Depth\n", + "t2=20 #mm #Thickness\n", + "\n", + "#Flange-2\n", + "b2=160 #mm #Width\n", + "t3=20 #mm #Thickness\n", + "\n", + "D=240 #mm #Overall Depth\n", + "\n", + "#Calculations\n", + "\n", + "#Distance of N-A from Top Fibre \n", + "y=(b*t*t*2**-1+d*t2*(t+d*2**-1)+b2*t3*(t+d+t3*2**-1))*(b*t+d*t2+b2*t3)**-1 #mm\n", + "\n", + "#Moment of Inertia\n", + "I=1*12**-1*b*t**3+b*t*(y-(t*2**-1))**2+1*12**-1*t2*d**3+t2*d*(y-(t+d*2**-1))**2+1*12**-1*b2*t3**3+t3*b2*((d+t+t3*2**-1)-y)**2 #mm**4\n", + "\n", + "#Shear stress bottom of flange\n", + "sigma=F*b*t*(y-t*2**-1)*(b*I)**-1 #N/mm**2\n", + "\n", + "#At same Level but in web\n", + "sigma2=F*b*t*(y-t*2**-1)*(t2*I)**-1 #N/mm**2\n", + "\n", + "#for shear stress at N.A\n", + "X=b*t*(y-t*2**-1)+t2*(y-t)*(y-t)*2**-1 #mm**3\n", + "sigma3=F*X*(t2*I)**-1 #N/mm**2\n", + "\n", + "#Shear stress at bottom of web\n", + "\n", + "X=b2*t3*((D-y)-t3*2**-1) #mm**3\n", + "\n", + "#Stress at bottom of web\n", + "sigma4=F*X*(t2*I)**-1 #N/mm**2\n", + "\n", + "#Stress at Lower flange\n", + "sigma5=F*X*(b2*I)**-1 #N/mm**2\n", + "\n", + "#Result\n", + "print \"The Shear Force Diagram is the result\"\n", + "\n", + "#Plotting the Shear Force Diagram\n", + "\n", + "X1=[0,20,20,140,220,220,240]\n", + "Y1=[0,sigma,sigma2,sigma3,sigma4,sigma5,0]\n", + "Z1=[0,0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length in mm\")\n", + "plt.ylabel(\"Shear Force in N\")\n", + "plt.show()\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Shear Force Diagram is the result\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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2vPfee7Ro0cKdZYiIyEXcPmq/YsWKLFy4kD59+pCXl8e4ceMUBCIiNvPIGcgi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\n/w/qZz1xEBCKMwAAAABJRU5ErkJggg==\n", + "text": [ + "" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.18,Page no.164" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "F=30*10**3 #N #Shear Force\n", + "\n", + "#Channel Section\n", + "d=400 #mm #Depth of web \n", + "t=10 #mm #THickness of web\n", + "t2=15 #mm #Thickness of flange\n", + "b=100 #mm #Width of flange\n", + "\n", + "#Rectangular Welded section\n", + "b2=80 #mm #Width\n", + "d2=60 #mm #Depth\n", + "\n", + "#Calculations\n", + "\n", + "#Distance of Centroid From Top Fibre\n", + "y=(d*t*t*2**-1+2*t2*(b-t)*((b-t)*2**-1+10)+d2*b2*(d2*2**-1+t))*(d*t+2*t2*(b-t)+d2*b2)**-1 #mm\n", + "\n", + "#Moment Of Inertia of the section about N-A\n", + "I=1*12**-1*d*t**3+d*t*(y-t*2**-1)**2+2*(1*12**-1*t2*(b-t)**3+t2*(b-t)*(((b-t)*2**-1+t)-y)**2)+1*12**-1*d2**3*b2+d2*b2*(d2*2**-1+t-y)**2\n", + "\n", + "#Shear stress at level of weld\n", + "sigma=F*d*t*(y-t*2**-1)*((b2+t2+t2)*I)**-1 #N/mm**2\n", + "\n", + "#Max Shear Stress occurs at Neutral Axis\n", + "X=d*t*(y-t*2**-1)+2*t2*(y-t)*(y-t)*2**-1+b2*(y-t)*(y-t)*2**-1\n", + "\n", + "sigma_max=F*X*((b+t)*I)**-1\n", + "\n", + "#Result\n", + "print\"Shear stress in the weld is\",round(sigma,2),\"N/mm**2\"\n", + "print\"Max shear stress is\",round(sigma_max,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Shear stress in the weld is 3.62 N/mm**2\n", + "Max shear stress is 4.48 N/mm**2\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.19,Page no.165" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Wooden Section\n", + "b=300 #mm #Width\n", + "d=300 #mm #Depth\n", + "\n", + "D=100 #mm #Diameter of Bore\n", + "F=10*10**3 #N #Shear Force\n", + "\n", + "#Calculations\n", + "\n", + "#Moment Of Inertia Of Section\n", + "I=1*12**-1*b*d**3-pi*64**-1*D**4\n", + "\n", + "#Shear stress at crown of circle\n", + "sigma=F*b*D*(d*2**-1-D*2**-1)*(b*I)**-1\n", + "\n", + "#Let a*y_bar=X\n", + "X=b*d*2**-1*d*4**-1-pi*8**-1*D**2*4*D*2**-1*(3*pi)**-1 #mm**3\n", + "\n", + "#Shear Stress at Neutral Axis\n", + "sigma2=F*X*((b-D)*I)**-1 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Shearing Stress at Crown of Bore\",round(sigma,3),\"N/mm**2\"\n", + "print\"Shear Stress at Neutral Axis\",round(sigma2,3),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Shearing Stress at Crown of Bore 0.149 N/mm**2\n", + "Shear Stress at Neutral Axis 0.246 N/mm**2\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.20,Page no.166" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#flanges\n", + "b=200 #mm #width\n", + "t1=25 #mm #Thickness\n", + "\n", + "#web\n", + "d=450 #mm #Depth \n", + "t2=20 #mm #thickness\n", + "\n", + "D=500 #mm #Total Depth of section\n", + "\n", + "#Calculations\n", + "\n", + "#Moment Of Inertia of the section about N-A\n", + "I=1*12**-1*b*D**3-1*12**-1*(b-t2)*d**3 #mm**4\n", + "\n", + "#Consider an element in the web at distance y from y from N-A\n", + "#Depth of web section=225-y\n", + "\n", + "#C.G From N-A\n", + "#y2=y+(((D*2**-1-t)-y)*2**-1)\n", + "\n", + "#ay_bar for section at y\n", + "#Let ay_bar be X\n", + "#X=X1 be of Flange + X2 be of web above y\n", + "#X=b*t1*(D*2**-1-t1*2**-1)+t2*(d-t1)*(d-t1+y)*2**-1\n", + "#After Sub values and Further simplifying we get\n", + "#X=1187500+10*(225**2-y**2)\n", + "\n", + "#Shear stress at y\n", + "#sigma_y=F*(X)*(t2*I)**-1\n", + "\n", + "#Shear Force resisted by the Element\n", + "#F1=F*X*t2*dy*(t2*I)**-1\n", + "\n", + "#Shear stress resisted by web \n", + "#sigma=2*F*I**-1*(X)*dy\n", + "\n", + "#After Integrating above equation and further simplifying we get\n", + "#sigma=0.9578*F\n", + "\n", + "sigma=0.9578*100\n", + "\n", + "#Result\n", + "print\"Shear Resisted by web\",round(sigma,2),\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Shear Resisted by web 95.78 %\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.21,Page no.167" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Wooden Beam\n", + "\n", + "b=150 #mm #width\n", + "d=250 #mm #Depth\n", + "\n", + "L=5000 #mm #span\n", + "m=11.2 #N/mm**2 #Max Bending stress\n", + "sigma=0.7 #N/mm**2 #Max shear stress\n", + "\n", + "#Calculations\n", + "\n", + "#Let 'a' be the distance from left support\n", + "#Max shear force\n", + "#F=R_A=W*(L-a)*L**-1 \n", + "\n", + "#Max Moment\n", + "#M=W*(L-a)*a*L**-1\n", + "\n", + "#But M=sigma*Z\n", + "#W*(L-a)*a*L**-1=m*1*6**-1*b*d**2 .....................(1)\n", + "\n", + "#In Rectangular Section MAx stress is 1.5 times Avg shear stress\n", + "F=sigma*b*d*1.5**-1\n", + "\n", + "#W*(L-a)*L**-1=F .....................(2)\n", + "\n", + "#Dividing Equation 1 nad 2 we get\n", + "a=m*6**-1*b*d**2*1.5*(sigma*b*d)**-1\n", + "\n", + "#Sub above value in equation 2 we get\n", + "W=(L-a)**-1*L*F*10**-3 #KN \n", + "\n", + "#Result\n", + "print\"Load is\",round(W,2),\"KN\"\n", + "print\"Distance from Left support is\",round(a,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Load is 21.87 KN\n", + "Distance from Left support is 1000.0 mm\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.22,Page no.168" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=1000 #mm #span\n", + "\n", + "#Rectangular Section\n", + "\n", + "b=200 #mm #width\n", + "d=400 #mm #depth\n", + "\n", + "sigma=1.5 #N/mm**2 #Shear stress\n", + "\n", + "#Calculations\n", + "\n", + "#Let AB be the cantilever beam subjected to load W KN at free end\n", + "\n", + "#MAx shear Force\n", + "#F=W*10**3 #KN\n", + "\n", + "#Since Max shear stress in Rectangular section\n", + "#sigma_max=1.5*F*A**-1 \n", + "#After sub values and further simplifyng we get\n", + "W=1.5*b*d*(1.5*1000)**-1 #KN\n", + "\n", + "#Moment at fixwed end\n", + "M=W*1 #KN-m\n", + "y_max=d*2**-1 #mm\n", + "\n", + "#M.I\n", + "I=1*12**-1*b*d**3 #mm**3\n", + "\n", + "#MAx Stress\n", + "sigma_max=M*10**6*I**-1*y_max\n", + "\n", + "#Result\n", + "print\"Concentrated Load is\",round(sigma_max,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Concentrated Load is 15.0 N/mm**2\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4.24,Page no.170" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=4000 #mm #span\n", + "\n", + "#Rectangular Cross-section\n", + "b=100 #mm #Width\n", + "d=200 #mm #Thickness\n", + "\n", + "F_per=10 #N/mm**2 #Max Bending stress\n", + "q_max=0.6 #N/mm**2 #Shear stress\n", + "\n", + "#Calculations\n", + "\n", + "#If the Load W is in KN/m\n", + "\n", + "#Max shear Force\n", + "#F=w*l*2**-1 #KN\n", + "#After substituting values and further simplifying we get\n", + "#M=2*w #KN-m\n", + "\n", + "#Max Load from Consideration of moment\n", + "#M=1*6**-1*b*d**2*F_per\n", + "#After substituting values and further simplifying we get\n", + "w=(1*6**-1*b*d**2*F_per)*(2*10**6)**-1 #KN/m\n", + "\n", + "#Max Load from Consideration of shear stress\n", + "#q_max=1.5*F*(b*d)**-1 #N\n", + "#After substituting values and further simplifying we get\n", + "F=q_max*(1.5)*b*d #N\n", + "\n", + "#If w is Max Load in KN/m,then\n", + "#2*w*1000=8000\n", + "#After Rearranging and Further simplifying we get\n", + "w2=8000*(2*1000)**-1 #KN/m\n", + "\n", + "#Result\n", + "print\"Uniformly Distributed Load Beam can carry is\",round(w,2),\"KN/m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Uniformly Distributed Load Beam can carry is 3.33 KN/m\n" + ] + } + ], + "prompt_number": 8 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_1.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_1.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_5.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_5.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_6.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_6.ipynb new file mode 100644 index 00000000..8a54f301 --- /dev/null +++ b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.5_6.ipynb @@ -0,0 +1,1013 @@ +{ + "metadata": { + "name": "chapter no.5.ipynb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 5:Deflections Of Beams By Double Integration Methods" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.2,Page No.192" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=3000 #mm #span of beam\n", + "a=2000 #mm\n", + "W1=20*10**3 #N #Pt Load Acting on beam\n", + "W2=30*10**3 #N #Pt Load Acting on beam\n", + "E=2*10**5 #N/mm**2 #Young's Modulus\n", + "I=2*10**8 #mm**4 #M.I\n", + "\n", + "#Calculations\n", + "\n", + "#Deflection at free End Due to W2\n", + "dell1=W2*L**3*(3*E*I)**-1 #mm\n", + "\n", + "#Deflection at free end Due to W1\n", + "dell2=W1*a**3*(3*E*I)**-1+(L-a)*W1*a**2*(2*E*I)**-1 #mm\n", + "\n", + "#Total Deflection at free end\n", + "dell=dell1+dell2 #mm\n", + "\n", + "#Result\n", + "print\"Deflection at Free End is\",round(dell,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Deflection at Free End is 9.08 mm\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.4,Page No.193" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "E=2*10**5 #N/mm**2 #Young's Modulus\n", + "I=180*10**6 #mm**4 #M.I\n", + "W1=20 #N/m #u.d.l\n", + "W2=20*10**3 #N #Pt load\n", + "L=3000 #m #Span of beam\n", + "a=2000 #m #Span of u.d.l\n", + "\n", + "#Calculations\n", + "\n", + "#Displacement of free End due to 20 KN Pt load at free end\n", + "dell1=W2*L**3*(3*E*I)**-1 #mm\n", + "\n", + "#Displacement of free end due to u.d.l\n", + "dell2=W1*a**4*(8*E*I)**-1+(L-a)*W1*a**3*(6*E*I)**-1\n", + "\n", + "#Deflection at free end\n", + "dell=dell1+dell2 #mm\n", + "\n", + "#Result\n", + "print\"The Displacement of Free End of cantilever beam is\",round(dell,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Displacement of Free End of cantilever beam is 6.85 mm\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.10,Page No.201" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "E=200*10**6 #KN/m**2 #Young's Modulus\n", + "I=15*10**-6 #m**4 #M.I\n", + "a=4000 #m \n", + "L_AB=6 #m #Span of beam\n", + "L_CB=2 #m #Length of CB\n", + "F_C=18 #KN #force at C\n", + "\n", + "#Calculations\n", + "\n", + "#Let V_A & V_B be the Reactions at A & B Respectively\n", + "#V_A+V_B=18\n", + "#Now taking moment at B,we get M_B\n", + "V_A=(F_C*L_CB)*L_AB**-1\n", + "V_B=18-V_A\n", + "\n", + "#Now Taking Moment at distance x\n", + "#M_x=6*x-18*(x-4)\n", + "#EI*d**2*y*(d*x**2)**-1=6*x-18*(x-4)\n", + "\n", + "#Now Integrating above equation,we get\n", + "#EI*dy*(dx)**-1=C1+3*x**2-9(x-4)**4\n", + "\n", + "#Again Integrating above equation we get\n", + "#EI*y=C2+C1*x+x**3-3*(x-4)**3\n", + "\n", + "#The Boundary conditions\n", + "x=0\n", + "y=0 #.....(a)\n", + "\n", + "x=6\n", + "y=0 #....(b)\n", + "\n", + "#From Boundary Condition(B.C) a we get\n", + "C2=0\n", + "\n", + "#From Boundary Condition(B.C) b we get\n", + "#6*C1+216-3*8\n", + "#After Further simplifying we get\n", + "C1=-(216-24)*6**-1\n", + "\n", + "#EI*y=-32*x+x**3-3*(x-4)**3\n", + "#EI*dy*(dx)**-1=-32+3*x**2-9(x-4)**4\n", + "\n", + "#For Max Deflection\n", + "#Assume it inthe Porion AC i.e x=4=a\n", + "#0=-32+3*x**2\n", + "x=(32*3**-1)**0.5\n", + "\n", + "#Value of Max deflection is\n", + "ymax=(-32*x+x**3)*(E*I)**-1 #mm\n", + "\n", + "#slope at mid-span\n", + "\n", + "#EI*(dy*(dx)**-1)_centre=-32+3*x**2\n", + "#at centre ,\n", + "x1=3 #m\n", + "\n", + "#Let (dy*(dx)**-1)_centre=X\n", + "X=-(-32+3*x1**2)*(E*I)**-1 #Radian\n", + "\n", + "#Deflection at Load Point\n", + "x2=4 #m\n", + "#EI*y_c=-32*x2+x2**3\n", + "\n", + "y_c=-(-32*x2+x2**3)*(E*I)**-1\n", + "\n", + "\n", + "#Result\n", + "print\"Value of Max Deflection\",round(ymax,4),\"mm\"\n", + "print\"SLope at mid-span\",round(X,4),\"radian\"\n", + "print\"Deflection at the Load Point is\",round(y_c,4),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Value of Max Deflection -0.0232 mm\n", + "SLope at mid-span 0.0017 radian\n", + "Deflection at the Load Point is 0.0213 mm\n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.11,Page No.203" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_CB=2 #m #Length of CB\n", + "L_AC=4 #m #Length of AB\n", + "M_C=15 #KN.m #Moment At Pt C\n", + "F_C=30 #KN\n", + "L=6 #m Span of Beam\n", + "\n", + "#Let X=E*I\n", + "X=10000 #KN-m**2\n", + "\n", + "#Calculations\n", + "\n", + "#Let V_A and V_B be the reactions at A & B respectively\n", + "#V_A+V_B=30\n", + "\n", + "#Taking Moment a A,we get\n", + "V_B=(F_C*L_AC+M_C)*L**-1\n", + "V_A=30-V_B\n", + "\n", + "#Now Taking Moment at distacnce x from A\n", + "#M_x=7.5*x-30*(x-4)+15\n", + "\n", + "#By using Macaulay's Method\n", + "#EI*(d**2*x/dx**2)=M_x=7.5*x-30*(x-4)+15\n", + "\n", + "#Now Integrating above Equation we get\n", + "#EI*(dy/dx)=C1+7.5*x**2*2**-1-15*(x-4)**2+15*(x-4) ............(1)\n", + "\n", + "#Again Integrating above Equation we get\n", + "#EIy=C2+C1*x+7.5*6**-1*x**3-5*(x-4)**3+15*(x-4)**2*2**-1..........(2)\n", + "\n", + "#Boundary Cinditions\n", + "x=0\n", + "y=0\n", + "\n", + "#Substituting above equations we get \n", + "C2=0\n", + "\n", + "x=6 #m\n", + "y=0\n", + "\n", + "C1=-(7.5*6**3*6**-1-5*2**3+15*2**2*2**-1)*6**-1\n", + "\n", + "#EIy_c=C2+C1*x+7.5*6**-1*x**3-5*(x-4)**3+15*(x-4)**2*2**-1\n", + "#Sub values in Above equation we get\n", + "y_c=(93.3333*(X)**-1)\n", + "\n", + "#Result\n", + "print\"The Deflection at C\",round(y_c,4),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Deflection at C 0.0093 mm\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.12,Page No.204" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_AC=L_CD=L_DB=2 #m #Length of AC,CD,DB\n", + "F_C=40 #KN #Force at C\n", + "w=20 #KN/m #u.d.l\n", + "L=6 #m #span of beam\n", + "\n", + "#Let E*I=X\n", + "X=15000 #KN-m**2\n", + "\n", + "\n", + "#Calculations\n", + "\n", + "#Let V_A & V_B be the reactions at A & B respectively\n", + "#V_A+V_B=80\n", + "\n", + "#Taking Moment B,M_B\n", + "V_A=(F_C*(L_CD+L_DB)+w*L_DB*L_DB*2**-1)*L**-1 #KN\n", + "V_B=80-V_A #KN\n", + "\n", + "#Taking Moment at distance x from A\n", + "#M_x=33.333*x-40*(x-2)-20*(x-4)**2*2**-1\n", + "#EI*(d**2/dx**2)=33.333*x-40*(x-2)-10*(x-4)**2\n", + "\n", + "#Integrating above equation we get\n", + "#EI*(dy/dx)=C1+33.333*x**2*2**-1-20*(x-2)**2-10*3**-1*(x-4)**3\n", + "\n", + "#Again Integrating above equation we get\n", + "#EI*y=C2+C1*x+33.333*x**3*6**-1-20*3**-1*(x-2)**3-10*12**-1*(x-4)**4\n", + "\n", + "#At\n", + "x=0\n", + "y=0\n", + "C2=0\n", + "\n", + "#At\n", + "x=6\n", + "y=0\n", + "C1=-760*6**-1\n", + "\n", + "#Assuming Deflection to be max in portion CD and sustituting value of C1 in equation of slope we get\n", + "#EI*y=C2+C1*x+33.333*x**3*6**-1-20*3**-1*(x-2)**3-10*12**-1*(x-4)**4\n", + "#0=-126.667+33.333*x**2**-1-20*(x-2)**2\n", + "\n", + "#After rearranging and simplifying further we get\n", + "\n", + "#x**2-24*x+62=0\n", + "#From above equations\n", + "a=1\n", + "b=-24\n", + "c=62\n", + "\n", + "y=(b**2-4*a*c)**0.5\n", + "\n", + "x1=(-b+y)*(2*a)**-1\n", + "x2=(-b-y)*(2*a)**-1\n", + "\n", + "#Taking x2 into account\n", + "x=2.945 #m\n", + "C1=-126.667\n", + "C2=0\n", + "\n", + "y_max=(C2+C1*x+33.333*x**3*6**-1-20*3**-1*(x-2)**3)*X**-1 #mm\n", + "\n", + "#Max slope occurs at the ends\n", + "#At A,\n", + "#EI*(dy/dx)_A=-126.667\n", + "#At B\n", + "#EI*(dy/dx)_B=126.667+33.333*6**2*2**-1-20*4**2-10*2**3\n", + "#After simplifying Further we get\n", + "#EI*(dy/dx)_B=73.3273\n", + "\n", + "#Now Max slope is EI(dy/dx)_A=-126.667\n", + "#15000*(dy/dx)_=-126.667\n", + "\n", + "#Let Y=dy/dx\n", + "Y=-126.667*X**-1 #Radians\n", + "\n", + "#Result\n", + "print\"Maximum Deflection for Beam is\",round(y_max,4),\"mm\"\n", + "print\"Maximum Slope for beam is\",round(Y,4),\"radians\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Maximum Deflection for Beam is -0.0158 mm\n", + "Maximum Slope for beam is -0.0084 radians\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.13,Page No.206" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "E=2*10**8 #KN/m**2\n", + "I=450*10**-6 #m**4\n", + "L_AC=1 #m #Length of AC\n", + "L_CD=3 #m #Length of CD\n", + "L_DB=2 #m #Length of DB\n", + "w=10 #KN/m #u.d.l\n", + "\n", + "#Calculations\n", + "\n", + "#Let V_A & V_B be the reactions at A & B respectively\n", + "#V_A+V_B=30\n", + "\n", + "#Taking Moment at distance x from A\n", + "#M_x=17.5*x-10*(x-1)**2*2**-1+10*(x-4)**2*2**-1\n", + "#EI*(d**2/dx**2)=17.5*x-10*(x-1)**2*2**-1+10*(x-4)**2*2**-1\n", + "\n", + "#Now Integrating Above equation we get\n", + "#EI(dy/dx)=C1+17.5*x**2*2**-1-5*3**-1*(x-1)**2+5*3**-1*(x-4)**3\n", + "\n", + "#Again Integrating Above equation we get\n", + "#EI*y=C2+C1*x+17.5*x**3*6**-1-5*12**-1*(x-1)**4+5*12**-1*(x-4)**4\n", + "\n", + "#At \n", + "x=0\n", + "y=0\n", + "C2=0\n", + "\n", + "#At \n", + "x=6 \n", + "y=0\n", + "C1=(-17.5*x**3*6**-1+5*12**-1*(x-1)**4-5*12**-1*(x-4)**4)*x**-1\n", + "\n", + "# 1)Slope at A .i.e at x=0\n", + "#EI*(dy/dx)_A=C1=-62.708 #KN-m**2\n", + "#let (dy/dx)=X\n", + "X=C1*(E*I)**-1 #radiams\n", + "\n", + "#Deflection at mid-span\n", + "x=3 #m\n", + "#EI*y_centre=C1*x+17.5*x**3*6**-1-5*12**-1*(x-1)**2\n", + "y_centre=-(C1*x+17.5*x**3*6**-1-5*12**-1*(x-1)**4)*(E*I)**-1\n", + "\n", + "#Maximum Deflection\n", + "\n", + "#At point of Max deflection (dy/dx)=0\n", + "#Assuming it in portion CD\n", + "\n", + "#0=C1*x+17.5*x**2*2**-1-5*3**-1*(x-1)**3\n", + "\n", + "#Now Let\n", + "#F(x)=C1+17.5*x**2*2**-1-5*3**-1*(x-1)**3\n", + "\n", + "#Let F(x)=Y\n", + "#At \n", + "x=2.5\n", + "Y1=-(C1+17.5*x**2*2**-1-5*3**-1*(x-1)**3)\n", + "\n", + "#AT\n", + "x=3\n", + "Y2=-(C1+17.5*x**2*2**-1-5*3**-1*(x-1)**3)\n", + "\n", + "#At\n", + "x=2.9 #m\n", + "Y3=-(C1+17.5*x**2*2**-1-5*3**-1*(x-1)**3)\n", + "\n", + "#A curve may be plotted for (F(x) and the value for which F(x)=0 may be found\n", + "#For F(x)=0 for x=2.92 m\n", + "#Therefore y_max occur at x=2.92\n", + "\n", + "x=2.92 #m\n", + "y_max=(C1*x+17.5*x**3*6**-1-5*12**-1*(x-1)**4)*(E*I)**-1\n", + "\n", + "#Result\n", + "print\"Slope at A\",round(X,6),\"mm\"\n", + "print\"Deflection at mid-span\",round(y_centre,6),\"mm\"\n", + "print\"Maxmimum Deflection is\",round(y_max,5),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Slope at A -0.000697 mm\n", + "Deflection at mid-span 0.001289 mm\n", + "Maxmimum Deflection is -0.00129 mm\n" + ] + } + ], + "prompt_number": 32 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.14,Page No.208" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_AC=LDE=L_EB=1 #m #Length of AC\n", + "L_CD=2 #m #Length of CD\n", + "E=200 #KN/mm**2\n", + "I=60*10**6 #mm**4 #M.I\n", + "F_C=20 #KN #Force at C\n", + "F_E=30 #KN #Force at E\n", + "w=10 #KN/m #u.d.l\n", + "\n", + "#Calculations\n", + "\n", + "X=E*I*10**-6 #KN-m**2\n", + "\n", + "#Let V_A & V_B be the reactions at A & B respectively\n", + "#V_A+V_B=70\n", + "\n", + "#Taking Moment at distance x from A\n", + "#M_x=34*x-20*(x-1)-10*(x-1)**2*2**-1+10*(x-3)**2*2**-1-30*(x-4)\n", + "#EI*(d**2y/dx**2)=34*x-20*(x-1)-10*(x-1)**2*2**-1+10*(x-3)**2*2**-1-30*(x-4)\n", + "\n", + "#Now Integrating Above equation,we get\n", + "#EI*(dy/dx)=C1+17*x**2-10*(x-1)**2-5*3**-1*(x-1)**3+5*3**-1*(x-3)**3-15*(x-4)**2\n", + "\n", + "#Again Integrating Above equation,we get\n", + "#EI*y=C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4+5*12**-1*(x-3)**4-5*(x-4)**3\n", + "\n", + "#At\n", + "x=0\n", + "y=0\n", + "C2=0\n", + "\n", + "#At \n", + "x=5 #m\n", + "y=0\n", + "C1=(-17*3**-1*x**3+10*3**-1*(x-1)**3+5*12**-1*(x-1)**4-5*12**-1*(x-3)**4+5*(x-4)**3)*5**-1\n", + "\n", + "#EI*y=C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4+5*12**-1*(x-3)**4-5*(x-4)**3\n", + "C2=0\n", + "C1=-78\n", + "x=1\n", + "y_c=(-78*x+17*3**-1*x)*(X)**-1\n", + "\n", + "#EI*y_D=C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4\n", + "x=3\n", + "C1-78\n", + "C2=0\n", + "y_D=(C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4)*(X**-1)\n", + "\n", + "#EI*y_E=C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4+5*12**-1*(x-3)**4\n", + "x=4\n", + "C1-78\n", + "C2=0\n", + "y_E=(C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4+5*12**-1*(x-3)**4)*X**-1\n", + "\n", + "#Result\n", + "print\"Deflections at C\",round(y_c,5),\"mm\"\n", + "print\"Deflections at D\",round(y_D,5),\"mm\"\n", + "print\"Deflections at E\",round(y_E,4),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Deflections at C -0.00603 mm\n", + "Deflections at D -0.00953 mm\n", + "Deflections at E -0.0061 mm\n" + ] + } + ], + "prompt_number": 45 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.15,Page No.209" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "E=200 #KN/mm**2 #Modulus of Elasticity\n", + "I=300*10**6 #mm\n", + "L_AB=L_BC=L_CD=L_DE=1 #m #Length of AB,BC,CD,DE respectively\n", + "F_A=20 #KN #Force at A\n", + "F_C=10 #KN #Force at C\n", + "w=30 #KN/m #u.d.l\n", + "\n", + "#Let E*I=X\n", + "X=E*I*10**-6 #KN-2**2\n", + "\n", + "#Calculations\n", + "\n", + "#Let V_E be the reactions at E\n", + "V_E=F_A+F_C+w*(L_BC+L_CD) #KN \n", + "\n", + "#Taking Moment at distance x\n", + "#EI*(d**2x/dy**2)=M=-20*x-30*(x-1)**2*2**-1-10*(x-2)+30*(x-3)**2*2**-1\n", + "\n", + "#Integrating above equation we get\n", + "#EI*(dy/dx)=C1-10*x**2-5*(x-1)**3-5*(x-2)**2+5*(x-3)**3\n", + "\n", + "#Again Integrating above equation\n", + "#EI*y=C2+C1*x-10*x**3*3**-1-5*(x-1)**4*4**-1-5*(x-3)**4*4**-1-5*3*(x-2)**3\n", + "\n", + "#At\n", + "#dy/dx=0\n", + "x=4 #m\n", + "C1=10*x**2+5*(x-1)**3+5*(x-2)**2-5*(x-3)**3\n", + "\n", + "#AT\n", + "x=4\n", + "y=0\n", + "C2=-C1*4+10*x**3*3**-1+5*(x-1)**4*4**-1-5*(x-3)**4*4**-1+5*3**-1*(x-2)**3\n", + "\n", + "#Max Deflection and Max slopes occurs at Free end in case of cantilever\n", + "y_max=y_A=C2*X**-1\n", + "\n", + "#EI*(dy/dx)_max=C1\n", + "#Let (dy/dx)=Y\n", + "Y=C1*X**-1 #radian\n", + "\n", + "#Now deflection at x=1 #m\n", + "C2=-913.333\n", + "C1=310\n", + "x=1\n", + "y_B=(C2+C1*x-10*x**3*3**-1)*X**-1\n", + "\n", + "#Now Deflection at x=2 #m\n", + "C2=-913.333\n", + "C1=310\n", + "x=2 #m\n", + "y_C=(C2+C1*x-10*x**3*3**-1-5*(x-1)**4*4**-1)*X**-1\n", + "\n", + "#Now Deflection at x=3 #m\n", + "C2=-913.333\n", + "C1=310\n", + "x=3 #m\n", + "y_D=(C2+C1*x-10*x**3*3**-1-5*(x-1)**4*4**-1-5*3**-1*(x-2)**3)*X**-1\n", + "\n", + "y_E=0\n", + "\n", + "#Result\n", + "print\"Max Deflection for Beam\",round(y_A,4),\"mm\"\n", + "print\"Max Slope for beam\",round(Y,5),\"radians\"\n", + "\n", + "#Plotting the ELastic Curve\n", + "\n", + "Y2=[y_E,y_D,y_C,y_B,y_A]\n", + "X2=[L_AB+L_BC+L_CD+L_DE,L_AB+L_BC+L_CD,L_AB+L_BC,L_AB,0]\n", + "Z2=[0,0,0,0,0]\n", + "plt.plot(X2,Y2,X2,Z2)\n", + "plt.xlabel(\"Length in mm\")\n", + "plt.ylabel(\"Deflection in mm\")\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max Deflection for Beam -0.0152 mm\n", + "Max Slope for beam 0.00517 radians\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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8yjGZmZkkJSWRmZlJSkoKM2bMoLKy8pxilcZbsQJGj4Y//QkWL1aSEWnvaq3R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\nNIjibF6Ks3kpTutZkmiSk5O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+ "text": [ + "" + ] + } + ], + "prompt_number": 43 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.16,Page No.211" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_BD=L_CB=L_AC=2 #m #Length of BD,CB,AC\n", + "F_C=40 #KN #Force at C\n", + "F_D=10 #KN Force at D\n", + "L=6 #m spna of beam\n", + "\n", + "#EI is constant in this problem\n", + "\n", + "#Calculations\n", + "\n", + "#Let V_A & V_B be the reactions at A & B Respectively\n", + "#V_A+V_B=50\n", + "\n", + "#Taking Moment at Pt A\n", + "V_B=(F_D*L+F_C*L_AC)*(L_AC+L_CB)**-1\n", + "V_A=50-V_B\n", + "\n", + "#Now Taking Moment at distance x from A,M_x\n", + "#M_x=15*x-40*(x-2)+35*(x-4)\n", + "#EI*(d**2*y/dx**2)=15*x-40*(x-2)+35*(x-4)\n", + "\n", + "#Now Integrating above equation we get\n", + "#EI*(dy/dx)=C1+7.5*x**2-20*(x-2)**2+17.5(x-4)**2\n", + "\n", + "#Again Integrating above equation we get\n", + "#EI*y=C2+C1*x+2.5*x**2-20*3**-1*(x-2)**3+17.5*(x-4)**3*3**-1\n", + "\n", + "#At\n", + "x=0\n", + "y=0\n", + "#we get\n", + "C2=0\n", + "\n", + "#At\n", + "x=4 \n", + "y=0\n", + "#we get\n", + "C1=(2.5*4**3-20*3**-1*2**3)*4**-1\n", + "\n", + "#Now Deflection at C\n", + "x=2\n", + "C1=-26.667\n", + "C2=0\n", + "y_C=C2+C1*x+2.5*x**3\n", + "\n", + "#Now Deflection at D\n", + "C1=-21.667\n", + "C2=0\n", + "y_D=-26.667*6+2.5*6**3-20*3**-1*4**3+17.5*2**3*3**-1\n", + "\n", + "#Result\n", + "print\"Deflections Under Loads are:y_D\",round(y_D,4)\n", + "print\" :y_C\",round(y_C,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Deflections Under Loads are:y_D -0.002\n", + " :y_C -33.33\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.17,Page No.212" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_BC=L_EB=2 #m #Length of BC & EB\n", + "E=200*10**6 #KN/m**2 #Modulus of eLasticity\n", + "I=45*10**-6 #mm**4 #M.I\n", + "L_DE=3 #m #Length of DE\n", + "L_AD=1 #m #Length of AD\n", + "w=20 #KN/m #u.d.l\n", + "L=8 #m #span of beam\n", + "F_C=30 #KN #Force at C\n", + "\n", + "#Calculations\n", + "\n", + "#Let V_A & V_B be the reactions at A & B respectively\n", + "#V_A+V_B=90\n", + "\n", + "#Taking Moment at A,M_A\n", + "V_B=(w*L_DE*(L_DE*2**-1+L_AD)+F_C*L)*(L_AD+L_DE+L_EB)**-1\n", + "V_A=90-V_B\n", + "\n", + "#Taking Moment at distance x\n", + "#M_x=25*x-20*(x-1)**2*2**-1+20*(x-4)**2*2**-1+65*(x-6)\n", + "\n", + "#Integrating above equation we get\n", + "#EI*(d**2*y/dx**2)=25*x-10*(x-1)**2+10*(x-4)**2+65*(x-6)\n", + "\n", + "#again Integrating above equation we get\n", + "#EI*(dy/dx)=C1+25*x**2*2**-1-10*3**-1*(x-1)**3+10*3**-1*(x-4)**2+65*2**-1*(x-6)**2\n", + "\n", + "#again Integrating above equation we get\n", + "#EI*y=C2+C1*x+25*6**-1*x**3-10*12**-1*(x-1)**4+10*12**-1*(x-4)**4+65*6**-1*(x-6)**3\n", + "\n", + "x=0\n", + "y=0\n", + "#Sub these values in above equation,we get\n", + "C2=0\n", + "\n", + "x=6 #m\n", + "y=0\n", + "C1=-(25*6**-1*6**3-10*12**-1*5**4+10*12**-1*2**4)*6**-1\n", + "\n", + "#deflection at C is given by\n", + "x=8\n", + "y_c=(C2+C1*x+25*6**-1*x**3-10*12**-1*(x-1)**4+10*12**-1*(x-4)**4+65*6**-1*(x-6)**3)*(E*I)**-1\n", + "\n", + "#Assuming y is max in the portion DE,then\n", + "#(dy/dx)=0 for that point\n", + "\n", + "#0=-65.417+25*2**-1*x**2-10*3**-1*x(-1)**3\n", + "\n", + "#Let F(x)=-65.417+25*2**-1*x**2-10*3**-1*x(-1)**3\n", + "#Let z=F(x)\n", + "\n", + "#AT \n", + "x=3\n", + "z=-65.417+25*2**-1*x**2-10*3**-1*(x-1)**3\n", + "\n", + "x=2.5\n", + "z1=-65.417+25*2**-1*x**2-10*3**-1*(x-1)**3\n", + "\n", + "x=2.4\n", + "z2=-65.417+25*2**-1*x**2-10*3**-1*(x-1)**3\n", + "\n", + "#The assumption is max in portion DE\n", + "x=2.46\n", + "y_max=(-65.417*x+25*6**-1*x**3-10*12**-1*1.46**4)*(E*I)**-1\n", + "\n", + "#Result\n", + "print\"Deflection at free end C\",round(y_c,4),\"mm\"\n", + "print\"Max Deflection between A and B\",round(y_max,4),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Deflection at free end C -0.0101 mm\n", + "Max Deflection between A and B -0.0114 mm\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.5.18,Page No.213" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L_DB=L_AC=L_ED=2 #m #Length of DB & AC\n", + "L_CD=4 #m #Length of CD\n", + "L_CE=2 #m #Length of CE\n", + "F_A=40 #KN #Force at C\n", + "F_B=20 #KN #Force at A\n", + "E=200*10**6 #KN/mm**2 #Modulus of Elasticity\n", + "I=50*10**-6 #m**4 #M.I\n", + "\n", + "#Calculations\n", + "\n", + "#LEt V_C & V_D be the reactions at C & D respectively\n", + "#V_C+V_D=60\n", + "\n", + "#Taking Moment At D,M_D\n", + "V_C=-(-F_A*(L_AC+L_CE+L_ED)+F_B*L_DB)*L_CD**-1\n", + "V_D=60-V_C\n", + "\n", + "#Now Taking Moment at Distance x from A,\n", + "#M_x=-40*x+50*(x-2)+10*(x-6)\n", + "\n", + "#EI*(d**2*y/dx**2)=-40*x+50*(x-2)+10*(x-6)\n", + "\n", + "#Now Integrating above Equation we get\n", + "#EI*(dy/dx)=C1+20*x**2-25*(x-2)+5*(x-6)**2\n", + "\n", + "#Again Integrating above Equation we get\n", + "#EI*y=C2+C1*x-20*3**-1*x**3+25*3**-1*(x-2)**3+5*3**-1*(x-6)**3\n", + "\n", + "#At\n", + "x=0\n", + "y=0\n", + "#C2+2*C1=-53.33 ...............(1)\n", + "\n", + "#At \n", + "x=6\n", + "y=0\n", + "#C2+6*C1=906.667 ...............(2)\n", + "\n", + "#Subtracting Equation 1 from 2 we get\n", + "C1=853.333*4**-1\n", + "C2=53.333-2*C1\n", + "x=0\n", + "y_A=(C2+C1*x-20*3**-1*x**3+25*3**-1*(x-2)**3+5*3**-1*(x-6)**3)*(E*I)**-1\n", + "\n", + "#Answer For y_A is incorrect in textbook\n", + "\n", + "#At Mid-span\n", + "C1=853.333*4**-1\n", + "C2=53.333-2*C1\n", + "x=4\n", + "y_E=(C2+C1*x-20*3**-1*x**3+25*3**-1*(x-2)**3+5*3**-1*(x-6)**3)*(E*I)**-1\n", + "\n", + "#Answer For y_E is incorrect in textbook\n", + "\n", + "#At B\n", + "C1=853.333*4**-1\n", + "C2=53.333-2*C1\n", + "x=8\n", + "y_B=(C2+C1*x-20*3**-1*x**3+25*3**-1*(x-2)**3+5*3**-1*(x-6)**3)*(E*I)**-1\n", + "\n", + "\n", + "#Result\n", + "print\"Deflection relative to the level of the supports:at End A\",round(y_A,4),\"mm\"\n", + "print\" :at End B\",round(y_B,4),\"mm\"\n", + "print\" :at Centre of CD\",round(y_E,4),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Deflection relative to the level of the supports:at End A -0.08 mm\n", + " :at End B -0.0267 mm\n", + " :at Centre of CD 0.0107 mm\n" + ] + } + ], + "prompt_number": 8 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_1.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_1.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_5.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_5.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_6.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_6.ipynb new file mode 100644 index 00000000..e3bdfbe1 --- /dev/null +++ b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.6_6.ipynb @@ -0,0 +1,1518 @@ +{ + "metadata": { + "name": "chapter no.6.ipynb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter No.6:Torsion" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.1,Page No.225" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=10000 #mm #Length of solid shaft\n", + "d=100 #mm #Diameter of shaft\n", + "n=150 #rpm\n", + "P=112.5*10**6 #N-mm/sec #Power Transmitted\n", + "G=82*10**3 #N/mm**2 #modulus of Rigidity\n", + "\n", + "#Calculations\n", + "\n", + "J=pi*d**4*(32)**-1 #mm**3 #Polar Modulus\n", + "T=P*60*(2*pi*n)**-1 #N-mm #Torsional moment\n", + "\n", + "r=50 #mm #Radius\n", + "\n", + "q_s=T*r*J**-1 #N/mm**2 #Max shear stress intensity\n", + "Theta=T*L*(G*J)**-1 #angle of twist\n", + "\n", + "#Result\n", + "print\"Max shear stress intensity\",round(q_s,2),\"N/mm**2\"\n", + "print\"Angle of Twist\",round(Theta,3),\"radian\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max shear stress intensity 36.48 N/mm**2\n", + "Angle of Twist 0.089 radian\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.2,Page No.226" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=440*10**6 #N-m/sec #Power transmitted\n", + "n=280 #rpm\n", + "theta=pi*180**-1 #radian #angle of twist\n", + "L=1000 #mm #Length of solid shaft\n", + "q_s=40 #N/mm**2 #Max torsional shear stress\n", + "G=84*10**3 #N/mm**2 #Modulus of rigidity\n", + "\n", + "#Calculations\n", + "\n", + "#P=2*pi*n*T*(60)**-1 #Equation of Power transmitted\n", + "T=P*60*(2*pi*n)**-1 #N-mm #torsional moment\n", + "\n", + "#From Consideration of shear stress\n", + "d1=(T*16*(pi*40)**-1)**0.333333 \n", + "\n", + "#From Consideration of angle of twist\n", + "d2=(T*L*32*180*(pi*84*10**3*pi)**-1)**0.25\n", + "\n", + "#result\n", + "print\"Diameter of solid shaft is\",round(d1,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of solid shaft is 124.09 mm\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.3,Page No.227" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "G=80*10**3 #N/mm**2 #Modulus of rigidity\n", + "q_s=80 #N/mm**2 #Max sheare stress\n", + "P=736*10**6 #N-mm/sec #Power transmitted\n", + "n=200\n", + "\n", + "#Calculations\n", + "\n", + "T=P*60*(2*pi*n)**-1 #N-mm #Torsional moment\n", + "\n", + "#Now From consideration of angle of twist\n", + "theta=pi*180**-1\n", + "#L=15*d\n", + "\n", + "d=(T*32*180*15*(pi**2*G)**-1)**0.33333\n", + "\n", + "#Now corresponding stress at the surface is\n", + "q_s2=T*32*d*(pi*2*d**4)**-1\n", + "\n", + "#Result\n", + "print\"Max diameter required is\",round(d,2),\"mm\"\n", + "print\"Corresponding shear stress is\",round(q_s2,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max diameter required is 156.66 mm\n", + "Corresponding shear stress is 46.55 N/mm**2\n" + ] + } + ], + "prompt_number": 27 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.4,Page No.228" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=25 #mm #Diameter of steel bar\n", + "p=50*10**3 #N #Pull\n", + "dell_1=0.095 #mm #Extension of bar\n", + "l=200 #mm #Guage Length\n", + "T=200*10**3 #N-mm #Torsional moment\n", + "theta=0.9*pi*180**-1 #angle of twist\n", + "L=250 #mm Length of steel bar\n", + "\n", + "#Calculations\n", + "\n", + "A=pi*4**-1*d**2 #Area of steel bar #mm**2\n", + "E=p*l*(dell_1*A)**-1 #N/mm**2 #Modulus of elasticity \n", + "\n", + "J=pi*32**-1*d**4 #mm**4 #Polar modulus\n", + "\n", + "G=T*L*(theta*J)**-1 #Modulus of rigidity #N/mm**2\n", + "\n", + "#Now from the relation of Elastic constants\n", + "mu=E*(2*G)**-1-1\n", + "\n", + "#result\n", + "print\"The Poissoin's ratio is\",round(mu,3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Poissoin's ratio is 0.292\n" + ] + } + ], + "prompt_number": 30 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.5,Page No.229" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=6000 #mm #Length of circular shaft\n", + "d1=100 #mm #Outer Diameter\n", + "d2=75 #mm #Inner Diameter\n", + "R=100*2**-1 #Radius of shaft\n", + "T=10*10**6 #N-mm #Torsional moment\n", + "G=80*10**3 #N/mm**2 #Modulus of Rigidity\n", + "\n", + "#Calculations\n", + "\n", + "J=pi*32**-1*(d1**4-d2**4) #mm**4 #Polar Modulus \n", + "\n", + "#Max Shear stress produced\n", + "q_s=T*R*J**-1 #N/mm**2\n", + "\n", + "#Angle of twist\n", + "theta=T*L*(G*J)**-1 #Radian\n", + "\n", + "#Result\n", + "print\"MAx shear stress produced is\",round(q_s,2),\"N/mm**2\"\n", + "print\"Angle of Twist is\",round(theta,2),\"Radian\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "MAx shear stress produced is 74.5 N/mm**2\n", + "Angle of Twist is 0.11 Radian\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.6,Page No.229" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d1=200 #mm #External Diameter of shaft\n", + "t=25 #mm #Thickness of shaft\n", + "n=200 #rpm\n", + "theta=0.5*pi*180**-1 #Radian #angle of twist\n", + "L=2000 #mm #Length of shaft\n", + "G=84*10**3 #N/mm**2\n", + "d2=d1-2*t #mm #Internal Diameter of shaft\n", + "\n", + "#Calculations\n", + "\n", + "J=pi*32**-1*(d1**4-d2**4) #mm**4 #Polar Modulus \n", + "\n", + "#Torsional moment\n", + "T=G*J*theta*L**-1 #N/mm**2 \n", + "\n", + "#Power Transmitted\n", + "P=2*pi*n*T*60**-1*10**-6 #N-mm\n", + "\n", + "#Max shear stress transmitted\n", + "q_s=G*theta*(d1*2**-1)*L**-1 #N/mm**2 \n", + "\n", + "#Result\n", + "print\"Power Transmitted is\",round(P,2),\"N-mm\"\n", + "print\"Max Shear stress produced is\",round(q_s,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Power Transmitted is 824.28 N-mm\n", + "Max Shear stress produced is 36.65 N/mm**2\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.7,Page No.230" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=3750*10**6 #N-mm/sec\n", + "n=240 #Rpm\n", + "q_s=160 #N/mm**2 #Max shear stress\n", + "\n", + "#Calculations\n", + "\n", + "#d2=0.8*d2 #mm #Internal Diameter of shaft\n", + "\n", + "#J=pi*32**-1*(d1**4-d2**4) #mm**4 #Polar modulus\n", + "#After substituting value in above Equation we get\n", + "#J=0.05796*d1**4\n", + "\n", + "T=P*60*(2*pi*n)**-1 #N-mm #Torsional moment\n", + "\n", + "#Now from Torsion Formula\n", + "#T*J**-1=q_s*R**-1 ......................................(1)\n", + "\n", + "#But R=d1*2**-1 \n", + "\n", + "#Now substituting value of R and J in Equation (1) we get\n", + "d1=(T*(0.05796*q_s*2)**-1)**0.33333\n", + "\n", + "d2=d1*0.8\n", + "\n", + "#Result\n", + "print\"The size of the Shaft is:d1\",round(d1,3),\"mm\"\n", + "print\" :d2\",round(d2,3),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The size of the Shaft is:d1 200.362 mm\n", + " :d2 160.289 mm\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.8,Page No.231" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=245*10**6 #N-mm/sec #Power transmitted\n", + "n=240 #rpm\n", + "q_s=40 #N/mm**2 #Shear stress\n", + "theta=pi*180**-1 #radian #Angle of twist\n", + "L=1000 #mm #Length of shaft\n", + "G=80*10**3 #N/mm**2\n", + "\n", + "#Tmax=1.5*T\n", + "\n", + "#Calculations\n", + "\n", + "T=P*60*(2*pi*n)**-1 #N-mm #Torsional Moment\n", + "Tmax=1.5*T\n", + "\n", + "#Now For Solid shaft\n", + "#J=pi*32*d**4\n", + "\n", + "#Now from the consideration of shear stress we get\n", + "#T*J**-1=q_s*(d*2**-1)**-1\n", + "#After substituting value in above Equation we get\n", + "#T=pi*16**-1*d**3*q_s\n", + "\n", + "#Designing For max Torque\n", + "d=(Tmax*16*(pi*40)**-1)**0.33333 #mm #Diameter of shaft\n", + "\n", + "#For max Angle of Twist\n", + "#Tmax*J**-1=G*theta*L**-1 \n", + "#After substituting value in above Equation we get\n", + "d2=(Tmax*32*180*L*(pi**2*G)**-1)**0.25\n", + "\n", + "#For Hollow Shaft\n", + "\n", + "#d1_2=Outer Diameter\n", + "#d2_2=Inner Diameter\n", + "\n", + "#d2_2=0.5*d1_2\n", + "\n", + "# Polar modulus\n", + "#J=pi*32**-1*(d1_2**4-d2_2**4)\n", + "#After substituting values we get\n", + "#J=0.092038*d1_2**4\n", + "\n", + "#Now from the consideration of stress\n", + "#Tmax*J**-1=q_s*(d1_2*2**-1)**-1\n", + "#After substituting values and further simplifying we get\n", + "d1_2=(Tmax*(0.092038*2*q_s)**-1)**0.33333\n", + "\n", + "#Now from the consideration of angle of twist\n", + "#Tmax*J**-1=G*theta*L**-1\n", + "#After substituting values and further simplifying we get\n", + "d1_3=(Tmax*180*L*(0.092038*G*pi)**-1)**0.25\n", + "\n", + "d2_2=0.5*d1_2\n", + "\n", + "#result\n", + "print\"Diameter of shaft is:For solid shaft:d\",round(d,2),\"mm\"\n", + "print\" :For Hollow shaft:d1_2\",round(d1_2,3),\"mm\"\n", + "print\" : :d2_2\",round(d2_2,3),\"mm\" " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of shaft is:For solid shaft:d 123.01 mm\n", + " :For Hollow shaft:d1_2 125.69 mm\n", + " : :d2_2 62.845 mm\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.11,Page No.235" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=250*10**6 #N-mm/sec #Power transmitted\n", + "n=100 #rpm\n", + "q_s=75 #N/mm**2 #Shear stress\n", + "\n", + "#Calculations\n", + "\n", + "#From Equation of Power we have\n", + "T=P*60*(2*pi*n)**-1 #N-mm #Torsional moment\n", + "\n", + "#Now from torsional moment equation we have\n", + "#T=j*q_s*(d/2**-1)**-1\n", + "#After substituting values in above equation and further simplifying we get\n", + "#T=pi*16**-1**d**3*q_s\n", + "d=(T*16*(pi*q_s)**-1)**0.3333 #mm #Diameter of solid shaft\n", + "\n", + "#PArt-2\n", + "\n", + "#Let d1 and d2 be the outer and inner diameter of hollow shaft\n", + "#d2=0.6*d1\n", + "\n", + "#Again from torsional moment equation we have\n", + "#T=pi*32**-1*(d1**4-d2**4)*q_s*(d1/2)**-1\n", + "d1=(T*16*(pi*(1-0.6**4)*q_s)**-1)**0.33333\n", + "d2=0.6*d1\n", + "\n", + "#Cross sectional area of solid shaft\n", + "A1=pi*4**-1*d**2 #mm**2\n", + "\n", + "#cross sectional area of hollow shaft\n", + "A2=pi*4**-1*(d1**2-d2**2)\n", + "\n", + "#Now percentage saving in weight\n", + "#Let W be the percentage saving in weight\n", + "W=(A1-A2)*100*A1**-1\n", + "\n", + "#Result\n", + "print\"Percentage saving in Weight is\",round(W,3),\"%\"\n", + "print\"Size of shaft is:solid shaft:d\",round(d,3),\"mm\"\n", + "print\" :Hollow shaft:d1\",round(d1,3),\"mm\"\n", + "print\" : :d2\",round(d2,3),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Percentage saving in Weight is 29.735 %\n", + "Size of shaft is:solid shaft:d 117.418 mm\n", + " :Hollow shaft:d1 123.031 mm\n", + " : :d2 73.818 mm\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.12,Page No.237" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "d=100 #mm #Diameter of solid shaft\n", + "d1=100 #mm #Outer Diameter of hollow shaft\n", + "d2=50 #mm #Inner Diameter of hollow shaft\n", + "\n", + "#Calculations\n", + "\n", + "#Torsional moment of solid shaft\n", + "#T_s=J*q_s*(d*2**-1)**-1 \n", + "#After substituting values in above equation and further simplifying we get\n", + "#T_s=pi*16*d**3*q_s ...............(1)\n", + "\n", + "#torsional moment for hollow shaft is\n", + "#T_h=J*q_s*(d1**4-d2**4)**-1*(d1*2**-1)\n", + "#After substituting values in above equation and further simplifying we get\n", + "#T_h=pi*32**-1*2*d1**-1*(d1**4-d2**4)*q_s ...........(2)\n", + "\n", + "#Dividing Equation 2 by 1 we get\n", + "#Let the ratio of T_h*T_s**-1 Be X\n", + "X=1-0.5**4\n", + "\n", + "#Loss in strength \n", + "#Let s be the loss in strength\n", + "#s=T_s*T_h*100*T_s**-1\n", + "#After substituting values in above equation and further simplifying we get\n", + "s=(1-0.9375)*100\n", + "\n", + "#Weight Ratio \n", + "#Let w be the Weight ratio\n", + "#w=W_h*W_s**-1\n", + "\n", + "A_h=pi*32**-1*(d1**2-d2**2) #mm**2 #Area of Hollow shaft\n", + "A_s=pi*32**-1*d**2 #mm**2 #Area of solid shaft\n", + "\n", + "w=A_h*A_s**-1 \n", + "\n", + "#Result\n", + "print\"Loss in strength is\",round(s,2)\n", + "print\"Weight ratio is\",round(w,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Loss in strength is 6.25\n", + "Weight ratio is 0.75\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.13,Page No.239" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "T=8 #KN-m #Torque \n", + "d=100 #mm #Diameter of portion AB\n", + "d1=100 #mm #External Diameter of Portion BC\n", + "d2=75 #mm #Internal Diameter of Portion BC\n", + "G=80 #KN/mm**2 #Modulus of Rigidity\n", + "L1=1500 #mm #Radial Distance of Portion AB\n", + "L2=2500 #mm #Radial Distance ofPortion BC\n", + "\n", + "#Calculations\n", + "\n", + "R=d*2**-1 #mm #Radius of shaft\n", + "\n", + "#For Portion AB,Polar Modulus\n", + "J1=pi*32**-1*d**4 #mm**4 \n", + "\n", + "#For Portion BC,Polar modulus \n", + "J2=pi*32**-1*(d1**4-d2**4) #mm**4\n", + "\n", + "#Now Max stress occurs in portion BC since max radial Distance is sme in both cases\n", + "q_max=T*J2**-1*R*10**6 #N/mm**2 \n", + "\n", + "#Let theta1 be the rotation in Portion AB and theta2 be the rotation in portion BC\n", + "theta1=T*L1*(G*J1)**-1 #Radians\n", + "theta2=T*L2*(G*J2)**-1 #Radians\n", + "\n", + "#Total Rotational at end C\n", + "theta=(theta1+theta2)*10**3 #Radians\n", + "\n", + "#Result\n", + "print\"Max stress induced is\",round(q_max,2),\"N/mm**2\"\n", + "print\"Angle of Twist is\",round(theta,3),\"radians\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max stress induced is 59.6 N/mm**2\n", + "Angle of Twist is 0.053 radians\n" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.14,Page No.240" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "q_b=80 #N/mm**2 #Shear stress in Brass\n", + "q_s=100 #N/mm**2 #Shear stress in Steel\n", + "G_b=40*10**3 #N/mm**2 \n", + "G_s=80*10**3 \n", + "L_b=1000 #mm #Length of brass shaft\n", + "L_s=1200 #mm #Length of steel shaft\n", + "d1=80 #mm #Diameter of brass shaft\n", + "d2=60 #mm #Diameter of steel shaft\n", + "\n", + "#Calculations\n", + "\n", + "#Polar modulus of brass rod\n", + "J_b=pi*32**-1*d1**4 #mm**4 \n", + "\n", + "#Polar modulus of steel rod\n", + "J_s=pi*32**-1*d2**4 #mm**4\n", + "\n", + "#Considering bras Rod:AB\n", + "T1=J_b*q_b*(d1*2**-1)**-1 #N-mm \n", + "\n", + "#Considering Steel Rod:BC\n", + "T2=J_s*q_s*(d2*2**-1)**-1 #N-mm\n", + "\n", + "#Max Torque that can be applied\n", + "T2\n", + "\n", + "#Let theta_b and theta_s be the rotations in Brass and steel respectively\n", + "theta_b=T2*L_b*(G_b*J_b)**-1 #Radians\n", + "theta_s=T2*L_s*(G_s*J_s)**-1 #Radians\n", + "\n", + "theta=theta_b+theta_s #Radians #Rotation of free end\n", + "\n", + "#Result\n", + "print\"Total of free end is\",round(theta,3),\"Radians\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Total of free end is 0.076 Radians\n" + ] + } + ], + "prompt_number": 36 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.15,Page No.241" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "G=80*10**3 #N/mm**2 #Modulus of Rigidity\n", + "d1=100 #mm #Outer diameter of hollow shft\n", + "d2=80 #mm #Inner diameter of hollow shaft\n", + "d=80 #mm #diameter of Solid shaft\n", + "d3=60 #mm #diameter of Solid shaft having L=0.5m\n", + "L1=300 #mm #Length of Hollow shaft\n", + "L2=400 #mm #Length of solid shaft\n", + "L3=500 #mm #LEngth of solid shaft of diameter 60mm\n", + "T1=2*10**6 #N-mm #Torsion in Shaft AB\n", + "T2=1*10**6 #N-mm #Torsion in shaft BC\n", + "T3=1*10**6 #N-mm #Torsion in shaft CD\n", + "\n", + "#Calculations\n", + "\n", + "#Now Polar modulus of section AB\n", + "J1=pi*32**-1*(d1**4-d2**4) #mm**4 \n", + "\n", + "#Polar modulus of section BC\n", + "J2=pi*32**-1*d**4 #mm**4\n", + "\n", + "#Polar modulus of section CD\n", + "J3=pi*32**-1*d3**4 #mm**4\n", + "\n", + "#Now angle of twist of AB\n", + "theta1=T1*L1*(G*J1)**-1 #radians\n", + "\n", + "#Angle of twist of BC\n", + "theta2=T2*L2*(G*J2)**-1 #radians\n", + "\n", + "#Angle of twist of CD\n", + "theta3=T3*L3*(G*J3)**-1 #radians\n", + "\n", + "#Angle of twist\n", + "theta=theta1-theta2+theta3 #Radians\n", + "\n", + "#Shear stress in AB From Torsion Equation\n", + "q_s1=T1*(d1*2**-1)*J1**-1 #N/mm**2 \n", + "\n", + "#Shear stress in BC\n", + "q_s2=T2*(d*2**-1)*J2**-1 #N/mm**2 \n", + "\n", + "#Shear stress in CD\n", + "q_s3=T3*(d3*2**-1)*J3**-1 #N-mm**2\n", + "\n", + "#As max shear stress occurs in portion CD,so consider CD\n", + "\n", + "#Result\n", + "print\"Angle of twist at free end is\",round(theta,5),\"Radian\"\n", + "print\"Max Shear stress\",round(q_s3,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Angle of twist at free end is 0.00496 Radian\n", + "Max Shear stress 23.58 N/mm**2\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.16,Page No.242" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=1000 #mm #Length of bar\n", + "L1=600 #mm #Length of Bar AB\n", + "L2=400 #mm #Length of Bar BC\n", + "d1=60 #mm #Outer Diameter of bar BC\n", + "d2=30 #mm #Inner Diameter of bar BC\n", + "d=60 #mm #Diameter of bar AB\n", + "T=2*10**6 #N-mm #Total Torque\n", + "\n", + "#Calculations\n", + "\n", + "#Polar Modulus of Portion AB\n", + "J1=pi*32**-1*d**4 #mm*4\n", + "\n", + "#Polar Modulus of Portion BC\n", + "J2=pi*32**-1*(d1**4-d2**4) #mm**4\n", + "\n", + "#Let T1 be the torque resisted by bar AB and T2 be torque resisted by Bar BC\n", + "#Let theta1 and theta2 be the rotation of shaft in portion AB & BC\n", + "\n", + "#theta1=T1*L1*(G*J1)**-1 #radians\n", + "#After substituting values and further simplifying we get \n", + "#theta1=32*600*T1*(pi*60**4*G)**-1\n", + "\n", + "#theta2=T2*L*(J2*G)**-1 #Radians\n", + "#After substituting values and further simplifying we get \n", + "#theta2=32*400*T2*(pi*60**4*(1-0.5**4)*G)**-1 \n", + "\n", + "#Now For consistency of Deformation,theta1=theta2\n", + "#After substituting values and further simplifying we get \n", + "#T1=0.7111*T2 ..................................................(1)\n", + "\n", + "#But T1+T2=T=2*10**6 ...........................................(2)\n", + "#Substituting value of T1 in above equation\n", + "\n", + "T2=T*(0.7111+1)**-1\n", + "T1=0.71111*T2\n", + "\n", + "#Max stress in Portion AB\n", + "q_s1=T1*(d*2**-1)*(J1)**-1 #N/mm**2\n", + "\n", + "#Max stress in Portion BC\n", + "q_s2=T2*(d1*2**-1)*J2**-1 #N/mm**2 \n", + "\n", + "#Result\n", + "print\"Stresses Developed in Portion:AB\",round(q_s1,2),\"N/mm**2\"\n", + "print\" :BC\",round(q_s2,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stresses Developed in Portion:AB 19.6 N/mm**2\n", + " :BC 29.4 N/mm**2\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.17,Page No.243" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d1=80 #mm #External Diameter of Brass tube\n", + "d2=50 #mm #Internal Diameter of Brass tube\n", + "d=50 #mm #Diameter of steel Tube\n", + "G_b=40*10**3 #N/mm**2 #Modulus of Rigidity of brass tube\n", + "G_s=80*10**3 #N/mm**2 #Modulus of rigidity of steel tube\n", + "T=6*10**6 #N-mm #Torque\n", + "L=2000 #mm #Length of Tube\n", + "\n", + "#Calculations\n", + "\n", + "#Polar Modulus of brass tube\n", + "J1=pi*32**-1*(d1**4-d2**4) #mm**4 \n", + "\n", + "#Polar modulus of steel Tube\n", + "J2=pi*32**-1*d**4 #mm**4\n", + "\n", + "#Let T_s & T_b be the torque resisted by steel and brass respectively\n", + "#Then, T_b+T_s=T ............................................(1)\n", + "\n", + "#Since the angle of twist will be the same\n", + "#Theta1=Theta2\n", + "#After substituting values and further simplifying we get \n", + "#Ts=0.360*Tb ...........................................(2)\n", + "\n", + "#After substituting value of Ts in eqn 1 and further simplifying we get \n", + "T_b=T*(0.36+1)**-1 #N-mm\n", + "T_s=0.360*T_b\n", + "\n", + "#Let q_s and q_b be the max stress in steel and brass respectively\n", + "q_b=T_b*(d1*2**-1)*J1**-1 #N/mm**2\n", + "q_s=T_s*(d2*2**-1)*J2**-1 #N/mm**2\n", + "\n", + "#Since angle of twist in brass=angle of twist in steel\n", + "theta_s=T_s*L*(J2*G_s)**-1\n", + "\n", + "#Result\n", + "print\"Stresses Developed in Materials are:Brass\",round(q_b,2),\"N/mm**2\"\n", + "print\" :Steel\",round(q_s,2),\"N/mm**2\"\n", + "print\"Angle of Twist in 2m Length\",round(theta_s,3),\"Radians\" " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stresses Developed in Materials are:Brass 51.79 N/mm**2\n", + " :Steel 64.71 N/mm**2\n", + "Angle of Twist in 2m Length 0.065 Radians\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.18,Page No.245" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d1=60 #mm #External Diameter of aluminium Tube\n", + "d2=40 #mm #Internal Diameter of aluminium Tube\n", + "d=40 #mm #Diameter of steel tube\n", + "q_a=60 #N/mm**2 #Permissible stress in aluminium\n", + "q_s=100 #N/mm**2 #Permissible stress in steel tube\n", + "G_a=27*10**3 #N/mm**2 \n", + "G_s=80*10**3 #N/mm**2 \n", + "\n", + "#Calculations\n", + "\n", + "#Polar modulus of aluminium Tube\n", + "J_a=pi*32**-1*(d1**4-d2**4) #mm**4\n", + "\n", + "#Polar Modulus of steel Tube\n", + "J_s=pi*32**-1*d**4 #mm**4\n", + "\n", + "#Now the angle of twist of steel tube = angle of twist of aluminium tube\n", + "#T_s*L_s*(J_s*theta_s)**-1=T_a*L_a*(J_a*theta_a)**-1\n", + "#After substituting values in above Equation and Further simplifyin we get\n", + "#T_s=0.7293*T_a .....................(1)\n", + "\n", + "#If steel Governs the resisting capacity\n", + "T_s1=q_s*J_s*(d*2**-1)**-1 #N-mm\n", + "T_a1=T_s1*0.7293**-1 #N-mm\n", + "T1=(T_s1+T_a1)*10**-6 #KN-m #Total Torque in steel Tube\n", + "\n", + "#If aluminium Governs the resisting capacity \n", + "T_a2=q_a*J_a*(d1*2**-1) #N-mm\n", + "T_s2=T_a2*0.7293 #N-mm\n", + "T2=(T_s2+T_a2)*10**-6 #KN-m #Total Torque in aluminium tube\n", + "\n", + "#Result\n", + "print\"Steel Governs the torque carrying capacity\",round(T1,2),\"KN-m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Steel Governs the torque carrying capacity 2.98 KN-m\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.19,Page No.247" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "P=225*10**6 #N-mm/sec #Power Trasmitted\n", + "q_b=80 #N/mm**2 #Shear stress\n", + "n=200 #Rpm\n", + "q_k=100 #N/mm**2 #PErmissible stress in Keys\n", + "D=300 #mm #Diameter of bolt circle\n", + "L=150 #mm #Length of shear key\n", + "d=16 #mm #Diameterr of bolt\n", + "\n", + "#Calculations\n", + "T=60*P*(2*pi*n)**-1 #N-mm #Torque\n", + "\n", + "#Now From Torsion Formula\n", + "#T*J**-1=q_s*R**-1\n", + "#After substituting values we get\n", + "#T=pi*16*d**3*n\n", + "#After further simplifying we get\n", + "d1=(T*16*(pi*q_s)**-1)**0.33333\n", + "\n", + "#Let b be the width of shear Key\n", + "#T=q_k*L*b*R\n", + "#After simplifying further we get\n", + "b=T*(q_k*L*(d1*2**-1))**-1 #mm\n", + "\n", + "#Let n2 be the no. of bolts required at bolt circle of radius\n", + "R_b=D*2**-1 #mm \n", + "\n", + "n2=T*4*(q_b*pi*d**2*R_b)**-1\n", + "\n", + "#result\n", + "print\"Minimum no. of Bolts Required are\",round(n2,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Minimum no. of Bolts Required are 4.45\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.20,Page No.250" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "T=2*10**6 #N-mm #Torque transmitted\n", + "G=80*10**3 #N/mm**2 #Modulus of rigidity\n", + "d1=40 #mm \n", + "d2=80 #mm\n", + "r1=20 #mm\n", + "r2=40 #mm\n", + "L=2000 #mm #Length of shaft\n", + "\n", + "#Calculations\n", + "\n", + "#Angle of twist \n", + "theta=2*T*L*(r1**2+r1*r2+r2**2)*(3*pi*G*r2**3*r1**3)**-1 #radians\n", + "\n", + "#If the shaft is treated as shaft of average Diameter\n", + "d_avg=(d1+d2)*2**-1 #mm\n", + "\n", + "theta1=T*L*(G*pi*32**-1*d_avg**4)**-1 #Radians\n", + "\n", + "#Percentage Error\n", + "#Let Percentage Error be E\n", + "X=theta-theta1\n", + "E=(X*theta**-1)*100 \n", + "\n", + "#Result\n", + "print\"Percentage Error is\",round(E,2),\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Percentage Error is 32.28 %\n" + ] + } + ], + "prompt_number": 42 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.21,Page No.252" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "G=80*10**3 #N/mm**2 \n", + "P=1*10**9 #N-mm/sec #Power\n", + "n=300 \n", + "d1=150 #mm #Outer Diameter\n", + "d2=120 #mm #Inner Diameter\n", + "L=2000 #mm #Length of circular shaft\n", + "\n", + "#Calculations\n", + "\n", + "T=P*60*(2*pi*n)**-1 #N-mm\n", + "\n", + "#Polar Modulus \n", + "J=pi*32**-1*(d1**4-d2**4) #mm**4\n", + "\n", + "q_s=T*J**-1*(d1*2**-1) #N/mm**2 \n", + "\n", + "\n", + "#Strain ENergy\n", + "U=q_s**2*(4*G)**-1*pi*4**-1*(d1**2-d2**2)*L\n", + "\n", + "#Result\n", + "print\"Max shear stress is\",round(q_s,2),\"N/mm**2\"\n", + "print\"Strain Energy stored in the shaft is\",round(U,2),\"N-mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max shear stress is 81.36 N/mm**2\n", + "Strain Energy stored in the shaft is 263181.37 N-mm\n" + ] + } + ], + "prompt_number": 51 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.22,Page No.254" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=12 #mm #Diameter of helical spring\n", + "D=150 #mm #Mean Diameter\n", + "R=D*2**-1 #mm #Radius of helical spring\n", + "n=10 #no.of turns\n", + "G=80*10**3 #N/mm**2 \n", + "W=450 #N #Load\n", + "\n", + "#Calculations\n", + "\n", + "#Max shear stress \n", + "q_s=16*W*R*(pi*d**3)**-1 #N/mm**2\n", + "\n", + "#Strain Energy stored\n", + "U=32*W**2*R**3*n*(G*d**4)**-1 #N-mm\n", + "\n", + "#Deflection Produced\n", + "dell=64*W*R**3*n*(G*d**4)**-1 #mm\n", + "\n", + "#Stiffness Spring\n", + "k=W*dell**-1 #N/mm\n", + "\n", + "#Result\n", + "print\"Max shear stress is\",round(q_s,2),\"N/mm**2\"\n", + "print\"Strain Energy stored is\",round(U,2),\"N-mm\"\n", + "print\"Deflection Produced is\",round(dell,2),\"mm\"\n", + "print\"Stiffness spring is\",round(k,2),\"N/mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max shear stress is 99.47 N/mm**2\n", + "Strain Energy stored is 16479.49 N-mm\n", + "Deflection Produced is 73.24 mm\n", + "Stiffness spring is 6.14 N/mm\n" + ] + } + ], + "prompt_number": 53 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.23,Page No.255" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "K=5 #N/mm #Stiffness\n", + "L=100 #mm #Solid Length\n", + "q_s=60 #N/mm**2 #Max shear stress\n", + "W=200 #N #Max Load\n", + "G=80*10**3 #N/mm**2\n", + "\n", + "#Calculations\n", + "\n", + "#K=W*dell**-1\n", + "#After substituting values and further simplifying we get\n", + "#d=0.004*R**3*n ........(1) #mm #Diameter of wire\n", + "#n=L*d**-1 ........(2)\n", + "\n", + "#From Shearing stress\n", + "#q_s=16*W*R*(pi*d**3)**-1 \n", + "#After substituting values and further simplifying we get\n", + "#d**4=0.004*R**3*n .................(4)\n", + "\n", + "#From Equation 1,2,3\n", + "#d**4=0.004*(0.0785*d**3)**3*100*d**-1\n", + "#after further simplifying we get\n", + "d=5168.101**0.25\n", + "n=100*d**-1\n", + "R=(d**4*(0.004*n)**-1)**0.3333\n", + "\n", + "#Result\n", + "print\"Diameter of Wire is\",round(d,2),\"mm\"\n", + "print\"No.of turns is\",round(n,2)\n", + "print\"Mean Radius of spring is\",round(R,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Diameter of Wire is 8.48 mm\n", + "No.fo turns is 11.79\n", + "Mean Radius of spring is 47.83 mm\n" + ] + } + ], + "prompt_number": 54 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.24,Page No.255" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "m=5*10**5 #Wagon Weighing\n", + "v=18*1000*36000**-1 \n", + "d=300 #mm #Diameter of Beffer springs\n", + "n=18 #no.of turns\n", + "G=80*10**3 #N/mm**2\n", + "dell=225\n", + "R=100 #mm #Mean Radius\n", + "\n", + "#Calculations\n", + "\n", + "#Energy of Wagon\n", + "E=m*v**2*(9.81*2)**-1 #N-mm\n", + "\n", + "#Load applied\n", + "W=dell*G*d**4*(64*R**3*n)**-1 #N \n", + "\n", + "#Energy each spring can absorb is\n", + "E2=W*dell*2**-1 #N-mm\n", + "\n", + "#No.of springs required to absorb energy of Wagon\n", + "n2=E*E2**-1 *10**7\n", + "\n", + "#Result\n", + "print\"No.of springs Required for Buffer is\",round(n2,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "No.of springs Required for Buffer is 4.47\n" + ] + } + ], + "prompt_number": 66 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.25,Page No.259" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "b=180 #mm #width of flange\n", + "d=10 #mm #Depth of flange\n", + "t=10 #mm #Thickness of flange\n", + "D=400 #mm #Overall Depth \n", + "\n", + "#Calculations\n", + "\n", + "I_xx=1*12**-1*(b*D**3-(b-t)*(D-2*d)**3)\n", + "I_yy=1*12**-1*((D-2*d)*t**3+2*t*b**3)\n", + "\n", + "#If warping is neglected\n", + "J=I_xx+I_yy #mm**4\n", + "\n", + "#Since b/d>1.6,we get\n", + "J2=1*3**-1*d**3*b*(1-0.63*d*b**-1)*2+1*3**-1*t**3*(D-2*d)*(1-0.63*t*b**-1)\n", + "\n", + "#Over Estimation of torsional Rigidity would have been \n", + "T=J*J2**-1\n", + "\n", + "#Result\n", + "print\"Error in assessing torsional Rigidity if the warping is neglected is\",round(T,2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Error in assessing torsional Rigidity if the warping is neglected is 808.28\n" + ] + } + ], + "prompt_number": 68 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6.26,Page No.261" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d1=100 #mm #Outer Diameter\n", + "d2=95 #mm #Inner Diameter\n", + "T=2*10**6 #N-mm #Torque\n", + "\n", + "#Calculations\n", + "\n", + "J=pi*32**-1*(d1**4-d2**4) #mm**4 #Polar Modulus\n", + "\n", + "#Shear stress\n", + "q_max=T*J**-1*d1*2**-1 #N/mm**2 \n", + "\n", + "#Now theta*L**-1=T*(G*J)**-1\n", + "#After substituting values and further simplifying we get\n", + "#Let theta*L**-1=X\n", + "X=T*J**-1\n", + "\n", + "#Now Treating it as very thin walled tube\n", + "d=(d1+d2)*2**-1 #mm\n", + "\n", + "r=d*2**-1 \n", + "t=(d1-d2)*2**-1\n", + "q_max2=T*(2*pi*r**2*t)**-1 #N/mm**2\n", + "\n", + "X2=T*(2*pi*r**3*t)**-1 \n", + "\n", + "#Result\n", + "print\"When it is treated as hollow shaft:Max shear stress\",round(q_max,2),\"N/mm**2\"\n", + "print\" :Angle of Twist per unit Length\",round(X,3)\n", + "print\"When it is very thin Walled Tube :Max shear stress\",round(q_max2,2),\"N/mm**2\"\n", + "print\" :Angle of twist per Unit Length\",round(X2,3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "When it is treated as hollow shaft:Max shear stress 54.91 N/mm**2\n", + " :Angle of Twist per unit Length 1.098\n", + "When it is very thin Walled Tube :Max shear stress 53.57 N/mm**2\n", + " :Angle of twist per Unit Length 1.099\n" + ] + } + ], + "prompt_number": 72 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_1.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_1.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_5.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_5.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_6.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_6.ipynb new file mode 100644 index 00000000..b75d886a --- /dev/null +++ b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.7_6.ipynb @@ -0,0 +1,1328 @@ +{ + "metadata": { + "name": "chapter no.7.ipynb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter No.7:Compound Stresses And Strains" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 7.1,Page No.269" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "sigma1=30 #N/mm**2 #Stress in tension\n", + "d=20 #mm #Diameter \n", + "sigma2=90 #N/mm**2 #Max compressive stress\n", + "sigma3=25 #N/mm**2\n", + "\n", + "#Calculations\n", + "\n", + "#In TEnsion\n", + "\n", + "#Corresponding stress in shear\n", + "P=sigma1*2**-1 #N/mm**2\n", + "\n", + "#Tensile force\n", + "F=pi*4**-1*d**2*sigma1\n", + "\n", + "#In Compression\n", + "\n", + "#Correspong shear stress\n", + "P2=sigma2*2**-1 #N/mm**2\n", + "\n", + "#Correspong compressive(axial) stress\n", + "p=2*sigma3 #N/mm**2 \n", + "\n", + "#Corresponding Compressive force\n", + "P3=p*pi*4**-1*d**2 #N\n", + "\n", + "#Result\n", + "print\"Failure Loads are:\",round(F,2),\"N\"\n", + "print\" :\",round(P3,2),\"N\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Failure Loads are: 9424.78 N\n", + " : 15707.96 N\n" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.2,Page No.270" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=25 #mm #Diameter of circular bar\n", + "F=20*10**3 #N #Axial Force\n", + "theta=30 #Degree #angle \n", + "\n", + "#Calculations\n", + "\n", + "#Axial stresses\n", + "p=F*(pi*4**-1*d**2)**-1 #N/mm**2\n", + "\n", + "#Normal Stress\n", + "p_n=p*(cos(30*pi*180**-1))**2\n", + "\n", + "#Tangential Stress\n", + "p_t=p*2**-1*sin(2*theta*pi*180**-1)\n", + "\n", + "#Max shear stress occurs on plane where theta2=45 \n", + "theta2=45\n", + "sigma_max=p*2**-1*sin(2*theta2*pi*180**-1)\n", + "\n", + "#Result\n", + "print\"Stresses developed on a plane making 30 degree is:\",round(p_n,2),\"N/mm**2\"\n", + "print\" :\",round(p_t,2),\"N/mm**2\"\n", + "print\"stress on max shear stress is\",round(sigma_max,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stresses developed on a plane making 30 degree is: 30.56 N/mm**2\n", + " : 17.64 N/mm**2\n", + "stress on max shear stress is 20.37 N/mm**2\n" + ] + } + ], + "prompt_number": 38 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.3,Page No.272" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "theta=30 #degree\n", + "\n", + "#Stresses acting on material\n", + "p1=120 #N/mm**2\n", + "p2=80 #N/mm**2\n", + "\n", + "#Calculations\n", + "\n", + "#Normal Stress\n", + "P_n=(p1+p2)*2**-1+(p1-p2)*2**-1*cos(2*theta*pi*180**-1) #N/mm**2\n", + "\n", + "#Tangential stress\n", + "P_t=(p1-p2)*2**-1*sin(2*theta*pi*180**-1)\n", + "\n", + "#Resultant stress\n", + "P=(P_n**2+P_t**2)**0.5 #N/mm**2\n", + "\n", + "#Inclination to the plane\n", + "phi=arctan(P_n*P_t**-1)*(180*pi**-1)\n", + "\n", + "#Angle made by resultant with 120 #N/mm**2 stress\n", + "phi2=phi+theta #Degree\n", + "\n", + "#Result\n", + "print\"Normal Stress is\",round(P_n,2),\"N/mm**2\"\n", + "print\"Tangential Stress is\",round(P_t,2),\"N/mm**2\"\n", + "print\"Angle made by resultant\",round(phi2,2),\"Degree\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Normal Stress is 110.0 N/mm**2\n", + "Tangential Stress is 17.32 N/mm**2\n", + "Angle made by resultant 111.05 Degree\n" + ] + } + ], + "prompt_number": 30 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.4,Page No.272" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Direct Stresses\n", + "P1=60 #N/mm**2 \n", + "P2=100 #N/mm**2\n", + "\n", + "Theta=25 #Degree #Angle\n", + "\n", + "#Calculations\n", + "\n", + "#Normal Stress\n", + "P_n=(P1-P2)*2**-1+(P1+P2)*2**-1*cos(2*Theta*pi*180**-1) #N/mm**2\n", + "\n", + "#Tangential Stress\n", + "P_t=(P1+P2)*2**-1*sin(Theta*2*pi*180**-1) #N/mm**2\n", + "\n", + "#Resultant stress\n", + "P=(P_n**2+P_t**2)**0.5 #N/mm**2\n", + "\n", + "theta2=arctan(P_n*P_t**-1)*(180*pi**-1)\n", + "\n", + "#Result\n", + "print\"Stresses on the plane AC is:\",round(P_n,2),\"N/mm**2\"\n", + "print\" \",round(P_t,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stresses on the plane AC is: 31.42 N/mm**2\n", + " 61.28 N/mm**2\n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.6,Page No.278" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Stresses acting on material\n", + "p_x=180 #N/mm**2 \n", + "p_y=120 #N/mm**2\n", + "\n", + "q=80 #N/mm**2\n", + "\n", + "#Calculations\n", + "\n", + "theta=arctan(2*q*(p_x-p_y)**-1)*(180*pi**-1) #degrees\n", + "theta2=theta*2**-1 #Degrees\n", + "theta3=theta+180 #Degrees\n", + "theta4=theta3*2**-1 #Degrees\n", + "\n", + "#Stresses\n", + "p_1=(p_x+p_y)*2**-1+(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "p_2=(p_x+p_y)*2**-1-(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Max shear stress\n", + "q_max=(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Magnitude of Principal stress is:\",round(p_1,2),\"N/mm**2\"\n", + "print\" \",round(p_2,2),\"N/mm**2\"\n", + "print\"Magnitude of max shear stress is\",round(q_max,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Magnitude of Principal stress is: 235.44 N/mm**2\n", + " 64.56 N/mm**2\n", + "Magnitude of max shear stress is 85.44 N/mm**2\n" + ] + } + ], + "prompt_number": 40 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.7,Page No.279" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#stresses\n", + "p_x=60 #N/mm**2\n", + "p_y=-40 #N/mm**2\n", + "\n", + "q=10 #N/mm**2 #shear stress\n", + "\n", + "#Calculations\n", + "\n", + "#Principal Stresses\n", + "p1=(p_x+p_y)*2**-1+(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "p2=(p_x+p_y)*2**-1-(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Max shear stress\n", + "q_max=(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Inclination of principal stress to plane\n", + "theta=arctan(2*q*(p_x-p_y)**-1)*(180*pi**-1)#Degrees\n", + "theta2=(theta)*2**-1 #degrees\n", + "\n", + "theta3=(theta+180)*2**-1 #degrees\n", + "\n", + "#Result\n", + "print\"Principal Stresses are:\",round(p1,2),\"N/mm**2\"\n", + "print\" :\",round(p2,2),\"N/mm**2\"\n", + "print\"Max shear stresses\",round(q_max,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Principal Stresses are: 60.99 N/mm**2\n", + " : -40.99 N/mm**2\n", + "Max shear stresses 50.99 N/mm**2\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.8,Page No.280" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#stresses\n", + "p_x=-120 #N/mm**2\n", + "p_y=-80 #N/mm**2\n", + "\n", + "q=-60 #N/mm**2 #shear stress\n", + "\n", + "#Calculations\n", + "\n", + "#Principal Stresses\n", + "p1=(p_x+p_y)*2**-1+(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "p2=(p_x+p_y)*2**-1-(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Max shear stress\n", + "q_max=(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Inclination of principal stress to plane\n", + "theta=arctan(2*q*(p_x-p_y)**-1)*(180*pi**-1)#Degrees\n", + "theta2=(theta)*2**-1 #degrees\n", + "\n", + "theta3=(theta+180)*2**-1 #degrees\n", + "\n", + "#Result\n", + "print\"Principal Stresses are:\",round(p1,2),\"N/mm**2\"\n", + "print\" :\",round(p2,2),\"N/mm**2\"\n", + "print\"Max shear stresses\",round(q_max,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Principal Stresses are: -36.75 N/mm**2\n", + " : -163.25 N/mm**2\n", + "Max shear stresses 63.25 N/mm**2\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.9,Page No.282" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#stresses\n", + "p_x=-40 #N/mm**2\n", + "p_y=80 #N/mm**2\n", + "\n", + "q=48 #N/mm**2 #shear stress\n", + "\n", + "#Calculations\n", + "\n", + "#Max shear stress\n", + "q_max=((((p_x-p_y)*2**-1)**2)+q**2)**0.5 #N/mm**2\n", + "\n", + "#Inclination of principal stress to plane\n", + "theta=arctan(2*q*(p_x-p_y)**-1)*(180*pi**-1)#Degrees\n", + "theta2=(theta)*2**-1 #degrees\n", + "\n", + "theta3=(theta+180)*2**-1 #degrees\n", + "\n", + "#Normal Corresponding stress\n", + "p_n=(p_x+p_y)*2**-1+(p_x-p_y)*2**-1*cos(2*(theta2+45)*pi*180**-1)+q*sin(2*(theta2+45)*pi*180**-1) #Degrees\n", + "\n", + "#Resultant stress\n", + "p=((p_n**2+q_max**2)**0.5) #N/mm**2\n", + "\n", + "phi=arctan(p_n*q_max**-1)*(180*pi**-1) #Degrees\n", + "\n", + "#Inclination to the plane\n", + "alpha=round((theta2+45),2)+round(phi ,2)#Degree\n", + "\n", + "#Answer in book is incorrect of alpha ie41.25\n", + "\n", + "#Result\n", + "print\"Planes of max shear stress:\",round(p_n,2),\"N/mm**2\"\n", + "print\" \",round(q_max,2),\"N/mm*2\"\n", + "print\"Resultant Stress is\",round(p,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Planes of max shear stress: 20.0 N/mm**2\n", + " 76.84 N/mm*2\n", + "Resultant Stress is 79.4 N/mm**2\n" + ] + } + ], + "prompt_number": 40 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.10,Page No.283" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Stresses\n", + "p_x=50*cos(35*pi*180**-1)\n", + "q=50*sin(35*pi*180**-1)\n", + "p_y=0\n", + "\n", + "theta=40 #Degrees #Plane AB inclined to vertical\n", + "\n", + "#Calculations\n", + "\n", + "#Normal Stress on AB\n", + "p_n=(p_x+p_y)*2**-1+(p_x-p_y)*2**-1*cos(2*theta*pi*180**-1)+q*sin(2*theta*pi*180**-1)\n", + "\n", + "#Tangential Stress on AB\n", + "p_t=(p_x-p_y)*2**-1*sin(2*theta*pi*180**-1)-q*cos(2*theta*pi*180**-1) #N/mm**2\n", + "\n", + "#Resultant stress\n", + "p=(p_n**2+p_t**2)**0.5 #N/mm**2\n", + "\n", + "#Angle of resultant\n", + "phi=arctan(p_n*p_t**-1)*(180*pi**-1) #degrees\n", + "phi2=phi+theta #Degrees\n", + "\n", + "#Result\n", + "print\"Magnitude of resultant stress is\",round(p,2),\"N/mm**2\"\n", + "print\"Direction of Resultant stress is\",round(phi2,2),\"Degrees\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Magnitude of resultant stress is 54.44 N/mm**2\n", + "Direction of Resultant stress is 113.8 Degrees\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.12,Page No.285" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Direct stresses\n", + "p_x=120 #N/mm**2 #Tensile stress\n", + "p_y=-100 #N/mm**2 #Compressive stress\n", + "p1=160 #N/mm**2 #Major principal stress\n", + "\n", + "#Calculations\n", + "\n", + "#Let q be the shearing stress\n", + "\n", + "#p1=(p_x+p_y)*2**-1+((((p_x+p_y)*2**-1)**2)+q**2)**0.5\n", + "#After further simplifying we get\n", + "q=(p1-((p_x+p_y)*2**-1))**2-((p_x-p_y)*2**-1)**2 #N/mm**2\n", + "q2=(q)**0.5 #N/mm**2\n", + "\n", + "#Minimum Principal stress\n", + "p2=(p_x+p_y)*2**-1-(((p_x-p_y)*2**-1)**2+q2**2)**0.5 #N/mm**2\n", + "\n", + "#Max shearing stress\n", + "q_max=(((p_x-p_y)*2**-1)**2+q2**2)**0.5 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Shearing stress of material\",round(q,2),\"N/mm**2\"\n", + "print\"Min Principal stress\",round(p2,2),\"N/mm**2\"\n", + "print\"Max shearing stress\",round(q_max,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Shearing stress of material 10400.0 N/mm**2\n", + "Min Principal stress -140.0 N/mm**2\n", + "Max shearing stress 150.0 N/mm**2\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.14,Page No.291" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "F=40*10**3 #N #Shear Force\n", + "M=20*10**6 #Bending Moment\n", + "\n", + "#Rectangular section\n", + "b=100 #mm #Width\n", + "d=200 #mm #Depth\n", + "\n", + "x=20 #mm #Distance from Top surface upto point\n", + "y=80 #mm #Distance from point to Bottom\n", + "\n", + "#Calculations\n", + "\n", + "I=1*12**-1*b*d**3 #mm**4 #M.I\n", + "\n", + "#At 20 mm Below top Fibre\n", + "f_x=M*I**-1*y #N/mm**2 #Stress\n", + "\n", + "#Assuming sagging moment ,f_x is compressive p_x=f_x=-24 #N/mm**2\n", + "p_x=f_x=-24 #N/mm**2\n", + "\n", + "#Shearing stress\n", + "q=F*(b*I)**-1*(b*x*(b-x*2**-1)) #N/mm**2\n", + "\n", + "#Direct stresses\n", + "\n", + "p_y=0 #N/mm**2\n", + "\n", + "p1=(p_x+p_y)*2**-1+(((p_x+p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "p2=(p_x+p_y)*2**-1-(((p_x+p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Directions of principal stresses at a point below 20mm is:\",round(p1,2),\"N/mm**2\"\n", + "print\" \",round(p2,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Directions of principal stresses at a point below 20mm is: 0.05 N/mm**2\n", + " -24.05 N/mm**2\n" + ] + } + ], + "prompt_number": 36 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.15,Page No.292" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=4000 #mm #Span\n", + "W1=W2=W3=2*10**3 #N #Load\n", + "\n", + "#SEction of beam\n", + "b=100 #mm #Width\n", + "d=240 #mm #Dept\n", + "\n", + "#Calculations\n", + "\n", + "#Let R_A and R_B be the reactions\n", + "R_A=R_B=(W1+W2+W3)*2**-1 #KN\n", + "\n", + "#Now at the section 1.5m from left support A\n", + "#Shear Force\n", + "F=R_A-W1 #KN\n", + "\n", + "#B.M\n", + "M=R_A*1.5-W1*0.5 #KN-m\n", + "\n", + "#M.I\n", + "I=1*12**-1*b*d**3 #mm**4\n", + "\n", + "#Bending stress\n", + "#f=M*I**-1*y\n", + "#After Sub values and further simplifying we get\n", + "#f=3.04*10**-2*y\n", + "\n", + "#As it varies Linearly\n", + "\n", + "#at distance 0 From NA \n", + "f1=0\n", + "#at distance 60 mm from NA\n", + "f2=1.823 #N/mm**2\n", + "#at distance 120 mm from NA\n", + "f3=3.646 #N/mm**2\n", + "\n", + "#Shearing stress\n", + "q=F*b*d*2**-1*d*4**-1*(b*I)**-1\n", + "\n", + "#At 60 mm above NA\n", + "q2=F*b*d*4**-1*(d*2**-1-d*8**-1)*(b*I)**-1\n", + "\n", + "#At 120 mm above NA\n", + "q3=0 \n", + "\n", + "#At NA element is under pure shear\n", + "p1=q #N/mm**2\n", + "p2=-q #N/mm**2 \n", + "\n", + "#Inclination of principal plane to vertical\n", + "#theta=2*q*0**-1\n", + "#Further simplifying we get\n", + "#theta=infinity\n", + "\n", + "#therefore\n", + "theta=90*2**-1 #degrees\n", + "theta2=270*2**-1 #degrees\n", + "\n", + "#At 60 mm From NA\n", + "p_x=-1.823 #N/mm**2 \n", + "p_y=0\n", + "q=0.0469 #N/mm**2\n", + "\n", + "#principal planes\n", + "P1=(p_x+p_y)*2**-1+(((p_x+p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "P2=(p_x+p_y)*2**-1-(((p_x+p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Principal planes inclination to hte plane of p_x is given by\n", + "theta3=(arctan(2*q*(p_x-p_y)**-1)*(180*pi**-1))\n", + "theta4=theta3*2**-1#degrees\n", + "\n", + "theta5=theta3+180 #Degrees\n", + "\n", + "#At 120 mm From N-A\n", + "p_x2=3.646 #N/mm**2\n", + "p_y2=0 #N/mm**2\n", + "q2=0 #N/mm**2\n", + "\n", + "P3=p_x2 #N/mm**2\n", + "P4=0 #N/mm**2\n", + "\n", + "#Answer for P2 at 60 mm from NA is incorrect\n", + "\n", + "#Result\n", + "print\"Principal Planes at 60 mm from NA:\",round(p_x,2),\"N/mm**2\"\n", + "print\" \",round(p_y,2),\"N/mm**2\"\n", + "print\"Principal Stresses at 60 mm From NA\",round(P1,4),\"N/mm**2\"\n", + "print\" \",round(P2,4),\"N/mm**2\"\n", + "print\"Principal Planes at 60 mm from NA:\",round(p_x2,4),\"N/mm**2\"\n", + "print\" \",round(p_y2,4),\"N/mm**2\"\n", + "print\"Principal Stresses at 60 mm From NA\",round(P3,4),\"N/mm**2\"\n", + "print\" \",round(P4,4),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Principal Planes at 60 mm from NA: -1.82 N/mm**2\n", + " 0.0 N/mm**2\n", + "Principal Stresses at 60 mm From NA 0.0012 N/mm**2\n", + " -1.8242 N/mm**2\n", + "Principal Planes at 60 mm from NA: 3.646 N/mm**2\n", + " 0.0 N/mm**2\n", + "Principal Stresses at 60 mm From NA 3.646 N/mm**2\n", + " 0.0 N/mm**2\n" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.16,Page No.295" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=8000 #mm #Span of beam\n", + "w=40*10**6 #N/mm #udl\n", + "\n", + "#I-section\n", + "\n", + "#Flanges\n", + "b=100 #mm #Width\n", + "t=10 #mm #Thickness\n", + "\n", + "D=400 #mm #Overall Depth\n", + "t2=10 #mm #thickness of web\n", + "\n", + "#Calculations\n", + "\n", + "#Let R_A and R_B be the Reactions at A & B respectively\n", + "R_A=w*2**-1*L*10**-9 #KN\n", + "\n", + "#Shear force at 2m for left support\n", + "F=R_A-2*w*10**-6 #KN\n", + "\n", + "#Bending Moment\n", + "M=R_A*2-2*w*10**-6 #KN-m\n", + "\n", + "#M.I\n", + "I=1*12**-1*b*D**3-1*12**-1*(b-t)*(D-2*t2)**3 #mm**4\n", + "\n", + "#Bending stress at 100 mm above N_A\n", + "f=M*10**6*I**-1*b\n", + "\n", + "#Shear stress \n", + "q=F*10**3*(t*I)**-1*(b*t*(D-t)*2**-1 +t2*(b-t2)*145) #N/mm**2\n", + "\n", + "p_x=-197.06 #N/mm**2 \n", + "p_y=0 #N/mm**2\n", + "q=21.38 #N/mm**2\n", + "\n", + "#Principal Stresses\n", + "\n", + "P1=(p_x+p_y)*2**-1+(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "P2=(p_x+p_y)*2**-1-(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Max shear stress\n", + "q_max=(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Principal Stresses are:\",round(P1,2),\"N/mm**2\"\n", + "print\" \",round(P2,2),\"N/mm**2\"\n", + "print\"Max shear stress\",round(q_max,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Principal Stresses are: 2.29 N/mm**2\n", + " -199.35 N/mm**2\n", + "Max shear stress 100.82 N/mm**2\n" + ] + } + ], + "prompt_number": 48 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.18,Page No.298" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=100 #mm #Diameter of shaft\n", + "M=3*10**6 #N-mm #B.M\n", + "T=6*10**6 #N-mm #Twisting Moment\n", + "mu=0.3\n", + "\n", + "#Calculations\n", + "\n", + "#Max principal Stress\n", + "\n", + "P1=16*(pi*d**3)**-1*(M+(M**2+T**2)**0.5) #N/mm**2 \n", + "P2=16*(pi*d**3)**-1*(M-(M**2+T**2)**0.5) #N/mm**2 \n", + "\n", + "#Direct stress\n", + "P=round(P1,2)-mu*round(P2,2) #N/mm**2 \n", + "\n", + "#Result\n", + "print\"Principal stresses are:\",round(P1,2),\"N/mm**2\"\n", + "print\" :\",round(P2,2),\"N/mm**2\"\n", + "print\"Stress Producing the same strain is\",round(P,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Principal stresses are: 49.44 N/mm**2\n", + " : -18.89 N/mm**2\n", + "Stress Producing the same strain is 55.11 N/mm**2\n" + ] + } + ], + "prompt_number": 51 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.19,Page No.299" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=75 #mm #diameter \n", + "P=30*10**6 #W #Power transmitted\n", + "W=6 #N-mm/sec #Load\n", + "L=1000 #mm \n", + "N=300 #r.p.m\n", + "\n", + "#Calculations\n", + "\n", + "#B.M\n", + "M=W*L*4**-1 #N-mm\n", + "T=P*60*(2*pi*N)**-1 #Torque transmitted\n", + "\n", + "#M.I\n", + "I=pi*64**-1*d**4 #mm**4\n", + "\n", + "#Bending stress\n", + "f_A=M*I**-1*(d*2**-1) #N/mm**2\n", + "\n", + "#At A\n", + "p_x=f_A\n", + "p_y=0\n", + "\n", + "#Polar Modulus\n", + "J=pi*32**-1*d**4 #mm**4\n", + "\n", + "#Shearing stress\n", + "q=T*J**-1*(d*2**-1) #N/mm**2\n", + "\n", + "#Principal Stresses\n", + "P1=(p_x+p_y)*2**-1+(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "P2=(p_x+p_y)*2**-1-(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Max shear stress\n", + "q_max=(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Bending stress\n", + "p_x2=0\n", + "p_y2=0\n", + "\n", + "#Shearing stress\n", + "q2=T*J**-1*d*2**-1 #N/mm**2\n", + "\n", + "#Principal stresses\n", + "P3=(p_x2+p_y2)*2**-1+(((p_x2-p_y2)*2**-1)**2+q2**2)**0.5 #N/mm**2\n", + "P4=(p_x2+p_y2)*2**-1-(((p_x2-p_y2)*2**-1)**2+q2**2)**0.5 #N/mm**2\n", + "\n", + "#Max shear stress\n", + "q_max2=(((p_x2-p_y2)*2**-1)**2+q2**2)**0.5 #N/mm**2\n", + "\n", + "#Answer for Principal Stresses P1,P2 and Max stress i.e q_max is incorrect in Book\n", + "\n", + "#Result\n", + "print\"Principal Stresses at vertical Diameter:P1\",round(P1,2),\"N/mm**2\"\n", + "print\" :P2\",round(P2,2),\"N/mm**2\"\n", + "print\"Max stress at vertical Diameter : \",round(q_max,2),\"N/mm**2\"\n", + "print\"Principal Stresses at Horizontal Diameter:P3\",round(P3,2),\"N/mm**2\"\n", + "print\" :P4\",round(P4,2),\"N/mm**2\"\n", + "print\"Max stress at Horizontal Diameter : \",round(q_max2,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Principal Stresses at vertical Diameter:P1 11.55 N/mm**2\n", + " :P2 -11.51 N/mm**2\n", + "Max stress at vertical Diameter : 11.53 N/mm**2\n", + "Principal Stresses at Horizontal Diameter:P3 11.53 N/mm**2\n", + " :P4 -11.53 N/mm**2\n", + "Max stress at Horizontal Diameter : 11.53 N/mm**2\n" + ] + } + ], + "prompt_number": 20 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.20,Page No.302" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d1=100 #mm #External Diameter\n", + "d2=50 #mm #Internal Diameter\n", + "N=500 #mm #r.p.m\n", + "P=60*10**6 #N-mm/sec #Power\n", + "p=100 #N/mm**2 #principal stress\n", + "\n", + "#Calculations\n", + "\n", + "#M.I\n", + "I=pi*(d1**4-d2**4)*64**-1 #mm**4\n", + "\n", + "#Bending Stress\n", + "#f=M*I*d1*2**-1 #N/mm**2\n", + "\n", + "#Principal Planes\n", + "#p_x=32*M*(pi*(d1**4-d2**4))*d1\n", + "#p_y=0\n", + "\n", + "#Shear stress\n", + "#q=T*J**-1*(d1*2**-1)\n", + "#After sub values and further simplifying we get\n", + "#q=16*T*d1*(pi*(d1**4-d2**4))*d1\n", + "\n", + "#Principal stresses\n", + "#P1=(p_x+p_y)*2**-1+(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "#After sub values and further simplifying we get\n", + "#P1=16*(pi*(d1**4-d2**4))*d1*(M+(M**2+t**2)**0.5) ...............(1)\n", + "\n", + "#P=2*pi*N*T*60**-1\n", + "#After sub values and further simplifying we get\n", + "T=P*60*(2*pi*N)**-1*10**-6 #N-mm\n", + "\n", + "#Again Sub values and further simplifying Equation 1 we get\n", + "M=(337.533)*(36.84)**-1 #KN-m\n", + "\n", + "#Min Principal stress\n", + "#P2=(p_x+p_y)*2**-1-(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "#Sub values and further simplifying we get\n", + "P2=16*(pi*(d1**4-d2**4))*d1*(M-(M**2+T**2)**0.5)*10**-11\n", + "\n", + "#Result\n", + "print\"Bending Moment safely applied to shaft is\",round(M,2),\"KN-m\"\n", + "print\"Min Principal Stress is\",round(P2,3),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Bending Moment safely applied to shaft is 9.16 KN-m\n", + "Min Principal Stress is -0.336 N/mm**2\n" + ] + } + ], + "prompt_number": 32 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.21,Page No.303" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=150 #mm #Diameter\n", + "T=20*10**6 #N #Torque\n", + "M=12*10**6 #N-mm #B.M\n", + "F=200*10**3 #N #Axial Thrust\n", + "\n", + "#Calculations\n", + "\n", + "#M.I\n", + "I=(pi*64**-1*d**4)\n", + "\n", + "#Bending stress \n", + "f_A=M*I**-1*(d*2**-1) #N/mm**2\n", + "f_B=-f_A #N/mm**2\n", + "\n", + "#Axial thrust due to thrust\n", + "sigma=F*(pi*4**-1*d**2)**-1\n", + "\n", + "#At A\n", + "p_x=f_A-sigma #N/mm**2\n", + "\n", + "#At B\n", + "p_x2=f_B-sigma #N/mm**2\n", + "\n", + "p_y=0 #At A and B\n", + "\n", + "#Polar Modulus\n", + "J=pi*32**-1*d**4 #mm**4\n", + "\n", + "#Shearing stress at A and B\n", + "q=T*J**-1*(d*2**-1) #N/mm**2\n", + "\n", + "\n", + "#Principal Stresses\n", + "#At A\n", + "P1=(p_x+p_y)*2**-1+(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "P2=(p_x+p_y)*2**-1-(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Max shear stress\n", + "q_max1=(((p_x-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#At B\n", + "P1_2=(p_x2+p_y)*2**-1+(((p_x2-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "P2_2=(p_x2+p_y)*2**-1-(((p_x2-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "#Max shear stress\n", + "q_max2=(((p_x2-p_y)*2**-1)**2+q**2)**0.5 #N/mm**2\n", + "\n", + "\n", + "#Result\n", + "print\"MAx Principal Stresses:P1\",round(P1,2),\"N/mm**2\"\n", + "print\" :P2\",round(P2,2),\"N/mm**2\"\n", + "print\"Min Principal Stresses:P1_2\",round(P1_2,2),\"N/mm**2\"\n", + "print\" :P2_2\",round(P2_2,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "MAx Principal Stresses:P1 45.1 N/mm**2\n", + " :P2 -20.2 N/mm**2\n", + "Min Principal Stresses:P1_2 14.65 N/mm**2\n", + " :P2_2 -62.18 N/mm**2\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.22,Page No.311" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#strains\n", + "e_A=500 #microns\n", + "e_B=250 #microns\n", + "e_C=-150 #microns\n", + "E=2*10**5 #N/mm**2 #Modulus of Elasticity\n", + "mu=0.3 #Poissoin's ratio\n", + "theta=45 #Degrees\n", + "\n", + "#Calculations\n", + "\n", + "e_x=e_A=500\n", + "e_45=e_B=250\n", + "e_y=e_C=-150 \n", + "\n", + "#e_45=(e_x+e_y)*2**-1+(e_x-e_y)*2**-1*cos(2*theta)+rho_x_y*2**-1*sin(2*theta)\n", + "#After sub values and further simplifying we get\n", + "rho_x_y=(e_45-(e_x+e_y)*2**-1-(e_x-e_y)*2**-1*cos(2*theta*pi*180**-1))*(sin(2*theta*pi*180**-1))**-1*2\n", + "\n", + "#Principal strains are given by\n", + "e1=(e_x+e_y)*2**-1+(((e_x-e_y)*2**-1)**2+(rho_x_y*2**-1)**2)**0.5 #microns\n", + "e2=(e_x+e_y)*2**-1-(((e_x-e_y)*2**-1)**2+(rho_x_y*2**-1)**2)**0.5 #microns\n", + "\n", + "#Principal Stresses\n", + "sigma1=E*(e1+mu*e2)*(1-mu**2)**-1*10**-6 #N/mm**2\n", + "sigma2=E*(e2+mu*e1)*(1-mu**2)**-1*10**-6 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Principal Strains are:e1\",round(e1,2),\"N/mm**2\"\n", + "print\" :e2\",round(e2,2),\"N/mm**2\"\n", + "print\"Principal Stresses are:sigma1\",round(sigma1,2),\"N/mm**2\"\n", + "print\" :sigma2\",round(sigma2,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Principal Strains are:e1 508.54 N/mm**2\n", + " :e2 -158.54 N/mm**2\n", + "Principal Stresses are:sigma1 101.31 N/mm**2\n", + " :sigma2 -1.31 N/mm**2\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example No.7.23,Page No.313" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Strains\n", + "e_A=600 #microns\n", + "e_B=-450 #microns\n", + "e_C=100 #micron\n", + "E=2*10**5 #N/mm**2 #Modulus of Elasticity\n", + "mu=0.3 #Poissoin's ratio\n", + "theta=240\n", + "\n", + "#Calculations\n", + "\n", + "e_x=e_A=600\n", + "\n", + "#e_A=(e_x+e_y)*2**-1+(e_x-e_y)*2**-1*cos(theta)+rho_x_y*2**-1*sin(theta)\n", + "#After sub values and further simplifying we get\n", + "#-450=(e_x+e_y)*2**-1-(e_x-e_y)*2**-1*(0.5)-0.866*2**-1*rho_x_y .....................(1)\n", + "\n", + "#e_C=(e_x+e_y)*2**-1+(e_x-e_y)*2**-1*cos(2*theta)+rho_x_y*2**-1*sin(2*theta)\n", + "#After sub values and further simplifying we get\n", + "#100=(e_x+e_y)*2**-1-0.5*(e_x-e_y)*2**-1*(0.5)-0.866*2**-1*rho_x_y .....................(2)\n", + "\n", + "#Adding Equation 1 and 2 we get equations as\n", + "#-350=e_x+e_y-(e_x-e_y)*2**-1 ...............(3)\n", + "#Further simplifying we get\n", + "\n", + "e_y=(-700-e_x)*3**-1 #micron \n", + "\n", + "rho_x_y=(e_C-(e_x+e_y)*2**-1-(e_x-e_y)*2**-1*cos(2*theta*pi*180**-1))*(sin(2*theta*pi*180**-1))**-1*2 #micron\n", + "\n", + "#Principal strains\n", + "e1=(e_x+e_y)*2**-1-(((e_x-e_y)*2**-1)**2+(rho_x_y*2**-1)**2)**0.5 #microns\n", + "e2=(e_x+e_y)*2**-1+(((e_x-e_y)*2**-1)**2+(rho_x_y*2**-1)**2)**0.5 #microns\n", + "\n", + "#Principal Stresses\n", + "sigma1=E*(e1+mu*e2)*(1-mu**2)**-1*10**-6 #N/mm**2\n", + "sigma2=E*(e2+mu*e1)*(1-mu**2)**-1*10**-6 #N/mm**2\n", + "\n", + "\n", + "#Result\n", + "print\"Principal Stresses are:sigma1\",round(sigma1,2),\"N/mm**2\"\n", + "print\" :sigma2\",round(sigma2,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Principal Stresses are:sigma1 -69.49 N/mm**2\n", + " :sigma2 117.11 N/mm**2\n" + ] + } + ], + "prompt_number": 18 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_1.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_1.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_5.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_5.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_6.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_6.ipynb new file mode 100644 index 00000000..08f57912 --- /dev/null +++ b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.8_6.ipynb @@ -0,0 +1,1527 @@ +{ + "metadata": { + "name": "chapter no.8.ipynb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter No.8:Thin And Thick Cyclinders And Spheres" + ] + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.1,Page No.322" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=3000 #mm #Length\n", + "d1=1000 #mm #Internal diameter\n", + "t=15 #mm #Thickness\n", + "P=1.5 #N/mm**2 #Fluid Pressure\n", + "E=2*10**5 #n/mm**2 #Modulus of elasticity\n", + "mu=0.3 #Poissoin's ratio\n", + "\n", + "#Calculations\n", + "\n", + "#Hoop stress\n", + "f1=P*d1*(2*t)**-1 #N/mm**2\n", + "\n", + "#Longitudinal Stress\n", + "f2=P*d1*(4*t)**-1 #N/mm**2\n", + "\n", + "#Max shear stress\n", + "q_max=(f1-f2)*2**-1 #N/mm**2\n", + "\n", + "#Diametrical Strain\n", + "#Let e1=dell_d*d**-1 .....................(1)\n", + "e1=(f1-mu*f2)*E**-1 \n", + "\n", + "#Sub values in equation 1 and further simplifying we get\n", + "dell_d=e1*d1 #mm\n", + "\n", + "#Longitudinal strain\n", + "#e2=dell_L*L**-1 ......................(2)\n", + "e2=(f2-mu*f1)*E**-1 \n", + "\n", + "#Sub values in equation 2 and further simplifying we get\n", + "dell_L=e2*L #mm\n", + "\n", + "#Change in Volume \n", + "#Let Z=dell_V*V**-1 ................(3)\n", + "Z=2*e1+e2\n", + "\n", + "#Sub values in equation 3 and further simplifying we get\n", + "dell_V=Z*pi*4**-1*d1**2*L\n", + "\n", + "#Result\n", + "print\"Max Intensity of shear stress\",round(q_max,2),\"N/mm**2\"\n", + "print\"Change in the Dimensions of the shell is:dell_d\",round(dell_d,2),\"mm\"\n", + "print\" :dell_L\",round(dell_L,2),\"mm\"\n", + "print\" :dell_V\",round(dell_V,2),\"mm**3\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max Intensity of shear stress 12.5 N/mm**2\n", + "Change in the Dimensions of the shell is:dell_d 0.21 mm\n", + " :dell_L 0.15 mm\n", + " :dell_V 1119192.38 mm**3\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.2,Page No.323" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=2000 #mm #Length\n", + "d=200 #mm # diameter\n", + "t=10 #mm #Thickness\n", + "dell_V=25000 #mm**3 #Additional volume\n", + "E=2*10**5 #n/mm**2 #Modulus of elasticity\n", + "mu=0.3 #Poissoin's ratio\n", + "\n", + "#Calculations\n", + "\n", + "#Let p be the pressure developed\n", + "\n", + "#Circumferential Stress\n", + "\n", + "#f1=p*d*(2*t)**-1 #N/mm**2\n", + "#After sub values and further simplifying\n", + "#f1=10*p\n", + "\n", + "#f1=p*d*(4*t)**-1 #N/mm**2\n", + "#After sub values and further simplifying\n", + "#f1=5*p\n", + "\n", + "#Diameterical strain = Circumferential stress\n", + "#Let X=dell_d*d**-1 ................................(1)\n", + "#X=e1=(f1-mu*f2)*E**-1 \n", + "#After sub values and further simplifying\n", + "#e1=8.5*p*E**-1\n", + "\n", + "#Longitudinal strain\n", + "#Let Y=dell_L*L**-1 ......................................(2)\n", + "#Y=e2=(f2-mu*f1)*E**-1 \n", + "#After sub values and further simplifying\n", + "#e2=2*p*E**-1\n", + "\n", + "#Volumetric strain\n", + "#Let X=dell_V*V**-1 \n", + "#X=2*e1+e2\n", + "#After sub values and further simplifying\n", + "#X=19*p*E**-1\n", + "#After further simplifying we get\n", + "p=dell_V*(pi*4**-1*d**2*L)**-1*E*19**-1 #N/mm**2\n", + "\n", + "#Hoop Stress\n", + "f1=p*d*(2*t)**-1\n", + "\n", + "X=e1=8.5*p*E**-1\n", + "#Sub value of X in equation 1 we get\n", + "dell_d=8.5*p*E**-1*d\n", + "\n", + "Y=e2=2*p*E**-1\n", + "#Sub value of Y in equation 2 we get\n", + "dell_L=2*p*E**-1*L\n", + "\n", + "#Result\n", + "print\"Pressure Developed is\",round(p,2),\"N/mm**2\"\n", + "print\"Hoop stress Developed is\",round(f1,2),\"N/mm**2\"\n", + "print\"Change in diameter is\",round(dell_d,2),\"mm\"\n", + "print\"Change in Length is\",round(dell_L,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Pressure Developed is 4.19 N/mm**2\n", + "Hoop stress Developed is 41.88 N/mm**2\n", + "Change in diameter is 0.04 mm\n", + "Change in Length is 0.08 mm\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.3,Page No.324" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=750 #mm #Diameter of water supply pipes\n", + "h=50*10**3 #mm #Water head\n", + "sigma=20 #N/mm**2 #Permissible stress\n", + "rho=9810*10**-9 #N/mm**3\n", + "\n", + "#Calculations\n", + "\n", + "#Pressure of water\n", + "P=rho*h #N/mm**2\n", + "\n", + "#Stress\n", + "#sigma=p*d*(2*t)**-1\n", + "#After further simplifying\n", + "t=P*d*(2*sigma)**-1 #mm \n", + "\n", + "#Result\n", + "print\"Thickness of seamless pipe is\",round(t,3),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of seamless pipe is 9.197 mm\n" + ] + } + ], + "prompt_number": 37 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.4,Page No.326" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=2500 #mm #Diameter of riveted boiler\n", + "P=1 #N/mm**2 #Pressure\n", + "rho1=0.7 #Percent efficiency\n", + "rho2=0.4 #Circumferential joints\n", + "sigma=150 #N/mm**2 #Permissible stress\n", + "\n", + "#Calculations\n", + "\n", + "#Equating Bursting force to longitudinal joint strength ,we get\n", + "#p*d*L=rho1*2*t*L*sigma\n", + "#After rearranging and further simplifying we get\n", + "t=P*d*(2*sigma*rho1)**-1 #mm\n", + "\n", + "#Considering Longitudinal force\n", + "#pi*d**2*4**-1*P=rho2*pi*d*t*sigma\n", + "#After rearranging and further simplifying we get\n", + "t2=P*d*(4*sigma*rho2)**-1\n", + "\n", + "#Result\n", + "print\"Thickness of plate required is\",round(t,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness of plate required is 11.9 mm\n" + ] + } + ], + "prompt_number": 45 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.5,Page No.326" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Boiler Dimensions\n", + "t=16 #mm #Thickness\n", + "p=2 #N/mm**2 #internal pressure\n", + "f=150 #N/mm**2 #Permissible stress\n", + "rho1=0.75 #Longitudinal joints\n", + "rho2=0.45 #circumferential joints\n", + "\n", + "#Calculations\n", + "\n", + "#Equating Bursting force to longitudinal joint strength ,we get\n", + "d1=rho1*2*t*f*p**-1 #mm\n", + "\n", + "#Considering circumferential strength \n", + "d2=4*rho2*t*f*p**-1 #mm\n", + "\n", + "#Result\n", + "print\"Largest diameter of Boiler is\",round(d1,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Largest diameter of Boiler is 1800.0 mm\n" + ] + } + ], + "prompt_number": 52 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.6,Page No.329" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=250 #mm #Diameter iron pipe\n", + "t=10 #mm #Thickness\n", + "d2=6 #mm #Diameter of steel\n", + "p=80 #N/mm**2 #stress\n", + "P=3 #N/mm**2 #Pressure\n", + "E_c=1*10**5 #N/mm**2\n", + "mu=0.3 #poissoin's ratio\n", + "E_s=2*10**5 #N/mm**2\n", + "n=1 #No.of wires\n", + "\n", + "#Calculations\n", + "\n", + "L=6 #mm #Length of cyclinder\n", + "\n", + "#Force Exerted by steel wire at diameterical section\n", + "F=p*2*pi*d2**2*1*4**-1 #N\n", + "\n", + "#Initial stress in cyclinder\n", + "f_c=F*(2*t*d2)**-1 #N/mm**2\n", + "\n", + "#LEt due to fluid pressure alone stresses developed in steel wire be F_w and in cyclinder f1 and f2\n", + "f2=P*d*(4*t)**-1 #N/mm**2\n", + "\n", + "#Considering the equilibrium of half the cyclinder, 6mm long we get\n", + "#F_w*2*pi*4**-1*d2**2*n+f1*2*t*d2=P*d*d2\n", + "#After further simplifying we get\n", + "#F_w+2.122*f1=79.58 . ......................................(1)\n", + "\n", + "#Equating strain in wire to circumferential strain in cyclinder \n", + "#F_w=(f1-mu*f2)*E_s*E_c**-1 #N/mm**2\n", + "#After further simplifying we get\n", + "#F_w=2*f1-11.25 ....................................(2)\n", + "\n", + "#Sub in equation in1 we get\n", + "f1=(79.58+11.25)*(4.122)**-1 #N/mm**2\n", + "F_w=2*f1-11.25 #N/mm**2\n", + "\n", + "#Final stresses\n", + "#1) In steel Wire\n", + "sigma=F_w+p #N/mm**2\n", + "\n", + "#2) In Cyclinder\n", + "sigma2=f1-f_c\n", + "\n", + "#Result\n", + "print\"Final Stresses developed in:cyclinder is\",round(sigma,2),\"N/mm**2\"\n", + "print\" :Steel is\",round(sigma2,2),\"N/mm**2\" " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Final Stresses developed in:cyclinder is 112.82 N/mm**2\n", + " :Steel is -15.66 N/mm**2\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.7,Page No.332" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=750 #mm #Diameter of shell\n", + "t=8 #mm #THickness\n", + "p=2.5 #N/mm**2\n", + "E=2*10**5 #N/mm**2\n", + "mu=0.25 #Poissoin's ratio\n", + "\n", + "#Calculations\n", + "\n", + "#Hoop stress\n", + "f1=f2=p*d*(4*t)**-1 #N/mm**2\n", + "\n", + "#Change in Diameter\n", + "dell_d=d*p*d*(1-mu)*(4*t*E)**-1 #mm\n", + "\n", + "#Change in Volume\n", + "dell_V=3*p*d*(1-mu)*(4*t*E)**-1*pi*6**-1*d**3\n", + "\n", + "#Answer for Change in diameter is incorrect in book\n", + "\n", + "#Result\n", + "print\"Stress introduced is\",round(f1,2),\"N/mm**2\"\n", + "print\"Change in Diameter is\",round(dell_d,2),\"N/mm**2\"\n", + "print\"Change in Volume is\",round(dell_V,2),\"mm**3\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stress introduced is 58.59 N/mm**2\n", + "Change in Diameter is 0.16 N/mm**2\n", + "Change in Volume is 145608.33 mm**3\n" + ] + } + ], + "prompt_number": 56 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.8,Page No.333" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d=600 #mm #Diameter of sherical shell\n", + "t=10 #mm #Thickness\n", + "f=80 #N/mm**2 #Permissible stress\n", + "rho=0.75 #Efficiency joint\n", + "\n", + "#Calculations\n", + "\n", + "#Max Pressure\n", + "p=f*4*t*rho*d**-1 #N/mm**2\n", + "\n", + "#Result\n", + "print\"Max Pressure is\",round(p,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max Pressure is 4.0 N/mm**2\n" + ] + } + ], + "prompt_number": 60 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.9,Page No.333" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=1000 #mm #Length of shell\n", + "d=200 #mm #Diameter\n", + "t=6 #mm #Thickness\n", + "p=1.5 #N/mm**2 #Internal Pressure\n", + "E=2*10**5 #N/mm**2\n", + "mu=0.25 #Poissoin's Ratio\n", + "\n", + "#Calculations\n", + "\n", + "#Change in Volume of sphere\n", + "dell_V_s=3*p*d*(1-mu)*(4*t*E)**-1*pi*6**-1*d**3\n", + "\n", + "#Hoop stress\n", + "f1=p*d*(2*t)**-1 #N/mm**2\n", + "\n", + "#Longitudinal stress\n", + "f2=p*d*(4*t)**-1 #N/mm**2\n", + "\n", + "#Principal strain\n", + "e1=(f1-mu*f2)*E**-1\n", + "e2=(f2-mu*f1)*E**-1\n", + "\n", + "V_c=1000 #mm**3\n", + "\n", + "#Change in Volume of cyclinder\n", + "dell_V_c=(2*e1+e2)*pi*4**-1*d**2*L\n", + "\n", + "#Total Change in Diameter\n", + "dell_V=dell_V_s+dell_V_c #mm**3\n", + "\n", + "#Result\n", + "print\"Change in Volume is\",round(dell_V,2),\"mm**3\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Change in Volume is 8443.03 mm**3\n" + ] + } + ], + "prompt_number": 66 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.10,Page No.337" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d1=400 #mm #Internal Diameter\n", + "t=100 #mm #Thickness\n", + "p=80 #N/mm**2 #Fluid pressure\n", + "\n", + "\n", + "#Calculations\n", + "\n", + "#Internal Radius\n", + "r1=d1*2**-1 #mm\n", + "\n", + "#Outer Radius\n", + "r_o=r1+t #mm\n", + "\n", + "p1=80 #N/mm**2\n", + "p2=0\n", + "\n", + "#Now From Lame's Euation\n", + "#p_x=b*(x**2)**-1-a\n", + "#at x=200 #mm \n", + "p_x=80 #N/mm**2\n", + "#80=b*(200**2)**-1-a ..........................(1)\n", + "\n", + "#at x=300 #mm\n", + "#p_x2=0\n", + "#0=b*(300**2)**-1-a ...........................(2)\n", + "\n", + "#Sub equation 2 from 1\n", + "#80=b*(200**2)**-1-b*(300**2)**-1\n", + "#After Further simplifying we get\n", + "b=(50000)**-1*(200**2*300**2*80)\n", + "\n", + "#From equation 2 we get\n", + "a=b*(300**2)**-1\n", + "\n", + "#Variation of radial pressure p_x;\n", + "#p_x=b*(x**2)**-1-a\n", + "#After sub values and further simplifying we get\n", + "\n", + "#Radial pressure Variation\n", + "#At \n", + "x=200 #mm\n", + "p_x=b*(x**2)**-1-a #N/mm**2\n", + "\n", + "#At\n", + "x2=250 #mm\n", + "p_x2=b*(x2**2)**-1-a #N/mm**2\n", + "\n", + "#At \n", + "x3=300 #mm\n", + "p_x3=b*(x3**2)**-1-a #N/mm**2\n", + "\n", + "\n", + "#Hoop stress Distribution\n", + "#Variation of F_x\n", + "\n", + "#At \n", + "x=200 #mm\n", + "F_x=b*(x**2)**-1+a #N/mm**2\n", + "\n", + "#At\n", + "x2=250 #mm\n", + "F_x2=b*(x2**2)**-1+a #N/mm**2\n", + "\n", + "#At\n", + "x3=300 #mm\n", + "F_x3=b*(x3**2)**-1+a #N/mm**2\n", + "\n", + "#Result\n", + "print\"Max Hoop stress is\",round(F_x,2),\"N/mm**2\"\n", + "print\"Min Hoop stress is\",round(F_x3,2),\"N/mm**2\"\n", + "print\"Plot of Hoop stress\"\n", + "\n", + "#Plotting Variation of hoop stress\n", + "\n", + "X1=[x,x2,x3]\n", + "Y1=[p_x,p_x2,p_x3]\n", + "Y2=[-F_x,-F_x2,-F_x3]\n", + "Z1=[0,0,0]\n", + "plt.plot(X1,Y1,X1,Y2,X1,Z1)\n", + "plt.xlabel(\"Length x in mm\")\n", + "plt.ylabel(\"Radial Stress Distribution & Hoop Stress Distribution in N/mm**2\")\n", + "plt.show()\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max Hoop stress is 208.0 N/mm**2\n", + "Min Hoop stress is 128.0 N/mm**2\n", + "Plot of Hoop stress\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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skdWFW7ZsQffu3XH8+HGMGzcOY8aMAaA9wnfKlCkIDg7GmDFjEBcXJ7WK4uLi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\ngoI65UuXLpVWy7///vuws7P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+ "text": [ + "" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.11,Page No.338" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d_o=300 #mm #Outside diameter \n", + "d2=200 #mm #Internal Diameter\n", + "p=14 #N/mm**2 #internal Fluid pressure\n", + "t=50 #mm #Thickness\n", + "r_o=150 #mm #Outside Diameter\n", + "r2=100 #mm #Internal Diameter\n", + "\n", + "#Calculations\n", + "\n", + "#From Lame's Equation\n", + "#p_x=b*(x**2)**-1-a #N/mm**2 ...................(1)\n", + "#F_x=b*(x**2)**-1+a #N/mm**2 ...................(2)\n", + "\n", + "#At \n", + "x=r2=100 #mm\n", + "p_x=14 #N/mm**2\n", + "\n", + "#Sub value of p_x in equation 1 we get\n", + "#14=(100)**-1*b-a ............................(3)\n", + "\n", + "#At\n", + "x2=r_o=150 #mm\n", + "p_x2=0 #N/mm**2\n", + "\n", + "#Sub value in equation 1 we get\n", + "#0=b*(150**2)**-1-a ......................(4)\n", + "\n", + "#From Equations 3 and 4 we get\n", + "#14=b*(100**2)**-1-b*(100**2)**-1\n", + "#After sub values and further simplifying we get\n", + "b=14*100**2*150**2*(150**2-100**2)**-1\n", + "\n", + "#From equation 4 we get\n", + "a=b*(150**2)**-1\n", + "\n", + "#Hoop Stress\n", + "#F_x=b*(x**2)**-1+a #N/mm**2\n", + "\n", + "#At \n", + "x=100 #mm\n", + "F_x=b*(x**2)**-1+a #N/mm**2\n", + "\n", + "#At\n", + "x2=125 #mm\n", + "F_x2=b*(x2**2)**-1+a #N/mm**2\n", + "\n", + "#At\n", + "x3=150 #mm\n", + "F_x3=b*(x3**2)**-1+a #N/mm**2\n", + "\n", + "#If thin Cyclindrical shell theory is used,hoop stress is uniform and is given by\n", + "F=p*d2*(2*t)**-1 #N/mm**2\n", + "\n", + "#Percentage error in estimating max hoop tension\n", + "E=(F_x-F)*F_x**-1*100 #%\n", + "\n", + "#Result\n", + "print\"Max Hoop Stress Developed in the cross-section is\",round(F,2),\"N/mm**2\"\n", + "print\"Plot of Variation of hoop stress\"\n", + "\n", + "#Plotting Variation of hoop stress\n", + "\n", + "X1=[x,x2,x3]\n", + "Y1=[F_x,F_x2,F_x3]\n", + "Z1=[0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in mm\")\n", + "plt.ylabel(\"Radial Stress Distribution & Hoop Stress Distribution in N/mm**2\")\n", + "plt.show()\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Max Hoop Stress Developed in the cross-section is 28.0 N/mm**2\n", + "Plot of Variation of hoop stress\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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29vaQJAknTpx4bAP379/HiBEjMGzYMMycOdNwT41GA1dXV2RkZGDgwIEcMiIi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\nPj6ws7NDUlKS0fvr27OYO3c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+ "text": [ + "" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.12,Page No.339" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d_o=300 #mm #Outside diameter \n", + "d2=200 #mm #Internal Diameter\n", + "p=12 #N/mm**2 #internal Fluid pressure\n", + "F_max=16 #N/mm**2 #Tensile stress\n", + "r_o=150 #mm #Outside Diameter\n", + "r2=100 #mm #Internal Diameter\n", + "\n", + "#Calculations\n", + "\n", + "#Let p_o be the External Pressure applied.\n", + "#From LLame's theorem\n", + "#p_x=b*(x**2)**-1-a ..............(1)\n", + "#F_x=b*(x**2)**-1+a ...........................(2)\n", + "\n", + "#Now At\n", + "x=100 #mm\n", + "p_x=12 #N/mm**2\n", + "#sub in equation 1 we get\n", + "#12=b*(100**2)**-1-a . ..................(3)\n", + "\n", + "#The Max Hoop stress occurs at least value of x where\n", + "x=r1=100 #mm\n", + "#16=b*(100**2)**-1+a .......................(4)\n", + "\n", + "#From Equations 1 and 2 we get\n", + "#28=b*(100**2)**-1+b*(100**2)**-1\n", + "#After furhter Simplifying we get\n", + "b=28*100**2*2**-1\n", + "\n", + "#sub in equation 1 we get\n", + "a=-(12-(b*(100**2)**-1))\n", + "\n", + "#Thus At\n", + "x2=150 #mm\n", + "p_o=b*(x2**2)**-1-a\n", + "\n", + "#Result\n", + "print\"Minimum External applied is\",round(p_o,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Minimum External applied is 4.22 N/mm**2\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.13,Page No.340" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d1=160 #mm #Internal Diameter \n", + "r1=80 #mm #External Diameter\n", + "p1=40 #N/mm**2 #Internal Diameter\n", + "P_max=120 #N/mm**2 #Allowable stress\n", + "\n", + "#Calculations\n", + "\n", + "#From Lame's Equation we have\n", + "#p_x=b*(x**2)**-1-a ..........................(1)\n", + "#F_x=b*(x**2)**-1+a ...........................(2)\n", + "\n", + "#At \n", + "x=r1=80 #N/mm**2 \n", + "#Sub in equation 1 we get\n", + "#120=b*(80**2)**-1+a ........................(3)\n", + "\n", + "#The hoop tension at inner edge is max stress\n", + "#Hence\n", + "#120=b*(80**2)**-1+a .............................(4)\n", + "\n", + "#From Equation 3 and 4 we get\n", + "b=160*80**2*2**-1 \n", + "\n", + "#Sub in equation 3 we get\n", + "a=-(40-(b*(80**2)**-1))\n", + "\n", + "#Let External radius be r_o.Since at External Surface is Zero,we get\n", + "#0=b*(r_o)**-1-a\n", + "#After Further simplifying we get\n", + "r_o=(b*a**-1)**0.5\n", + "\n", + "#Thickness of Cyclinder \n", + "t=r_o-r1 #mm\n", + "\n", + "#Result\n", + "print\"Thickness Required is\",round(t,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Thickness Required is 33.14 mm\n" + ] + } + ], + "prompt_number": 31 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.14,Page No.341" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d_o=300 #mm #Outside diameter \n", + "d1=180 #mm #Internal Diameter\n", + "p=12 #N/mm**2 #internal Fluid pressure\n", + "p_o=6 #N/mm**2 #External Pressure\n", + "r_o=150 #mm #Outside Diameter\n", + "r=90 #mm #Internal Diameter\n", + "\n", + "\n", + "#Calculations\n", + "\n", + "#From Lame's Equation we have\n", + "#p_x=b*(x**2)**-1-a ..........................(1)\n", + "#F_x=b*(x**2)**-1+a ...........................(2)\n", + "\n", + "#At \n", + "x=r1=90 #N/mm**2 \n", + "p=42 #N/mm**2\n", + "#Sub in equation 1 we get\n", + "#42=b*(90**2)**-1-a ..............................(3)\n", + "\n", + "#At \n", + "x=r_o=150 #mm\n", + "p2=6 #N/mm**2\n", + "#sub in equation 1 we get\n", + "#6=b*(150**2)**-1-a ..............................(4)\n", + "\n", + "#From equations 3 and 4 weget\n", + "#36=b*(90**2)**-1-b2(150**2)**-1\n", + "#After further simplifying we get\n", + "b=36*90**2*150**2*(150**2-90**2)**-1\n", + "\n", + "#Sub value of b in equation 4 we get\n", + "a=b*(150**2)**-1-p_o\n", + "\n", + "#At \n", + "x=r1=90 #mm\n", + "F_x=b*(x**2)**-1+a #N/mm**2\n", + "\n", + "#At \n", + "x2=r_o=150 #mm \n", + "F_x2=b*(x2**2)**-1+a #N/mm**2\n", + "\n", + "#Now if External pressure is doubled i.e p_o2=12 #N/mm**2 We have\n", + "p_o2=12 #N/mm**2\n", + "#sub in equation 4 we get\n", + "#12=b2*(150**2)**-1-a2 ..........................(5)\n", + "\n", + "#Max Hoop stress is to be 70.5 #N/mm**2,which occurs at x=r1=90 #mm\n", + "#Sub in equation 4 we get\n", + "#70.5=b*(90**2)**-1+a2 ................................(6)\n", + "\n", + "#Adding equation 5 and 6\n", + "#82.5=b2*(150**2)**-1+b*(90**2)**-1\n", + "#After furhter simplifying we get\n", + "b2=82.5*150**2*90**2*(150**2+90**2)**-1\n", + "\n", + "#Sub in equation 5 we get\n", + "a2=b2*(150**2)**-1-12 \n", + "\n", + "#If p_i is the internal pressure required then from Lame's theorem\n", + "p_i=b2*(r1**2)**-1-a2\n", + "\n", + "#Result\n", + "print\"Stresses int the material are:F_x\",round(F_x,2),\"N/mm**2\"\n", + "print\" :F_x2\",round(F_x2,2),\"N/mm**2\"\n", + "print\"Internal Pressure that can be maintained is\",round(p_i,2),\"N/mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stresses int the material are:F_x 70.5 N/mm**2\n", + " :F_x2 34.5 N/mm**2\n", + "Internal Pressure that can be maintained is 50.82 N/mm**2\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.15,Page No.344" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "r1=200 #mm #Inner Radius\n", + "r2=250 #mm #Radius at common surface\n", + "r3=300 #mm #Outer radius\n", + "p=6 #N/mm**2 #Inital pressure\n", + "p2=80 #N/mm**2 #Pressure\n", + "\n", + "#Calculations\n", + "\n", + "#Inner Cyclinder:\n", + "\n", + "#From Lame's Equation we have\n", + "#p_x=b*(x**2)**-1-a ..........................(1)\n", + "#F_x=b*(x**2)**-1+a ...........................(2)\n", + "\n", + "#At \n", + "x=r1=200 #mm\n", + "p_x=0\n", + "#0=b1*(250**2)**-1-a1 .................(3)\n", + "\n", + "#At x=r2=250 #mm\n", + "p_x2=6 #N/mm**2\n", + "#6=b1*(250**2)-a1 ...................(4)\n", + "\n", + "#From Equation 3 and 4 we get\n", + "b1=6*200**2*250**2*(200**2-250**2)**-1\n", + "\n", + "#From equation 3 we get\n", + "a1=b1*(200**2)**-1\n", + "\n", + "F_200=b1*(200**2)**-1+a1\n", + "F_250=b1*(250**2)**-1+a1\n", + "\n", + "#For outer cyclinder \n", + "#From Lame's Equation we have\n", + "#p_x2=b2*(x**2)**-1-a2 ..........................(5)\n", + "#F_x2=b2*(x**2)**-1+a2 ...........................(6)\n", + "\n", + "\n", + "#At \n", + "x2=r2=250 #mm\n", + "p_x2=6 #N/mm**2\n", + "#6=b2*(250**2)**-1-a2 ...........................(7) \n", + "\n", + "#At\n", + "x3=300 #mm\n", + "#p_x2=0\n", + "#0=b2**2*(300**2)**-1-a2 .................................(8)\n", + "\n", + "#from equation 7 and 8 we get\n", + "b2=6*250**2*300**2*(300**2-250**2)**-1\n", + "\n", + "#sub in equation 8 we get\n", + "a2=b2*(300**2)**-1\n", + "\n", + "F_250_2=b2*(250**2)**-1+a2\n", + "F_300_2=b2*(300**2)**-1+a2\n", + "\n", + "#When Fluid is admitted\n", + "#Let Lame's equation be\n", + "#p_x3=b3*(x**2)**-1-a3 ..........................(5)\n", + "#F_x3=b3*(x**2)**-1+a3 ...........................(6)\n", + "\n", + "\n", + "#At x=200\n", + "p_x3=80 #N/mm**2\n", + "#80=b3*(200**2)**-1-a3 ................................(7)\n", + "\n", + "#At x=300 #mm\n", + "#p_x=0\n", + "#0=b3*(300**2)**-1-a3 ..............................(8)\n", + "\n", + "#from Equation 7 and 8 we get\n", + "b3=80*200**2*300**2*(300**2-200**2)**-1\n", + "\n", + "#From Equation 8 we get\n", + "a3=b3*(300**2)**-1\n", + "\n", + "#Hoop stresses \n", + "F_200_3=b3*(200**2)**-1+a3 #N/mm**2\n", + "F_250_3=b3*(250**2)**-1+a3 #N/mm**2\n", + "F_300_3=b3*(300**2)**-1+a3 #N/mm**2\n", + "\n", + "#Pressure at common surface\n", + "p_250=b3*(250**2)**-1-a3 #N/mm**2\n", + "\n", + "#final stress\n", + "f_200=F_200+F_200_3 #N/mm**2\n", + "f_250=F_250+F_250_3 #N/mm**2\n", + "f_300=F_250_2+F_250_3 #N/mm**2\n", + "f_300_2=F_300_2+F_300_3 #N/mm**2\n", + "\n", + "#Result\n", + "print\"final Hoop stress are:f_200\",round(f_200,2),\"N/mm**2\"\n", + "print\" :f_250\",round(f_250,2),\"N/mm**2\"\n", + "print\" :f_300\",round(f_300,2),\"N/mm**2\"\n", + "print\" :f_300_2\",round(f_300_2,2),\"N/mm**2\"\n", + "print\"Variation of Hoop stress and Radial stress\"\n", + "\n", + "#Final stresses\n", + "#Variation of hoop stress \n", + " \n", + "X1=[x,x2,x3,x3]\n", + "Y1=[f_200,f_250,f_300,f_300_2]\n", + "Z1=[0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in mm\")\n", + "plt.ylabel(\"Hoop Stress Distribution in N/mm**2\")\n", + "plt.show()\n", + "\n", + "#Due to Fluid\n", + "#Variation of hoop stress \n", + " \n", + "X1=[x,x2,x3]\n", + "Y1=[F_200_3,F_250_3,F_300_3]\n", + "Z1=[0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in mm\")\n", + "plt.ylabel(\"Hoop Stress Distribution in N/mm**2\")\n", + "plt.show()\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "final Hoop stress are:f_200 174.67 N/mm**2\n", + " :f_250 128.83 N/mm**2\n", + " :f_300 189.43 N/mm**2\n", + " :f_300_2 155.27 N/mm**2\n", + "Variation of Hoop stress and Radial stress\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 89 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.16,Page No.348" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "do=200 #mm #Inner Diameter\n", + "r_o=100 #mm #Inner radius\n", + "d1=300 #mm #outer diameter\n", + "r1=150 #mm #Outer radius\n", + "d2=250 #mm #Junction Diameter\n", + "r2=125 #mm #Junction radius\n", + "E=2*10**5 #N/mm**2 #Modulus of Elasticity\n", + "p=30 #N/mm**2 #radial pressure\n", + "\n", + "#Calculations\n", + "\n", + "#from Lame's Equation we get\n", + "#p_x=b*(x**2)**-1-a ..........................(1)\n", + "#F_x=b*(x**2)**-1+a ...........................(2)\n", + "\n", + "#Then from Boundary condition \n", + "#p_x=0 at x=100 #mm\n", + "#0=b1*(100**2)**-1-a1 .....................(3)\n", + "\n", + "#p_x2=30 #N/mm**2 at x2=125 #mm\n", + "#30=b1*(125**2)**-1-a1 ................................(4)\n", + "\n", + "#From equation 3 and 4 we get\n", + "b1=30*125**2*100**2*(100**2-125**2)**-1\n", + "\n", + "#From Equation 3 we get\n", + "a1=b1*(100**2)**-1\n", + "\n", + "#therefore Hoop stress in inner cyclinder at junction\n", + "F_2_1=b1*(125**2)**-1+a1 #N/mm**2\n", + "\n", + "#Outer Cyclinder\n", + "#p_x=b*(x**2)**-1-a ..........................(5)\n", + "#F_x=b*(x**2)**-1+a ...........................(6)\n", + "\n", + "#Now at x=125 #mm\n", + "#p_x3=30 #N/mm**2\n", + "#30=b2*(125**2)**-1-a2 ..................................(7)\n", + "\n", + "#At x=150 #mm\n", + "#p_x4=0\n", + "#0=b2*(150**2)**-1-a2 ...................................(8)\n", + "\n", + "#From equations 7 and 8\n", + "b2=30*150**2*125**2*(150**2-125**2)**-1\n", + "\n", + "#From eqauation 8 we get\n", + "a2=b2*(150**2)**-1\n", + "\n", + "#Hoop stress at junction \n", + "F_2_0=b2*(125**2)**-1+a2 #N/mm**2\n", + "\n", + "rho_r=(F_2_0-F_2_1)*E**-1*r2\n", + "\n", + "#Result\n", + "print\"Shrinkage Allowance is\",round(rho_r,3),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Shrinkage Allowance is 0.189 mm\n" + ] + } + ], + "prompt_number": 40 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.17,Page No.350" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d_o=500 #mm #Outer Diameter\n", + "r_o=250 #mm #Outer Radius\n", + "d1=300 #mm #Inner Diameter\n", + "r1=150 #mm #Inner Radius\n", + "d2=400 #mm #Junction Diameter\n", + "E=2*10**5 #N/mm**2 #Modulus ofElasticity\n", + "alpha=12*10**-6 #Per degree celsius\n", + "dell_d=0.2 #mm\n", + "dell_r=0.1 #mm\n", + "\n", + "#Calculations\n", + "\n", + "#Let p be the radial pressure developed at junction\n", + "#Let Lame's Equation for internal cyclinder be\n", + "#p_x=b*(x**2)**-1-a ................................(1)\n", + "#F_x=b*(x**2)**-1+a ...............................(2)\n", + "\n", + "#At \n", + "x=150 #mm \n", + "p_x=0\n", + "#Sub in equation 1 we get\n", + "#0=b*(150**2)**-1-a .........................(3)\n", + "\n", + "#At \n", + "x2=200 #mm\n", + "#p_x2=p\n", + "#p=b*(200**2)**-1-a ......................(4)\n", + " \n", + "#From Equation 3 and 4\n", + "#p=b*(200**2)**-1-b(150**2)**-1\n", + "#after further simplifying we get\n", + "#b=-51428.571*p\n", + "\n", + "#sub in equation 3 we get\n", + "#a1=-2.2857*p\n", + "\n", + "#therefore hoop stress at junction is\n", + "#F_2_1=-21428.571*p*(200**2)**-1-2.2857*p\n", + "#after Further simplifying we geet\n", + "#F_2_1=3.5714*p\n", + "\n", + "#Let Lame's Equation for cyclinder be \n", + "#p_x=b*(x**2)**-1-a .........................5\n", + "#F_x=b*(x**2)**-1+a .............................6\n", + "\n", + "#At \n", + "x=200 #mm\n", + "#p_x=p2\n", + "#p2=b2*(20**2)**-1-a2 ...................7\n", + "\n", + "#At\n", + "x2=200 #mm\n", + "p_x2=0\n", + "#0=b2*(250**2)**-1-a2 ....................8\n", + "\n", + "#from equation 7 and 8 we get\n", + "#p2=b2*(200**2)**-1-b2*(250**2)**-1\n", + "#After further simplifying we get\n", + "#p2=b2*(250**2-200**2)*(200**2*250**2)**-1\n", + "#b2=111111.11*p\n", + "\n", + "#from equation 7\n", + "#a2=b2*(250**2)**-1\n", + "#further simplifying we get\n", + "#a2=1.778*p\n", + "\n", + "#At the junctionhoop stress in outer cyclinder \n", + "#F_2_0=b2*(200**2)**-1+a2\n", + "#After further simplifying we get\n", + "#F_2_0=4.5556*p\n", + "\n", + "#Considering circumferential strain,the compatibility condition\n", + "#rho_r*r2**-1=1*E**-1*(F_2_1+F_2_0)\n", + "#where F_2_1 is compressive and F_2_0 is tensile\n", + "#furter simplifying we get\n", + "p=0.1*200**-1*2*10**5*(3.5714+4.5556)**-1\n", + "\n", + "#Let T be the rise in temperature required\n", + "#dell_d=d*alpha*T\n", + "#After sub values and further simplifying we get\n", + "d=250 #mm\n", + "T=dell_d*(d*alpha)**-1 #Per degree celsius\n", + "\n", + "#Result\n", + "print\"Radial Pressure Developed at junction\",round(p,2),\"N/mm**2\"\n", + "print\"Min Temperatureto outer cyclinder\",round(T,2),\"Per degree Celsius\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Radial Pressure Developed at junction 12.3 N/mm**2\n", + "Min Temperatureto outer cyclinder 66.67 Per degree Celsius\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Example 8.8.18,Page No.355" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "%matplotlib inline\n", + "\n", + "#Initilization of Variables\n", + "\n", + "d_o=400 #mm #Outer Diameter\n", + "r_o=200 #mm #Outer radius\n", + "t=50 #mm #Thickness\n", + "r1=150 #mm #Internal Radius\n", + "p=50 #N/mm**2 #Internal Pressure\n", + "\n", + "#Calculations\n", + "\n", + "#The Radial Pressure and hoop stress at any radial distance x are given by\n", + "#p_x=b*(x**2)**-1-a ..........................(1)\n", + "#F_x=b*(x**2)**-1+a ...........................(2)\n", + "\n", + "#Now at\n", + "x=150 #N/mm**2\n", + "p_x1=50 #N/mm**2\n", + "#Sub in equation 1 we get\n", + "#50=2*b*(150**3)**-1-a ...........................(3)\n", + "\n", + "#At x=200 #mm\n", + "p_x2=0\n", + "#0=2*b*(200**2)**-1-a ....................(4)\n", + "\n", + "#From equation 3 and 4 we get\n", + "#50=2*b*(150**3)**-1-2*b*(200**3)**-1\n", + "#After further simplifying we get\n", + "b=50*150**3*200**3*(200**3-150**3)**-1*2**-1\n", + "\n", + "#Sub in equation 3 we get\n", + "a=b*(200**3)**-1\n", + "\n", + "#Now At\n", + "x=150 #mm\n", + "F_x=b*(x**3)**-1+a\n", + "\n", + "#Now At\n", + "x2=160 #mm\n", + "F_x2=b*(x2**3)**-1+a\n", + "\n", + "#Now At\n", + "x3=170 #mm\n", + "F_x3=b*(x3**3)**-1+a\n", + "\n", + "#Now At\n", + "x4=180 #mm\n", + "F_x4=b*(x4**3)**-1+a\n", + "\n", + "#Now At\n", + "x5=190 #mm\n", + "F_x5=b*(x5**3)**-1+a\n", + "\n", + "#Now At\n", + "x6=200 #mm\n", + "F_x6=b*(x6**3)**-1+a\n", + "\n", + "#Result\n", + "print\"Plot of Variation of hoop stress\"\n", + "\n", + "#Plotting Variation of hoop stress\n", + "\n", + "X1=[x,x2,x3,x4,x5,x6]\n", + "Y1=[F_x,F_x2,F_x3,F_x4,F_x5,F_x6]\n", + "Z1=[0,0,0,0,0,0]\n", + "plt.plot(X1,Y1,X1,Z1)\n", + "plt.xlabel(\"Length x in mm\")\n", + "plt.ylabel(\"Hoop Stress Distribution in N/mm**2\")\n", + "plt.show()\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Plot of Variation of hoop stress\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + } + ], + "prompt_number": 25 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_1.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_1.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_2.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_2.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_3.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_3.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_4.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_4.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_5.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_5.ipynb old mode 100644 new mode 100755 diff --git a/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_6.ipynb b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_6.ipynb new file mode 100644 index 00000000..cecacb12 --- /dev/null +++ b/Strength_Of_Materials_by_S_S_Bhavikatti/chapter_no.9_6.ipynb @@ -0,0 +1,779 @@ +{ + "metadata": { + "name": "chapter no.9.ipynb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 9:Columns And Struts" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.1,Page No.377" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "L=5000 #mm #Length of strut\n", + "dell=10 #mm #Deflection\n", + "W=10 #N #Load\n", + "\n", + "#Calculations\n", + "\n", + "#Central Deflection of a simply supported beam with central concentrated load is\n", + "#dell=W*L**3*(48*E*I)**-1 \n", + "\n", + "#Let E*I=X\n", + "X=W*L**3*(48*dell)**-1 #mm\n", + "\n", + "#Euler's Load\n", + "#Let Euler's Load be P\n", + "P=pi**2*X*(L**2)**-1\n", + "\n", + "#Result\n", + "print\"Critical Load of Bar is\",round(P,2),\"N\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Critical Load of Bar is 1028.08 N\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.2,Page No.377" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=2000 #mm #Length of square column\n", + "E=12*10**3 #N/mm**2 #Modulus of Elasticity\n", + "sigma=12 #N/mm*2 #stress\n", + "W1=95*10**3 #N #Load1\n", + "W2=200*10**3 #N #Load2\n", + "FOS=3\n", + "\n", + "#Calculations\n", + "\n", + "#From Euler's Formula\n", + "#P=pi**2*E*I*(L**2)**-1 .........(1)\n", + "\n", + "#Working Load\n", + "#W=P*(FOS)**-1\n", + "\n", + "#Part-1\n", + "\n", + "#At W1=95*10**3 #N\n", + "#W1=P*(3*L**2)**-1\n", + "\n", + "#Let 'a' be the side of the square\n", + "#I=1*12**-1*a**4\n", + "\n", + "#sub value of I in Equation 1 and further rearranging we get\n", + "a=(W1*3*12*L**2*(pi**2*E)**-1)**0.25 #mm\n", + "\n", + "#From Consideration of direct crushing\n", + "#sigma*a**2=W1\n", + "#After Reaaranging the above equation we get\n", + "a2=(W1*(sigma)**-1)**0.5 #mm\n", + "\n", + "#required size is 103.67*103.67 i.e a*a\n", + "\n", + "#Part-2\n", + "\n", + "#At W2=200*10**3 #N\n", + "#W2=P*(3*L**2)**-1\n", + "#After substituting values and further Rearranging the above equation we get\n", + "a3=(W2*3*12*L**2*(pi**2*E)**-1)**0.25 #mm\n", + "\n", + "#From consideration of direct compression,size required is\n", + "a4=(W2*sigma**-1)**0.5\n", + "\n", + "#required size is 129.10*129.10 i.e a4*a4\n", + "\n", + "#Result\n", + "print\"For W1 Load Required size is\",round(a*a,2),\"mm**2\"\n", + "print\"For W2 Load Required size is\",round(a4*a4,2),\"mm**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "For W1 Load Required size is 10747.38 mm**2\n", + "For W1 Load Required size is 16666.67 mm**2\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.3,Page No.378" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Flange \n", + "b=100 #mm #Width\n", + "\n", + "D=80 #mm #Overall Depth\n", + "t=10 #mm #Thickness of web and flanges\n", + "L=3000 #mm #Length of strut\n", + "E=200*10**3 #N/mm**2 #Modulus of Elasticity\n", + "\n", + "#Calculations\n", + "\n", + "#Let centroid be at depth y_bar from top fibre\n", + "y_bar=(b*t*t*2**-1+(D-t)*t*((D-t)*2**-1+t))*(b*t+(D-t)*t)**-1 #mm \n", + "\n", + "#M.I at x-x axis\n", + "I_x=1*12**-1*b*t**3+b*t*(y_bar-t*2**-1)**2+1*12**-1*t*((D-t))**3+t*((D-t))*((((D-t)*2**-1)+t)-y_bar)**2\n", + "\n", + "#M.I at y-y axis\n", + "I_y=1*12**-1*t*b**3+1*12**-1*(D-t)*t**3 #mm**3\n", + "\n", + "#Least M.I\n", + "I=I_y\n", + "\n", + "#Since both ends are hinged\n", + "#Feective Length=Actual Length\n", + "L=l=3000 #mm\n", + "\n", + "#Buckling Load \n", + "P=pi**2*E*I*(l**2)**-1*10**-3 #KN\n", + "\n", + "#Result\n", + "print\"The Buckling Load for strut of tee section\",round(P,2),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The Buckling Load for strut of tee section 184.05 KN\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.4,Page No.379" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "D=400 #mm #Overall Depth\n", + "\n", + "#Flanges\n", + "b=300 #mm #Width\n", + "t=50 #mm #Thickness\n", + "\n", + "t2=30 #mm #Web Thickness\n", + "\n", + "dell=10 #mm #Deflection\n", + "w=40 #N/mm #Load\n", + "FOS=1.75 #Factor of safety\n", + "E=2*10**5 #N/mm**2\n", + "\n", + "#Calculations\n", + "\n", + "#M.I at x-x axis\n", + "I_x=1*12**-1*(b*D**3-(b-t2)*b**3) #mm**4\n", + "\n", + "#Central Deflection\n", + "#dell=5*w*L**4*(384*E*I)**-1\n", + "#After sub values in above equation and further simplifying we get\n", + "L=(dell*384*E*I_x*(5*w)**-1)**0.25\n", + "\n", + "#M.I aty-y axis\n", + "I=I_y=1*12**-1*t*b**3+1*12**-1*b*t2**3+1*12**-1*t*b**3 #mm**4\n", + "\n", + "#Both the Ends of column are hinged\n", + "\n", + "#Crippling Load\n", + "P=pi**2*E*I*(L**2)**-1 #N\n", + "\n", + "#Safe Load\n", + "S=P*(FOS)**-1*10**-3 #N\n", + "\n", + "#Result\n", + "print\"Safe Load if I-section is used as column with both Ends hhinged\",round(S,2),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Safe Load if I-section is used as column with both Ends hhinged 4123.29 KN\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.5,Page No.381" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "D=200 #mm #External Diameter\n", + "t=20 #mm #hickness\n", + "d=200-2*t #mm #Internal Diameter\n", + "E=1*10**5 #N/mm**2\n", + "a=1*(1600)**-1 #Rankine's Constant\n", + "L=4.5 #m #Length\n", + "sigma=550 #N/mm**2 #Stress\n", + "FOS=2.5\n", + "\n", + "#Calculations\n", + "\n", + "#Moment of Inertia\n", + "I=pi*D**4*64**-1-pi*d**4*64**-1\n", + "\n", + "#Both Ends are fixed\n", + "\n", + "#Effective Length\n", + "l=1*2**-1*L*10**3 #mm\n", + "\n", + "#Euler's Critical Load\n", + "P_E=pi**2*E*I*(l**2)**-1\n", + "\n", + "A=pi*4**-1*(D**2-d**2) #mm*2\n", + "\n", + "k=(I*A**-1)**0.5\n", + "\n", + "#Rankine's Critical Load\n", + "P_R=sigma*A*(1+a*(l*k**-1)**2)**-1\n", + "\n", + "X=P_E*P_R**-1 \n", + "\n", + "#Safe Load using Rankine's Formula\n", + "S=P_R*(FOS)**-1*10**-3 #KN\n", + "\n", + "#Result\n", + "print\"Safe Load by Rankine's Formula is\",round(S,2),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Safe Load by Rankine's Formula is 1404.36 KN\n" + ] + } + ], + "prompt_number": 39 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.6,Page No.382" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "L=3000 #mm #Length of column\n", + "W=800*10**3 #N #Load\n", + "a=1*1600**-1 #Rankine's constant\n", + "FOS=4 #Factor of safety\n", + "sigma=550 #N/mm**2 #stress\n", + "\n", + "#Calculations\n", + "\n", + "#Effective Length\n", + "l=L*2**-1 #mm \n", + "\n", + "#Let d1=outer diameter & d2=inner diameter\n", + "#d1=5*8**-1*d2\n", + "\n", + "#M.I\n", + "#I=pi*64**-1*(d1**4-d2**4) #mm**4\n", + "\n", + "#Area of section\n", + "#A=pi4**-1*(d1**2-d2**2) #mm**2\n", + "\n", + "#k=(I*A**-1) \n", + "#substituting values in above equation \n", + "#k=1*16**-1*(d1**2-d2**2)\n", + "#after simplifying further we get\n", + "#k=0.2948119.d1\n", + "\n", + "#X=l*k**-1\n", + "#substituting values in above equation and after simplifying further we get\n", + "#X=5087.9898*d1**-1\n", + "\n", + "#Crtitcal Load\n", + "P=W*FOS #N\n", + "\n", + "#From Rankine's Load\n", + "#P2=sigma*A*(1+a*(X)**2)**-1\n", + "#substituting values in above equation and after simplifying further we get\n", + "#d1**4-12156618*d1**4-1.96691*10**8=0\n", + "#Solving Quadratic Equation we get\n", + "#d1**2-12156618*d1-196691000=0\n", + "a=1\n", + "b=-12156.618\n", + "c=-196691000\n", + "\n", + "Y=b**2-4*a*c\n", + "\n", + "d1_1=((-b+Y**0.5)*(2*a)**-1)**0.5 #mm\n", + "d1_2=((-b-Y**0.5)*(2*a)**-1) #mm\n", + "\n", + "d2=5*8**-1*d1_1\n", + "\n", + "#Result\n", + "print\"Section of cast iron hollow cylindrical column is:d1_1\",round(d1_1,2),\"mm\"\n", + "print\" :d2 \",round(d2,2),\"mm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Section of cast iron hollow cylindrical column is:d1_1 146.16 mm\n", + " :d2 91.35 mm\n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.7,Page No.383" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "#Let X=(P*A**-1) #Average Stress at Failure \n", + "Lamda_1=70 #Slenderness Ratio\n", + "Lamda_2=170 #Slenderness Ratio\n", + "X1=200 #N/mm**2 \n", + "X2=69 #N/mm**2 \n", + "\n", + "#Rectangular section\n", + "b=60 #mm #width\n", + "t=20 #mm #Thickness\n", + "\n", + "L=1250 #mm #Length of strut\n", + "FOS=4 #Factor of safety\n", + "\n", + "#Calculations\n", + "\n", + "#Slenderness ratio\n", + "#Lamda=L*k**-1\n", + "\n", + "#The Rankine's Formula for strut\n", + "#P=sigma*A*(1+a*(L*k**-1)**-1\n", + "\n", + "#From test result 1,\n", + "#After sub values in above equation we get and further simplifying we get\n", + "#sigma_1=200+980000*a ...................(1)\n", + "\n", + "#From test result 2,\n", + "#After sub values in above equation we get and further simplifying we get\n", + "#sigma_2=69+1994100*a ...................(2)\n", + "\n", + "#Substituting it in equation (1) we get\n", + "a=131*1014100**-1 \n", + "\n", + "#Substituting a in equation 1\n", + "sigma_1=200+980000*a #N/mm**2\n", + "\n", + "#Effective Length \n", + "l=1*2**-1*L #mm\n", + "\n", + "#Least of M.I\n", + "I=1*12**-1*b*t**3 #mm**4\n", + "\n", + "#Area \n", + "A=b*t #mm**2 \n", + "\n", + "k=(I*A**-1)**0.5\n", + "\n", + "#Slenderness ratio\n", + "Lamda=l*k**-1\n", + "\n", + "#From Rankine's Ratio\n", + "P=sigma_1*A*(1+a*(Lamda)**2)**-1\n", + "\n", + "#Safe Load\n", + "S=P*(FOS)**-1*10**-3 #N\n", + "\n", + "#Result\n", + "print\"Constant in the Formula is:a \",round(a,6)\n", + "print\" :sigma_1\",round(sigma_1,2)\n", + "print\"Safe Load is\",round(S,2),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Constant in the Formula is:a 0.000129\n", + " :sigma_1 326.6\n", + "Safe Load is 38.98 KN\n" + ] + } + ], + "prompt_number": 38 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.8,Page No.385" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "D=200 #mm #Depth\n", + "b=140 #mm #width\n", + "\n", + "#Plate\n", + "b2=160 #mm #Width\n", + "t2=10 #mm #Thickness\n", + "\n", + "L=l=4000 #mm #Length\n", + "FOS=4 #Factor of safety\n", + "sigma=315 #N/mm**2 #stress\n", + "a2=1*7500**-1 \n", + "I_xx=26.245*10**6 #mm**4 #M.I at x-x\n", + "I_yy=3.288*10**6 #mm**4 #M.I at y-y\n", + "a=3671 #mm**2 #Area\n", + "k_x=84.6#mm\n", + "k_y=29.9 #mm\n", + "\n", + "#Calculations\n", + "\n", + "#Total Area\n", + "A=a+2*t2*b2 #mm**2\n", + "\n", + "#M.I\n", + "I=I_yy+2*12**-1*t2*b2**3 #mm**4\n", + "\n", + "k=(I*A**-1)**0.5 #mm\n", + "\n", + "#Let X=L*k**-1\n", + "X=L*k**-1\n", + "\n", + "#Appliying Rankine's Formula\n", + "P=sigma*A*(1+a2*(X)**2)**-1 #N\n", + "\n", + "#Safe Load\n", + "S=P*(FOS)**-1*10**-3 #KN\n", + "\n", + "#Result\n", + "print\"Safe axial Load is\",round(S,2),\"KN\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Safe axial Load is 220.93 KN\n" + ] + } + ], + "prompt_number": 48 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.9,Page No.389" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "E=200*10**3 #N/mm**2 #Modulus of elasticity\n", + "sigma=330 #N/mm**2 #Stress\n", + "a=1*7500**-1 #Rankine's constant\n", + "A=5205 #mm**2 #area of column\n", + "I_xx=59.431*10**6 #mm**4 #M.I at x-x axis\n", + "I_yy=8.575*10**6 #mm**24#M.I at y-y axis\n", + "\n", + "#Calculations\n", + "\n", + "#Total M.I\n", + "I=I_xx+I_yy #mm**4\n", + "\n", + "#Area of compound Section \n", + "A2=2*A #mm**2\n", + "\n", + "k=(I*A2**-1)**0.5 #mm\n", + "\n", + "#Equating Euler's Load to Rankine's Load we get\n", + "#pi**2*E*I*(L**2)**-1=sigma*A*(1+a*(L*k)**2)**-1\n", + "#After Substitt=uting values and further simplifying we get\n", + "L=(39076198*(1-0.7975432)**-1)**0.5*10**-3 #m\n", + "\n", + "#Result\n", + "print\"Length of column for which Rankine's formula and Euler's Formula give the same result is\",round(L,2),\"m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Length of column for which Rankine's formula and Euler's Formula give the same result is 13.89 m\n" + ] + } + ], + "prompt_number": 47 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 9.9.10,Page No.387" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "import numpy as np\n", + "\n", + "#Initilization of Variables\n", + "\n", + "sigma=326 #N/mm**2 #stress\n", + "E=2*10**5 #N/mm**2 #Modulus of Elasticity\n", + "FOS=2 #Factor of safety\n", + "a=1*7500**-1 #Rankine's constant\n", + "D=350 #mm #Overall Depth \n", + "\n", + "#Cover plates\n", + "b1=500 #mm #width\n", + "t1=10 #mm #Thickness\n", + "\n", + "d=220 #mm #Distance between two channels\n", + "\n", + "L=6000 #mm #Length of column\n", + "\n", + "A=5366 #mm**2 #Area of Column section \n", + "I_xx=100.08*10**6 #mm**4 #M.I of x-x axis\n", + "I_yy=4.306*10**6 #mm**4 #M.I of y-y axis\n", + "C_yy=23.6 #mm #Centroid at y-y axis\n", + "\n", + "#Calculations\n", + "\n", + "#Symmetric axes are the centroidal axes is\n", + "\n", + "#M.I of Channel at x-x axis\n", + "I_xx_1=2*I_xx+2*(1*12**-1*b1*t1**3+b1*t1*(D*2**-1+t1*2**-1)**2)\n", + "\n", + "#M.I of Channel at y-y axis\n", + "I_yy_1=2*(I_yy+A*(d*2**-1+C_yy)**2)+2*12**-1*t1*b1**3\n", + "\n", + "#As I_yy