Added(A)/Deleted(D) following books

A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/README.txt A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/ch2_1.ipynb A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/ch3_1.ipynb A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/ch4_1.ipynb A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/ch5_1.ipynb A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/ch6_1.ipynb A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/ch7_1.ipynb A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/ch8_1.ipynb A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/ch9_1.ipynb A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/screenshots/ch2_1.png A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/screenshots/ch7_1.png A A_Course_In_Mechanical_Measurements_And_Instrumentation_by_A._K._Sawhney_And_P._Sawhney/screenshots/kVSv5.png A A_First_Course_on_Electrical_Drives_by_S._K._Pillai/CHAPTER2_1.ipynb A A_First_Course_on_Electrical_Drives_by_S._K._Pillai/CHAPTER4_2.ipynb A A_First_Course_on_Electrical_Drives_by_S._K._Pillai/CHAPTER5_2.ipynb A A_First_Course_on_Electrical_Drives_by_S._K._Pillai/CHAPTER6_2.ipynb A A_First_Course_on_Electrical_Drives_by_S._K._Pillai/CHAPTER7_2.ipynb A A_First_Course_on_Electrical_Drives_by_S._K._Pillai/README.txt A A_First_Course_on_Electrical_Drives_by_S._K._Pillai/screenshots/CHAP2.png A A_First_Course_on_Electrical_Drives_by_S._K._Pillai/screenshots/CHAP4.png A A_First_Course_on_Electrical_Drives_by_S._K._Pillai/screenshots/CHAP5.png D A_First_course_in_Programming_with_C/Chapter14.ipynb M A_First_course_in_Programming_with_C_by_T_Jeyapoovan/Chapter14_2.ipynb A A_First_course_in_Programming_with_C_by_T_Jeyapoovan/README.txt A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT1.2.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT1.3.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT1.7.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT1_2.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT1_3.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT1_7.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.10.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.11.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.13.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.14.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.15.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.16.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.17.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.18.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.2.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.3.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.4.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.5.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.6.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.7.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.8.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2.9.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2_10.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2_11.ipynb A A_Textbook_on_Power_System_Engineering_by_A_Chakrabarti,_M_L_Soni,_P_V_Gupta,_U_S_Bhatnagar/CHAPT2_13.ipynb A 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Internal_Combustion_Engines_by_H._B._Keswani/screenshots/ch9.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter10_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter10_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter10_3.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter10_4.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter11_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter11_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter11_3.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter11_4.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter12_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter12_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter12_3.ipynb A 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Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter3_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter3_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter3_3.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter3_4.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter4_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter4_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter4_3.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter4_4.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter5_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter5_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter5_3.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter5_4.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter6_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter6_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter6_3.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter6_4.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter7_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter7_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter7_3.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter7_4.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter8_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter8_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter8_3.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter8_4.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter9_1.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter9_2.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter9_3.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/Chapter9_4.ipynb A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/README.txt A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter10_1.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter10_2.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter10_3.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter10_4.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter3_1.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter3_2.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter3_3.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter3_4.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter4_1.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter4_2.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter4_3.png A Introduction_To_Fluid_Mechanics_by_R._W._Fox_And_A._T._McDonald/screenshots/chapter4_4.png A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter1.ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter2(PartB).ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter2.ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter3(partB).ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter3.ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter4(PartB).ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter4.ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter5.ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter6.ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/Chapter7.ipynb A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/screenshots/chapter1.png A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/screenshots/chapter2.png A Introduction_To_Mechanical_Engineering_by_S._Chandra_And_O._Singh/screenshots/chapter3.png A Introduction_to_Electric_Drives_by_J._S._Katre/AppendixB.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/AppendixB_1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter10.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter10_1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter10_2.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter1_1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter1_2.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter2.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter2_1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter2_2.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter3.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter3_1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter3_2.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter5.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter5_1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter5_2.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter6.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter6_1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter6_2.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter8.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter8_1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter8_2.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter9.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter9_1.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/chapter9_2.ipynb A Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch6_VLdc_VLrms.png A Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch6_VLdc_VLrms_1.png A Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch6_VLdc_VLrms_2.png A Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch6_variation_of_RF_FF.png A Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch6_variation_of_RF_FF_1.png A Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch6_variation_of_RF_FF_2.png A Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch_3_variation_avg_rms_load_V.png A Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch_3_variation_avg_rms_load_V_1.png A Introduction_to_Electric_Drives_by_J._S._Katre/screenshots/ch_3_variation_avg_rms_load_V_2.png A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9.ipynb A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1.ipynb A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2.ipynb A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3.ipynb A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4.ipynb A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter6.ipynb A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter7.ipynb A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter8.ipynb A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter_5.ipynb A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/screenshots/ex1.2.png A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/screenshots/ex3.13.png A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/screenshots/ex6.7.png A Linear_Integrated_Circuits_by_J._B._Gupta/README.txt A Linear_Integrated_Circuits_by_J._B._Gupta/chapter01_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter01_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter02_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter02_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter03_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter03_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter04_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter04_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter05_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter05_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter06_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter06_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter07_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter07_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter08_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter08_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter09_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter09_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter10_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter10_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter11_1.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/chapter11_2.ipynb A Linear_Integrated_Circuits_by_J._B._Gupta/screenshots/5_14.png A Linear_Integrated_Circuits_by_J._B._Gupta/screenshots/5_14_1.png A Linear_Integrated_Circuits_by_J._B._Gupta/screenshots/5_15.png A Linear_Integrated_Circuits_by_J._B._Gupta/screenshots/5_15_1.png A Linear_Integrated_Circuits_by_J._B._Gupta/screenshots/per_error_1.png A Linear_Integrated_Circuits_by_J._B._Gupta/screenshots/per_error_2.png A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER10.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER13.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER14.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER15.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER16.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER18.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER19.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER2.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER21.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER23.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER24_.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER26.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER30.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER31.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER33.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER36.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/CHAPTER9.ipynb A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP10.png A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP16.png A Manufacturing_Engineering_&_Technology_by__S._Kalpakjian_and_S._R._Schmid/screenshots/CHAP19.png A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch2.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch2_1.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch3.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch3_1.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch4.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch4_1.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch5.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch5_1.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch6.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch6_1.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch7.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/ch7_1.ipynb A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/screenshots/FricCoeff.png A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/screenshots/FricCoeff_1.png A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/screenshots/fillingtime.png A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/screenshots/fillingtime_1.png A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/screenshots/millPOwer.png A Manufacturing_Science_by_A._Ghosh_And_A._K._Mallik/screenshots/millPOwer_1.png A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter10.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter11.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter12.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter13.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter14.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter15.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter16.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter17.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter2.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter3.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter4.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter5.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter6.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter7.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter8.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/Chapter9.ipynb A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/screenshots/Chapter10.png A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/screenshots/Chapter11.png A Materials_Science_and_Engineering_-_A_First_Course_by_V._Raghavan/screenshots/Chapter12.png A Materials_Science_by_Dr._M._Arumugam/Chapter10_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter12_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter1_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter2_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter3_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter4_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter5_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter6_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter7_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter8_1.ipynb A Materials_Science_by_Dr._M._Arumugam/Chapter9_1.ipynb A Materials_Science_by_Dr._M._Arumugam/README.txt A Materials_Science_by_Dr._M._Arumugam/screenshots/11.png A Materials_Science_by_Dr._M._Arumugam/screenshots/22.png A Materials_Science_by_Dr._M._Arumugam/screenshots/33.png A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/Chapter_2_Generalized_Configurations_and_Functional_Descriptions_of_Measuring_Instruments.ipynb A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/Chapter_3_Generalized_Performance_Characteristics_of_Instruments.ipynb A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/Chapter_4_Relative_Velocity_Translational_and_Rotational.ipynb A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/Chapter_5_Force_Torque_and_Shaft_power_Measurement.ipynb A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/Chapter_6_Pressure_and_Sound_Measurement.ipynb A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/Chapter_7_Flow_Measurement.ipynb A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/Chapter_8_Temperature_and_Heat-Flux_Measurement.ipynb A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/screenshots/cha3.png A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/screenshots/cha4.png A Measurement_Systems_by_E._O._Doebelin_And_D._N._Manik/screenshots/cha5.png A Mechanical_Metallurgy_by_George_E._Dieter/README.txt A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/AppendixA.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/AppendixA_1.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/AppendixA_2.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/AppendixA_3.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_1.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_10.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_11.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_12.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_13.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_14.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_2.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_3.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_4.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_5.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_6.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_7.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_8.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter01_9.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter02.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter02_1.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter02_2.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter02_3.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter03.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter03_1.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter03_2.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter03_3.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter04.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter04_1.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter04_2.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter04_3.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter05.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter05_1.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter05_2.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter05_3.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter06.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter06_1.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter06_2.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter06_3.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter07.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter07_1.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter07_2.ipynb A Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter07_3.ipynb A 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Special_Electrical_Machines_by_S.P._Burman/chapter03.ipynb A Special_Electrical_Machines_by_S.P._Burman/chapter04.ipynb A Special_Electrical_Machines_by_S.P._Burman/screenshots/ResolShaftSpeed3.png A Special_Electrical_Machines_by_S.P._Burman/screenshots/TorqLossEff1.png A Special_Electrical_Machines_by_S.P._Burman/screenshots/Torq_Speed1.png A Strength_Of_Materials_by_B_K_Sarkar/Chapter01.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter02.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter03.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter04.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter05.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter06.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter07.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter08.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter09.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter10.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter11.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter12.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter13.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter14.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter15.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter16.ipynb A Strength_Of_Materials_by_B_K_Sarkar/Chapter17.ipynb A Strength_Of_Materials_by_B_K_Sarkar/README.txt A Strength_Of_Materials_by_B_K_Sarkar/chapter_10_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_10_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_11_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_11_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_12_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_12_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_13_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_13_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_14_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_14_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_15_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_15_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_16_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_16_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_17_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_17_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_1_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_1_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_2_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_2_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_3_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_3_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_4_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_4_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_5_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_5_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_6_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_6_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_7_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_7_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_8_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_8_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_9_som.ipynb A Strength_Of_Materials_by_B_K_Sarkar/chapter_9_som_1.ipynb A Strength_Of_Materials_by_B_K_Sarkar/screenshots/B.M.D_1.JPG A Strength_Of_Materials_by_B_K_Sarkar/screenshots/B.M.D_2.JPG A Strength_Of_Materials_by_B_K_Sarkar/screenshots/BMD2.png A Strength_Of_Materials_by_B_K_Sarkar/screenshots/S.F.D_1.jpg A Strength_Of_Materials_by_B_K_Sarkar/screenshots/S.F.D_1_1.jpg A Strength_Of_Materials_by_B_K_Sarkar/screenshots/S.F.D_2.jpg A Strength_Of_Materials_by_B_K_Sarkar/screenshots/S.F.D_4.jpg A Strength_Of_Materials_by_B_K_Sarkar/screenshots/SFD.png A Strength_Of_Materials_by_B_K_Sarkar/screenshots/SFD3.png M The_C_Book/Chapter2.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/README.txt R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch10.ipynb -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch10.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch10_1.ipynb R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch2.ipynb -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch2.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch2_1.ipynb R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch3.ipynb -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch3.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch3_1.ipynb R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch4.ipynb -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch4.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch4_1.ipynb R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch5.ipynb -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch5.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch5_1.ipynb R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch6.ipynb -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch6.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch6_1.ipynb R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch7.ipynb -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch7.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch7_1.ipynb R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch8.ipynb -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch8.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch8_1.ipynb R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch9.ipynb -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch9.ipynb A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/ch9_1.ipynb R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/screenshots/same3_7.png -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/screenshots/same3_7.png A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/screenshots/same3_7_1.png R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/screenshots/same7.png -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/screenshots/same7.png A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/screenshots/same7_1.png R _Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/screenshots/shearAndBendingMoment7.png -> Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/screenshots/shearAndBendingMoment7.png A Vector_Mechanics_for_Engineers:_Stastics_And_Dynamics_by_F._P._Beer,_E._R._Johnston,_D._F._Mazurek,_P._J._Cornwell_And_E._R._Eisenberg/screenshots/shearAndBendingMoment7_1.png A Wireless_Communications_and_Networking_by_V._Garg/README.txt A Wireless_Communications_and_Networking_by_V._Garg/ch10_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch11_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch12_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch13_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch14_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch17_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch19_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch21_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch2_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch3_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch4_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch5_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch6_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch8_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/ch9_1.ipynb A Wireless_Communications_and_Networking_by_V._Garg/screenshots/EbbyNo_1.png A Wireless_Communications_and_Networking_by_V._Garg/screenshots/comparision_of_models_1.png A Wireless_Communications_and_Networking_by_V._Garg/screenshots/multiplexing_1.png A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/README.txt A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch10_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch11_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch12_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch1_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch2_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch3_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch4_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch5_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch6_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch7_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch8_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/ch9_1.ipynb A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/screenshots/energy_stored3_1.png A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/screenshots/magnetic_flux12_1.png A _Electric_Machinery_And_Transformers_by_B._S._Guru_And_H._R._Hiziroglu/screenshots/pitch_factor7_1.png A _Essentials_of_Materials_Science_and_Engineering_by__D._R._Askeland_and_P._P._Phule/Chapter_10_Solid_Solutions_and_Phase_Equilibrium_2.ipynb A _Essentials_of_Materials_Science_and_Engineering_by__D._R._Askeland_and_P._P._Phule/Chapter_10_Solid_Solutions_and_Phase_Equilibrium_3.ipynb A _Essentials_of_Materials_Science_and_Engineering_by__D._R._Askeland_and_P._P._Phule/Chapter_11_Dispertion_Strengthening_and_Eutectic_Phase_Diagrams_2.ipynb A _Essentials_of_Materials_Science_and_Engineering_by__D._R._Askeland_and_P._P._Phule/Chapter_11_Dispertion_Strengthening_and_Eutectic_Phase_Diagrams_3.ipynb A _Essentials_of_Materials_Science_and_Engineering_by__D._R._Askeland_and_P._P._Phule/Chapter_12_Dispersion_Strengthening__by_Phase_Transmission_and_Heat_Treatment_2.ipynb A _Essentials_of_Materials_Science_and_Engineering_by__D._R._Askeland_and_P._P._Phule/Chapter_12_Dispersion_Strengthening__by_Phase_Transmission_and_Heat_Treatment_3.ipynb A 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author: FOSSEE SysAds 2015-12-08 15:04:13 +0600
committer: FOSSEE SysAds 2015-12-08 15:04:13 +0600
commit: af2e802cfaf390cbc43b476ec9f0c73c7e651d9f (patch)
tree: a024377882455868ac98f790805df5ee7cdf6f68 /Strength_Of_Materials_by_B_K_Sarkar/Chapter04.ipynb
parent: 2ea1980b3f812234480f978b7a0aff0ffca0a0eb (diff)
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+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:9d1e9166de88fe3eb1d6e3a8314a0008a724880e49b28b719205780766e82e15"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter No.4:Shearing Force And Bending Moment"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.1,Page No.89"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "\n",
+      "F_B=-10 #KN #Force at pt B\n",
+      "F_D=-20 #KN #Force at pt D\n",
+      "w_CB=5 #KN/m #u.d.l at CB\n",
+      "w_AE=40 #KN/m #u.d.l at AE\n",
+      "L_ED=L_CB=2 #m #Length of ED & CB\n",
+      "L_CD=1 #m #Length of CD\n",
+      "L_AE=3 #m #Length of AE\n",
+      "L=8 #m #span of beam\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=F_B #KN\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C=F_B-(w_CB*L_CB)\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D1=V_C\n",
+      "V_D2=V_C+F_D\n",
+      "\n",
+      "#Shear Force at E\n",
+      "V_E=V_D2\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=V_D-(w_AE*L_AE)\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=F_B*L_CB-w_CB*L_CB**2*2**-1\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=F_B*(L_CB+L_CD)-w_CB*L_CB*(L_CB*2**-1+L_CD)\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "M_E=F_B*(L_CB+L_CD+L_ED)-w_CB*L_CB*(L_CB*2**-1+L_CD+L_ED)+F_D*L_ED\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=F_B*L-w_CB*L_CB*(L_CB*2**-1+L_CD+L_ED+L_AE)+F_D*(L_AE+L_ED)-w_AE*(L_AE**2*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,L_CB,L_CB+L_DC,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED+L_AE,L_CB+L_DC+L_ED+L_AE]\n",
+      "Y1=[V_B,V_C,V_D1,V_D2,V_E,V_A,0]\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_C,M_D,M_E,M_A]\n",
+      "X2=[0,L_CB,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED+L_AE]\n",
+      "Z2=[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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54xh17tw5NDY2AgCuXr2K/Px8hIeHy5yqs+XLl6OmpgZVVVXYsmULJk6ciE2b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\nRK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x59f9130>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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Xwk8/wYIFWqexbpWOkpo6dSpBQUGEh4ejKAp79+4lMjKSmzdv4i1z7IUQ9YCT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\ngQMH6NKlS6nj7u7upKamkpq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+       "text": [
+        "<matplotlib.figure.Figure at 0x5549230>"
+       ]
+      }
+     ],
+     "prompt_number": 86
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.2,Page No.90"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "w_CB=1 #KN/m #u.d.l on Length CB\n",
+      "F_D=2 #KN #Pt Load at D\n",
+      "L_AD=L_DC=1 #m #Length of AD & DC\n",
+      "L_CB=2 #m #Length of CB\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=0 #KN\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C=-(w_CB*L_CB)\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D1=V_C\n",
+      "V_D2=V_C-F_D\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=V_D2 \n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=-w_CB*L_CB**2*2**-1\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=-w_CB*L_CB*(L_CB*2**-1+L_DC)\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=-w_CB*L_CB*(L_CB*2**-1+L_DC+L_AD)-F_D*L_AD\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_CB,L_CB+L_DC,L_CB+L_DC,L_CB+L_DC+L_AD,L_CB+L_DC+L_AD]\n",
+      "Y1=[0,V_C,V_D1,V_D2,V_A,0]\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",
+      "Y2=[M_B,M_C,M_D,M_A]\n",
+      "X2=[0,L_CB,L_CB+L_DC,L_CB+L_DC+L_AD]\n",
+      "Z2=[0,0,0,0]\n",
+      "plt.plot(X2,Y2)\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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mzJiBqKioXu8rYTytxaiUsXzkkUfw3HPPwc3N/Nd9f8bSKRKHrYsBr82mjl5E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\nEZEkTBxERCQJEwcREUnCxEFERJL8P6KhBCKbfJ61AAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x59c7d50>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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x9epV/Pzzz06t0xwlHEtLKOVYXr16FWPHjsWUKVOM/p9eKcfTXJ1KOZ6t/P39\nMWrUKOzbt6/d60o5nq1M1amE47lnzx4UFBQgJCQEEydOxJdffolp06a1e4+1x1P2QBg0aBCOHj0K\nvV6PhoYGbNy4EQ899FC79zz00ENYv349AGDv3r0ICAhAYGCg4uo8e/asIY1LSkoghDB67lFOSjiW\nllDCsRRCYMaMGYiKisKf//xno+9RwvG0pE4lHM8LFy6guroaAHD58mUUFhYiPj6+3XuUcDwtqVMJ\nx3PhwoWoqKjAyZMnsWHDBtx///2GY9fK2uMpy8K0dgV4eWHFihUYOXIkmpqaMGPGDERGRmLVqlUA\ngFmzZiEtLQ2ffPIJwsLC0L17d6xdu1aRdX788cdYuXIlvLy80K1bN2zYsMHpdU6cOBHFxcW4cOEC\n+vTpgwULFuDq1auGGpVwLC2pUwnHcvfu3fjggw9w1113Gb4QFi5ciJ9++slQpxKOpyV1KuF4VlZW\n4tFHH0VzczOam5sxdepUJCcnK+7/65bUqYTjeaPWU0H2HE8uTCMiIgAKOGVERETKwEAgIiIADAQi\nIrqGgUBERAAYCEREdA0DgYiIADAQyEUYu6WEI7355pu4fPmyVfvbsmWLydu5EykR1yGQS/Dz80Nt\nba1k2w8JCcG+ffvQs2dPp+yPSA7sEMhlHT9+HKmpqRg0aBDuu+8+HDlyBADw2GOP4dlnn8WQIUMQ\nGhqK3NxcAC13uHzyyScRGRmJESNGYNSoUcjNzUVOTg7OnDmDYcOGITk52bD9v/zlL4iLi0NSUhLO\nnTvXYf/r1q3D008/3ek+29Lr9ejfvz8ef/xx3HnnnZg8eTJ27NiBIUOGICIiAqWlpVIcJqLr7Hkw\nA5FS+Pr6dnjt/vvvF0ePHhVCtDwc5P777xdCCPHoo4+K8ePHCyGEOHz4sAgLCxNCCLF582aRlpYm\nhBCiqqpK3HzzzSI3N1cIIURwcLC4ePGiYdsajUZs3bpVCCHE7NmzxWuvvdZh/+vWrRNPPfVUp/ts\n6+TJk8LLy0scOnRINDc3i4SEBDF9+nQhhBD5+fli9OjR1h4WIqvIfi8jIinU1dXh66+/RkZGhuG1\nhoYGAC33fGm9I2hkZKThgSFfffUVxo8fDwCG++Cb4uPjg1GjRgEAEhISUFhY2Gk9pvZ5o5CQEERH\nRwMAoqOjMXz4cABATEwM9Hp9p/sgshcDgVxSc3MzAgICTD5D1sfHx/CzuDZG02g07e4dLzoZr3l7\next+9vBUYoPKAAABGUlEQVTwQGNjo9majO3zRl26dGm33dbPWLoPIntwhkAuqUePHggJCcHHH38M\noOUL+ODBg51+ZsiQIcjNzYUQAmfPnkVxcbHhb35+fqipqbGqhs4ChUiJGAjkEurr69GnTx/DP2++\n+SY+/PBDrFmzBnFxcYiJiUFBQYHh/W2fGtX689ixYxEUFISoqChMnToVAwcOhL+/PwDgD3/4Ax54\n4AHDUPnGzxt7CtWNr5v6+cbPmPpdiU+2I9fCy06J2rh06RK6d++OixcvIjExEXv27EGvXr3kLovI\nKThDIGrjwQcfRHV1NRoaGjBv3jyGAbkVdghERASAMwQiIrqGgUBERAAYCEREdA0DgYiIADAQiIjo\nGgYCEREBAP4f5wfdcfm2/kAAAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5549cb0>"
+       ]
+      }
+     ],
+     "prompt_number": 85
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.3,Page No.91"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "AC=5000 #N/m #u.v.l\n",
+      "L_AB=4 #m #Length of AB\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Consider a section at Distance x from B\n",
+      "#DB=x\n",
+      "#By similar triangles (triangle ABC and BDE) we get\n",
+      "\n",
+      "#Shear Force at x\n",
+      "#F_x=-DB*DE*2**-1\n",
+      "#After substituting values in above equation we get\n",
+      "#F_x=625*x**2\n",
+      "\n",
+      "#shear Force at B where x=0\n",
+      "V_B=0\n",
+      "\n",
+      "#shear Force at A where x=L_AB=4\n",
+      "V_A=625*L_AB**2\n",
+      "\n",
+      "#Bending Moment Calculation\n",
+      "\n",
+      "#M_x=DB*DE*DB*3**-1*2**-1\n",
+      "#Substituting values in above equation we get\n",
+      "#M_x=-625*x**3*3**-1\n",
+      "\n",
+      "#Bending Moment at B where x=0\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at A where x=L_AB=4\n",
+      "M_A=-625*L_AB**3*3**-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,L_AB]\n",
+      "Y1=[V_B,V_A]\n",
+      "Z1=[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_A]\n",
+      "X2=[0,L_AB]\n",
+      "Z2=[0,0]\n",
+      "plt.plot(X2,Y2)\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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a0ladcmjLmpoazJgxAzExMRg/fjx27NjR7Xrebk976pRDe16/fh0JCQmIi4uD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\nchl2KkRE5DL/D4FiVgDUzkokAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x59a61f0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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AERERxMfHU1BQQHp6Omlpadb2bTc3N1JSUlBKsXz5coYOHWp9TVxcHACrVq2i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\nwm7+H/JugJQ8mxQzAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x557b350>"
+       ]
+      }
+     ],
+     "prompt_number": 84
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.4,Page No.92"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "F_C=F_D=F_E=30 #KN #Pt Load at C,D,E respectively\n",
+      "L_AE=L_ED=L_DC=1.5 #m #Length of AE,ED,DC respectively\n",
+      "L_CB=0.5 #m #Length of CB\n",
+      "L_AC=4.5 #m #Length of AC\n",
+      "L_AD=3 #m #Length of AD\n",
+      "w=10 #KN/m #u.d.l\n",
+      "L=5 #m #Length of beam\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=0 #KN\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C1=-w_CB*L_CB\n",
+      "V_C2=-w*L_CB-F_C #KN\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D1=-w*(L_DC+L_CB)-F_C*L_DC\n",
+      "V_D2=-w*(L_DC+L_CB)-F_C-F_D #KN\n",
+      "\n",
+      "#Shear Force at E\n",
+      "V_E1=-w*(L_DC+L_CB+L_ED)-F_C*(L_DC+L_ED)\n",
+      "V_E2=-F_C-F_D-F_E-w*(2*L_ED+L_CB)\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=-w*L-F_C-F_D-F_E\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=-w*L_CB**2*2**-1\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=-w*(L_DC+L_CB)**2*2**-1-F_C*L_DC\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "M_E=-w*(L_DC+L_CB+L_ED)**2*2**-1-F_C*(L_ED+L_DC)-F_D*L_ED\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=-w*L**2*2**-1-F_C*L_AC-F_D*L_AD-F_E*L_AE\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_CB,L_CB,L_CB+L_DC,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED+L_AE,L_CB+L_DC+L_ED+L_AE]\n",
+      "Y1=[V_B,V_C1,V_C2,V_D1,V_D2,V_E1,V_E2,V_A,0]\n",
+      "Z1=[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_CB,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED+L_AE,L_CB+L_DC+L_ED+L_AE]\n",
+      "Y2=[M_B,M_C,M_D,M_E,M_A,0]\n",
+      "Z2=[0,0,0,0,0,0]\n",
+      "plt.plot(X2,Y2)\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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EqVOniIuLA2DixImsXr26WWr1Zt72P4M76bu4SN/FRd7+XbRpYz/L6pln4MMP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\nAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x59f97d0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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FRUVcccUVwC/DZ9esWcO0adMICAjAz8+Pp556igEDBgC/DKs9deoUiYmJLFiw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\nigAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x59a25b0>"
+       ]
+      }
+     ],
+     "prompt_number": 88
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.5,Page No.93"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "\n",
+      "w1=30 #KN/m #u.d.l on L_CB\n",
+      "F_C=120 #KN #Pt Load at C\n",
+      "w2=50 #KN/m #u.d.l on L_AD\n",
+      "L_DC=L_CB=2 #m #Length of DC and CB respectively\n",
+      "L_AD=4 #m #Length of AD\n",
+      "L_AB=L=8 #m #Length of beam\n",
+      "\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Let R_A & R_B be the reactions at A & B\n",
+      "#R_A+R_B=380\n",
+      "\n",
+      "#Taking Moment at A\n",
+      "#M_A=-R_B*L+F_C(L_DC+L_AD)+w1*L_CB*(L_CB*2**-1+L_DC+L_AD)+w2*L_AD**2*2**-1=0\n",
+      "\n",
+      "#After Rearranging the terms we get\n",
+      "R_B=(F_C*(L_DC+L_AD)+w1*L_CB*(L_CB*2**-1+L_DC+L_AD)+w2*L_AD**2*2**-1)*L**-1\n",
+      "R_A=380-R_B\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=R_B\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C1=-w1*L_CB+R_B\n",
+      "V_C2=R_B-w1*L_CB-F_C\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D=V_C2\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=V_D-w2*L_AD\n",
+      "\n",
+      "#Point of contraflexure \n",
+      "#Let E be the point EB=x\n",
+      "#Shear Force at E\n",
+      "#V_E=0=R_B-F_C-w1*L_CB-w2*(L_EB-L_DC-L_CB)\n",
+      "L_EB=-((-R_B+F_C+w1*L_CB)*w2**-1-L_DC-L_CB)\n",
+      "V_E=0\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=R_B*L_CB-w1*L_CB**2*2**-1\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=R_B*(L_CB+L_DC)-w1*L_CB*(L_CB*2**-1+L_DC)-F_C*L_DC\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=0\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "L_ED=L_EB-(L_DC+L_CB) #m #Length of ED\n",
+      "M_E=-w1*L_CB*(L_ED+L_DC+L_CB*2**-1)-F_C*(L_DC+L_ED)+R_B*L_EB\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_CB,L_CB,L_CB+L_DC,L_CB+L_DC+L_AD,L_CB+L_DC+L_AD]\n",
+      "Y1=[V_B,V_C1,V_C2,V_D,V_A,0]\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_CB,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_AD]\n",
+      "Y2=[M_B,M_C,M_D,M_E,M_A]\n",
+      "Z2=[0,0,0,0,0]\n",
+      "plt.plot(X2,Y2)\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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lZQFoP2X14YcfwtvbG1u3bsX06dMBtF9Wu2TJEjQ3N2PWrFl47733HB2biMij\nud3EPSIisg/Rr5KylYKCAqhUKiiVSmzatEnsOGYtW7YMAQEBCA8PFzuKWVVVVZg6dSrCwsIwevRo\np+3mbt26hfHjxyMyMhJqtRp/+MMfxI7UrdbWVmg0GtNFH85ILpdjzJgx0Gg0psvYnU1jYyPmz5+P\n0NBQqNVqFNvj5tW9dO7cOWg0GtPjoYcectr/jzIzMxEWFobw8HAsXLgQP/30k/md73PM2qm0tLQI\nISEhQkVFhWA0GoWIiAihvLxc7Fhd+vzzz4XS0lJh9OjRYkcxq7a2VigrKxMEQRCuX78ujBw50mn/\nPm/cuCEIgiDcvn1bGD9+vHD8+HGRE5n39ttvCwsXLhTi4+PFjmKWXC4Xrly5InaMbqWkpAjZ2dmC\nILT/e29sbBQ5UfdaW1uFwMBA4T//+Y/YUTqpqKgQgoODhVu3bgmCIAhJSUnCrl27zO7vFh1GSUkJ\nFAoF5HI5fHx88OSTTyI/P1/sWF2aPHkyBg0aJHaMbgUGBiIyMhIA4Ovri9DQUNTU1Iicqmv9+/cH\nABiNRrS2tprGxZxNdXU1/v73vyMtLc3p1zpz5nw//vgjjh8/jmXLlgEAvL298dBDD4mcqntHjx5F\nSEgIgoKCxI7Sib+/P3x8fHDz5k20tLTg5s2bkEqlZvd3i4JhMBg6/Mu4M+GPeq+yshJlZWUYP368\n2FG61NbWhsjISAQEBGDq1KlQq9ViR+rS7373O2zevNm0woGzkkgkmDZtGqKjo7Fjxw6x43RSUVGB\nYcOGYenSpRg7dix++9vf4ubNm2LH6lZOTo7TzjUbPHgwXnjhBfziF7/Aww8/jIEDB2LatGlm93fu\n/3qtJJFIxI7glpqamjB//nxs3boVvr6+YsfpkpeXF7766itUV1fj888/d8plGD777DMMHz4cGo3G\nqX97B4ATJ06grKwMhw8fxgcffIDjx4+LHamDlpYWlJaWIj09HaWlpRgwYAA2btwodiyzjEYjPv30\nUyxYsEDsKF26ePEitmzZgsrKStTU1KCpqQkfffSR2f3domBIpVJU3XUHkKqqqg5LiVDP3b59G/Pm\nzcNvfvMbJCYmih3HooceegizZ8/GmTNnxI7SyZdffolDhw4hODgYycnJOHbsGFJSUsSO1aURI0YA\nAIYNG4Y5c+agpKRE5EQdyWQyyGQyjBs3DgAwf/58lJaWipzKvMOHDyMqKgrDhg0TO0qXzpw5g4kT\nJ2LIkCHPpZ50AAAFAUlEQVTw9vbG3Llz8eWXX5rd3y0KRnR0NPR6PSorK2E0GpGbm4uEhASxY7ks\nQRCwfPlyqNVqrF69Wuw4Zl2+fBmNjY0AgObmZhw5cgQajUbkVJ1t2LABVVVVqKioQE5ODh599FH8\n5S9/ETtWJzdv3sT169cBADdu3EBhYaHTXc0XGBiIoKAgnD9/HkD7+EBYWJjIqcz75JNPkJycLHYM\ns1QqFYqLi9Hc3AxBEHD06NFuT+u6xT29vb298f7772P69OlobW3F8uXLERoaKnasLiUnJ6OoqAhX\nrlxBUFAQXnvtNSxdulTsWB2cOHECe/fuNV1eCbRfejdjxgyRk3VUW1uL1NRUtLW1oa2tDYsXL8Zj\njz0mdiyLnPUUan19PebMmQOg/dTPokWLEBcXJ3KqzrZt24ZFixbBaDQiJCQEO3fuFDtSl27cuIGj\nR4865VjQHREREUhJSUF0dDS8vLwwduxYrFixwuz+nLhHRERWcYtTUkREZH8sGEREZBUWDCIisgoL\nBhERWYUFg4iIrMKCQUREVmHBII9g76VNtmzZgubmZpt/3qeffurUy/WTZ+E8DPIIfn5+plnM9hAc\nHIwzZ85gyJAhDvk8IjGwwyCPdfHiRcycORPR0dF45JFHcO7cOQDAkiVLsGrVKkyaNAkhISHYv38/\ngPaVcdPT0xEaGoq4uDjMnj0b+/fvx7Zt21BTU4OpU6d2mGn+8ssvIzIyEhMmTMB///vfTp+/evVq\nvP766wCAf/zjH5gyZUqnfXbt2oVnn32221x3q6yshEqlwtKlSzFq1CgsWrQIhYWFmDRpEkaOHInT\np0/3/i+OPJed789B5BR8fX07bXv00UcFvV4vCIIgFBcXC48++qggCIKQmpoqJCUlCYIgCOXl5YJC\noRAEQRDy8vKEWbNmCYIgCHV1dcKgQYOE/fv3C4LQ+cZDEolE+OyzzwRBEIQ1a9YIb7zxRqfPv3nz\nphAWFiYcO3ZMGDVqlPD999932mfXrl3CM888022uu1VUVAje3t7Ct99+K7S1tQlRUVHCsmXLBEEQ\nhPz8fCExMdHi3xWROW6xlhRRTzU1NeHkyZMdlp02Go0A2td6urNCb2hoKOrr6wEAX3zxBZKSkgDA\ndP8Nc/r27YvZs2cDAKKionDkyJFO+zz44IPYsWMHJk+ejK1btyI4OLjbzOZy3Ss4ONi0IF9YWJjp\n/gajR49GZWVlt59B1B0WDPJIbW1tGDhwIMrKyrp8vW/fvqbnwv+G+SQSSYf7WQjdDP/5+PiYnnt5\neaGlpaXL/b755hsMGzbM6ht+dZXrXv369evw2XeO6S4HkTU4hkEeyd/fH8HBwfjrX/8KoP3L95tv\nvun2mEmTJmH//v0QBAH19fUoKioyvebn54dr1671KMMPP/yAd955x3TDoq7uPdFdUSJyNBYM8gg3\nb95EUFCQ6bFlyxZ89NFHyM7ORmRkJEaPHo1Dhw6Z9r97CfI7z+fNmweZTAa1Wo3Fixdj7NixpvtJ\nr1ixAjNmzDANet97/L1LmguCgLS0NLz99tsIDAxEdnY20tLSTKfFzB1r7vm9x5j72VmXVifXwMtq\niXrgxo0bGDBgAK5cuYLx48fjyy+/xPDhw8WOReQQHMMg6oFf//rXaGxshNFoxCuvvMJiQR6FHQYR\nEVmFYxhERGQVFgwiIrIKCwYREVmFBYOIiKzCgkFERFZhwSAiIqv8P7/rz5CLSgsrAAAAAElFTkSu\nQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x59f5d30>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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KuXh248wZdULrL3/ROokQru3ppyEwUF3RbKefHe2W2YLw66+/0rBhQ9PPHh4e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\npCAIIYQA4P8B6xCgR/uRzl4AAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5a39bd0>"
+       ]
+      }
+     ],
+     "prompt_number": 79
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.6,Page No.95"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "F_C=100 #KN #Pt Load at C\n",
+      "F_E=50 #KN #Pt Load at E\n",
+      "w=20 #KN/m\n",
+      "L_AE=L_AD=L_ED=L_DC=L_CB=2 #m #Length of AE,ED,DC,CB respectively\n",
+      "L=8 #m #Length of Beam\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Let R_A & R_B be the reactions at A & B\n",
+      "#R_A+R_B=190\n",
+      "\n",
+      "#Taking Moment at A\n",
+      "#M_A=-R_B*L+F_C*(3*L_AE)+w*L_DC*(L_DC*2**-1+2*L_ED)+F_E*L_AE=0\n",
+      "R_B=(F_C*(3*L_AE)+w*L_DC*(L_DC*2**-1+2*L_ED)+F_E*L_AE)*L**-1\n",
+      "R_A=190-R_B\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=R_B\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C1=R_B\n",
+      "V_C2=R_B-F_C\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D=V_C2-w*L_DC\n",
+      "\n",
+      "#Shear Force at E\n",
+      "V_E1=V_D\n",
+      "V_E2=V_D-F_E\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=V_E2\n",
+      "\n",
+      "#Point of contraflexure \n",
+      "#Let F be the point BF=x\n",
+      "#Shear Force at F\n",
+      "#V_F=R_B-F_C-w*(L_BF-L_CB)\n",
+      "L_FB=-((-R_B+F_C)*w**-1-L_CB)\n",
+      "V_F=0\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=R_B*L_CB\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=R_B*(L_CB+L_DC)-F_C*L_DC-w*L_DC**2*2**-1\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "M_E=R_B*(L_CB+L_DC+L_ED)-F_C*(L_ED+L_DC)-w*L_DC*(L_DC*2**-1+L_ED)\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=R_B*(L_ED+L_DC+L_AE+L_CB)-F_C*(L_ED+L_DC+L_AE)-w*L_DC*(L_DC*2**-1+L_ED+L_AE)-F_E*L_AE\n",
+      "\n",
+      "#Bending Moment at F\n",
+      "L_FC=L_FB-L_CB\n",
+      "M_F=R_B*L_FB-F_C*L_FC-w*L_FC**2*2**-1\n",
+      "L_DF=L_DC-L_FC\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_CB,L_CB,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED+L_AE]\n",
+      "Y1=[V_B,V_C1,V_C2,V_D,V_E1,V_E2,V_A]\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_CB,L_CB+L_FC,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_AD]\n",
+      "Y2=[M_B,M_C,M_F,M_D,M_E,M_A]\n",
+      "Z2=[0,0,0,0,0,0]\n",
+      "plt.plot(X2,Y2)\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": [
+        "<matplotlib.figure.Figure at 0x10b71b910>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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wQdqF2yi2Bw4DboyIw4C/AdN7u7heEsKLwJiKx2NIWglWJyTtAPwIuD0i7i47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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x10b759310>"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.7,Page No.96"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "w=20 #KN/m #u.d.l on Length  CB\n",
+      "F_D= 50 #KN #Pt Load at D\n",
+      "L_CB=5 #m #Length of CB\n",
+      "L_DC=3 #M #Length of DC\n",
+      "L_AD=2 #m #Length of AD\n",
+      "L=10 #m #Length of Beam\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "theta=arctan(4*3**-1)*(180*pi**-1)\n",
+      "F_DV=F_D*sin(theta*pi*180**-1) #Force at Pt D vertically\n",
+      "F_DH=F_D*cos(theta*pi*180**-1) #Force at pt D horizontally\n",
+      "\n",
+      "#Let R_A & R_B be the reactions at A & B\n",
+      "#R_A+R_B=140\n",
+      "\n",
+      "#Taking Moment at A\n",
+      "#M_A=0=-R_B*L+w*L_CB*(L_CB*2**-1+L_DC+L_AD)+F_DV*L_AD\n",
+      "R_B=(w*L_CB*(L_CB*2**-1+L_DC+L_AD)+F_DV*L_AD)*L**-1\n",
+      "R_A=140-R_B\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=R_B\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C=V_B-w*L_CB\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D1=V_C\n",
+      "V_D2=V_C-F_DV\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=V_D\n",
+      "\n",
+      "#Pt of Contraflexure\n",
+      "#Let E be the pt And BE=x\n",
+      "#V_E=0=R_B-w*x\n",
+      "x=L_BE=R_B*w**-1\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=R_B*L_CB-w*L_CB**2*2**-1\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=R_B*(L_CB+L_DC)-w*L_CB*(L_CB*2**-1+L_DC)\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=R_B*L-w*L_CB*(L_CB*2**-1+L_DC+L_AD)-F_DV*L_AD\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "M_E=R_B*L_BE-w*L_BE**2*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,L_CB,L_CB+L_DC,L_CB+L_DC,L_CB+L_DC+L_AD]                   \n",
+      "Y1=[V_B,V_C,V_D1,V_D2,V_A]\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",
+      "\n",
+      "#Plotting the Bendimg Moment Diagram\n",
+      "\n",
+      "X2=[0,L_BE,L_CB,L_CB+L_DC,L_CB+L_DC+L_AD]\n",
+      "Y2=[M_B,M_E,M_C,M_D,M_A]          \n",
+      "Z2=[0,0,0,0,0,0]\n",
+      "plt.plot(X2,Y2)\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": [
+        "<matplotlib.figure.Figure at 0x5692870>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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HwcHBuHTpErerPmHqVODwYWDDBvZvJlKKKbf/1MvJ51OnTmHlypX45ZdfMGPG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\ng48Y9u7di9deew0vv/yydro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+       "text": [
+        "<matplotlib.figure.Figure at 0x5687310>"
+       ]
+      }
+     ],
+     "prompt_number": 37
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.8,Page No.97"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "F_C=150 #KN #Pt LOad at C\n",
+      "w=300 #KN #u.v.l\n",
+      "L=6 #m #Length of beam\n",
+      "L_AE=L_DC=L_CB=1 #m #Lengthof AE,DC,CB\n",
+      "L_ED=3 #m #Length of ED\n",
+      "L_Ed=2 #m\n",
+      "L_dD=1 #m\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Let R_A & R_B be the reactions at A & B\n",
+      "#R_A+R_B=450\n",
+      "\n",
+      "#Taking Moment at A\n",
+      "#M_A=0=R_B*L-F_C*(L_CD+L_ED+L_AE)-w*(2*3**-1*L_ED+L_AE)\n",
+      "R_B=(F_C*(L_DC+L_ED+L_AE)+w*(2*3**-1*L_ED+L_AE))*L**-1\n",
+      "R_A=450-R_B\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=R_B\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C1=R_B\n",
+      "V_C2=R_B-F_C\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D=V_C2\n",
+      "\n",
+      "#Shear Force at E\n",
+      "V_E=V_D-w\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=V_E\n",
+      "\n",
+      "#Pt of contraflexure\n",
+      "#Let F be the pt and EF=x\n",
+      "#Let w1 be the rate of Loading at D we get\n",
+      "w1=w*2*3**-1\n",
+      "#The rate of Loading at distance x is200*x*3**-1\n",
+      "\n",
+      "#V_F=0=-R_B+200*x*3**-1*x*2**-1\n",
+      "#After substituting values and simplifying further we get\n",
+      "L_EF=x=(R_A*3*100**-1)**0.5\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=R_B*L_CB\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=R_B*(L_CB+L_DC)-F_C*L_DC\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "M_E=R_B*(L_CB+L_DC+L_ED)-F_C*(L_DC+L_ED)-w*L_Ed\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=0\n",
+      "\n",
+      "#Bending Moment at F\n",
+      "M_F=R_A*(L_AE+L_EF)-200*x*3**-1*x*2**-1*x*3**-1\n",
+      "\n",
+      "L_FD=L_ED-L_EF\n",
+      "\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_CB,L_CB,L_CB+L_CD,L_CB+L_CD+L_ED,L_CB+L_CD+L_ED+L_AE,L_CB+L_CD+L_ED+L_AE]                   \n",
+      "Y1=[V_B,V_C1,V_C2,V_D,V_E,V_A,0]\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_CB,L_CB+L_DC,L_FD+L_DC+L_CB,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED+L_AE]\n",
+      "Y2=[M_B,M_C,M_D,M_F,M_E,M_A]          \n",
+      "Z2=[0,0,0,0,0,0]\n",
+      "plt.plot(X2,Y2)\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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J4vTp0w5fh5MEiYhINa84bEVERO7F8CAiItUYHkREpBrDg4iIVGN4EBGRagwP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\nTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5a94790>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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37N+/nzfffJMjR46QkJBAVFQUmZmZREZGkpCQAEBGRgbr168nIyOD7du3M2PG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\nQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x561c550>"
+       ]
+      }
+     ],
+     "prompt_number": 132
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.9,Page No.99"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "M_C=40 #KNM #Moment at Pt C\n",
+      "w=20 #KNm #u.d.l on L_AD\n",
+      "L=10 #m #Length of beam\n",
+      "L_CB=5 #m #Length of CB\n",
+      "L_DC=1 #m #Length of DC\n",
+      "L_AD=4 #m #Length of AD\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Let R_A & R_B be the reactions at A & B\n",
+      "#R_A+R_B=80\n",
+      "\n",
+      "#Taking Moment at A\n",
+      "#M_A=0=R_B*L-M-w*L_AD**2*2**-1\n",
+      "R_B=(w*L_AD**2*2**-1+M_C)*L**-1\n",
+      "R_A=80-R_B\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=R_B\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C=V_B\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D=V_C\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=V_D-w*L_AD\n",
+      "\n",
+      "#Pt of contraflexure\n",
+      "#Let E be the pt and BE=x\n",
+      "#V_E=0=R_B-w*(L_BE-L_DC-L_CB)\n",
+      "L_BE=x=R_B*w**-1+L_DC+L_CB\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C1=R_B*L_CB\n",
+      "M_C2=M_C1-M_C\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=R_B*(L_CB+L_DC)-M_C\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=R_B*L-M_C-w*L_AD**2*2**-1\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "L_ED=L_BE-(L_DC+L_CB)\n",
+      "M_E=R_B*L_BE-M_C-w*L_ED**2*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,L_CB,L_CB+L_DC,L_CB+L_DC+L_AD,L_CB+L_DC+L_AD]                   \n",
+      "Y1=[V_B,V_C,V_D,V_A,0]\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",
+      "\n",
+      "#Plotting the Bendimg Moment Diagram\n",
+      "\n",
+      "X2=[0,L_CB,L_CB,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_AD]\n",
+      "Y2=[M_B,M_C1,M_C2,M_D,M_E,M_A]          \n",
+      "Z2=[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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gKChIdFgOM3XqVNx4441dthUXFyM9PR0AkJ6ejp07d/b6GS6VIIxGI4KDg02v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\nCCIiMosJgoiIzPp/LAeVCX7IXVUAAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5687390>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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lNTAxtMJegYj0yJ2pQdeJgb0CEelZZ1MDE8Mf2CsQkd65KzXoMjGwVyAio+hM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\nhwsDERHZ4cJARER2/h8J2LstD77CmgAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5565a90>"
+       ]
+      }
+     ],
+     "prompt_number": 35
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.10,Page No.100"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "w=10 #KNm #u.d.l on L_AD\n",
+      "F_D=20 #KN #Pt Load at D\n",
+      "M_C=240 #KNm #moment at Pt C\n",
+      "L_DC=L_CB=2 #m #Length of DC and CB\n",
+      "L_AD=4 #m #Length of AD\n",
+      "L=8 #m #Length of Beam\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Let R_A & R_B be the reactions at A & B\n",
+      "#R_A+R_B=60\n",
+      "\n",
+      "#Taking Moment at A\n",
+      "#M_A=0=-R_B*L-M_C+F_D*L_AD+w*L_AD**2*2**-1\n",
+      "R_B=-(M_C-F_D*L_AD-w*L_AD**2*2**-1)*L**-1\n",
+      "R_A=60-R_B\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=R_B\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C=V_B\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D1=V_B\n",
+      "V_D2=V_D1-F_D\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=V_D2-w*L_AD\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=0\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C1=R_B*L_CB\n",
+      "M_C2=M_C+R_B*L_CB\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=R_B*(L_DC+L_CB)+M_C\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=R_B*L+M_C-w*L_AD**2*2**-1-F_D*L_AD\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_CB,L_CB+L_DC,L_CB+L_DC,L_CB+L_DC+L_AD]                   \n",
+      "Y1=[V_B,V_C,V_D1,V_D2,V_A]\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",
+      "\n",
+      "#Plotting the Bendimg Moment Diagram\n",
+      "\n",
+      "X2=[0,L_CB,L_CB,L_CB+L_DC,L_CB+L_DC+L_AD,L_CB+L_DC+L_AD]\n",
+      "Y2=[M_B,M_C1,M_C2,M_D,M_A,0]          \n",
+      "Z2=[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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SExOVjmKXVqsVp0+fVjpGm9LT08XGjRuFENL/93PnzimcqHUNDQ1i8ODB4sSJ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\nrAAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5684b90>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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Lr+lu9SC9XmraOH0aKC1tu792DQgNBcLCAK227X7QIFv/ZPaJK68ROQ9zVl6z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\nIiIZQ4GIiGQMBSIikjEUiIhI9v+ebmxA5oKUQQAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x54a1290>"
+       ]
+      }
+     ],
+     "prompt_number": 34
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.11,Page No.101"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "F_C=5 #KN #Force at C\n",
+      "w=2 #KNm #u.d.l on beam\n",
+      "L_BC=3 #m #Length of BC\n",
+      "L_AB=6 #m #Length of AB\n",
+      "L=9 #m #Length of Beam\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Let R_A & R_B be the reactions at A & B\n",
+      "#R_A+R_B=23\n",
+      "\n",
+      "#Taking Moment at A\n",
+      "#M_A=0=F_C*L-R_B*L_AB+w*L**2*2**-1\n",
+      "R_B=-(-F_C*L-w*L**2*2**-1)*L_AB**-1\n",
+      "R_A=23-R_B\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C1=0\n",
+      "V_C2=-F_C\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=V_C2-w*L_BC**2*2**-1\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=F_C*L+R_B*L_AB-w*L**2*2**-1\n",
+      "\n",
+      "#Pt of contraflexure\n",
+      "#Let D be the pt And L_AD=x\n",
+      "#V_D=0=R_A+w*L_AD\n",
+      "L_AD=x=R_A*w**-1\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=0\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=-F_C*L_BC-w*L_BC**2*2**-1\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=-F_C*L-w*L**2*2**-1+R_B*L_AB\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "L_DC=L-L_AD\n",
+      "L_DB=L_DC-L_BC\n",
+      "M_D=-R_A*L_AD+w*L_AD**2*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,L_BC,L_BC+L_AB,L_BC+L_AB]                   \n",
+      "Y1=[V_C,V_B,V_A,0]\n",
+      "Z1=[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_DB,L_BC+L_AB]\n",
+      "Y2=[M_C,M_B,M_D,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()\n",
+      "\n",
+      "#The Bending moment in book is incorrect"
+     ],
+     "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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fmMOHD5uhQ4daXYrD+fPnzZEjR4wxxly6dMkMHDjQJ75XX331lTHGmPr6ejN2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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5a802b0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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gOtz92DH4vdGt0OjSJXj0UejTR+0+F8LeTFl9VLt2bWvrbOFcQkKgUyeYMkV3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\nQggrKQpCCCGs/j/tX4O/byA0EgAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x587df90>"
+       ]
+      }
+     ],
+     "prompt_number": 56
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.12,Page No.102"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "F_C=5 #KN #Pt Load at C\n",
+      "F_D=4 #KN #Pt Load at D\n",
+      "L_BC=1.25 #m #Length of BC\n",
+      "L_DB=1 #m #Length of DB\n",
+      "L_AD=3 #m #Length of AD\n",
+      "w=2 #KN/m #u.d.l\n",
+      "L=5.25 #m #Length of beam\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Let R_A & R_B be the reactions at A & B\n",
+      "#R_A+R_B=15\n",
+      "\n",
+      "#Taking Moment at A\n",
+      "#M_A=0=F_C*L-R_B*(L_DB+L_AD)+F_D*L_AD+w*L_AD**2*2**-1\n",
+      "R_B=-(-F_C*L-F_D*L_AD-w*L_AD**2*2**-1)*(L_DB+L_AD)**-1\n",
+      "R_A=15-R_B\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C=-F_C\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B1=V_C\n",
+      "V_B2=V_C+R_B\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D1=V_B2\n",
+      "V_D2=V_B2-F_D\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=-(w*L_AD)-F_D-F_C+R_B\n",
+      "\n",
+      "#Pt of contraflexure\n",
+      "#Let E be the pt and BE=x\n",
+      "#V_E=0=-F_C+R_B-F_D-w*(L_BE-L_DB)\n",
+      "L_BE=x=-((F_C-R_B+F_D)*w**-1-L_DB)\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=0\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=-F_C*L_BC\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=-F_C*(L_DB+L_BC)-R_B*L_DB\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=-F_C*L+R_B*(L_DB+L_AD)-F_D*L_AD-w*L_AD**2*2**-1\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "L_ED=L_BE-L_DB\n",
+      "M_E=-F_C*(L_BC+L_BE)+R_B*L_BE-F_D*(L_BE-L_DB)-w*(L_BE-L_DB)**2*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,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_C,V_B1,V_B2,V_D1,V_D2,V_A,0]\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_BC+L_DB,L_BC+L_DB+L_ED,L_BC+L_DB+L_AD]\n",
+      "Y2=[M_C,M_B,M_D,M_E,M_A]          \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()\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": [
+        "<matplotlib.figure.Figure at 0x57a1c30>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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E4ORJ+5j7IFKLKhPNFTub/8zPz6++uSzGoqBtV6+KPs4//AD4+spOU90TT4h9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\nZiLiAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x567dff0>"
+       ]
+      }
+     ],
+     "prompt_number": 39
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.13,Page No.103"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "F_E=20 #KN #Pt Load at E\n",
+      "F_C=30 #KN #Pt Load at C\n",
+      "F_B=60 #KN #Pt Load at B\n",
+      "L_AB=L_BC=L_CD=1.5 #m #Length of AB,BC,CD respectively\n",
+      "L_DE=2.5 #m #Length od DE\n",
+      "L_AD=4.5 #m #Length of AD\n",
+      "L=7 #m #Length of beam\n",
+      "w=30 #KN/m\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#LEt R_A and R_D be the reactions at A and D\n",
+      "#R_A+R_D=245\n",
+      "\n",
+      "#Taking moment at A\n",
+      "#M_A=0=-R_D*(L_BC+L_AB+L_CD)+F_E*L+w*L_Ad**2*2**-1+F_C*(L_AB+L_BC)+F_B*L_AB\n",
+      "R_D=-(-(F_E*L)-(w*L_AD**2*2**-1)-F_C*(L_AB+L_BC)-F_B*L_AB)*(L_BC+L_AB+L_CD)**-1\n",
+      "R_A=245-R_D\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_E1=0\n",
+      "V_E2=-F_E\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D1=V_E2\n",
+      "V_D2=V_E2+R_D\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C1=V_D2\n",
+      "V_C2=V_D2-F_C-w*L_CD\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B1=V_C2\n",
+      "V_B2=-F_E+R_D-F_C-w*(L_BC+L_CD)-F_B\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=-F_E-F_C-F_B-w*L_AD+R_D\n",
+      "\n",
+      "#Pt of contraflexure\n",
+      "#Let F be the pt and EF=x\n",
+      "#V_F=-F_E-F_C+R_D-w*L_FE+w*L_DE\n",
+      "L_FE=-(F_E+F_C-R_D-w*L_DE)*w**-1\n",
+      "L_FD=L_FE-L_DE\n",
+      "L_FC=L_FE-L_CD-L_DE\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "M_E=0\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=-F_E*L_DE\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=-F_E*(L_CD+L_DE)+R_D*L_CD-w*L_CD**2*2**-1\n",
+      "\n",
+      "#Bending Moment at F\n",
+      "M_F=-w*L_FD**2*2**-1-F_C*L_FC+R_D*L_FD-F_E*L_FE\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=-F_E*(L_DE+L_CD+L_BC)-F_C*L_BC+R_D*(L_CD+L_BC)-w*(L_BC+L_CD)**2*2**-1\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=-F_E*L+R_D*(L_AD)-F_C*(L_BC+L_AB)-F_B*L_AB-w*(L_AD)**2*2**-1\n",
+      "\n",
+      "#Bending Moment at F\n",
+      "M_F=-F_E*L_FE+R_D*L_FD-F_C*L_FC-w*L_FD**2*2**-1\n",
+      "\n",
+      "#Pt of contraflexure\n",
+      "#Let G be the pt and GE=y\n",
+      "#M_G=-F_E*L_GE+R_D*(L_GE-L_DE)-F_C*(L_GE-L_DE)**2*2**-1\n",
+      "#After substituting values and further simplifying we get\n",
+      "#y**2-12.9+29.35=0\n",
+      "a=1\n",
+      "b=-12.9\n",
+      "c=29.35\n",
+      "\n",
+      "X=b**2-4*a*c\n",
+      "\n",
+      "y1=(-b+X**0.5)*(2*a)**-1\n",
+      "y2=(-b-X**0.5)*(2*a)**-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_DE,L_DE,L_DE+L_CD,L_DE+L_CD,L_DE+L_CD+L_BC,L_DE+L_CD+L_BC,L_DE+L_CD+L_BC+L_AB,L_DE+L_CD+L_BC+L_AB]                   \n",
+      "Y1=[V_E1,V_E2,V_D1,V_D2,V_C1,V_C2,V_B1,V_B2,V_A,0]\n",
+      "Z1=[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_DE,L_DE+L_CD,L_DE+L_CD+L_FC,L_DE+L_CD+L_BC,L_DE+L_CD+L_BC+L_AB]\n",
+      "Y2=[M_E,M_D,M_C,M_F,M_B,M_A]          \n",
+      "Z2=[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()\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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ATKEwAACmUBgAAFMoDHQLnr5UyTPPPKMTJ06c95+3bt26Tnm5fnRNzMNAt9Cn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\nf8LLU3A+j4vPAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x588f3b0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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aqt1Hd4pCjRo1KpZURSwKpKbr18Vto23bxBm4RFoXEQGEhABvvVXycVWKwo0b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\nRHr/DzMnCmec/cF2AAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x54f18f0>"
+       ]
+      }
+     ],
+     "prompt_number": 71
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.14,Page No.105"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "L_DE=L_BC=2.5 #m #Length of DE & BC\n",
+      "L_CD=L_AB=5 #m #Length of CD & AB\n",
+      "F_C=F_B=80 #KN #Pt Load at C & B\n",
+      "w1=16 #KN/m #u.d.l on L_DE\n",
+      "w2=10 #KN/m #u.d.l on L_AB\n",
+      "L=10 #m #Length of beam\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#LEt R_A and R_D be the reactions at A and D\n",
+      "#R_A+R_D=250\n",
+      "\n",
+      "#Taking moment at A\n",
+      "#M_A=0=w1*L_DE*(L_DE*2**-1+L_CD+L_BC+L_AB)-R_D*(L_CD+L_BC+L_AB)+F_C*(L_BC+L_AB)+F_C*(L_BC+L_AB)+F_B*L_AB+w2*L_AB**2*2**-1\n",
+      "R_D=-(-w1*L_DE*(L_DE*2**-1+L_CD+L_BC+L_AB)-F_C*(L_BC+L_AB)-F_B*(L_AB)-w2*L_AB**2*2**-1)*(L_CD+L_BC+L_AB)**-1\n",
+      "R_A=250-R_D\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at E\n",
+      "V_E=0\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D1=-w1*L_DE\n",
+      "V_D2=-w1*L_DE+R_D\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C1=V_D2\n",
+      "V_C2=V_D2-F_C\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B1=V_C2\n",
+      "V_B2=V_C2-F_B\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A1=V_B2-w2*L_AB\n",
+      "V_A2=0\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "M_E=0\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D=-w1*L_DE**2*2**-1\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=R_D*L_CD-w1*L_DE*(L_DE*2**-1+L_CD)\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=-w1*L_DE*(L_DE*2**-1+L_CD+L_BC)+R_D*(L_CD+L_BC)-F_C*L_BC\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=-w1*L_DE*(L_DE*2**-1+L_CD+L_BC+L_AB)+R_D*(L_CD+L_BC+L_AB)-F_C*(L_BC+L_AB)-F_B*L_AB-w2*L_AB**2*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,L_FE,L_FE,L_DE+L_CD,L_DE+L_CD,L_DE+L_CD+L_BC,L_DE+L_CD+L_BC,L_DE+L_CD+L_BC+L_AB,L_DE+L_CD+L_BC+L_AB]                   \n",
+      "Y1=[V_E,V_D1,V_D2,V_C1,V_C2,V_B1,V_B2,V_A1,V_A2]\n",
+      "Z1=[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_DE,L_DE+L_CD,L_DE+L_CD+L_BC,L]\n",
+      "Y2=[M_E,M_D,M_C,M_B,M_A]          \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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WfS666CKKioro2LEjubm5JCUl8cknnzRWRBER+bkMG8XGxhq7du1q8PXS0lIj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\nrkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5639ad0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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XfA6RxlJ5iJxUW1tLp06d2Lx583m/36ZNG8fnxslThTab7Yy9QowL\nnEL09/d3fN6qVSuqq6udZjrfc56tbdu2Zzzuqfs09DlEGkPnPERO6tChAz169ODjjz8GzF/WW7du\nveB9brrpJpYuXYphGJSVlbFu3TrH99q3b8+RI0dcynCh8hHxJioPabEqKyvp3r274+O1117jww8/\nZP78+cTExBAVFUVmZqbj5+vurnbq81GjRhEcHIzdbmf8+PH07t3bsTf4Aw88wG233eY4YX72/c+3\nW9vZt9f3+dn3qe9r7bIp7qKpuiIX6dixY1x22WUcOHCA/v3789VXXzVoJzYRX6ZzHiIX6fbbb6e8\nvJyqqiqee+45FYe0CBp5iIiIy3TOQ0REXKbyEBERl6k8RETEZSoPERFxmcpDRERcpvIQERGX/X8G\nKtDsF20iLgAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x58b75b0>"
+       ]
+      }
+     ],
+     "prompt_number": 95
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.15,Page No.105"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "L=8 #m #Length of beam\n",
+      "L_AD=4 #m #Length of AD\n",
+      "w=300 #KN #u.d.l\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#Let R_A and R_C be the reactions at A and C\n",
+      "#R_A+R_C=300\n",
+      "\n",
+      "#Taking moment at A\n",
+      "#LEt x be the distance from Pt B L_CB=x\n",
+      "#R_C*(L-L_CB)=300*L*2**-1\n",
+      "#R_C=1200*(8-x)**-1\n",
+      "#After substituting values and further simplifying we get\n",
+      "#R_A=300-R_C\n",
+      "#R_A=1200-300*x*(8-x)**-1\n",
+      "\n",
+      "#B.M at D\n",
+      "#M_D=R_A*L_AD-w*2**-1*2=0\n",
+      "\n",
+      "#Now substituting value of R_A we get\n",
+      "#M_D=4*1200-300*x*(8-x)**-1-300=0\n",
+      "\n",
+      "#Further on simplification we get\n",
+      "L_CB=x=600*225**-1\n",
+      "\n",
+      "R_C=1200*(8-x)**-1\n",
+      "R_A=(1200-300*x)*(8-x)**-1\n",
+      "\n",
+      "#Pt of contraflexure\n",
+      "#Let E be the pt and BE=y\n",
+      "#V_E=0=-R_A*2**-1*L_BE+R_C\n",
+      "L_BE=R_C*(R_A*2**-1)**-1\n",
+      "L_AE=L-L_BE\n",
+      "L_AC=L-L_CB\n",
+      "L_EC=L_BE-L_CB\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B=0\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C1=-w\n",
+      "V_C2=-V_C1+R_C\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=-w+R_C\n",
+      "\n",
+      "#B.M at C\n",
+      "M_C=-w*L_CB\n",
+      "\n",
+      "#B.M at E\n",
+      "M_E=-R_A*L_AE+w*L_AE\n",
+      "\n",
+      "#B.M at A\n",
+      "M_A=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,L_CB,L_CB,L_CB+L_AC,L_CB+L_AC]                   \n",
+      "Y1=[V_B,V_C1,V_C2,V_A,0]\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",
+      "\n",
+      "#Plotting the Bendimg Moment Diagram\n",
+      "\n",
+      "X2=[0,L_CB,L_CB+L_EC,L_CB+L_AC]\n",
+      "Y2=[M_B,M_C,M_E,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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PJCUlUVRUBEB1dTWbNm2iurqa8vJyCgsLPRHp5ptvZt26ddTU1FBTU0N5ebkZ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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x541cd90>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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Qr1+/VlthlYYJg6TS0ACMGGEo0nv6abmjIbItq/phnDhxApGRkZgxYwYKCwsR\nHByMkJAQeHl52bw2g0gJWM1N1JrJEUZ4eDiSk5Nx7do1PPvsszhw4ABGjx6Nf/zjH3jqqafadOFT\nCo4wSAqs5iZXY9UIo6mpCRMmTMCsWbPwwAMPGE+RDQwMVPSUFJG1WM1N1D6TCeP2pCDVseZESicE\n8NvfAjNnAlFRckdDpCwmp6Tuuusu3HPPPQCAhoYG3H1btVJDQ4OxmZLSqFQqNDUJuJndMEzUVks1\n96lTAH9PIlci+S4pR6BSqeDvL/DCC8DcuYBEHWXJBVy6ZNgVdfAgC/TI9Vi1huHItmwBTp4EfH2B\nF14A/vEPuSMipWM1N5F5TpkwHnkE+Phj4JtvgD59gMhIYNIkYO9eoLlZ7uhIiVjNTWSeU05J3fkj\n3boFfPIJkJoKXLsGTldRK6zmJnLhKak79ehhmG7Iz+d0FbXW0pv73XeZLIjMcYmE0UKl4nQVtcZq\nbiLLucSUVEc4XeW6WM1N9DOX3VbblR9JCODECWDdOuCLL4CEBEPyCAy0QZAku6tXDbuhNm1igR4R\nwDWMTuF0letgNTdR13CE0QFOVzknVnMTtcUpKYlwusp5sJqbqH2ckpIIp6ucA6u5iawjW8JYt24d\ngoKCEBwcjFdeecV4PTk5GQEBAQgMDDS2hQWA06dPIyQkBAEBAVi8eLEcIQMA1Grgz38GysoMI40/\n/Ql46CFg7VrDtBUpF6u5iawkZHDo0CERFRUl9Hq9EEKIy5cvCyGE+O6778SwYcOEXq8XpaWlws/P\nTzQ3NwshhBg5cqTIzc0VQggxefJksX///naf294/UnOzEMeOCfHUU0L06SPE888Lce6cXUMgCxQU\nCNG/vxBlZXJHQqRMlrx3yjLC+OCDD7Bs2TJ4eHgAAPr37w8AyMzMRHx8PDw8PODj4wN/f3/k5uai\nqqoKN27cQEREBAAgMTERu3btkiP0Ntqbrho7ltNVSsJqbiJpyJIwiouLceTIEYwePRqRkZE4deoU\nAKCyshIajcb4OI1GA51O1+a6Wq2GTqeze9zmtExXXbrE6SolYTU3kTTcbfXE0dHRqK6ubnN95cqV\naGxsxL///W+cPHkS+fn5iIuLw/fffy/Zay9fvtz4eWRkJCIjIyV7bku0nF01Z87Pu6tWrODuKjlk\nZwMZGYZqbnYWJvpZTk4OcnJyOnWPzRJGdna2ye998MEHmDFjBgBg5MiRcHNzw7/+9S+o1WqUl5cb\nH1dRUQEdstxfAAANV0lEQVSNRgO1Wo2KiopW19Vqtcnnvz1hyKlluuqRRwCdDvjwQ8N0VWgosGgR\nMHky2BnQhtibm8i0O3+ZXrFihdl7ZHm7io2NxaFDhwAAFy5cgF6vR79+/TBt2jSkp6dDr9ejtLQU\nxcXFiIiIgLe3N3r16oXc3FwIIbBt2zbExsbKEXqX3T5dNXs2p6tsjdXcRNKTJWHMnz8f33//PUJC\nQhAfH4+tW7cCALRaLeLi4qDVajF58mSkpaVB9dM8QlpaGhYsWICAgAD4+/tj0qRJcoRuNR61bh/b\ntwNFRUBystyREDkPVnorQMt01fr1nK6SAqu5iTqPR4M4GJ5dZb2mJuCxx4ApU4CXX5Y7GiLHwaNB\nHAynq6zHam4i2+EIQ+E4XWU59uYm6jpOSTmRlumqtWuB69c5XXWnhgbDusWyZYaqbiLqHCYMJ9Ry\n1HpqKpCVxWLAFkuWAFVVQHo6C/SIuoJrGE6opRgwPb312VUTJ7ru2VUt1dwffMBkQWRLHGE4AVee\nrmJvbiJpcErKxbjadJUQwJNPGqro33tP7miIHBunpFyMq01XsZqbyL44wnByzjpdxWpuImlxSoqM\nnGm6itXcRNLjlBQZOdN0Fau5ieTBEYYLu3O66vnngXnzlD1dxWpuItvgCIM61HJ21alTjnF2FXtz\nE8mLCYMcZrqKvbmJ5MUpKWqX0qarsrMN7Va//prtVolsgbukyGpK2F3Fam4i2+MaBllN7ukq9uYm\nUg6OMKjT7DldtW0bsGqVYWG+Rw/pn5+IDDglRTZl6+kqVnMT2Q+npMimbDld1dRk2PL70ktMFkRK\nwREGSUqq6aq33jIknUOHgLvusk2sRPQzxY4w8vLyEBERgbCwMIwcORL5+fnG7yUnJyMgIACBgYHI\nysoyXj99+jRCQkIQEBCAxYsXyxE2WUCKYsDCQuCdd4CtW5ksiBRFyGDs2LHiwIEDQggh9u3bJyIj\nI4UQQnz33Xdi2LBhQq/Xi9LSUuHn5yeam5uFEEKMHDlS5ObmCiGEmDx5sti/f3+7zy3Tj9RpX375\npdwhWESKOCsqhPjDH4QYMECICROE+PxzIZqa2n9sfb0QWq0Q27bZN0Z7YJzSYpzSsuS9U5YRxgMP\nPIBr164BAGpra6FWqwEAmZmZiI+Ph4eHB3x8fODv74/c3FxUVVXhxo0biIiIAAAkJiZi165dcoQu\nmZycHLlDsIgUcarVwJ//bFjEnj0beP114KGHgDVrgJ/+GRh1pZrblf4u7YFxSstR4rSEuxwvmpKS\ngl/+8pf47//+bzQ3N+PEiRMAgMrKSowePdr4OI1GA51OBw8PD2g0GuN1tVoNnU5n97jJOi3TVXPm\n/Ly76o03ft5dVV5u6M399dfszU2kRDZLGNHR0aiurm5zfeXKlUhNTUVqaiqmT5+OTz/9FPPnz0d2\ndratQiGFadld9cgjgE4HfPihYXfVzZvArl08+oNIsewwNdaGp6en8fPm5mbRq1cvIYQQycnJIjk5\n2fi9iRMnipMnT4qqqioRGBhovP6///u/4rnnnmv3uf38/AQAfvCDH/zgRyc+/Pz8zL53yzIl5e/v\nj8OHD2Ps2LE4dOgQhgwZAgCYNm0aEhISsHTpUuh0OhQXFyMiIgIqlQq9evVCbm4uIiIisG3bNixa\ntKjd5y4pKbHnj0JE5DJkSRjr16/H888/j//85z+4++67sX79egCAVqtFXFwctFot3N3dkZaWBtVP\nk9lpaWmYO3cuGhoaEBMTg0mTJskROhGRy3K6wj0iIrINpzka5MCBAwgMDERAQABWrVoldzgmzZ8/\nH15eXggJCZE7FJPKy8sxbtw4DB06FMHBwUhNTZU7pHbdunULo0aNQmhoKLRaLZYtWyZ3SB1qampC\nWFgYpk6dKncoJvn4+ODhhx9GWFiYcRu70tTW1mLmzJkICgqCVqvFyZMn5Q6pjfPnzyMsLMz40bt3\nb8X+f5ScnIyhQ4ciJCQECQkJ+M9//mP6wV1btlaWxsZG4efnJ0pLS4VerxfDhg0TRUVFcofVriNH\njoiCggIRHBwsdygmVVVVicLCQiGEEDdu3BBDhgxR7N/nzZs3hRBC/Pjjj2LUqFHi6NGjMkdk2urV\nq0VCQoKYOnWq3KGY5OPjI3744Qe5w+hQYmKi2LBhgxDC8N+9trZW5og61tTUJLy9vcU///lPuUNp\no7S0VPj6+opbt24JIYSIi4sTmzdvNvl4pxhh5OXlwd/fHz4+PvDw8MBTTz2FzMxMucNq169+9Sv0\n6dNH7jA65O3tjdDQUABAz549ERQUhMrKSpmjat8999wDANDr9WhqasL9Ct2TW1FRgX379mHBggWK\nP+tMyfFdu3YNR48exfz58wEA7u7u6C1XG0gLHTx4EH5+fhg4cKDcobTRq1cveHh4oL6+Ho2Njaiv\nrzcWUrfHKRKGTqdr9R+jpeCPrFdWVobCwkKMGjVK7lDa1dzcjNDQUHh5eWHcuHHQarVyh9Su3//+\n93j77bfh5qbs/+VUKhWioqIwYsQIfPTRR3KH00ZpaSn69++PefPmYfjw4Xj22WdRX18vd1gdSk9P\nR0JCgtxhtOv+++/Hiy++iEGDBuHBBx/Efffdh6gOOpUp+1+vhVQsC7aJuro6zJw5E2vXrkXPnj3l\nDqddbm5uOHPmDCoqKnDkyBFFHsPw+eefY8CAAQgLC1P0b+8AcOzYMRQWFmL//v3461//iqNHj8od\nUiuNjY0oKCjAwoULUVBQgHvvvRcpKSlyh2WSXq/Hnj17MGvWLLlDadfFixexZs0alJWVobKyEnV1\nddixY4fJxztFwlCr1SgvLzd+XV5e3uooEeq8H3/8EU888QSefvppxMbGyh2OWb1798aUKVNw6tQp\nuUNp4/jx49i9ezd8fX0RHx+PQ4cOITExUe6w2vXAAw8AAPr374/p06cjLy9P5oha02g00Gg0GDly\nJABg5syZKCgokDkq0/bv34/w8HD0799f7lDaderUKTzyyCPo27cv3N3dMWPGDBw/ftzk450iYYwY\nMQLFxcUoKyuDXq/Hzp07MW3aNLnDclhCCDzzzDPQarVYsmSJ3OGY9K9//Qu1tbUAgIaGBmRnZyMs\nLEzmqNp68803UV5ejtLSUqSnp+Oxxx7D1q1b5Q6rjfr6ety4cQMAcPPmTWRlZSluN5+3tzcGDhyI\nCxcuADCsDwwdOlTmqEz7+OOPER8fL3cYJgUGBuLkyZNoaGiAEAIHDx7scFpXlsI9qbm7u+P999/H\nxIkT0dTUhGeeeQZBQUFyh9Wu+Ph4HD58GD/88AMGDhyIN954A/PmzZM7rFaOHTuG7du3G7dXAoat\nd0orlqyqqkJSUhKam5vR3NyMOXPmYPz48XKHZZZSp1Bramowffp0AIapn9mzZ2PChAkyR9XWunXr\nMHv2bOj1evj5+WHTpk1yh9Sumzdv4uDBg4pcC2oxbNgwJCYmYsSIEXBzc8Pw4cPxm9/8xuTjWbhH\nREQWcYopKSIisj0mDCIisggTBhERWYQJg4iILMKEQUREFmHCICIiizBhkMuy9XEna9asQUNDQ6de\nb8+ePYo+np9cG+swyGV5enoaK5ttwdfXF6dOnULfvn3t8npEtsYRBtFtLl68iMmTJ2PEiBF49NFH\ncf78eQDA3LlzsXjxYowZMwZ+fn7IyMgAYDgtd+HChQgKCsKECRMwZcoUZGRkYN26daisrMS4ceNa\nVZ//4Q9/QGhoKH7xi1/g8uXLbV5/8+bN+N3vftfha96urKwMgYGBmDdvHh566CHMnj0bWVlZGDNm\nDIYMGYL8/Hxb/DWRq7Jxfw4ixerZs2eba4899pgoLi4WQghx8uRJ8dhjjwkhhEhKShJxcXFCCCGK\nioqEv7+/EEKITz/9VMTExAghhKiurhZ9+vQRGRkZQoi2zYhUKpX4/PPPhRBCvPzyy+Ivf/lLm9ff\nvHmzeOGFFzp8zduVlpYKd3d38e2334rm5mYRHh4u5s+fL4QQIjMzU8TGxnb2r4XIJKc4S4pICnV1\ndThx4kSro6j1ej0Aw/lPLaf2BgUFoaamBgDw1VdfIS4uDgCMPTlM6datG6ZMmQIACA8PR3Z2dofx\nmHrNO/n6+hoP4Bs6dKixn0FwcDDKyso6fA2izmDCIPpJc3Mz7rvvPhQWFrb7/W7duhk/Fz8t/alU\nqlY9LkQHS4IeHh7Gz93c3NDY2Gg2pvZe807du3dv9bwt91j6GkSW4hoG0U969eoFX19f/N///R8A\nwxv02bNnO7xnzJgxyMjIgBACNTU1OHz4sPF7np6euH79eqdi6CjhEMmNCYNcVn19PQYOHGj8WLNm\nDXbs2IENGzYgNDQUwcHB2L17t/Hxtx9L3vL5E088AY1GA61Wizlz5mD48OHGHtO/+c1vMGnSJOOi\n9533t3fM+Z3XTX1+5z2mvlbqUerkmLitlshKN2/exL333osffvgBo0aNwvHjxzFgwAC5wyKSHNcw\niKz061//GrW1tdDr9Xj99deZLMhpcYRBREQW4RoGERFZhAmDiIgswoRBREQWYcIgIiKLMGEQEZFF\nmDCIiMgi/w/S42ZzlwktGgAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x5513cb0>"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem no 4.16,Page No.107"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "%matplotlib  inline\n",
+      "\n",
+      "#Initilization of variables\n",
+      "F_C=250 #KN #Pt LOad at C\n",
+      "M_D=120 #KNM #moment at Pt D\n",
+      "w=50 #KN/m #u.d.l 0n L_AD\n",
+      "L_DB=L_BC=2 #m #Length of DB & BC\n",
+      "L_AD=4 #m #Length of AD\n",
+      "L=8 #m #Length of beam\n",
+      "\n",
+      "#Calculations\n",
+      "\n",
+      "#LEt R_A and R_D be the reactions at A and D\n",
+      "#R_A+R_D=450\n",
+      "\n",
+      "#Taking moment at A\n",
+      "#M_A=0=-R_B*(L_DB+L_AD)+M_D+F_C*L+w*L_AD**2*2**-1\n",
+      "R_B=-(-M_D-F_C*L-w*L_AD**2*2**-1)*(L_DB+L_AD)**-1\n",
+      "R_D=450-R_B\n",
+      "\n",
+      "#Shear Force Calculations\n",
+      "\n",
+      "#Shear Force at C\n",
+      "V_C=-F_C\n",
+      "\n",
+      "#Shear Force at B\n",
+      "V_B1=V_C\n",
+      "V_B2=R_B-F_C\n",
+      "\n",
+      "#Shear Force at D\n",
+      "V_D=V_B2\n",
+      "\n",
+      "#Shear Force at A\n",
+      "V_A=-F_C+R_B-w*L_AD\n",
+      "\n",
+      "#Pt of contralfexure\n",
+      "#Let E be the pt and CE=x\n",
+      "#V_E=0=-F_C+R_B-w*(L_EC-L_DB-L_BC)\n",
+      "L_EC=-((+F_C-R_B)*w**-1-L_DB-  L_BC)\n",
+      "L_ED=L_EC-L_DB-L_BC\n",
+      "\n",
+      "#Bending Moment Calculations\n",
+      "\n",
+      "#Bending Moment at C\n",
+      "M_C=0\n",
+      "\n",
+      "#Bending Moment at B\n",
+      "M_B=-F_C*L_BC\n",
+      "\n",
+      "#Bending Moment at D\n",
+      "M_D1=-F_C*(L_BC+L_DB)+R_B*L_DB\n",
+      "M_D2=M_D1-M_D\n",
+      "\n",
+      "#Bending Moment at E\n",
+      "M_E=-F_C*L_EC+R_B*(L_ED+L_DB)-w*L_ED**2*2**-1-M_D\n",
+      "\n",
+      "#Bending Moment at A\n",
+      "M_A=0\n",
+      "\n",
+      "#Pt of contraflexure\n",
+      "#Let F be the pt and CF=y\n",
+      "#M_F=0=- F_C*L_FC+R_B*(L_FC-L_BC)-M_D-w*(L_FC-L_DB-L_BC)\n",
+      "#After substituting values and further simplifying we get equation as\n",
+      "#y**2-14.8*y+54.5=0\n",
+      "\n",
+      "a=1\n",
+      "b=-14.8\n",
+      "c=54.4\n",
+      "\n",
+      "X=b**2-4*a*c\n",
+      "\n",
+      "y1=(-b+X**0.5)*(2*a)**-1\n",
+      "y2=(-b-X**0.5)*(2*a)**-1\n",
+      "\n",
+      "#From above two equations y2 is taken into consideration\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_BC,L_BC,L_BC+L_DB,L_BC+L_DB+L_AD,L_BC+L_DB+L_AD]                   \n",
+      "Y1=[V_C,V_B1,V_B2,V_D,V_A,0]\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_BC,L_BC+L_DB,L_BC+L_DB,L_BC+L_DB+L_ED,L_BC+L_DB+L_AD,]\n",
+      "Y2=[M_C,M_B,M_D1,M_D2,M_E,M_A]          \n",
+      "Z2=[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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ELiLit0yfw3j55ZeZOHEiAKWlpdhsNtc+m81GSUlJne1Wq5WSkpJWj1VExJ8F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\nQ0REPPL/AYCLPN0YseBLAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x55131f0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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mly2TJwhbS2mp3IiXlianIf39rffaREowa+Pe3r17sWvXLmg0GvTq1Qvdu3e3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\nRkYGAgMD4ePjg9jYWDViO4V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+       "text": [
+        "<matplotlib.figure.Figure at 0x540da10>"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
author	FOSSEE SysAds	2015-12-08 15:04:13 +0600
committer	FOSSEE SysAds	2015-12-08 15:04:13 +0600
commit	af2e802cfaf390cbc43b476ec9f0c73c7e651d9f (patch)
tree	a024377882455868ac98f790805df5ee7cdf6f68 /Strength_Of_Materials_by_B_K_Sarkar/Chapter04.ipynb
parent	2ea1980b3f812234480f978b7a0aff0ffca0a0eb (diff)
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