From 974d3c380a72878d01f98594f485da7cffdf12d2 Mon Sep 17 00:00:00 2001 From: Trupti Kini Date: Mon, 7 Mar 2016 23:30:16 +0600 Subject: Added(A)/Deleted(D) following books A Advanced_Engineering_Chemistry__by_Dr._M.R._Senapati/README.txt A Electrical_Measurements_And_Measuring_Instruments_by_N._V._Suryanarayana/README.txt A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch1.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch10.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch11.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch12.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch13.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch2.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch3.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch4.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch5.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch6.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch7.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch8.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/Ch9.ipynb A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/screenshots/opNip3.png A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/screenshots/opNipV3.png A Electronic_Devices_And_Circuits_by_B._Kumar_And_S._B._Jain/screenshots/transferChar3.png A Engineering_Mechanics_of_Solids_by_Popov_E_P/Chapter1_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter10_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter11_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter12_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter13.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter2_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter4_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter5_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter6_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter7_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter8_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter9_1.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/charpter_3_2.ipynb A Engineering_Mechanics_of_Solids_by_Popov_E_P/screenshots/1.JPG A Engineering_Mechanics_of_Solids_by_Popov_E_P/screenshots/2.JPG A Engineering_Mechanics_of_Solids_by_Popov_E_P/screenshots/3.JPG A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/Chapter1_.ipynb A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/Chapter2_1.ipynb A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/Chapter3_1.ipynb A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/Chapter4&5_1.ipynb A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/Chapter6_1.ipynb A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/Chapter7_1.ipynb A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/Chapter8_1.ipynb A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/Chapter9_1.ipynb A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/screenshots/Screenshot_(1)_1.png A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/screenshots/Screenshot_(2)_1.png A Engineering_Physics_by_Prabir_K_Basu_&_Hrishikesh_Dhasmana/screenshots/Screenshot_(3)_1.png A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/Chapter_1_Circuit_Configuration_for_Linear_Integrated_Ciruits.ipynb A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/Chapter_1_Circuit_Configuration_for_Linear_Integrated_Ciruits_1.ipynb A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/Chapter_2_Applications_Of_Operational_Amplifier.ipynb A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/Chapter_2_Applications_Of_Operational_Amplifier_1.ipynb A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/Chapter_4_Analog_to_Digital_and_Digital_to_Analog_converters.ipynb A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/Chapter_4_Analog_to_Digital_and_Digital_to_Analog_converters_1.ipynb A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/Chapter_5_Special_Integrated_Circuits.ipynb A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/Chapter_5_Special_Integrated_Circuits_1.ipynb A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/screenshots/Chapter_1Circuit_Configuration_for_Linear_Integrated_Ciruits.png A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/screenshots/Chapter_2_Applications_Of_Operational_Amplifier.png A Linear_Integrated_Circuits_by_T._R._Ganesh_Babu/screenshots/Chapter_4_Analog_to_Digital_and_Digital_to_Analog_converters.png A The_Theory_of_Machines_by_T._Bevan/README.txt A Thermal_Engineering_by_S._l._Somasundaram/README.txt A _Nuclear_Chemistry_through_Problems_by__H._J._Arnikar_and_N._S._Rajurkar/README.txt A sample_notebooks/ebbygeorge/ch1_1.ipynb --- .../chapter13.ipynb | 215 +++++++++++++++++++++ 1 file changed, 215 insertions(+) create mode 100644 Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter13.ipynb (limited to 'Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter13.ipynb') diff --git a/Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter13.ipynb b/Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter13.ipynb new file mode 100644 index 00000000..eee745f5 --- /dev/null +++ b/Engineering_Mechanics_of_Solids_by_Popov_E_P/chapter13.ipynb @@ -0,0 +1,215 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:996c8013a65a6364550b3850a6d724fb8ccb944aba88d1755142b6b2b68c6a46" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 13: Statically Indeterminate Problems" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13.2 page number 693" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given \n", + "#First we will solve without the reaction at middle\n", + "#Given\n", + "import numpy\n", + "l_ab = 1.0 #2L in - The length of the beam\n", + "F_D = 1.0 #W lb/in - The force distribution \n", + "F = F_D*l_ab #WL - The force applied\n", + "#Beause of symmetry the moment caliculations can be neglected\n", + "#F_Y = 0\n", + "R_A = F/2 #wl - The reactive force at A\n", + "R_B = F/2 #wl - The reactive force at B\n", + "#EI - The flxure rigidity is constant and 1/EI =1 # k\n", + "\n", + "#part - A\n", + "#section 1--1\n", + "l_1 = [0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1] #L taking each section at 0.2L distance \n", + "M_1 = [0,0,0,0,0,0,0,0,0,0,0]\n", + "v = [0,0,0,0,0,0,0,0,0,0,0]\n", + "for i in range(10):\n", + " v[i] = R_A - F_D*l_1[i] \n", + " M_1[i] = R_A*l_1[i] - F_D*(l_1[i]**2)/2\n", + "# (EI)y'' = M_1[i] we will integrate M_1[i] twice where variable is l_1[i]\n", + "#(EI)y'- \n", + "\n", + "M_1_intg1 = R_A*(l_1[i]**2)/4 - F_D*(l_1[i]**3)/6 - F_D*(l_ab**3)*l_1[i]/24 #integration of x**n = x**n+1/n+1\n", + "#(EI)y- Using end conditions for caliculating constants \n", + "\n", + "M_1_intg2 = R_A*(l_1[i]**3)/12.0 - F_D*(l_1[i]**4)/24.0 + F_D*(l_ab**3)*l_1[i]/24.0 \n", + "#Equations \n", + "\n", + "l_1 = [0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1] #L taking each section at 0.2L distance \n", + "M_1_intg2 = [0,0,0,0,0,0,0,0,0,0,0]\n", + "Y = [0,0,0,0,0,0,0,0,0,0,0]\n", + "for i in range(10):\n", + " M_1_intg2[i] = (l_1[i]**3)/12.0 - (l_1[i]**4)/24.0 - l_1[i]/24.0 # discluding every term for ruling out float values\n", + " Y[i] = M_1_intg2[i] #W(l**4)/EI k = 1/EI\n", + "Y_min = 16*min(Y)\n", + "print \"a) The maximum displacement in y direction is\",16*min(Y),\"W(l**4)/EI \"\n", + "print \"a) The maximum deflection occured at\",2*l_1[Y.index(min(Y))],\"L\"\n", + "f_bb = 2**3/48.0 #l**3/EI - flexibility coefficient\n", + "Reac = - Y_min/f_bb #WL , The reaction at the mid of the bar\n", + "print \"The reaction at the mid of the bar\",Reac ,\"WL\"\n", + "\n", + "#Graphs \n", + "Y.extend(Y) #Because of symmetry\n", + "import numpy as np\n", + "values = Y \n", + "y = np.array(values)\n", + "t = np.linspace(0,1,22)\n", + "poly_coeff = np.polyfit(t, y, 2)\n", + "import matplotlib.pyplot as plt\n", + "plt.plot(t, y, 'o')\n", + "plt.plot(t, np.poly1d(poly_coeff)(t), '-')\n", + "plt.show()\n", + "print \"b)The above graph is beam displacement graph\"\n", + "print \"b)The minimum occures in the middle from the above graph \"\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "a) The maximum displacement in y direction is -0.208333333333 W(l**4)/EI \n", + "a) The maximum deflection occured at 1.0 L\n", + "The reaction at the mid of the bar 1.25 WL\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "b)The above graph is beam displacement graph\n", + "b)The minimum occures in the middle from the above graph \n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13.3 page number 694 " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given \n", + "#First we will solve without the reaction at middle\n", + "#Given\n", + "import numpy\n", + "l_ab = 1.0 #2L in - The length of the beam\n", + "F_D = 1.0 #W lb/in - The force distribution \n", + "F = F_D*l_ab #WL - The force applied\n", + "#Beause of symmetry the moment caliculations can be neglected\n", + "#F_Y = 0\n", + "R_A = F/2 #wl - The reactive force at A\n", + "R_B = F/2 #wl - The reactive force at B\n", + "#EI - The flxure rigidity is constant and 1/EI =1 # k\n", + "\n", + "#part - A\n", + "#section 1--1\n", + "l_1 = [0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1] #L taking each section at 0.2L distance \n", + "M_1 = [0,0,0,0,0,0,0,0,0,0,0]\n", + "v = [0,0,0,0,0,0,0,0,0,0,0]\n", + "for i in range(10):\n", + " v[i] = R_A - F_D*l_1[i] \n", + " M_1[i] = R_A*l_1[i] - F_D*(l_1[i]**2)/2\n", + "# (EI)y'' = M_1[i] we will integrate M_1[i] twice where variable is l_1[i]\n", + "#(EI)y'- \n", + "\n", + "M_1_intg1 = R_A*(l_1[i]**2)/4 - F_D*(l_1[i]**3)/6 - F_D*(l_ab**3)*l_1[i]/24 #integration of x**n = x**n+1/n+1\n", + "#(EI)y- Using end conditions for caliculating constants \n", + "\n", + "M_1_intg2 = R_A*(l_1[i]**3)/12.0 - F_D*(l_1[i]**4)/24.0 + F_D*(l_ab**3)*l_1[i]/24.0 \n", + "#Equations \n", + "\n", + "l_1 = [0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1] #L taking each section at 0.2L distance \n", + "M_1_intg2 = [0,0,0,0,0,0,0,0,0,0,0]\n", + "Y = [0,0,0,0,0,0,0,0,0,0,0]\n", + "for i in range(10):\n", + " M_1_intg2[i] = (l_1[i]**3)/12.0 - (l_1[i]**4)/24.0 - l_1[i]/24.0 # discluding every term for ruling out float values\n", + " Y[i] = M_1_intg2[i] #W(l**4)/EI k = 1/EI\n", + "e_1 = 16*min(Y) #WL4/EI - The maximum defection \n", + "e_2 = - F_D*((2*l_ab)**3)/24.0 #WL3/EI - The maximum angle\n", + "#Caliculating for momentum and force\n", + "f_ab = ((2*l_ab)**2)/16.0 #L2/EI \n", + "f_bb = ((2*l_ab)**3)/48.0 #L3/EI \n", + "f_aa = 2*l_ab/3.0 #L/EI\n", + "f_ba = ((l_ab)**2)/4.0 #L2/EI\n", + "#F*X = e - Matrix multiplication \n", + "#Solving for X\n", + "a = np.array([[f_aa,f_ba], [f_ba,f_bb]])\n", + "b = np.array([e_2,e_1])\n", + "x = np.linalg.solve(a, b)\n", + "print \"The reactive moment at A i.e M_A\",x[0],\"WL**2\"\n", + "print \"The reactive force at A i.e R_A\",x[1],\"WL\"\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The reactive moment at A i.e M_A -0.0714285714286 WL**2\n", + "The reactive force at A i.e R_A -1.14285714286 WL\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given \n" + ], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit