From 47d7279a724246ef7aa0f5359cf417992ed04449 Mon Sep 17 00:00:00 2001 From: hardythe1 Date: Wed, 3 Jun 2015 15:27:17 +0530 Subject: add books --- .../Chapter5.ipynb | 228 +++++++++++++++++++++ 1 file changed, 228 insertions(+) create mode 100755 Advanced_Strength_and_Applied_Elasticity/Chapter5.ipynb (limited to 'Advanced_Strength_and_Applied_Elasticity/Chapter5.ipynb') diff --git a/Advanced_Strength_and_Applied_Elasticity/Chapter5.ipynb b/Advanced_Strength_and_Applied_Elasticity/Chapter5.ipynb new file mode 100755 index 00000000..0c66212b --- /dev/null +++ b/Advanced_Strength_and_Applied_Elasticity/Chapter5.ipynb @@ -0,0 +1,228 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:4defd5409de6787753d9afa80f45fd44de9564eee21481b5ef4ed48087f19bda" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter5-Bending of Beams" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex1-pg128" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#calculate meter and sigma \n", + "Mz=11000. ##Nm\n", + "A1=0.13*0.02 ##m\n", + "A2=0.15*0.02 ##m\n", + "z1=0.01 ##m\n", + "z2=0.075 ##m\n", + "yA=0.043 ##m\n", + "zA=-0.106 ##m\n", + "yB=-0.063 ##m\n", + "zB=0.\n", + "\n", + "##location of the centroid\n", + "z=(A1*z1+A2*z2)/(A1+A2)\n", + "print'%s %.2f %s'%(\"in meter is= \",z,\"\")\n", + "\n", + "Iz=(0.02*(0.13)**3)/12.+ (0.13*0.02*(0.04)**2)+(0.15*(0.02)**3.)/12.+ (0.15*0.02*(0.035)**2.)\n", + "print'%s %.5f %s'%(\"Iz in meter^4 is= \",Iz,\"\")\n", + "Iy=(0.02*(0.13)**3)/12.+ (0.13*0.02*(0.04)**2)+(0.15*(0.02)**3)/.12+ (0.15*0.02*(0.035)**2.)\n", + "print'%s %.5f %s'%(\"Iy in meter^4 is= \",Iy,\"\")\n", + "Iyz=0+A1*0.04*(-0.035)+0+A2*(-0.035)*0.03\n", + "print'%s %.2f %s'%(\"Iyz in meter^4 is= \",Iyz,\"\")\n", + "##thetap=(atand((-2*Iyz)/(Iz-Iy)))/2\n", + "##print'%s %.2f %s'%(thetap)\n", + "I1=(Iz+math.sqrt(0.+(6.79*10**-6)**2.))\n", + "print'%s %.5f %s'%(\"I1 in meter^4 is= \",I1,\"\")\n", + "I2=(Iz-math.sqrt(0+(6.79*10**-6)**2))\n", + "print'%s %.6f %s'%(\"I2 in meter^4 is= \",I2,\"\")\n", + "My1=11000.*math.sin(45/57.3)\n", + "print'%s %.2f %s'%(\"My1 in Nm is\",My1,\"\")\n", + "Mz1=11000*math.sin(45/57.3)\n", + "print'%s %.2f %s'%(\"Mz1 in Nm is\",Mz1,\"\")\n", + "\n", + "sigmaxA=((My1*(zA))/I1)-((Mz1*yA)/I2)\n", + "print'%s %.2f %s'%(\"sigmaxA in MPa is\",sigmaxA,\"\")\n", + "sigmaxB=0-((My1*yB)/I2)\n", + "print'%s %.2f %s'%(\"sigmaxB in MPa is\",sigmaxB,\"\")\n", + "\n", + "My=0.\n", + "y=((Mz*Iyz)*z)/(Mz*Iy) ##.......equal to z=-1.71y\n", + "print'%s %.3f %s'%(\"y\",y,\"\")\n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "in meter is= 0.04 \n", + "Iz in meter^4 is= 0.00001 \n", + "Iy in meter^4 is= 0.00002 \n", + "Iyz in meter^4 is= -0.00 \n", + "I1 in meter^4 is= 0.00002 \n", + "I2 in meter^4 is= 0.000005 \n", + "My1 in Nm is 7777.72 \n", + "Mz1 in Nm is 7777.72 \n", + "sigmaxA in MPa is -114417761.50 \n", + "sigmaxB in MPa is 101941050.82 \n", + "y -0.014 \n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex4-144" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#calculate the distance \n", + "import scipy\n", + "from scipy import integrate\n", + "t=1.25 ##mm\n", + "y=15.87 ##mm\n", + "z=5.28 ##mm\n", + "Iy=4765.62 ##mm**4\n", + "Iz=21054.69 ##mm**4\n", + "Iyz=3984.37 ##mm**4\n", + "thetap=13.05 ##degree\n", + "Iy1=3828.12 ##mm**4\n", + "Iz1=21953.12##mm**4\n", + "s=12.5\n", + "\n", + "##tau=(Vy/Iz1*t)*s*t(19.55+s*asind(13.05)/2)....equation 1\n", + "##F1=integrate((tau*t)ds)\n", + "def fun(s):\n", + "\ty=(0)\n", + "\treturn y\n", + "x=scipy.integrate.quad(fun,0,1)\n", + "x=x[0]\n", + "##F1=0.0912*Vy1 substituting the value of tau we get F1\n", + "##Vy1*ez1=37.5*F1 substituting the value of F1 we get ez1\n", + "ez1=37.5*0.0912\n", + "print'%s %.2f %s'%(\"the distance in mm is= \",ez1,\"\")\n", + "\n", + "##tau=(Vz1/Iy1*t)*s*t(12.05-s*asind(13.05)/2)....equation 2\n", + "##F1=integrate((tau*t)ds)\n", + "def fun(s):\n", + "\ty=(0)\n", + "\treturn y\n", + "x=scipy.integrate.quad(fun,0,1)\n", + "x=x[0]\n", + "\n", + "##F1=0.204*Vz1 substituting the value of tau we get F1\n", + "##Vz1*ey1=37.5*F1 substituting the value of F1 we get ez1\n", + "ey1=37.5*0.204\n", + "print'%s %.2f %s'%(\"the distance in mm is= \",ey1,\"\")\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "the distance in mm is= 3.42 \n", + "the distance in mm is= 7.65 \n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Ex5-pg154" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#calculate stress and meter\n", + "import scipy\n", + "from scipy import integrate\n", + "P=70. ##kN\n", + "c=0.05##m\n", + "c1=c\n", + "c2=c\n", + "R=0.1+0.05\n", + "A=0.005\n", + "\n", + "##m=(-1/(2*c))*integrate((y/R+y)dy)\n", + "def fun(c):\n", + "\ty=(-c)\n", + "\treturn y\n", + "\n", + "x=scipy.integrate.quad(fun,0,1)\n", + "m=-1.+(R/2.*c)*math.log((R+c)/(R-c))\n", + "print'%s %.2f %s'%(\"m\",m,\"\")\n", + "##m=(-1/(2*c))*integrate((y/R)-(y**2/R**2)+(y**3/R**3)-(y**4/R**4)+.....)dy)\n", + "m=-1+(3/2.)*math.log(2.)\n", + "print'%s %.3f %s'%(\"m\",m,\"\")\n", + "\n", + "M=P*R\n", + "print'%s %.2f %s'%(\"M\",M,\"\")\n", + "sigmatheta1=(-P*c2)/(m*A*(R-c1))\n", + "print'%s %.2f %s'%(\"stress in Pa is= \",sigmatheta1,\"\")\n", + "sigmatheta2=(P*c2)/(m*A*(R+c2))\n", + "print'%s %.2f %s'%(\"stress in Pa is= \",sigmatheta2,\"\")\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "m -1.00 \n", + "m 0.040 \n", + "M 10.50 \n", + "stress in Pa is= -176230.22 \n", + "stress in Pa is= 88115.11 \n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit