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diff --git a/Statics_And_Strength_Of_Materials/ch8.ipynb b/Statics_And_Strength_Of_Materials/ch8.ipynb new file mode 100755 index 00000000..04957e57 --- /dev/null +++ b/Statics_And_Strength_Of_Materials/ch8.ipynb @@ -0,0 +1,401 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:a09e16c002c633d5d63dac7b4f943159d57261807392bec341e8052ebf397939" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 8 : Concept of Stress" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.1 Page No : 158" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "F = -100 \t\t\t#lb\n", + "x1 = 3 \t\t\t#in\n", + "y = 6 \t\t\t#in\n", + "x2 = 24 \t\t\t#in\n", + "x3 = 12 \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "Force = -F\n", + "Moment = -F*(x2+x1)\n", + "Torque = -F*y\n", + "\t\t\t\n", + "# Results\n", + "print 'Force = %.2f lb'%(Force)\n", + "print 'Moment =%.2f lb.in'%(Moment)\n", + "print 'Torque =%.2f lb.in'%(Torque)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Force = 100.00 lb\n", + "Moment =2700.00 lb.in\n", + "Torque =600.00 lb.in\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.2 Page No : 159" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "F = -5000. \t\t\t#lb\n", + "D = 250. \t\t\t#lb/ft\n", + "y1 = 4. \t\t\t#in\n", + "y2 = 2. \t\t\t#in\n", + "y3 = 5. \t\t\t#in\n", + "y4 = 3. \t\t\t#in\n", + "x = 3. \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "Ax = -D*y1\n", + "Ay = -F\n", + "M = (D*y1*(y2+y3+y1/2.))-F*x\n", + "\t\t\t\n", + "# Results\n", + "print 'Ax = %.2f lb'%(Ax)\n", + "print 'Ay =%.2f lb'%(Ay)\n", + "print 'M =%.2f lb.in'%(M)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Ax = -1000.00 lb\n", + "Ay =5000.00 lb\n", + "M =24000.00 lb.in\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.3 Page No : 160" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "# Variables\n", + "P = 5 \t\t\t#kips\n", + "angle = 30 \t\t\t#degrees\n", + "\t\t\t\n", + "# Calculations\n", + "Fn = P*math.sin(math.radians(angle))\n", + "Ft = P*math.cos(math.radians(angle))\n", + "\t\t\t\n", + "# Results\n", + "print 'Fn = %.2f lb'%(Fn)\n", + "print 'Ft =%.2f lb'%(Ft)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Fn = 2.50 lb\n", + "Ft =4.33 lb\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.4 Page No : 162" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "# Variables\n", + "p = 5. \t\t\t#tons\n", + "dt = 0.75 \t\t\t#in\n", + "db = 0.5 \t\t\t#in\n", + "b = 0.5 \t\t\t#in\n", + "h = 2. \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "Sc = p*2000/((math.pi/4)*(dt**2))\n", + "Sr = p*2000/(b*h)\n", + "Sb = p*2000/(2*(math.pi/4)*db**2)\n", + "\t\t\t\n", + "# Results\n", + "print 'Stress in circular scetion = %.2f psi tension'%(round(Sc,-2))\n", + "print 'Stress in rectangular section = %.2f psi tension'%(Sr)\n", + "print 'Stress in bolt = %.2f psi tension'%(round(Sb,-2))\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stress in circular scetion = 22600.00 psi tension\n", + "Stress in rectangular section = 10000.00 psi tension\n", + "Stress in bolt = 25500.00 psi tension\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.5 Page No : 168" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "w = 8 \t\t\t#in\n", + "wperft = 35. \t\t\t#lb/ft\n", + "A = 10.3 \t\t\t#sq in\n", + "F1 = 3. \t\t\t#tons\n", + "F2 = 3. \t\t\t#tons\n", + "F3 = -8. \t\t\t#tons\n", + "F4 = -8. \t\t\t#tons\n", + "F5 = -5. \t\t\t#tons\n", + "F6 = -5. \t\t\t#tons\n", + "Pl = 12. \t\t\t#in\n", + "Pb = 12. \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "Sa = (F1+F2)*2000/A\n", + "Sb = -(F3+F4+F1+F2)*2000/A\n", + "Sc = -(F3+F4+F1+F2+F5+F6)*2000/A\n", + "Sp = -(F3+F4+F1+F2+F5+F6)*2000/(Pl*Pb)\n", + "\t\t\t\n", + "# Results\n", + "print 'Stress in a = %.2f psi tension'%(round(Sa,-1))\n", + "print 'Stress in b = %.2f psi tension'%(round(Sb,-1))\n", + "print 'Stress in c = %.2f psi tension'%(round(Sc,-1))\n", + "print 'Stress in plate = %.f psi tension'%(Sp)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Stress in a = 1170.00 psi tension\n", + "Stress in b = 1940.00 psi tension\n", + "Stress in c = 3880.00 psi tension\n", + "Stress in plate = 278 psi tension\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.6 Page No : 166" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "# Variables\n", + "Ns = 8000. \t\t\t#psi\n", + "Ss = 4000. \t\t\t#psi\n", + "Ws = 25000. \t\t\t#psi\n", + "angle = 30. \t\t\t#degrees\n", + "L = 4. \t\t\t#in\n", + "b = 1. \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "P = Ns*L*b/((math.cos(math.radians(2*angle)))**2)\n", + "P1 = 2*Ss*L*b/(math.sin(math.radians(2*angle)))\n", + "Pts = Ws*L*b\n", + "e = P1/Pts\n", + "\t\t\t\n", + "# Results\n", + "if (P<P1):\n", + " print 'P = %.2f lb'%(round(P,-3))\n", + "else:\n", + " print 'P1 = %.2f lb'%(round(P1,-3))\n", + "\n", + "print 'efficiency of the joint = %.2f '%(e)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "P1 = 37000.00 lb\n", + "efficiency of the joint = 0.37 \n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.7 Page No : 167" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "T = 15000 \t\t\t#psi\n", + "h1 = 3 \t\t\t#in\n", + "h2 = 2.5 \t\t\t#in\n", + "t = 0.25 \t\t\t#in\n", + "r = 5/16. \t\t\t#in\n", + "d = 1. \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "P1 = T*(h1-d)*t/2.18\n", + "P2 = T*h2*t/1.7\n", + "if (P1<P2):\n", + " print 'Safe axial load = %.f lb'%(P1)\n", + "else: \n", + " print 'Safe axial load = %.f lb'%(P2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Safe axial load = 3440 lb\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 8.8 Page No : 174" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "d = 16. \t\t\t#ft\n", + "h = 24. \t \t\t#ft\n", + "P = 160. \t\t\t#lb/cu ft\n", + "hs1 = 8. \t\t\t#ft\n", + "hs2 = 8. \t\t\t#ft\n", + "hs3 = 8. \t\t\t#ft\n", + "Tsmax = 5000. \t\t\t#psi\n", + "\t\t\t\n", + "# Calculations\n", + "SW = round(P/1728,4)\n", + "P8 = round(SW*hs1*12,2)\n", + "P16 = round(SW*(hs1+hs2)*12,1)\n", + "P24 = round(SW*(hs1+hs2+hs3)*12,1)\n", + "t8 = (P8*d*12)/(2*Tsmax)\n", + "t16 = P16*d*12/(2*Tsmax)\n", + "t24 = P24*d*12/(2*Tsmax)\n", + "\t\t\t\n", + " \n", + "# Results\n", + "print 't8 = %.2f in'%(t8)\n", + "print 't16 = %.2f in'%(t16)\n", + "print 't24 = %.2f in'%(t24)\n", + "\n", + "# note : book answers are wrong. please check. " + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "t8 = 0.17 in\n", + "t16 = 0.34 in\n", + "t24 = 0.51 in\n" + ] + } + ], + "prompt_number": 19 + } + ], + "metadata": {} + } + ] +}
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