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Diffstat (limited to 'Statics_And_Strength_Of_Materials/ch4.ipynb')
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1 files changed, 257 insertions, 0 deletions
diff --git a/Statics_And_Strength_Of_Materials/ch4.ipynb b/Statics_And_Strength_Of_Materials/ch4.ipynb new file mode 100755 index 00000000..908d7173 --- /dev/null +++ b/Statics_And_Strength_Of_Materials/ch4.ipynb @@ -0,0 +1,257 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:5a553b2a442e6221dea12996ec8dc7d308a698d61fa5538169e60bbcf11198bb" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 4 : Equilibrium" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.3 Page No : 71" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "from numpy import linalg\t\t\n", + " \t\n", + "# Variables\n", + "W = 100. \t\t\t#lb\n", + "a1 = 30. \t\t\t#degrees\n", + "a2 = 45. \t\t\t#degrees\n", + "\t\t\t\n", + "# Calculations\n", + "A =[[math.cos(math.radians(a2)),-math.cos(math.radians(a1))],[math.sin(math.radians(a2)),math.sin(math.radians(a1))]]\n", + "b =[[0],[W]]\n", + "c = linalg.solve(A,b)\n", + "Tbc = c[0]\n", + "Tab = c[1]\n", + "\t\t\t\n", + "# Results\n", + "print 'Tbc = %.1f lb'%(Tbc)\n", + "print 'Tab =%.1f lb'%(Tab)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Tbc = 89.7 lb\n", + "Tab =73.2 lb\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.4 Page No : 72" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "# Variables\n", + "W1 = 7000. \t\t\t#lb\n", + "W2 = 1000. \t\t\t#lb\n", + "W3 = 3000. \t\t\t#lb\n", + "x1 = 6. \t\t\t#in\n", + "x2 = 9. \t\t\t#in\n", + "x3 = 10. \t\t\t#in\n", + "x4 = 5. \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "Rb = (W1*x1+W2*(x1+x2)+W3*(x1+x2+x3))/(x1+x2+x3+x4)\n", + "Ra = W1+W2+W3-Rb\n", + "\t\t\t\n", + "# Results\n", + "print 'Rb = %.1f lb'%(Rb)\n", + "print 'Ra = %.1f lb'%(Ra)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Rb = 4400.0 lb\n", + "Ra = 6600.0 lb\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.5 Page No : 74" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "# Variables\n", + "Fc = 500. \t\t\t#lb\n", + "Fd = 1000. \t\t\t#lb\n", + "xc = 2. \t\t\t#in\n", + "xd = 8. \t\t\t#in\n", + "y = 6. \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "Ay = Fc+Fd\n", + "Bx = (Fc*xc+Fd*xd)/y\n", + "Ax = Bx\n", + "A = math.sqrt(Ax**2+Ay**2)\n", + "\t\t\t\n", + "# Results\n", + "print 'A = %.f lb'%(A)\n", + "print 'B = %.f lb'%(Bx)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "A = 2121 lb\n", + "B = 1500 lb\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.6 Page No : 75" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\t\n", + "# Variables\n", + "W = -300. \t\t\t#lb\n", + "r = 4. \t\t\t#in\n", + "x1 = 2. \t\t\t#ft\n", + "x2 = 3. \t\t\t#ft\n", + "x3 = 1. \t\t\t#ft\n", + "y1 = 1. \t\t\t#ft\n", + "x4 = 3. \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "F = -W*r/(y1*12)\n", + "By = -W*x1/(x1+x2)\n", + "Bz = -F*(x1+x2+x3+(x4/12))/(x1+x2)\n", + "Ay = -W-By\n", + "Az = -F-Bz\n", + "\t\t\t\n", + "# Results\n", + "print 'Ay = %.2f lb'%(Ay)\n", + "print 'By = %.2f lb'%(By)\n", + "print 'Az = %.2f lb'%(Az)\n", + "print 'Bz = %.2f lb'%(Bz)\n", + "print 'F = %.2f lb'%(F)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Ay = 180.00 lb\n", + "By = 120.00 lb\n", + "Az = 25.00 lb\n", + "Bz = -125.00 lb\n", + "F = 100.00 lb\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 4.7 Page No : 77" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\t\n", + "# Variables\n", + "W = 500. \t\t\t#lb\n", + "r = 4. \t\t\t#in\n", + "Lx = 3. \t\t\t#in\n", + "Ly = 12. \t\t\t#in\n", + "Lz = 4. \t\t\t#in\n", + "\t\t\t\n", + "# Calculations\n", + "Tbd = W*(math.sqrt((-Lx)**2+(-Ly)**2+(-Lz)**2))/Ly\n", + "Tcd = Lx*Tbd/(math.sqrt((-Lx)**2+(-Ly)**2+(-Lz)**2))\n", + "Tad = Lz*Tbd/(math.sqrt((-Lx)**2+(-Ly)**2+(-Lz)**2))\n", + "\t\t\t\n", + "# Results\n", + "print 'Tbd = %.f lb'%(Tbd)\n", + "print 'Tcd =%.f lb'%(Tcd)\n", + "print 'Tad =%.f lb'%(Tad)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Tbd = 542 lb\n", + "Tcd =125 lb\n", + "Tad =167 lb\n" + ] + } + ], + "prompt_number": 5 + } + ], + "metadata": {} + } + ] +}
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