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{
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"name": "",
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 5 : Force Analysis of Structures"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 5.1 Page No : 98"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\t\t\t\n",
"import math \n",
"# Variables\n",
"Fc = -1000. \t\t\t#lb\n",
"A = 60. \t\t\t#degrees\n",
"E1 = 60. \t\t\t#degrees\n",
"E2 = 60. \t\t\t#degrees\n",
"D = 60. \t\t\t#degrees\n",
"L1 = 10. \t\t\t#ft\n",
"L2 = 10. \t\t\t#ft\n",
"\t\t\t\n",
"# Calculations\n",
"Ax = 0\n",
"Ay = (-Fc)*L1*math.cos(math.radians(D))/(L1+L2)\n",
"Dy = -Fc-Ay\n",
"Fab = Ay/math.sin(math.radians(A))\n",
"Fae = Fab*math.cos(math.radians(A))\n",
"Fbe = Fab*math.cos(90-E1)/math.cos(90-A)\n",
"Fbc = Fab*math.sin(math.radians(90-A))+Fbe*math.sin(math.radians(90-E1))\n",
"Fce = Fbc*math.cos(90-(180-E2-D))/math.cos(90-E2)\n",
"Fde = Fae+Fbe*math.cos(math.radians(E1))+Fce*math.cos(math.radians(E2))\n",
"Fcd = (-Fc-Fbc*math.cos(math.radians(90-E2-D)))/math.cos(math.radians(90-E1))\n",
"\t\t\t\n",
"# Results\n",
"print 'Ax = %.3f lb'%(Ax)\n",
"print 'Ay = %.2f lb'%(Ay)\n",
"print 'Dy = %.3f lb'%(Dy) \n",
"print 'Fab = %.1f lbcompression'%(Fab) \n",
"print 'Fae = %.1f lbtension'%(Fae)\n",
"print 'Fbe = %.1f lbtension'%(Fbe) \n",
"print 'Fbc = %.1f lbcompression'%(Fbc)\n",
"print 'Fce = %.1f lbcompression'%(Fce)\n",
"print 'Fde = %.1f lbtension'%(Fde)\n",
"print 'Fcd = %.1f lbcompression'%(Fcd)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Ax = 0.000 lb\n",
"Ay = 250.00 lb\n",
"Dy = 750.000 lb\n",
"Fab = 288.7 lbcompression\n",
"Fae = 144.3 lbtension\n",
"Fbe = 288.7 lbtension\n",
"Fbc = 288.7 lbcompression\n",
"Fce = 288.7 lbcompression\n",
"Fde = 433.0 lbtension\n",
"Fcd = 866.0 lbcompression\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 5.2 Page No : 103"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\t\t\t\n",
"# Variables\n",
"W = -100. \t\t\t#lb\n",
"angle = 45. \t\t\t#degrees\n",
"x1 = 2. \t\t\t#ft\n",
"x2 = 2. \t\t\t#ft\n",
"y1 = 2. \t\t\t#ft\n",
"y2 = 4. \t\t\t#ft\n",
"Fx = 200. \t\t\t#lb\n",
"\t\t\t\n",
"# Calculations\n",
"Cx = Fx*y1/y2\n",
"Bx = Fx+Cx\n",
"By = (y2*Bx+x1*(-W))/(x1+x2)\n",
"Cy = By\n",
"Ax = Bx\n",
"Ay = W+By\n",
"\t\t\t\n",
"# Results\n",
"print 'Ax = %.3f lb'%(Ax)\n",
"print 'Ay = %.2f lb'%(Ay)\n",
"print 'Bx = %.3f lb'%(Bx) \n",
"print 'By = %.2f lb'%(By) \n",
"print 'Cx = %.2f lb'%(Cx)\n",
"print 'Cy = %.2f lb'%(Cy) \n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Ax = 300.000 lb\n",
"Ay = 250.00 lb\n",
"Bx = 300.000 lb\n",
"By = 350.00 lb\n",
"Cx = 100.00 lb\n",
"Cy = 350.00 lb\n"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
|
