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{
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"name": "",
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 07:Statically Indeterminate Beams"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 7.7.3, Page No:251"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"import numpy as np\n",
"\n",
"#Variable Decleration\n",
"P=5000 #Load in N\n",
"L=2 #Half span in m\n",
"\n",
"#Calculations\n",
"#After carrying put the variable computation \n",
"#We obtain three equations which can be solved simultaneously\n",
"A=np.array([[1,1,0],[-L*2,0,1],[32,0,-24]]) #Array of the unknowns\n",
"B=np.array([P,-P*L,2000]) #Array of RHS\n",
"C=np.linalg.solve(A,B)\n",
"\n",
"#Result\n",
"print \"The values are as follows\"\n",
"print \"Ra=\",C[0],\"N Rb=\",C[1],\"N and Ma=\",C[2],\"N.m\"\n",
"\n",
"#Answer in the textbook is incorrect"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" The values are as follows\n",
"Ra= 3718.75 N Rb= 1281.25 N and Ma= 4875.0 N.m\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 7.7.4, Page No:252"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"import numpy as np\n",
"\n",
"#Variable Decleration\n",
"w=60 #Continous Load in lb/ft\n",
"L1=3 #Length in ft\n",
"L2=9 #Length in ft\n",
"\n",
"#Calculations\n",
"#After carrying out the variable computations we get\n",
"A=np.array([[1,1,0,0],[(L1+L2),0,1,1],[0.5*(L1+L2)**2,0,-(L1+L2),0],[6**-1*(L1+L2)**3,0,-0.5*(L1+L2)**2,0]])\n",
"B=np.array([w*L2,w*L2*0.5*L2,L2**3*10,L2**4*2.5])\n",
"C=np.linalg.solve(A,B)\n",
"\n",
"#Result\n",
"print \"The values are as follows\"\n",
"print \"Ra=\",round(C[0]),\"lb Ma=\",round(C[2]),\"lb.ft Rb=\",round(C[1]),\"lb and Mb=\",round(C[3]),\"lb.ft\"\n",
"\n",
"#NOTE:The answer for Mb in the textbook is incorrect"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The values are as follows\n",
"Ra= 190.0 lb Ma= 532.0 lb.ft Rb= 350.0 lb and Mb= -380.0 lb.ft\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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