{
 "metadata": {
  "name": "",
  "signature": "sha256:f63edcd22a3bf57c69f1f76aca0a01ff1dd288f9c7a8d1b01585ac7b29af9fbe"
 },
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 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Ch:7 Struts and Columns"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 7-1 - Page 192"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from math import pi\n",
      "sigc=550#\n",
      "FOS=4#\n",
      "sigw=sigc/FOS#\n",
      "l=4000#\n",
      "le=l/2#\n",
      "A=pi*(1-0.7**2)/4#\n",
      "K=(1+0.7**2)/16#\n",
      "Pr=800*10**3#\n",
      "a=1/1600#\n",
      "D=130# #Rounding off to nearest whole number\n",
      "d=D*0.7#\n",
      "print \"D is %0.1f mm     \"%(D)#\n",
      "print \"\\nd is %0.1f mm     \"%(d)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "D is 130.0 mm     \n",
        "\n",
        "d is 91.0 mm     \n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 7-2 - Page 192"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from math import sqrt\n",
      "l=500#\n",
      "E=70*10**3#\n",
      "P=20*10**3#\n",
      "FOS=2#\n",
      "d=P*2*12*4*l**2/((pi)**2*E)#\n",
      "d=(sqrt(8)*d)**0.25#\n",
      "b=d/sqrt(8)#\n",
      "print \"d is %0.2f mm     \"%(d)#\n",
      "print \"\\nb is %0.2f mm     \"%(b)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "d is 37.44 mm     \n",
        "\n",
        "b is 13.24 mm     \n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 7-3 - Page193"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Ixx=(2*1696.6)+115.4#\n",
      "Iyy=1696.6+(2*115.4)+(2*25.27*10.27**2)#\n",
      "A=3*25.27#\n",
      "Kmin=sqrt(Ixx/75.81)#\n",
      "L=600#\n",
      "k=L/Kmin#\n",
      "sigc=110#\n",
      "c=1/200#\n",
      "sigw=sigc*(1-(c*k))#\n",
      "Pw=sigw*A#\n",
      "a=1/7500#\n",
      "sigc1=320#\n",
      "Pr=(sigc1*A)/(1+(a*(L/Kmin)**2))#\n",
      "FOS=Pr/Pw#\n",
      "print \"FOS is %0.2f      \"%(FOS)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "FOS is 2.91      \n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 7-4 - Page 194"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Iyy=193.4+(2*1.2*1.5**3/12)#\n",
      "E=200*10**3#\n",
      "l=500#\n",
      "Pe=(pi**2)*E*Iyy*10**5/(l**2)#\n",
      "A=35.53+(2*1.2*15)#\n",
      "sige=Pe/7530#\n",
      "k=sqrt(Iyy/A)#\n",
      "xc=75#\n",
      "sig=80#\n",
      "sigo=20.875#\n",
      "A=A*100#\n",
      "P=sigo*A#\n",
      "P=P*10**-3#\n",
      "print \"P is %0.1f kN     \"%(P)#\n",
      "  \n",
      "  #The difference in the value of P is due to rounding-off the digits."
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "P is 149.3 kN     \n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 7-5 - Page 195"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sigc=330#\n",
      "a=1/7500#\n",
      "t=4#\n",
      "A=14.5*t**2#\n",
      "l=300#\n",
      "Kx=sqrt(1.4626*t**2)#\n",
      "Pr=sigc*A/(1+(a*(l/Kx)**2))#\n",
      "FOS=2#\n",
      "P=Pr/FOS*10**-3#\n",
      "print \"P is %0.4f KN     \"%(P)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "P is 38.2800 KN     \n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 7-6 - Page 195"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "P=1500#\n",
      "FOS=2#\n",
      "Pd=FOS*P#\n",
      "l=280#\n",
      "E=207*10**3#\n",
      "I=Pd*l**2/(pi**2*E)#\n",
      "D=(64*I/(pi*(1-0.8**4)))**(1/4)#\n",
      "D=8#\n",
      "d=6.4#\n",
      "print \"D is %0.1f mm     \"%(D)#\n",
      "print \"\\nd is %0.1f mm     \"%(d)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "D is 8.0 mm     \n",
        "\n",
        "d is 6.4 mm     \n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 7-7 - Page 196"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "D=500#\n",
      "p=0.3#\n",
      "E=208*10**3#\n",
      "sigc=320#\n",
      "a=1/7500#\n",
      "l=2000#\n",
      "le=l/2#\n",
      "W=pi*D**2*p/4#\n",
      "FOS=4#\n",
      "Wd=W*FOS#\n",
      "I=Wd*l**2/(pi**2*E)#\n",
      "d=(64*I/pi)**(1/4)#\n",
      "A=pi*d**2/4#\n",
      "k=d/4#\n",
      "d=45# #Rounding off to nearest whole number\n",
      "print \"d is %0.1f mm     \"%(d)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "d is 45.0 mm     \n"
       ]
      }
     ],
     "prompt_number": 7
    }
   ],
   "metadata": {}
  }
 ]
}