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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Ch:12 Welded joints"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-1 - Page 347"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "h=8#\n",
      "F=100*10**3#\n",
      "t=0.707*h#\n",
      "A=4*60*t#\n",
      "T=F/A#\n",
      "print \"T is %0.1f MPa     \"%(T)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "T is 73.7 MPa     \n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-2 - Page 347"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "FOS=3#\n",
      "Ta=95/FOS#\n",
      "P=350*10**3#\n",
      "h=12.5#\n",
      "t=0.707*h#\n",
      "l=P/(2*t*Ta)#\n",
      "print \"l is %0.0f mm     \"%(l)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "l is 639 mm     \n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-3 - Page 348"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "h=12#\n",
      "t=0.707*h#\n",
      "l=60#\n",
      "Ta=80#\n",
      "P=2*l*t*Ta#\n",
      "P=P*10**-3#\n",
      "print \"P is %0.3f kN     \"%(P)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "P is 81.446 kN     \n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-4 - Page 348"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from math import sin, pi, cos, sqrt\n",
      "P=6*10**3#\n",
      "e=150+(100/2)#\n",
      "T=P*e#\n",
      "A=200#\n",
      "Td=P/A#\n",
      "r=sqrt(2*50**2)#\n",
      "Ixx=2*(100*50**2)#\n",
      "Iyy=2*100**3/12#\n",
      "IG=Ixx+Iyy#\n",
      "Ts=r*T/IG#\n",
      "Tmax=sqrt((Ts*sin(45*pi/180))**2+(Td+(Ts*cos(45*pi/180)))**2)#\n",
      "Ta=80#\n",
      "t=Tmax/Ta#\n",
      "h=sqrt(2)*t#\n",
      "h=3#\n",
      "print \"h is %0.0f mm     \"%(h)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "h is 3 mm     \n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-5 - Page 349"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "h=10#\n",
      "t=10/sqrt(2)#\n",
      "Ta=80#\n",
      "x=((50*25)+(50*0))/(50+50)#\n",
      "y=x#\n",
      "ra=sqrt(x**2+37.5**2)#\n",
      "Ixx=(7.07*50**3/12)+(50*7.07*(12.5**2))+(50*7.07*12.5**2)#\n",
      "IG=2*Ixx#\n",
      "e=100+(50-12.5)#\n",
      "Tr=16.09*10**-3#\n",
      "P=Ta/Tr#\n",
      "P=P*10**-3#\n",
      "print \"P is %0.3f KN     \"%(P)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "P is 4.972 KN     \n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-6 - Page 350"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "P=16*10**3#\n",
      "l=300#\n",
      "r=50#\n",
      "M=P*l#\n",
      "A=2*pi*r#\n",
      "Ixx=pi*r**3#\n",
      "sigb=M*r/Ixx#\n",
      "Td=P/A#\n",
      "Tmax=sqrt((sigb/2)**2+(Td**2))#\n",
      "Ta=90#\n",
      "t=Tmax/Ta#\n",
      "h=sqrt(2)*t#\n",
      "h=5#\n",
      "print \"h is %0.0f mm     \"%(h)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "h is 5 mm     \n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-7 - Page 350"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sigut=415#\n",
      "sige=sigut/3#\n",
      "Ka=0.5#\n",
      "Kb=0.85#\n",
      "Kc=0.897#\n",
      "SCF=1.5#\n",
      "Kd=1/SCF#\n",
      "FOS=2#\n",
      "sige1=sige*Ka*Kb*Kc*Kd/FOS#\n",
      "Pa=50*10**3#\n",
      "h=10#\n",
      "t=0.707*h#\n",
      "l=Pa/(2*sige1*t)#\n",
      "print \"l is %0.0f mm     \"%(l)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "l is 202 mm     \n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-8 - Page 351"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "l=300#\n",
      "P=30*10**3#\n",
      "T=P/(2*l)#\n",
      "Ta=124#\n",
      "t1=T/Ta#\n",
      "h1=sqrt(2)*t1#\n",
      "M=P*l#\n",
      "Ixx=2*100*110**2#\n",
      "sigb=M/Ixx*110#\n",
      "#Let the allowable bending stress is Tab\n",
      "Tab=200#\n",
      "t2=sigb/Tab#\n",
      "h2=t2/0.707#\n",
      "h2=3#\n",
      "print \"h is %0.0f mm     \"%(h2)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "h is 3 mm     \n"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-9 - Page 352"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Ta=60#\n",
      "l1=60#\n",
      "l2=40#\n",
      "P1=Ta*0.707*l1#\n",
      "P2=Ta*0.707*l2#\n",
      "P=80*10**3#\n",
      "h=P/(P1+P2)#\n",
      "h=20#\n",
      "a=(P2*100)/(P1+P2)#\n",
      "print \" h is %0.0f mm     \"%(h)#\n",
      "print \"\\n a is %0.0f mm     \"%(a)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " h is 20 mm     \n",
        "\n",
        " a is 40 mm     \n"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-10 - Page 352"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "P=300*10**3#\n",
      "l=500#\n",
      "A=2*l#\n",
      "Td=P/A#\n",
      "T=(350-250)*P#\n",
      "IG=(l**3*2/12)+(l*2*5**2)#\n",
      "r=sqrt(250**2+5**2)#\n",
      "Ts=T*r/IG#\n",
      "Ts=Ts+Td#\n",
      "Ta=110#\n",
      "t=Ts/Ta#\n",
      "h=t/0.707#\n",
      "h=9#\n",
      "print \"h is %0.0f mm     \"%(h)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "h is 9 mm     \n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "exa 12-11 - Page 353"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "t=30#\n",
      "sigut=417#\n",
      "sige=sigut/2#\n",
      "Ka=0.5#\n",
      "Kb=0.85#\n",
      "Kc=0.897#\n",
      "SCF=1.2#\n",
      "Kd=1/SCF#\n",
      "FOS=1.5#\n",
      "sige1=sige*Ka*Kb*Kc*Kd/FOS#\n",
      "Pa=60*10**3#\n",
      "l=Pa/(sige1*t)#\n",
      "print \"l is %0.1f mm     \"%(l)#"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "l is 45.4 mm     \n"
       ]
      }
     ],
     "prompt_number": 11
    }
   ],
   "metadata": {}
  }
 ]
}