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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter 04:Shear and Moment in Beams"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 4.4.1, Page No:103"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "%matplotlib  inline\n",
      "\n",
      "#Variable Decleration\n",
      "F1=14 #Force in kN\n",
      "F2=28 #Force in kN\n",
      "l1=2 #Length in m\n",
      "l2=3 #Length in m\n",
      "Ra=18 #Reaction at point A in kN\n",
      "Rb=24 #Reaction at point D in kN\n",
      "\n",
      "#Calculations\n",
      "#Part(1)\n",
      "#Applying the summation of force in y in segment AB\n",
      "V_ab=Ra # Shear in part AB in kN\n",
      "#Moment is in the variable form M=18x kN.m\n",
      "#Segment BC\n",
      "V_bc=Ra-F1 #Shear in the segment BC in kN\n",
      "#Moment in the form M=4x+28 kN.m\n",
      "#Segment CD\n",
      "V_cd=Ra-F1-F2 #Shear in the segment CD in kN\n",
      "#Moment in the form -24x+168 kN.m\n",
      "\n",
      "#Importing the plotting libraries and computing the plots\n",
      "import matplotlib.pyplot as plt\n",
      "\n",
      "#Result\n",
      "print \"The Shear Force and Bending Moment Diagrams are the results\"\n",
      "#Plotting the SHear Force Diagram\n",
      "\n",
      "X1=[0,l1,l1+0.0000000001,l1+l2,l1+l2+0.0000000001,l1+l2+l1]\n",
      "Y1=[V_ab,V_ab,V_bc,V_bc,V_cd,V_cd]\n",
      "Z1=[0,0,0,0,0,0]\n",
      "plt.plot(X1,Y1,X1,Z1)\n",
      "plt.xlabel(\"Length x in m\")\n",
      "plt.ylabel(\"Shear Force in kN\")\n",
      "plt.show()\n",
      "\n",
      "#Plotting the Bendimg Moment Diagram\n",
      "\n",
      "Y2=[0,36,48,0]\n",
      "X2=[0,l1,l1+l2,l1+l2+l1]\n",
      "Z2=[0,0,0,0]\n",
      "plt.plot(X2,Y2)\n",
      "plt.xlabel(\"Lenght in m\")\n",
      "plt.ylabel(\"Bending Moment in kN.m\")\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The Shear Force and Bending Moment Diagrams are the results\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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       "text": [
        "<matplotlib.figure.Figure at 0x10bc70310>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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DvtrPPQeHZnVRm6qlNY7fkp20Nj85hi3bMJak116Dxx6DwYNjJxGRfNK4MVx+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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10b5afad0>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 4.4.3, Page No:108"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "%matplotlib inline\n",
      "\n",
      "#Variable Decleration\n",
      "L=12 #Length of the beam in ft\n",
      "F=1000 #Force at the tip of the beam in lb\n",
      "#w=30x Force per length on the beam in lb/ft\n",
      "a=15 #Constant\n",
      "\n",
      "#Calculations\n",
      "#Part(1)\n",
      "#Here all the computation is in variable form\n",
      "#Applying the sum of forces\n",
      "#V=1000-15x^2\n",
      "#Applying moment about C\n",
      "#M=1000x-5x^3\n",
      "\n",
      "#Part(2)\n",
      "#Max BM when shear force is zero\n",
      "x=(F*a**-1)**0.5 #Length at which BM is max in ft\n",
      "M_max=F*x-5*x**3 #Max BM in lb.ft\n",
      "\n",
      "#Result\n",
      "b=np.linspace(0,L,20) #Array\n",
      "c=np.linspace(0,0,20) #Zero array\n",
      "V=F-(15*b**2) #Shear Force\n",
      "M=F*b-5*b**3 #Bending Moment\n",
      "\n",
      "#Shear force plot\n",
      "plt.plot(b,V,b,c)\n",
      "plt.xlabel(\"Length in ft\")\n",
      "plt.ylabel(\"Shear Force in lb\")\n",
      "plt.show()\n",
      "\n",
      "#Bending Moment plot\n",
      "plt.plot(b,M)\n",
      "plt.xlabel(\"Length in ft\")\n",
      "plt.ylabel(\"Bending Moment in lb.ft\")\n",
      "plt.show()\n",
      "\n",
      "print \"The maximum BM is\",round(M_max),\"lb.ft\"\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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WM/BK1djYWHQIZeXnq161/GxQ+8/XVoUklYiYGhHTSr1e0upAz4iYnBWNBvbJ\njvcCrsuObwN2yS3QKlLr/7D9fNWrlp8Nav/52qoS+1TWyZq+GiV9NStbE5jZ5JpZWdnCc68DRMQC\n4H1JvTssWjMzW6RzuW4saTzQt5lTZ0TEXS187A2gX0S8m/W13C5p43LFaGZm+VJEFPfl0gTglIh4\nurXzwJvAQxGxYVZ+MLBDRHxP0n3AqIiYJKkz8GZErNbMvYp7UDOzKhYRKvXastVU2mBRsJJWBd6N\niE8lDQQGAa9GxHuS5koaCkwGDgUuzj52J3A4MAnYH3iwuS9py/8oZmbWPoXUVCTtS0oKqwLvA89E\nxG6S9gP+C5gPfAb8OCLuyT6zJXAt0B24NyJOzMq7AdcDmwNzgIMiYkaHPpCZmQEFN3+ZmVltqcTR\nX7mTNELS1GyC5A+LjidPkvpJmpBNJn1e0olFx5Q3SZ2yEYEtDfCoWpJ6SbpV0kuSXpS0TdEx5UnS\n6dm/zSmSbspaFqqWpKslzZY0pUlZb0njJU2TNE5SryJjXB4tPN952b/P5yT9TtLKrd2j5pOKpE7A\nL4ERwEbAwZI2LDaqXM0Hvh8RGwPbAMfV2PMBnAS8CNRitfoiUnPuhsCXgZcKjic3kgYAI4EtIuJL\nQCfgoCJjysE1pN8lTZ0GjI+I9Ul9uqd1eFT5ae75xgEbR8SmwDTg9NZuUPNJBRhCmqU/IyLmA78F\n9i44ptxExFsR8Wx2/CHpl9IaxUaVH0lrAV8HrqTJoI5akP3Ft31EXA1pnlVEvF9wWHmaS/qjp0c2\nMrMHaY5Z1YqIicC7SxU3nYB9HYsnZled5p4vIsZHxGfZ28eBtVq7Rz0klUWTIzMzWTxxsqZkfxlu\nTvoPXysuBE4lDdyoNesAf5d0jaSnJV0hqUfRQeUlIt4BLgD+SpqD9l5EPFBsVGXRJyJmZ8ezgT5F\nBlNmRwH3tnZBPSSVWmwy+RxJKwK3AidlNZaqJ2kP4G8R8Qw1VkvJdAa2AC6NiC2Aj6juppMlSFoX\nOBkYQKo9ryjpkEKDKrNII59q8neOpDOBTyLiptauq4ekMgvo1+R9P5Zc8qXqSepCWvfshoi4veh4\ncrQdsJek14AxwM6SRhccU55mAjMj4ons/a2kJFMrtgIejYg52RJKvyP9N601syX1hUXrFP6t4Hhy\nJ+kIUjP0Mv8oqIek8iRpVeMBkroCB5ImTNYESQKuAl6MiP8tOp48RcQZEdEvItYhdfA+FBGHFR1X\nXiLiLeBBwAtcAAADBklEQVR1SetnRbsCLxQYUt6mAttI6p79O92VNOCi1iycgE32s5b+sCNbEf5U\nYO+ImLes62s+qWR/IR0P3E/6B31zRNTMCBvgK8C3gJ2a7EOz9OiNWlGLzQonADdKeo40+uvnBceT\nm4h4jrSi+JPAn7Piy4uLaPlJGgM8CgyW9LqkI4FzgGGSpgE7Z++rUjPPdxRwCbAiMH7pfa6avYcn\nP5qZWV5qvqZiZmYdx0nFzMxy46RiZma5cVIxM7PcOKmYmVlunFTMzCw3TipmzZBU1qVuJJ0sqXtb\nvk/Snm3dukHSidmS+jdI2rsGV7C2CuN5KmbNkPRBRPQs4/1fA7aKiDnl/D5JLwG7RMQbkq4F7oqI\n2/L+HrOFXFMxK5GkdSX9QdKTkh6WNDgrv1bSRZIekfR/2bbYSFpB0qXZBkfjJN0jaT9JJ5AWWJwg\n6cEm9z9b0rOSHpP0r818/xGSLmntO5e6/tfAQOA+SWcAewLnZbOiB5bjfyMzJxWz0l0OnBARW5HW\nQmq6XEXfiPgKsAeLl+n4N6B/tgHXocC2pIVsLyEtBd8QEbtk134ReCwiNgMeJm1utbSlmxWa+87F\nF0cc0+R7fk5ao+oHEbF5RLzaxmc3K0nnogMwqwbZ1gLbArektREB6Jr9DLJFBCPiJUkL99P4KjA2\nK58taUIrX/FJRNyTHT8FDFtGSC195zIfpcTrzNrFScWsNCuQNpnavIXznzQ5XviLO1jyl3hrv9Dn\nNzn+jNL+v9ncdy6LO1GtrNz8ZVaCiJgLvCZpf0hbDkj68jI+9giwX3ZtH2DHJuc+AFZqYxjLW8to\nz3eatYmTilnzemRLfy98nUzaoOhoSc8Cz5P2Jl8omjm+jbQR14vA9cDTwMI96C8ndaA/2MLnm6tR\nLF3e0vHSn1not8Cpkp5yR72Vi4cUm5WRpC9GxEeSVgEeB7aLiJrbGdBsIfepmJXX3ZJ6kTr1f+KE\nYrXONRUzM8uN+1TMzCw3TipmZpYbJxUzM8uNk4qZmeXGScXMzHLjpGJmZrn5f2jXA38SU1UbAAAA\nAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10bc81f10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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tje7uVe5eBXR39yvdfa67vxoli+4xgzHgTqCyJmFEHgNqxv30Bh7JKO9lZi3M\nbHugAzAj6htZYmb7R695ZsY1RW3ZMjj5ZPj5z5UwRCR9cVrGzcwOdvfnowddWLX1a326AGcAr5rZ\nrKhsADAIGG1mfYiG3AK4e6WZjSYsub4C6JtRdehLGHLbkjDktiQ6wS++GFq1gt/9Lu1IRETirT3V\nGbgL2DQq+g9wtru/knBsDVZszVNDh4ZhtdOmwSabpB2NiBSjRJZGj154UwB3/7yRsSWumJLGiy+G\nlWuffx523jntaESkWCWxNPr6wElAe6B5NPLJ3f3axgYpdauuhlNPhX/+UwlDRPJLnD6NRwlNUjPR\nnuCJW7ECevWCs84KM79FRPJJnD6N19z9RzmKp0mKoXnqqqtg9mwYNw6aNUs7GhEpdknspzHVzPZw\n91ebEJfE8OCDcP/9MHOmEoaI5Kc4NY15wE6EfTW+jYobNCM8Vwq5pvGvf8HBB8OTT8I++6QdjYiU\niiRqGkc3IR6JYelSOPFEuO46JQwRyW9rnRFeI5oV3g44LDr+kviT+6Qe7mEzpQMOCL9FRPJZnCG3\nA4HOwC6ESX4tgJGE2d7SREOGwIIF8MIL2uNbRPJfnOapEwhLms8EcPfFZrZxolGViOefD01S06ZB\ny5ZpRyMiUr96m6eAb919Zc0DM9swwXhKxgcfhPkYw4bB9tunHY2ISDxxksYDZvYPoJWZnQdMBu5I\nNqzitnw5nHYanHsuHK1hBiJSQGKtPWVm3Vm1HPpT7j4x0agaqVCG3F52GcybB088AevESdsiIglJ\nbMHC6MW3AD7J10/mQkgao0dDeTm8/DK0bp12NCJS6rK2CZOZHWhmFWb2kJntZWavAXOBajNTo0oj\nVFbChRfCmDFKGCJSmOoaPXULYcOkTYEpQA93n2ZmuwL3AU/mIL6isWRJmMB3/fWw995pRyMi0jh1\n7RE+2933jI7n1ezPHT2e5e575SjG2PK1ecodTjkl1C6GDk07GhGRVbK5jEjmp6+WRG+Cm26ChQth\n5Mi0IxERaZq6ahrfAV9FD1sCX2c83dLd40wMzKl8rGk880wYXjt9Omy3XdrRiIisLms1DXfX4txN\ntHgxnH46jBihhCEixUGzBBKybFnYsrVvX+jevf7zRUQKQYPmaeS7fGqe6tcP3nkHHn1UE/hEJH8l\nsZ+GNNC994btWl9+WQlDRIqLahpZVlkJXbvCxImw556phiIiUq+szQiXhlu6FE4+GQYNUsIQkeKk\nmkaWuMNiFOh+AAAKZElEQVSZZ0Lz5nDXXdpQSUQKg/o0UnL77TBnTpiPoYQhIsVKNY0seOUVOOqo\nsBPfLrvk/PYiIo2WV30aZvZPM6s2s7kZZa3NbKKZLTCzCWbWKuO5AWb2hpnNj/bwqCnvbGZzo+cG\nJxlzQ33+eVhX6pZblDBEpPgl3RF+F9BjjbJyYKK770zYBbAcwMw6AacBnaJrbjX7vqHn70Afd+8A\ndDCzNV8zFe5w9tnQo0dYKkREpNglmjTc/TngszWKjwOGR8fDgeOj457Ave6+3N2rgDeB/c2sLbCx\nu8+IzhuRcU2qbr4Z3nsvLEgoIlIK0ugIb+Pu1dFxNdAmOt4amJZx3iJgG2B5dFxjcVSeqqlTw9Da\nadNgvfXSjkZEJDdSnacR9VoXXE/8J59Ar15hxNT226cdjYhI7qRR06g2s63c/cOo6emjqHwx0C7j\nvG0JNYzF0XFm+eK1vfjAgQO/Py4rK6OsrCw7UUdWroQzzghJ47jjsvrSIiKJq6iooKKiotHXJz7k\n1szaA4+7++7R4+uBf7v7n8ysHGjl7uVRR/goYD9C89MkYCd3dzObDvQDZgBjgSHuPr6WeyU+5Pb3\nv4ennoKnn4Z11030ViIiicuryX1mdi/QFdjczN4D/hcYBIw2sz5AFXAqgLtXmtlooBJYAfTNyAB9\ngWGEzaDG1ZYwcuHpp+FvfwsLESphiEgp0uS+mD74ADp3DhsqdeuWyC1ERHIuryb3FYsVK0Ifxvnn\nK2GISGlT0ojht78Nw2p/85u0IxERSZcWLKzH2LEwcmRYX6qZdk0XkRKnpFGHhQvhnHPgoYdgiy3S\njkZEJH1qnlqLZcvg1FPhyiuhS5e0oxERyQ8aPbUW/fuHmsbDD2t/DBEpXnk1T6NQPfAAPPEEzJyp\nhCEikkk1jTUsWAAHHwxPPhnmZYiIFDPN02iCr78OGypde60ShohIbVTTyHDuufDll3DPPWqWEpHS\noD6NRho5Ep57Dl56SQlDRGRtVNMA5s+HQw6ByZNhjz0SCExEJE+pT6OBvvoq9GP88Y9KGCIi9Sn5\nmkafPvDtt3D33WqWEpHSoz6NBhgxAl54IeyPoYQhIlK/kq1pzJsHhx4aNlbaffeEAxMRyVPq04jh\nyy9DP8agQUoYIiINUZI1jXPOCRsrDR+uZikRKW3q06jH8OHw4ouajyEi0hglVdOorISuXWHKFPjR\nj3IYmIhInlKfxlrU9GNcf70ShohIY5VMTeOss8Adhg1Ts5SISA31adRi2DCYMUP9GCIiTVX0NY3X\nX4eyMqiogN12SyUsEZG8pT6NDEuXhn6MG25QwhARyYairWm4Q+/e0KwZ3HVXyoGJiOQp9WlEhg0L\ne3zPmJF2JCIixaMoaxqvvQaHHQbPPAOdOqUdlYhI/irqPg0z62Fm883sDTO7qrZzavoxbrxRCUNE\nJNsKJmmYWTPgFqAH0Ak43cw6rnneL38JBx4IP/95riNMVkVFRdohJErvr7Dp/ZWOgkkawH7Am+5e\n5e7LgfuAnmueNGsW3HJLzmNLXLH/0er9FTa9v9JRSEljG+C9jMeLorLVPPAAbLBBzmISESkphZQ0\nYvXYd/yvBisREcmWghk9ZWYHAAPdvUf0eACw0t3/lHFOYbwZEZE80pDRU4WUNJoD/wKOAN4HZgCn\nu/u8VAMTESkhBTO5z91XmNmvgKeAZsCdShgiIrlVMDUNERFJXyF1hK9VnEl/hcrM2pnZFDN73cxe\nM7N+aceUbWbWzMxmmdnjaceSbWbWyszGmNk8M6uM+uaKhpkNiP4255rZKDNbL+2YmsLM/mlm1WY2\nN6OstZlNNLMFZjbBzFqlGWNTrOX93RD9fc4xs4fMbNO6XqPgk0bcSX8FbDlwibvvBhwAXFhk7w+g\nP1BJzBFyBWYwMM7dOwJ7AEXTpGpm7YFzgb3dfXdCs3GvNGPKgrsInyWZyoGJ7r4zMDl6XKhqe38T\ngN3c/X+ABcCAul6g4JMGMSf9FSp3/9DdZ0fHSwkfOlunG1X2mNm2wI+BO4Ci2iIr+sZ2iLv/E0K/\nnLt/nnJY2bSE8KVmg2igygbA4nRDahp3fw74bI3i44Dh0fFw4PicBpVFtb0/d5/o7iujh9OBbet6\njWJIGrEm/RWD6JvdXoT/scXiL8AVwMr6TixA2wMfm9ldZvaKmd1uZkUz9dTdPwVuBN4ljGj8j7tP\nSjeqRLRx9+rouBpok2YwCTsHGFfXCcWQNIqxSeO/mNlGwBigf1TjKHhmdgzwkbvPoshqGZHmwN7A\nre6+N/Alhd20sRoz2xG4GGhPqP1uZGY/SzWohEUb9hTlZ46Z/RpY5u6j6jqvGJLGYqBdxuN2hNpG\n0TCzdYEHgZHu/kja8WTRQcBxZvYOcC9wuJmNSDmmbFoELHL3l6LHYwhJpFjsA0x193+7+wrgIcL/\n02JTbWZbAZhZW+CjlOPJOjM7i9BMXG/SL4ak8TLQwczam1kL4DTgsZRjyhozM+BOoNLdb047nmxy\n96vdvZ27b0/oQH3a3YtmfWJ3/xB4z8x2joq6Aa+nGFK2zQcOMLOW0d9pN8KAhmLzGNA7Ou4NFNMX\nN8ysB6GJuKe7f1Pf+QWfNKJvODWT/iqB+4ts0l8X4AzgsGhY6qzof3IxKsZq/0XAPWY2hzB66rqU\n48kad58DjCB8cXs1Kh6aXkRNZ2b3AlOBXczsPTM7GxgEHGlmC4DDo8cFqZb3dw7wV2AjYGL0+XJr\nna+hyX0iIhJXwdc0REQkd5Q0REQkNiUNERGJTUlDRERiU9IQEZHYlDRERCQ2JQ0pSWaW6FIsZnax\nmbVsyP3M7NiGLu1vZv2iJddHmlnPIlwBWfKM5mlISTKzL9x94wRf/x1gH3f/d5L3M7N5wBHu/r6Z\nDQMed/cHs30fkRqqaYhEzGxHM3vSzF42s2fNbJeofJiZDTazF8zsLTM7KSpfx8xujTawmWBmY83s\nJDO7iLCA3xQzm5zx+r83s9lm9qKZbVnL/c8ys7/Wdc81zr8N2AEYb2ZXA8cCN0SzendI4r+RiJKG\nyCpDgYvcfR/CWjyZyyls5e5dgGNYtYzEicB20QZLZwIHEhZC/SthqfAydz8iOndD4EV33xN4lrB5\n0ZrWrPbXds9VJ7tfkHGf6whrJF3u7nu5+9sNfO8isTRPOwCRfBAtPX8g8EBYew+AFtFvJ1qkzt3n\nmVnNfgoHA6Oj8mozm1LHLZa5+9joeCZwZD0hre2e9b6VmOeJNIqShkiwDmETob3W8vyyjOOaD2Zn\n9Q/puj6wl2ccryTev73a7lkfdVJKotQ8JQK4+xLgHTM7GcKS9Ga2Rz2XvQCcFJ3bBuia8dwXwCYN\nDKOptYTG3FOkQZQ0pFRtEC0NXfNzMWEDmj5mNht4jbA3dA2v5fhBwkZLlcDdwCtAzR7gQwkd1JPX\ncn1tNYI1y9d2vOY1Ne4DrjCzmeoIl6RoyK1IE5jZhu7+pZltRti7/SB3L7qd3URqqE9DpGmeMLNW\nhE7za5UwpNippiEiIrGpT0NERGJT0hARkdiUNEREJDYlDRERiU1JQ0REYlPSEBGR2P4fpPZ+fifd\n6iMAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10bd236d0>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The maximum BM is 5443.0 lb.ft\n"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "\n",
      "Example 4.4.4, Page no:117\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n",
      "\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "\n",
      "#Variable Decleration\n",
      "P=30 #Force in kN\n",
      "M=40 #Moment in kN.m\n",
      "L1=3 #Length in m\n",
      "L2=4 #Length in m\n",
      "Ra=14 #Reaction at A in kN\n",
      "Re=16 #Reaction at E in kN\n",
      "\n",
      "#Calculations\n",
      "#The plotting will done different from that done in the textbook\n",
      "#Plot for Shear Force\n",
      "x_shear=[0,0.000000001,L2,L2+0.000000001,L2+L1,L2+L1*2,L2+L1*2+0.00000001]\n",
      "y_shear=[0,Ra,Ra,Ra-P,Ra-P,Ra-P,0]\n",
      "#Plot for Bending Moment\n",
      "x_bm=[0,L2,L2+L1,L2+L1+0.00000001,L2+L1+L1]\n",
      "y_bm=[0,Ra*L2,Ra*(L2+L1)-P*L1,Ra*(L2+L1)-P*L1+M,0]\n",
      "#Zero line\n",
      "x1=[0,0,0,0,0,0,0]\n",
      "\n",
      "#Result\n",
      "print \"The plots below are the answers\"\n",
      "\n",
      "plt.plot(x_shear,y_shear,x_shear,x1)\n",
      "plt.xlabel(\"Distance from point A in m\")\n",
      "plt.ylabel(\"Shear Force in kN\")\n",
      "plt.show()\n",
      "\n",
      "plt.plot(x_bm,y_bm)\n",
      "plt.xlabel(\"Distance from point A in m\")\n",
      "plt.ylabel(\"Bending Moment in kN.m\")\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The plots below are the answers\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEPCAYAAABY9lNGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSwtJntJ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       "text": [
        "<matplotlib.figure.Figure at 0x10bd21990>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x10bdcae90>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 4.4.5, Page No:119"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "import matplotlib.pyplot as plt\n",
      "%matplotlib inline\n",
      "\n",
      "#Variable Decleration\n",
      "w1=400 #UDL in lb/ft\n",
      "P=400 #Point load at C in lb\n",
      "w2=200 #UDL in lb/ft\n",
      "L1=2 #Length in ft\n",
      "L2=1 #Length in ft\n",
      "L3=4 #Length in ft\n",
      "V_A=0 #Shear force at A in lb\n",
      "Rb=-1520 #Reaction at B in lb\n",
      "Rd=-880 #Reaction at D in lb\n",
      "d=1.6 #Distance in ft\n",
      "\n",
      "#Calculations\n",
      "#The plotting of the Shear force diagram and the Bending Moment Diagram \n",
      "#Will be done different from that done in the textbook\n",
      "\n",
      "#Calculations for Shear Force\n",
      "Area1=P*L1 #Area of w diagram from A to B\n",
      "Area2=0 #Area of w diagram from B to C\n",
      "Area3=w2*L3 #Area of w diagram from C to D\n",
      "V_B_left=V_A-Area1 #Shear Force at left of B in lb\n",
      "V_B_right=V_B_left-Rb #Shear force at right of B in lb\n",
      "V_C_left=V_B_right-Area2 #Shear Force at left of C in lb\n",
      "V_C_right=V_C_left-P #Shear Force at right of C in lb\n",
      "V_D_left=V_C_right-Area3 #Shear Force at left of D in lb\n",
      "V_D_right=V_D_left-Rd #Shear Force at right of D in lb\n",
      "V_E=0 #Shear Force at E in lb\n",
      "\n",
      "#Calculations for Bending Moments\n",
      "AreaV1=0.5*L1*V_B_left #Area of V diagram\n",
      "AreaV2=V_C_left*L2 #Area of V diagram from B to C\n",
      "AreaV3=V_D_left*(L3-d)*0.5 #Area of V diagram from F to D\n",
      "M_A=0 #Moment at A in lb.ft\n",
      "M_B=M_A+AreaV1 #Moment about B in lb.ft\n",
      "M_C=M_B+AreaV2 #Moment about C in lb.ft\n",
      "M_F=M_C+V_C_right*0.5*d #Moment about F in lb.ft\n",
      "M_D=M_F+AreaV3 #Moment about D in lb.ft\n",
      "M_E=0 #Moment about E in lb.ft\n",
      "\n",
      "#Result\n",
      "print \"The following plots are the results\"\n",
      "\n",
      "#Plotting\n",
      "\n",
      "#Shear Force\n",
      "x=[0,L1,L1+0.000001,L1+d,L1+d+0.000001,L1+L3,L1+L3+0.000001,L1+L3+L1]\n",
      "V=[V_A,V_B_left,V_B_right,V_C_left,V_C_right,V_D_left,V_D_right,V_E]\n",
      "zero=[0,0,0,0,0,0,0,0]\n",
      "plt.plot(x,V,x,zero)\n",
      "plt.xlabel(\"Length in ft\")\n",
      "plt.ylabel(\"Shear Force in lb\")\n",
      "plt.title(\"Shear Force Diagram\")\n",
      "plt.show()\n",
      "\n",
      "#Bending Moment\n",
      "x1=[0,L1,L1+L2,L1+L2+d,L1+L3,L1+L3+L1]\n",
      "BM=[M_A,M_B,M_C,M_F,M_D,M_E]\n",
      "zero1=[0,0,0,0,0,0]\n",
      "plt.plot(x1,BM,x1,zero1)\n",
      "plt.xlabel(\"Length in ft\")\n",
      "plt.ylabel(\"Bending Moment in lb.ft\")\n",
      "plt.title(\"Bending Moment Diagram\")\n",
      "plt.show()\n",
      "\n",
      "#The Bending Moment Diagram differs from that in the textbook because of curve type"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The following plots are the results\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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z9Ge4D8Osc7gPo4W5nmFmzcaHpJqU+zPMrNl4hNHE3J9hZs3ECaPJeT5wM2sW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\nccIwM7NC/j98YLpV4JrJ+QAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10b6bd690>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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GUNVPgL0yGVQuE9nSynCZs3gxrFsHzZqFjsRlQsOG1nr8979DR1IxP/5os6GO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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10bf2d310>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example 4.4.6, Page No:127"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import math\n",
      "\n",
      "#Variable Decleration\n",
      "P1=15 #Load in kN\n",
      "P2=25 #Load in kN\n",
      "P3=50 #Load in kN\n",
      "R=90 #Load in kN\n",
      "L1=3.5 #Length in m\n",
      "L2=2 #Length in m\n",
      "L3=3 #Length in m\n",
      "L=12 #Total span in m\n",
      "\n",
      "#Calculation\n",
      "#Part 1\n",
      "#Maximum Bending Moment at A\n",
      "R1=R*L1*L**-1 #Reaction 1 in kN\n",
      "M_A=R1*L1 #Moment about A in kN.m\n",
      "#Maximum Bending Moment at B\n",
      "R1_2=R*(L1+(L3-L2))*L**-1 #reaction 1 in kN\n",
      "M_B=R1_2*(L1+(L3-L2))-P1*L2 #Moment at B in kN.m\n",
      "\n",
      "#Maximum Moment at C\n",
      "R2=(P2+P3)*(L2+L3)*L**-1 #Reaction 2 in kN\n",
      "M_C=R2*(L2+L3) #Moment at C in kN.m\n",
      "\n",
      "M_max=max(M_A,M_B,M_C) #Maximum Bending Moment in kN.m\n",
      "\n",
      "#Part 2\n",
      "R2_2=R*(L-L3)*L**-1 #Reaction 2 in kN\n",
      "\n",
      "V_max=max(R1,R2,R1_2,R2_2) #Maximum Shear Force in kN\n",
      "\n",
      "\n",
      "#Result\n",
      "print \"The maximum Shear force is\",V_max,\"kN and the Maximum Bending Moment is\",round(M_max,1),\"kN.m\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The maximum Shear force is 67.5 kN and the Maximum Bending Moment is 156.3 kN.m\n"
       ]
      }
     ],
     "prompt_number": 22
    }
   ],
   "metadata": {}
  }
 ]
}