Revised list of TBCs

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diff --git a/Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter13.ipynb b/Mechanics_of_Materials_by_Pytel_and_Kiusalaas/Chapter13.ipynb
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-{
- "metadata": {
-  "name": "",
-  "signature": "sha256:09673653cb16b83119bc0c347f996805dac297e3d0e1db4167910bd881eb2ed7"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
-  {
-   "cells": [
-    {
-     "cell_type": "heading",
-     "level": 1,
-     "metadata": {},
-     "source": [
-      "Chapter 13: Inelastic Action"
-     ]
-    },
-    {
-     "cell_type": "heading",
-     "level": 2,
-     "metadata": {},
-     "source": [
-      "Example 13.13.1, Page No:461"
-     ]
-    },
-    {
-     "cell_type": "code",
-     "collapsed": false,
-     "input": [
-      "import math\n",
-      "\n",
-      "#Variable Decleration\n",
-      "d=150 #Depth of the web in mm\n",
-      "wf=100 #Width of the flange in mm\n",
-      "df=20 #Depth of the flange in mm\n",
-      "t=20 #Thickness of the web in mm\n",
-      "\n",
-      "#Calculations\n",
-      "y_bar=10**-3*(((wf*df*(d+df*0.5))+(d*t*d*0.5))/(wf*df+d*t)) #Distance of Neutral Axis in m\n",
-      "#Simplfying the computation\n",
-      "a=wf*df**3*12**-1\n",
-      "b=wf*df*((d+df*0.5)-y_bar*10**3)**2\n",
-      "c=t*d**3*12**-1\n",
-      "f=t*d*((d*0.5)-y_bar*10**3)**2\n",
-      "I=(a+b+c+f)*10**-12 #Moment of inertia in mm^3\n",
-      "\n",
-      "#Limit Moment\n",
-      "yp=(wf*df+d*t)/(2*t) #Plastic Neutral Axis in mm\n",
-      "Myp=I/y_bar #Yielding will start at moment without the stress term to ease computation\n",
-      "mom=10**-9*((t*yp**2*0.5)+(wf*df*(d-yp+10))+(t*25**2*0.5)) #Sum of 1st moments\n",
-      "Ml_Myp=mom*Myp**-1 #Ratio\n",
-      "\n",
-      "#Result\n",
-      "print \"The ratio ML/Myp=\",round(Ml_Myp,3)"
-     ],
-     "language": "python",
-     "metadata": {},
-     "outputs": [
-      {
-       "output_type": "stream",
-       "stream": "stdout",
-       "text": [
-        "The ratio ML/Myp= 1.765\n"
-       ]
-      }
-     ],
-     "prompt_number": 9
-    },
-    {
-     "cell_type": "heading",
-     "level": 2,
-     "metadata": {},
-     "source": [
-      "Example 13.13.2, Page No:467"
-     ]
-    },
-    {
-     "cell_type": "code",
-     "collapsed": false,
-     "input": [
-      "import math\n",
-      "import numpy as np\n",
-      "\n",
-      "#Variable Decleration\n",
-      "E_st=200 #Youngs Modulus of Steel in GPa\n",
-      "sigma_st_yp=290 #Yielding Stress in MPa\n",
-      "E_al=70 #Youngs Modulus of Aluminium in GPa\n",
-      "sigma_al_yp=330 #Yielding Stresss of Aluminium in MPa\n",
-      "A_st=900 #Area of steel rod in mm^2\n",
-      "A_al=600 #Area of Aluminium rod in mm^2\n",
-      "L_st=350 #Length of the steel rod in mm\n",
-      "L_al=250 #Length of the aluminium rod in mm\n",
-      "\n",
-      "#Calculations\n",
-      "#Limit Load\n",
-      "P_st=sigma_st_yp*A_st*10**-3 #Load in limiting condition in kN\n",
-      "P_al=sigma_al_yp*A_al*10**-3 #Load in limiting condition in kN\n",
-      "P_L=P_st+2*P_al #Total Loading in kN\n",
-      "\n",
-      "#Elastic Unloading\n",
-      "#Solving for Pst and Pal using matri approach\n",
-      "A=np.array([[1,2],[L_st*(E_st*A_st)**-1,-L_al*(E_al*A_al)**-1]])\n",
-      "B=np.array([P_L,0])\n",
-      "C=np.linalg.solve(A,B) #Loading in kN\n",
-      "\n",
-      "#Residual Stresses\n",
-      "P_res_st=C[0]-P_st #Residual Load in kN\n",
-      "P_res_al=C[1]-P_al #Residual Load in kN\n",
-      "sigma_st=P_res_st/A_st #residual Stress in Steel in MPa\n",
-      "sigma_al=P_res_al/A_al #residual Stress in Aluminium in MPa\n",
-      "\n",
-      "\n",
-      "#Result\n",
-      "print \"The Residual stresses are as follows\"\n",
-      "print \"Sigma_st=\",round(sigma_st*10**3,1),\"MPa and sigma_al=\",round(sigma_al*10**3,1),\"MPa\""
-     ],
-     "language": "python",
-     "metadata": {},
-     "outputs": [
-      {
-       "output_type": "stream",
-       "stream": "stdout",
-       "text": [
-        "The Residual stresses are as follows\n",
-        "Sigma_st= 151.5 MPa and sigma_al= -113.6 MPa\n"
-       ]
-      }
-     ],
-     "prompt_number": 22
-    }
-   ],
-   "metadata": {}
-  }
- ]
-}
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