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diff --git a/Strength_of_Materials_by_Dr.R.K.Bansal/chapter24.ipynb b/Strength_of_Materials_by_Dr.R.K.Bansal/chapter24.ipynb
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+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:087506e84c2c9ece60ca0c23e6e5e2f5e309357e67157657330423d5e748517d"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 24 :Theories of Failure"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem 24.10,page no.1019"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "\n",
+      "#Given\n",
+      "#Variable declaration\n",
+      "P=9*1000                   #Axial pull in N\n",
+      "F=4.5*1000                 #Shear force in N  \n",
+      "sigmat_star=225            #Elastic limit in tension in N/sq.mm\n",
+      "Sf=3                       #Factor of safety \n",
+      "mu=0.3                     #Poisson's ratio \n",
+      "sigma3=0                   #third principle stress\n",
+      "\n",
+      "#Calculation\n",
+      "sigmat=sigmat_star/Sf             \n",
+      "sigma=(P/(math.pi/4))\n",
+      "tau=float(str(F/(math.pi/4))[:6])\n",
+      "sigma1=float(str((tau)+int(round(math.sqrt((sigma/2)**2+tau**2),0)))[:7])\n",
+      "sigma2=float(str((tau)-int(round(math.sqrt((sigma/2)**2+tau**2),0)))[:8])\n",
+      "d=round(((((sigma1-sigma2)**2+(sigma2-sigma3)**2+(sigma3-sigma1)**2)/(2*(sigmat**2)))**(1/4)),3)  \n",
+      "\n",
+      "#Result\n",
+      "print\"Diameter of the bolt =\",d,\"mm\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Diameter of the bolt = 14.217 mm\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Problem 24.12,page no.1027"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "#Given\n",
+      "#Variable declaration\n",
+      "d=1.2               #Diameter in m\n",
+      "p=1.5               #Internal pressure in MN/sq.m\n",
+      "sigmat_star=200     #Yield stress in MN/sq.m\n",
+      "Sf=3                #Factor of safety\n",
+      "\n",
+      "#Calculation\n",
+      "sigmat=sigmat_star/Sf    #Permissible stress in simple tension in MN/sq.m\n",
+      "\n",
+      "#case(i):Thickness on the basis of Maximum principal stress theory\n",
+      "t1=((p*d)/2)/sigmat*1e3\n",
+      "\n",
+      "#case(ii):Thickness on the basis of Maximum shear stress theory\n",
+      "t2=((p*d)/2)/sigmat*1e3\n",
+      "\n",
+      "#case(iii):Thickness on the basis of Maximum shear strain energy theory\n",
+      "t3=round(math.sqrt((((p*d/2)**2)+((p*d/4)**2)-((p*d/2)*(p*d/4)))/(sigmat**2)),4)\n",
+      "\n",
+      "#Result\n",
+      "print \"Thickness of plate on the basis of maximum principal stress theory =\",\"%.1fmm\"%t1\n",
+      "print \"Thickness of plate on the basis of maximum shear stress theory =\",\"%.1fmm\"%t2\n",
+      "print \"Thickness of plate on the basis of maximum shear strain energy theory =\",\"%.4fmm\"%t3"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Thickness of plate on the basis of maximum principal stress theory = 13.5mm\n",
+        "Thickness of plate on the basis of maximum shear stress theory = 13.5mm\n",
+        "Thickness of plate on the basis of maximum shear strain energy theory = 0.0117mm\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [],
+     "language": "python",
+     "metadata": {},
+     "outputs": []
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file