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diff --git a/Principles_Of_Geotechnical_Engineering/Chapter15.ipynb b/Principles_Of_Geotechnical_Engineering/Chapter15.ipynb
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+{

+ "metadata": {

+  "name": "",

+  "signature": "sha256:22297f0d75def8e7d02cf6683fa1bc18bc061c4f42d017f0fb81a9ce765834b6"

+ },

+ "nbformat": 3,

+ "nbformat_minor": 0,

+ "worksheets": [

+  {

+   "cells": [

+    {

+     "cell_type": "heading",

+     "level": 1,

+     "metadata": {},

+     "source": [

+      "Chapter15-Slope Stability"

+     ]

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Ex1-pg518"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#a.The factor of safety against sliding along the soil-rock interface.\n",

+      "#b.The height,H, that will give a factor of safety (Fs) of 2 against sliding alongthe soil-rock interface.\n",

+      "Gs=17.8\n",

+      "Gw=9.81\n",

+      "C=10.\n",

+      "c=20.\n",

+      "b=15.\n",

+      "H=6.\n",

+      "G=Gs-Gw\n",

+      "Fs= C/(Gs*H*math.cos(b/57.3)*math.cos(b/57.3)*math.tan(b/57.3))+G*math.tan(c/57.3)/(Gs*math.tan(b/57.3))\n",

+      "print'%s %.2f %s'%('a)The factor of safety = ',Fs,' ')\n",

+      "Fs=2.\n",

+      "H=2.247/(Fs-0.61)\n",

+      "print'%s %.2f %s'%(' b)H= ',H,' m')\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "a)The factor of safety =  0.98  \n",

+        " b)H=  1.62  m\n"

+       ]

+      }

+     ],

+     "prompt_number": 2

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Ex3-pg529"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#a.Determine the maximum depth up to which the excavation can be carried out.\n",

+      "#b.Find the radius,r, of the critical circle when the factor of safety is equal to 1(Part a).\n",

+      "#c. Find the distance  . BC\n",

+      "Cu=40.\n",

+      "G=17.5\n",

+      "b=60.\n",

+      "a=35.\n",

+      "c=72.5\n",

+      "m=0.195\n",

+      "Hc=Cu/(G*m)\n",

+      "r=Hc/(2.*math.sin(a/57.3)*math.sin((c/2)/57.3))\n",

+      "BC=Hc*((1./math.tan(a/57.3))-(1./math.tan(b/57.3)))\n",

+      "print'%s %.1f %s'%('a)The maximum depth Hc = ',Hc,' m')\n",

+      "print'%s %.2f %s'%(' b)The radius, r = ',r,' m')\n",

+      "print'%s %.3f %s'%(' c)The distance BC.= ',BC,' m')\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "a)The maximum depth Hc =  11.7  m\n",

+        " b)The radius, r =  17.28  m\n",

+        " c)The distance BC.=  9.973  m\n"

+       ]

+      }

+     ],

+     "prompt_number": 3

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Ex4-pg531"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#a.Determine the undrained cohesion of the clay (Figure 15.13).\n",

+      "#b.What was the nature of the critical circle?\n",

+      "#c. With reference to the toe of the slope, at what distance did the surface of sliding intersect the bottom of the excavation?\n",

+      "Gs=17.29\n",

+      "d=9.15\n",

+      "d1=6.1\n",

+      "D=d/d1\n",

+      "a=40.\n",

+      "m=0.175\n",

+      "b=40.\n",

+      "H=6.1\n",

+      "Cu=H*Gs*m\n",

+      "print'%s %.1f %s'%('a)The undrained cohesion of the clay Cu = ',Cu,' kN/m**2')\n",

+      "print(' b)The nature of the critical circle is midpointcircle')\n",

+      "d=1.5\n",

+      "b=40.\n",

+      "n=0.9\n",

+      "D1=n*H\n",

+      "print'%s %.1f %s'%(' c)Distance = ',D1,' m')\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "a)The undrained cohesion of the clay Cu =  18.5  kN/m**2\n",

+        " b)The nature of the critical circle is midpointcircle\n",

+        " c)Distance =  5.5  m\n"

+       ]

+      }

+     ],

+     "prompt_number": 4

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Ex5-pg534"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#a.Determine the maximum depth up to which the cut could be made.\n",

+      "#b.How deep should the cut be made if a factor of safety of 2 against sliding is required\n",

+      "Fs=1.\n",

+      "b=56.\n",

+      "Kh=0.25\n",

+      "M=3.66\n",

+      "Cu=500.\n",

+      "G=100.\n",

+      "Hc=Cu*M/G\n",

+      "print'%s %.1f %s'%('a)The maximum depth =',Hc,' ft')\n",

+      "Fs=2.\n",

+      "H=Cu*M/(G*Fs)\n",

+      "print'%s %.1f %s'%(' b)H= ',H,' ft')\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "a)The maximum depth = 18.3  ft\n",

+        " b)H=  9.2  ft\n"

+       ]

+      }

+     ],

+     "prompt_number": 5

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Ex6-pg541"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#a.Find the critical height of the slope.\n",

+      "#b.If the height of the slope is 10 m, determine the factor of safety with respect to strength.\n",

+      "b=45.\n",

+      "c=20.\n",

+      "C=24.\n",

+      "G=18.9\n",

+      "m=0.06\n",

+      "Hc=C/(G*m)\n",

+      "Cd=G*Hc*m\n",

+      "Fc=C/Cd\n",

+      "print'%s %.1f %s'%('a)Critical height of slope = ',Hc,'')\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "a)Critical height of slope =  21.2 \n"

+       ]

+      }

+     ],

+     "prompt_number": 6

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Ex7-pg544"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "# using Michalowski\u2019s solution.\n",

+      "import math\n",

+      "FSs=1.\n",

+      "c=20.\n",

+      "G=18.9\n",

+      "C=24.\n",

+      "Hcr=C/(G*math.tan(c/57.3)*0.17)\n",

+      "print'%s %.1f %s'%('a)Critical height Hc = ',Hcr,' m')\n",

+      "H=10.\n",

+      "k=C/(G*H*math.tan(c/57.3))\n",

+      "Fs=4.*math.tan(c/57.3)\n",

+      "print'%s %.1f %s'%(' b)Fs = ',Fs,'')\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "a)Critical height Hc =  20.5  m\n",

+        " b)Fs =  1.5 \n"

+       ]

+      }

+     ],

+     "prompt_number": 7

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Ex8-pg560"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "# Determine the factor ofsafety,Fs . Use Table 15.3.\n",

+      "W=22.4\n",

+      "C=20.\n",

+      "a=70.\n",

+      "s=math.sin(a/57.3)\n",

+      "c=math.cos(a/57.3)\n",

+      "l=2.924\n",

+      "Wn=W*s\n",

+      "Wn1=W*c\n",

+      "##doing this to all values\n",

+      "F1=30.501\n",

+      "F2=776.75\n",

+      "F3=1638.\n",

+      "Fs=(F1*C+F3*math.tan(C/57.3))/F2\n",

+      "print'%s %.2f %s'%('Fs = ',Fs,'')\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "Fs =  1.55 \n"

+       ]

+      }

+     ],

+     "prompt_number": 8

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Ex9-pg560"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#using Michalowski\u2019s solution\n",

+      "C=20.\n",

+      "G=18.5\n",

+      "r=0.25\n",

+      "H=21.62\n",

+      "C=25.\n",

+      "b= math.atan(0.5)\n",

+      "##from table 15.3 \n",

+      "m=1.624\n",

+      "n=1.338\n",

+      "Fs=m-n*r\n",

+      "print'%s %.1f %s'%(' The value of Fs for D= 1 is',Fs,'')\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        " The value of Fs for D= 1 is 1.3 \n"

+       ]

+      }

+     ],

+     "prompt_number": 9

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Ex11-pg561"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#using Michalowski\u2019s solution\n",

+      "C=20.\n",

+      "G=18.5\n",

+      "H=21.62\n",

+      "c=25.\n",

+      "r=0.25\n",

+      "Fs=3.1*math.tan(c/57.3)\n",

+      "print'%s %.1f %s'%('Fs = ',Fs,'')\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "Fs =  1.4 \n"

+       ]

+      }

+     ],

+     "prompt_number": 10

+    }

+   ],

+   "metadata": {}

+  }

+ ]

+}
\ No newline at end of file