From 4a1f703f1c1808d390ebf80e80659fe161f69fab Mon Sep 17 00:00:00 2001
From: Thomas Stephen Lee
Date: Fri, 28 Aug 2015 16:53:23 +0530
Subject: add books

---
 .../chapter13_8.ipynb                              | 121 +++++++++++++++++++++
 1 file changed, 121 insertions(+)
 create mode 100755 Engineering_Mechanics_by_Tayal_A.K./chapter13_8.ipynb

(limited to 'Engineering_Mechanics_by_Tayal_A.K./chapter13_8.ipynb')

diff --git a/Engineering_Mechanics_by_Tayal_A.K./chapter13_8.ipynb b/Engineering_Mechanics_by_Tayal_A.K./chapter13_8.ipynb
new file mode 100755
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+++ b/Engineering_Mechanics_by_Tayal_A.K./chapter13_8.ipynb
@@ -0,0 +1,121 @@
+{
+ "metadata": {
+  "name": "chapter13.ipynb"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 13: Principle Of Virtual Work"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 13.13-1,Page No:312"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "\n",
+      "# Initilization of variables\n",
+      "\n",
+      "W=1000 # N # weight to be raised\n",
+      "\n",
+      "# Calculations\n",
+      "\n",
+      "# From the Principle of virtual work,\n",
+      "P=W/2 # N\n",
+      "\n",
+      "# Results\n",
+      "\n",
+      "print\"The value of force (i.e P) that can hold the system in equilibrium is \",round(P),\"N\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The value of force (i.e P) that can hold the system in equilibrium is  500.0 N\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 13.13-7,Page No:317"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "import math\n",
+      "\n",
+      "# Initilization of variables\n",
+      "\n",
+      "P=1000 # N # Force acting at the hinge of the 1st square\n",
+      "Q=1000 # N # Force acting at the hinge of the 2nd square\n",
+      "\n",
+      "# Calculations\n",
+      "\n",
+      "# Chosing the co-ordinate system with originat A, we can write,\n",
+      "theta=45 # degree\n",
+      "\n",
+      "# Forces that do work are P,Q & X_B. Applying the principle of virtual work & Simplyfying and solving for X_B,\n",
+      "X_B=((2*P)*0.166666)*(cos(theta*(pi/180))/sin(theta*(pi/180))) # N # as 1/6=0.166666\n",
+      "\n",
+      "# Now give a virtual angular displacement to the whole frame about end A such that line AB turns by an angle delta_phi.\n",
+      "\n",
+      "# The force doing work are P,Q&Y_B.Applying the principle of virtual work & Simplyfying this eq'n and solving for Y_B,\n",
+      "Y_B=((3*Q)+P)*0.166666 # N  # as 1/6=0.166666\n",
+      "\n",
+      "# Simply by removing the support at A & replacing it by the reactions X_A & Y_A we can obtain,\n",
+      "X_A=X_B # N\n",
+      "Y_A=P+Q-Y_B # N\n",
+      "\n",
+      "# Results\n",
+      "\n",
+      "print\"The Horizontal component of reaction at A (X_A) is \",round(X_A,1),\"N\"\n",
+      "print\"The Vertical component of reaction at A (Y_A) is \",round(Y_A,1),\"N\"\n",
+      "print\"The Horizontal component of reaction at B (X_B) is \",round(X_B,1),\"N\"\n",
+      "print\"The Vertical component of reaction at B (Y_B) is \",round(Y_B,1),\"N\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The Horizontal component of reaction at A (X_A) is  333.3 N\n",
+        "The Vertical component of reaction at A (Y_A) is  1333.3 N\n",
+        "The Horizontal component of reaction at B (X_B) is  333.3 N\n",
+        "The Vertical component of reaction at B (Y_B) is  666.7 N\n"
+       ]
+      }
+     ],
+     "prompt_number": 13
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
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-- 
cgit