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authorPrashant S2020-04-14 10:25:32 +0530
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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 13: Principle of Virtual Work"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 13.1: Application_of_Principle_of_Virtual_Work.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Initilization of variables\n",
+"W=1000 // N // weight to be raised\n",
+"// Calculations\n",
+"// From the Principle of virtual work,\n",
+"P=W/2 // N\n",
+"// Results\n",
+"clc\n",
+"printf('The value of force (i.e P) that can hold the system in equilibrium is %f N \n',P)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 13.7: Application_of_Principle_of_Virtual_Work.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Initilization of variables\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",
+"// Calculations\n",
+"// Chosing the co-ordinate system with originat A, we can write,\n",
+"theta=45 // degree\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)/6)*(cosd(theta)/sind(theta)) // 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",
+"// 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)/6 // 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",
+"// Results\n",
+"clc\n",
+"printf('The Horizontal component of reaction at A (X_A) is %f N \n',X_A)\n",
+"printf('The Vertical component of reaction at A (Y_A) is %f N \n',Y_A)\n",
+"printf('The Horizontal component of reaction at B (X_B) is %f N \n',X_B)\n",
+"printf('The Vertical component of reaction at B (Y_B) is %f N \n',Y_B)"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}