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authorTrupti Kini2016-09-04 23:30:27 +0600
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A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter1.ipynb A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter2.ipynb A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter3.ipynb A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter4.ipynb A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter5.ipynb A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter6.ipynb A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter7.ipynb A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/chapter8.ipynb A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/screenshots/DCLOADLINEchapter4.png A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/screenshots/DCLOADLineCH4.png A Basic_Electronics_by_Rakesh_Kumar_Garg,_Ashish_Dixit_&_Paban_Yadav/screenshots/TransferCharofnchmosfetCH8.png A Engineering_Mechanics_by_A._K._Tayal/Chapter10.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter12.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter13.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter14.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter15.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter16.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter17.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter18.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter19.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter2.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter20.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter21.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter22.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter23.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter24.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter25.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter26.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter3.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter4.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter5.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter6.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter7.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter8.ipynb A Engineering_Mechanics_by_A._K._Tayal/Chapter9.ipynb A Engineering_Mechanics_by_A._K._Tayal/screenshots/1.png A Engineering_Mechanics_by_A._K._Tayal/screenshots/2.png A Engineering_Mechanics_by_A._K._Tayal/screenshots/3.png A Semiconductor_circuit_approximations_by_A.P._Malvino/ch10.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch11.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch12.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch14.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch16.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch2.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch3.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch4.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch5.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch6.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch7.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch8.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/ch9.ipynb A Semiconductor_circuit_approximations_by_A.P._Malvino/screenshots/ACloadLineChapter10.png A Semiconductor_circuit_approximations_by_A.P._Malvino/screenshots/DCandACloadlinechapter9.png A Semiconductor_circuit_approximations_by_A.P._Malvino/screenshots/Powerratingchapter9.png
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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"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The value of force (i.e P) that can hold the system in equilibrium is 500 N\n"
+ ]
+ }
+ ],
+ "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",
+ "print('The value of force (i.e P) that can hold the system in equilibrium is %d N'%P)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Example 13.7 Application of Principle of Virtual Work"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The Horizontal component of reaction at A (X_A) is 333.333333 N\n",
+ "The Vertical component of reaction at A (Y_A) is 1333.333333 N\n",
+ "The Horizontal component of reaction at B (X_B) is 333.333333 N\n",
+ "The Vertical component of reaction at B (Y_B) is 666.666667 N\n"
+ ]
+ }
+ ],
+ "source": [
+ "import math\n",
+ "# 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)*(math.cos(theta*math.pi/180)/math.sin(theta*math.pi/180)) # 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",
+ "print('The Horizontal component of reaction at A (X_A) is %f N'%X_A)\n",
+ "print('The Vertical component of reaction at A (Y_A) is %f N'%Y_A)\n",
+ "print('The Horizontal component of reaction at B (X_B) is %f N'%X_B)\n",
+ "print('The Vertical component of reaction at B (Y_B) is %f N'%Y_B)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.5.1"
+ },
+ "widgets": {
+ "state": {},
+ "version": "1.1.2"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}