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authorhardythe12015-04-07 15:58:05 +0530
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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:eb3a8ca85b2b3516ec190a12a8401ddf32d140498cd023be9bda6228b1754025"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 26: Closed Section Beams"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 26.3 Pg.No.693"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "from sympy import solve, symbols\n",
+ "import math\n",
+ "\n",
+ "\n",
+ "G=20000 #shear modulus (N/mm^2)\n",
+ "E=G/0.36 #young's modulus\n",
+ "tau=20 #torque (Nm/mm)\n",
+ "t=1\n",
+ "b=200\n",
+ "a=500\n",
+ "L=2500\n",
+ "A=800\n",
+ "\n",
+ "#torque at each support \n",
+ "T=20*5000/2\n",
+ "\n",
+ "mu=math.sqrt(8*G*t/(A*E*(b+a)))\n",
+ "\n",
+ "z=2500\n",
+ "F=-1.95/mu*math.cosh(mu*z)+1.75*z**2\n",
+ "\n",
+ "z=0 # at mid-span z=0\n",
+ "theta=10**(-8)*(1.95/mu*math.cosh(mu*z)-1.75*z**2+F)\n",
+ "print \"twist at mid-span = %1.3f rad = %1.2f degree\"%(theta,theta*180/math.pi)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "twist at mid-span = 0.108 rad = 6.20 degree\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file