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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