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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:47a0669d4632eab71f162a005cd6d69531f951e47ad9f34d928b679209ff2467"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 09: Thin plates"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.1 Pg.No.310"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "h=400 #height of structure (mm)\n",
+ "l1=300 #length of small section (mm)\n",
+ "L=1200 #length of whole structure (mm)\n",
+ "E=70000 #youngs modulus (N/mm^2)\n",
+ "A_f=350 #area of flange (mm^2)\n",
+ "A_s=300 # area of stiffeners (mm^2)\n",
+ "t=2 #thickness (mm)\n",
+ "I=2000 #second moment of area (mm^4)\n",
+ "w=5\n",
+ "#eqn 9.29 tan(a)^4=(1+td/2A_F)/(1+td/2A_S)\n",
+ "alpha=math.atan(((1+t*h/2/A_f)/(1+t*l1/A_s))**0.25)\n",
+ "\n",
+ "#eqn 9.19\n",
+ "F_T=w*L/h+w/2/math.tan((alpha))\n",
+ "\n",
+ "#eqn 9.25 M_max=w*b^2*tan(a)/12/d\n",
+ "M_max=w*10**3*l1**2*math.tan(alpha)/12/h\n",
+ "print \"maximum value of bending moment = %1.1e N.mm \\n\"%(M_max)\n",
+ "\n",
+ "#eqn 9.23 P=w*b*tan(a)/d\n",
+ "P=w*l1*math.tan(alpha)/h\n",
+ "print \"compressive load in stiffener = %1.1f kN \\n\"%(P)\n",
+ "\n",
+ "#eqn 9.24 le=d/(4-2b/d)^0.5\n",
+ "le=h/(4-2*l1/h)**0.5\n",
+ "print \"equivalent length of stiffener = %3.1f mm\\n\"%(le)\n",
+ "\n",
+ "#eqn 8.7 Pcr=pi^2*E*I/le^2\n",
+ "P_CR=math.pi**2*E*I/le**2\n",
+ "print \"buckling load of a stiffener = %2.1f kN \\n\"%(P_CR) #approx. value in book"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "maximum value of bending moment = 8.6e+04 N.mm \n",
+ "\n",
+ "compressive load in stiffener = 3.4 kN \n",
+ "\n",
+ "equivalent length of stiffener = 253.0 mm\n",
+ "\n",
+ "buckling load of a stiffener = 21589.8 kN \n",
+ "\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file