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-{
- "metadata": {
- "name": "",
- "signature": "sha256:1bd6512f5b9ca8155cc1e9c3b04ad8207681499e095afaf4830a217017e989ea"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 15: Fatigue"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 15.1 Pg.No.445"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "from scipy import integrate\n",
- "from sympy import symbols\n",
- "import math\n",
- "\n",
- "#eqn 15.30 K=S(pi*a)^1/2*alpha\n",
- "S=175 #stress range (N/mm^2)\n",
- "K=1708 #fracture toughness (n/mm^3/2)\n",
- "alpha=1 #constant\n",
- "n=4 #constant\n",
- "C=40*10**-15 #rate of crack growth (mm/cycle)\n",
- "ai=0.1 #initial crack length\n",
- "\n",
- "alpha_f=K**2/S**2/math.pi\n",
- "\n",
- "\n",
- "Nf=2/C/(n-2)/(S*math.pi**0.5)**n*(1/ai**((n-2)/2)-1/alpha_f**((n-2)/2))\n",
- "print \"Number of cycles to failure = %5.0f cycles\\n\"%(Nf)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Number of cycles to failure = 26919 cycles\n",
- "\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": []
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file