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-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Chapter 16: Forging"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Example 16.1, Forging in Plain Strain, Page No. 574"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\n",
- "At the centerline of the slab = 63044.5 psi\n",
- "\n",
- "\n",
- "Pressure Distributon from the centerline:\n",
- "\n",
- "---------------------------------\n",
- "\n",
- "x\tp (ksi)\t\tt_i (ksi)\n",
- "\n",
- "---------------------------------\n",
- "\n",
- "0\t63.0445\t\t15.7611\n",
- "\n",
- "0.25\t38.2384\t\t9.55961\n",
- "\n",
- "0.5\t23.1928\t\t5.7982\n",
- "\n",
- "0.75\t14.0671\t\t3.51678\n",
- "\n",
- "1\t8.53215\t\t2.13304\n",
- "\n",
- "1.25\t5.17501\t\t1.29375\n",
- "\n",
- "1.5\t3.1388\t\t0.7847\n",
- "\n",
- "1.75\t1.90378\t\t0.475945\n",
- "\n",
- "2\t1.1547\t\t0.288675\n",
- "\n",
- "---------------------------------\n",
- "\n",
- "\n",
- "For sticking friction:\n",
- "p_max = 10.3923 ksi\n",
- "\n",
- "\n",
- "The Forging load = 62.7695 tons\n"
- ]
- }
- ],
- "source": [
- "from math import sqrt\n",
- "from math import exp\n",
- "from math import log\n",
- "\n",
- "#variable declaration\n",
- "sigma=1000;\n",
- "mu=0.25;\n",
- "a=2;\n",
- "b=6;\n",
- "h=0.25;\n",
- "x=0;\n",
- "mu=0.25;\n",
- "\n",
- "#calculation\n",
- "p_max=2*sigma*exp(2*mu*(a-x)/h)/sqrt(3);\n",
- "print('\\nAt the centerline of the slab = %g psi\\n')%(p_max);\n",
- "print('\\nPressure Distributon from the centerline:');\n",
- "print('\\n---------------------------------\\n');\n",
- "print('x\\tp (ksi)\\t\\tt_i (ksi)\\n');\n",
- "print('---------------------------------\\n');\n",
- "while x<=2:\n",
- " p=2*sigma*exp(2*mu*(a-x)/h)/(1000*sqrt(3)); #in ksi\n",
- " t_i=mu*p;\n",
- " print('%g\\t%g\\t\\t%g\\n')%(x,p,t_i);\n",
- " x+=0.25;\n",
- "print('---------------------------------\\n');\n",
- "k=sigma/sqrt(3);\n",
- "x=0;\n",
- "p_max1=2*sigma*((a-x)/h+1)/sqrt(3);\n",
- "x1=a-h/(2*mu)*log(1/(2*mu));\n",
- "p=2*sigma*(a/(2*h)+1)/sqrt(3);\n",
- "P=2*p*a*b;\n",
- "P=P*0.000453; #conversion to metric tons\n",
- "\n",
- "#result\n",
- "print('\\nFor sticking friction:\\np_max = %g ksi')%(p_max1/1000);\n",
- "print('\\n\\nThe Forging load = %g tons')%(P);"
- ]
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 2",
- "language": "python",
- "name": "python2"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 2
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython2",
- "version": "2.7.9"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}