{
 "cells": [
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   "source": [
    "# Chapter 18: Extrusion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example 18.1, Extrusion Process, Page No. 629"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Force required for the Operation = 3827.95 metric tons\n",
      "\n",
      "\n",
      "Note: Slight calculation errors in book\n"
     ]
    }
   ],
   "source": [
    "from math import log\n",
    "from math import radians\n",
    "from math import tan\n",
    "from math import sqrt\n",
    "from math import pi\n",
    "\n",
    "#variable declaration\n",
    "def cot(x):\n",
    "    return 1/tan(x);\n",
    "Db=6;\n",
    "Df=2;\n",
    "L=15;\n",
    "v=2;\n",
    "alpha=60;\n",
    "mu=0.1;\n",
    "\n",
    "#calculations\n",
    "R=Db**2/Df**2;\n",
    "e=6*v*log(R)/Db\n",
    "sigma=200*e**0.15;\n",
    "alpha=radians(alpha);\n",
    "B=mu*cot(alpha);\n",
    "p_d=sigma*((1+B)/B)*(1-R**B);\n",
    "p_d=abs(p_d);\n",
    "t_i=sigma/sqrt(3);\n",
    "p_e=p_d+4*t_i*L/Db;\n",
    "p_e=p_e*145.0377;                    #conversion to psi\n",
    "A=pi*Db**2/4;\n",
    "P=p_e*A;\n",
    "P=P*0.000453;                      #conversion to metric tons\n",
    "\n",
    "#result\n",
    "print('\\nForce required for the Operation = %g metric tons\\n\\n\\nNote: Slight calculation errors in book')%(P);"
   ]
  }
 ],
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