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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 19: Drawing of Rods, Wires and Tubes"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Example 19.1, Analysis of Wiredrawing, Page No. 640"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "Drawing Stress = 240.422 MPa\n",
+ "Drawing Force = 12.0849 kN\n",
+ "Power = 36.2548 kW\n",
+ "Horsepower = 48.599 hp\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import pi\n",
+ "from math import radians\n",
+ "from math import tan\n",
+ "from math import log\n",
+ "\n",
+ "#variable declaration\n",
+ "def cot(x):\n",
+ " return 1/tan(x);\n",
+ "Ab=10;\n",
+ "r=0.2;\n",
+ "alpha=12;\n",
+ "mu=0.09;\n",
+ "n=0.3;\n",
+ "K=1300;\n",
+ "v=3;\n",
+ "\n",
+ "#calculation\n",
+ "alpha=radians(alpha);\n",
+ "B=mu*cot(alpha/2);\n",
+ "e1=log(1/(1-r));\n",
+ "sigma=K*e1**0.3/(n+1);\n",
+ "Aa=Ab*(1-r);\n",
+ "sigma_xa=sigma*((1+B)/B)*(1-(Aa/Ab)**B);\n",
+ "Aa=pi*Aa**2/4;\n",
+ "Pd=sigma_xa*Aa;\n",
+ "Pd=Pd/1000; #conversion to kilo units\n",
+ "P=Pd*v;\n",
+ "H=P/0.746;\n",
+ "\n",
+ "#result\n",
+ "print('\\nDrawing Stress = %g MPa\\nDrawing Force = %g kN\\nPower = %g kW\\nHorsepower = %g hp')%(sigma_xa,Pd,P,H);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Example 19.2, Analysis of Wiredrawing, Page No. 645"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "By First Approximation, r = 0.514412\n",
+ "By Second Approximation, r = 0.830601\n"
+ ]
+ }
+ ],
+ "source": [
+ "from math import radians\n",
+ "from math import tan\n",
+ "from math import log\n",
+ "\n",
+ "#variable declaration\n",
+ "def cot(x):\n",
+ " return 1/tan(x);\n",
+ "alpha=12;\n",
+ "r=0.2;\n",
+ "mu=0.09;\n",
+ "n=0.3;\n",
+ "K=1300;\n",
+ "v=3;\n",
+ "\n",
+ "#calculation\n",
+ "alpha=radians(alpha);\n",
+ "B=mu*cot(alpha/2);\n",
+ "e1=log(1/(1-r));\n",
+ "sigma_xa=K*e1**0.3/(n+1);\n",
+ "r1=1-((1-(B/(B+1)))**(1/B));\n",
+ "e=log(1/(1-r1));\n",
+ "sigma0=1300*e**0.3;\n",
+ "r2=1-(1-((sigma0/sigma_xa)*(B/(B+1)))**(1/B));\n",
+ "\n",
+ "#result\n",
+ "print('\\nBy First Approximation, r = %g\\nBy Second Approximation, r = %g')%(r1,r2);"
+ ]
+ }
+ ],
+ "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
+}