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-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Chapter 9:Mechanical Properties of Materials"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 9.1,Page No:9.3"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Elongation = 0.435 mm\n",
- "Lateral contraction = 1.30 um\n"
- ]
- }
- ],
- "source": [
- "import math\n",
- "\n",
- "#variable declaration\n",
- "F = 8482; # Tensile force in newtons\n",
- "lo = 0.30; # length of steel wire in cm\n",
- "Y = 207*10**9; # Youngs modulus of steel Gpa\n",
- "r = 3*10**-3; # radius of steel wire in m\n",
- "v = 0.30; # poisson ratio\n",
- "\n",
- "# Calculations\n",
- "\n",
- "dl = (F*lo)/float(Y*math.pi*r**2); #elongation in mm\n",
- "e1 = dl/float(lo); #longitudanl strain \n",
- "e2 = v*e1 # lateral strain \n",
- "dr = e2*r; # lateral contraction in m\n",
- " \n",
- "# Result\n",
- "print'Elongation = %3.3f'%(dl*10**3),'mm';\n",
- "print'Lateral contraction = %3.2f '%(dr*10**6),'um';"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 9.3,Page No:9.7"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Engineering stress = 14.15 MPa\n"
- ]
- }
- ],
- "source": [
- "import math\n",
- "\n",
- "#variable declaration\n",
- "P = 400; # tensile force in newtons \n",
- "d = 6*10**-3; # diameter of steel rod m\n",
- "\n",
- "# Calculations\n",
- "r =d/float(2);\n",
- "E_stress = (P)/float((math.pi/float(4))*d*d); #e_stress in N/m**2\n",
- "\n",
- "#Result\n",
- "\n",
- "print'Engineering stress = %3.2f '%(E_stress*10**-6),'MPa';\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 9.4,Page No:9.7"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Percentage of elongation = 5.75 %\n"
- ]
- }
- ],
- "source": [
- "import math\n",
- "\n",
- "#variable declaration\n",
- "Lf = 42.3; #guage length after strain mm\n",
- "Lo = 40; # guage length in mm\n",
- "\n",
- "# Calculations\n",
- "e = ((Lf - Lo)/float(Lo))*100 #Engineering Strain in %\n",
- "\n",
- "#Result\n",
- "print'Percentage of elongation = %3.2f '%e,'%';"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 9.5,Page No:9.7"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Percent reduction in area = 30.1 %\n"
- ]
- }
- ],
- "source": [
- "import math\n",
- "\n",
- "#variable declaration\n",
- "dr = 12.8; # original diameter of steel wire in mm\n",
- "df = 10.7; # diameter at fracture in mm\n",
- "\n",
- "# Calculations\n",
- "percent_red = (((math.pi*dr*dr) - (math.pi*df*df))/float(math.pi*dr*dr))*100; #Percent reduction in area in %\n",
- "\n",
- "\n",
- "# Result\n",
- "print'Percent reduction in area = %3.1f'%percent_red,'%';"
- ]
- }
- ],
- "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": "2.7.6"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}