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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 15: Fundamentals of Metalworking"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example 15.1, Mechanics of Metal Working, Page No. 506"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Enginering Strain = 1\n",
"True Strain = 0.693147\n",
"Reduction = 1\n",
"\n",
"\n",
"Enginering Strain = -0.5\n",
"True Strain = -0.693147\n",
"Reduction = -1\n"
]
}
],
"source": [
"from math import log\n",
"\n",
"#For Bar which is double in length\n",
"#variable declaration 1\n",
"L2=2;\n",
"L1=1;\n",
"\n",
"#calculation 1\n",
"e=(L2-L1)/L1;\n",
"e1=log(L2/L1);\n",
"r=1-L1/L2;\n",
"\n",
"#result 1\n",
"print('\\nEnginering Strain = %g\\nTrue Strain = %g\\nReduction = %g')%(e,e1,r);\n",
"\n",
"\n",
"\n",
"#For bar which is halved in length\n",
"#variable declaration 2\n",
"L1=1;\n",
"L2=0.5;\n",
"\n",
"#calculation 2\n",
"e=(L2-L1)/L1;\n",
"e1=log(L2/L1);\n",
"r=1-L1/L2;\n",
"\n",
"#result 2\n",
"print('\\n\\nEnginering Strain = %g\\nTrue Strain = %g\\nReduction = %g')%(e,e1,r);\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"### Example 15.2, Mechanics of Metal Working, Page No. 511"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Plastic work done in 1st step = 39752.1 lb/in^2\n",
"Plastic work done in 2nd step = 97934.8 lb/in^2\n",
"\n"
]
}
],
"source": [
"\n",
"from scipy.integrate import quad\n",
"from math import log\n",
"\n",
"#variable declaration\n",
"D0=25.0;\n",
"D1=20.0;\n",
"D2=15.0;\n",
"def integrand(e):\n",
" return 200000*e**0.5\n",
"\n",
"#calculation\n",
"ep1=log((D0/D1)**2);\n",
"U1,U1_err=quad(integrand,0,ep1);\n",
"ep2=log((D1/D2)**2);\n",
"U2,U2_err=quad(integrand,ep1,ep1+ep2);\n",
"\n",
"#result\n",
"print('\\nPlastic work done in 1st step = %g lb/in^2\\nPlastic work done in 2nd step = %g lb/in^2\\n')%(U1,U2);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example 15.3, Hodography, Page No. 517"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pressure = 2.88675\n"
]
}
],
"source": [
"\n",
"from math import sin\n",
"from math import radians\n",
"\n",
"#variable declaration\n",
"alpha=60;\n",
"\n",
"#calculation\n",
"r=radians(alpha);\n",
"mu=1/sin(r);\n",
"p_2k=mu*5/2;\n",
"\n",
"#result\n",
"print('Pressure = %g')%(p_2k);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example 15.4, Temperature in Metalworking, Page No. 526"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Temperature Rise for aluminium = 78.4808 C\n",
"Temperature Rise for titanium = 162.686 C\n",
"\n"
]
}
],
"source": [
"\n",
"\n",
"#variable declaration\n",
"Al_s=200;\n",
"Al_e=1;\n",
"Al_p=2.69;\n",
"Al_c=0.215;\n",
"Ti_s=400;\n",
"Ti_e=1;\n",
"Ti_p=4.5;\n",
"Ti_c=0.124;\n",
"J=4.186;\n",
"b=0.95;\n",
"\n",
"#calculation\n",
"Al_Td=Al_s*Al_e*b/(Al_p*Al_c*J);\n",
"Ti_Td=Ti_s*Ti_e*b/(Ti_p*Ti_c*J);\n",
"\n",
"#result\n",
"print('\\nTemperature Rise for aluminium = %g C\\nTemperature Rise for titanium = %g C\\n')%(Al_Td,Ti_Td);\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example 15.5, Friction and Lubrication, Page No. 546"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"For OD after deformation being 70 mm, Di = 22.3607 mm\n",
"Precent change in inside diameter = 25.4644 percent\n",
"Peak pressure = 1.93531\n",
"\n",
"\n",
"\n",
"\n",
"For OD after deformation being 81.4 mm, Di = 35.0137 mm\n",
"Precent change in inside diameter = -16.7124 percent\n",
"Peak pressure = 1.17321\n"
]
}
],
"source": [
"\n",
"\n",
"from math import sqrt\n",
"\n",
"#variable declaration\n",
"Do=60;\n",
"Di=30;\n",
"def1=70;\n",
"def2=81.4;\n",
"h=10;\n",
"a=30;\n",
"\n",
"#calculation1\n",
"di=sqrt((Do**2-Di**2)*2-def1**2);\n",
"pr=(Di-di)/Di*100;\n",
"m=0.27;\n",
"p_s=1+2*m*a/(sqrt(3)*h);\n",
"\n",
"#result 1\n",
"print('\\nFor OD after deformation being 70 mm, Di = %g mm\\nPrecent change in inside diameter = %g percent\\nPeak pressure = %g')%(di,pr,p_s);\n",
"\n",
"#calculation 2\n",
"di=sqrt(def2**2-(Do**2-Di**2)*2);\n",
"pr=(Di-di)/Di*100;\n",
"m=0.05;\n",
"p_s=1+2*m*a/(sqrt(3)*h);\n",
"\n",
"#result 2\n",
"print('\\n\\n\\n\\nFor OD after deformation being 81.4 mm, Di = %g mm\\nPrecent change in inside diameter = %g percent\\nPeak pressure = %g')%(di,pr,p_s);\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
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"version": "2.7.9"
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"nbformat": 4,
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|
