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diff --git a/Materials_science_and_engineering_an_introduction/CH16.ipynb b/Materials_science_and_engineering_an_introduction/CH16.ipynb new file mode 100644 index 00000000..c360c16f --- /dev/null +++ b/Materials_science_and_engineering_an_introduction/CH16.ipynb @@ -0,0 +1,174 @@ +{
+ "metadata": {
+ "name": "CH16"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 16: Composites"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 16.1 Page No 589"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#(a) Compute the modulus of elasticity\n",
+ "#(b) find Load carried by each of fiber and matrix phase\n",
+ "#(c) Determine the strain\n",
+ "\n",
+ "#Given\n",
+ "E_gf=69.0 # in GPa Elasticity of glass fibre\n",
+ "mf_gf=0.4 #Vol % of glass fibre\n",
+ "E_pr=3.4 # in GPa Elasticity of poyester resin\n",
+ "mf_pr=0.6 #Vol % of polyester resin\n",
+ "\n",
+ "#Calculation\n",
+ "E_cl=(E_pr*mf_pr)+(E_gf*mf_gf)\n",
+ "Ac=250.0 #mm**2\n",
+ "sigma=50.0 #MPa\n",
+ "ratio=(E_gf*mf_gf)/(E_pr*mf_pr) # ratio=Ff/Fm\n",
+ "Fc=Ac*sigma #N\n",
+ "Fm=Fc/(ratio+1)\n",
+ "Ff=Fc-Fm\n",
+ "Am=mf_pr*Ac\n",
+ "Af=mf_gf*Ac\n",
+ "sigma_m=Fm/Am\n",
+ "sigma_f=Ff/Af\n",
+ "e_m=sigma_m/(E_pr*10**3) #Strain for matrix phase\n",
+ "e_f=sigma_f/(E_gf*10**3) #Strain for fiber phase\n",
+ "\n",
+ "#Result\n",
+ "print\"(a)Modulus of elasticity of composite is \",round(E_cl,0),\"GPa\"\n",
+ "print\"(b)Load carried by each of fiber and matrix phase is \",round(Ff,0),\"N\"\n",
+ "print\"(c)Strain for matrix phase is \",round(e_m,4)\n",
+ "print\" Strain for fiber phase is \",round(e_f,4)\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)Modulus of elasticity of composite is 30.0 GPa\n",
+ "(b)Load carried by each of fiber and matrix phase is 11640.0 N\n",
+ "(c)Strain for matrix phase is 0.0017\n",
+ " Strain for fiber phase is 0.0017\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 16.2 Page No 591"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Elastic Modulus Determination for a Glass Fiber-Reinforced Composite\u2014Transverse Direction\n",
+ "\n",
+ "#Given\n",
+ "E_gf=69 # in GPa Elasticity of glass fibre\n",
+ "mf_gf=0.4 #Vol % of glass fibre\n",
+ "E_pr=3.4 # in GPa Elasticity of poyester resin\n",
+ "mf_pr=0.6 #Vol % of polyester resin\n",
+ "\n",
+ "#Calculation\n",
+ "E_ct=E_pr*E_gf/((E_pr*mf_gf)+(E_gf*mf_pr)) #GPa\n",
+ "\n",
+ "#Result\n",
+ "print\"In transverse direction, modulus of elaticity is \",round(E_ct,1),\"GPa\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "In transverse direction, modulus of elaticity is 5.5 GPa\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Design Example 16.1 ,Page No :601"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#A tubular composite shaft is to be designed.\n",
+ "\n",
+ "#Given\n",
+ "Do=70*10**-3 #mm, outside diameter\n",
+ "Di=50*10**-3 #mm, inside diameter\n",
+ "L=1 #m Length\n",
+ "F=1000 #N load\n",
+ "dy=0.35*10**-3 #mm, deflection\n",
+ "\n",
+ "#Calculation\n",
+ "#Required longitudinal modulus of elasticity\n",
+ "E=(4*F*L**3)/(3*math.pi*dy*(Do**4-Di**4))\n",
+ "Vc=(math.pi*L*(Do**2-Di**2))/4.0\n",
+ "\n",
+ "#Result\n",
+ "print\"(a)longitudinal modulus of elasticity is\",round(E/10**9,1),\"GPa\"\n",
+ "print\"(b)The total tube volume is\",round(Vc*10**6,0),\"cm**3\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)longitudinal modulus of elasticity is 68.3 GPa\n",
+ "(b)The total tube volume is 1885.0 cm**3\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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