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diff --git a/Material_Science_In_Engineering/ch19.ipynb b/Material_Science_In_Engineering/ch19.ipynb new file mode 100755 index 00000000..c548a0e1 --- /dev/null +++ b/Material_Science_In_Engineering/ch19.ipynb @@ -0,0 +1,223 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chatper 19 : Composite Materials" + ] + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 19.1 pageno : 507" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "t_s = 3.;\t\t\t#in mm\n", + "t_c = 24.;\t\t\t#in mm\n", + "b = 100.;\t\t\t#in mm\n", + "\n", + "# Calculations\n", + "d = (t_s+t_c)/2;\t\t\t#in mm\n", + "is_ = ((b*t_s**3)/12)+(b*t_s*d**2);\t\t\t#in mm**4\n", + "ic = b*t_c**3/12 \t\t\t#in mm**4\n", + "Es = 7000.; \t\t\t #moduli of polyester skin in N/mm**2\n", + "m_f = 20.; \t\t\t #moduli of foam core in N/mm**2\n", + "d_fr = (2*Es*is_)+(m_f*ic);\t\t\t #in N/mm**2\n", + "\n", + "Ts = 6\n", + "D_s = (Es*b*Ts**2)/12\n", + "c = d_fr/D_s\n", + "\n", + "# Results\n", + "print \"Flexural rigidity (in N/sqm) = %.2e\"%d_fr\n", + "print \"Ds = %.1e N mm**2\"%D_s\n", + "print \"Flexural rigidity of sandwich beam is %d times more\"%c\n", + "\n", + "\n", + "# Note : answer in book is wrong for D_s please check manually." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Flexural rigidity (in N/sqm) = 7.71e+08\n", + "Ds = 2.1e+06 N mm**2\n", + "Flexural rigidity of sandwich beam is 367 times more\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 19.2 page no : 520" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "ec = 210.;\t\t\t#in GPa\n", + "ea = 71.;\t\t\t#in GPa\n", + "eb = 440.;\t\t\t#in GPa\n", + "\n", + "# Calculations\n", + "va = (ec-eb)/(ea-eb);\n", + "vb = 1-va;\n", + "c = vb/va;\n", + "\n", + "# Results\n", + "print \"Volume ratio = %.2f\"%c\n", + "\n", + "# note : answer in book is wrong . please calculate manually.\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Volume ratio = 0.60\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 19.3 pageno : 521" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "ef = 430.;\t\t\t#in GPa\n", + "e = 3.6;\t\t\t#in GPa\n", + "m = ef/e;\n", + "vf = 0.15;\t\t\t#by volume\n", + "\n", + "# Calculations\n", + "vm = 1-vf;\n", + "x = vm/vf;\n", + "pf = m;\n", + "pc = m+x;\n", + "y = pf/pc;\n", + "vf1 = 0.65\n", + "vm1 = 1-vf1;\n", + "z = vm1/vf1;\n", + "pc1 = m+z;\n", + "zz = pf/pc1;\n", + "\n", + "# Results\n", + "print \"fraction of load carried by fibres (15 %% by volume) = %.2f\"%y\n", + "print \"fraction of load carried by fibres (65 %% by volume) = %.4f\"%zz\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "fraction of load carried by fibres (15 % by volume) = 0.95\n", + "fraction of load carried by fibres (65 % by volume) = 0.9955\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "Example 19.4 page no : 522" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "# Variables\n", + "vf = 0.65;\n", + "vm = 1-vf;\n", + "kts = 2.8; \t\t\t#in Gpa\n", + "ets = 0.0025;\t\t\t#in GPa\n", + "\n", + "# Calculations and Results\n", + "ac = (kts*vf)+(ets*vm);\t\t\t#in GPa\n", + "print \"Longitudinal Strength (in GPa) = %.2f\"%ac\n", + "\n", + "ktm = 130.;\t\t\t#in GPa\n", + "etm = 3.5;\t\t\t#in GPa\n", + "ec = (ktm*vf)+(etm*vm);\n", + "print \"Longitudianl Modulous (in GPa) = %.2f\"%ec\n", + "\n", + "e_c = 1/((vf/ktm)+(vm/etm));\n", + "print \"Transverse Modulous (in GPa) = %.2f\"%e_c\n", + "\n", + "kp = 0.34;\t\t\t#in GPa\n", + "ep = 0.36;\t\t\t#in GPa\n", + "vlt = (vf*kp)+(vm*vm);\n", + "print \"Poissons Ratio = \",vlt\n", + "\n", + "glt = 1./((vf/2.2)+(vm/1.2));\t\t\t#in GPa\n", + "print \"Shear Modulous (in GPa) = %.2f\"%glt\n", + "\n", + "# note: answer in book is wrong for part a. please calculate manually.\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Longitudinal Strength (in GPa) = 1.82\n", + "Longitudianl Modulous (in GPa) = 85.72\n", + "Transverse Modulous (in GPa) = 9.52\n", + "Poissons Ratio = 0.3435\n", + "Shear Modulous (in GPa) = 1.70\n" + ] + } + ], + "prompt_number": 17 + } + ], + "metadata": {} + } + ] +}
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