From 6279fa19ac6e2a4087df2e6fe985430ecc2c2d5d Mon Sep 17 00:00:00 2001 From: kinitrupti Date: Fri, 12 May 2017 18:53:46 +0530 Subject: Removed duplicates --- Engineering_Physics_by_V_Rajendran/Chapter1.ipynb | 492 ++++++++++++++++++++++ 1 file changed, 492 insertions(+) create mode 100755 Engineering_Physics_by_V_Rajendran/Chapter1.ipynb (limited to 'Engineering_Physics_by_V_Rajendran/Chapter1.ipynb') diff --git a/Engineering_Physics_by_V_Rajendran/Chapter1.ipynb b/Engineering_Physics_by_V_Rajendran/Chapter1.ipynb new file mode 100755 index 00000000..3f1a5138 --- /dev/null +++ b/Engineering_Physics_by_V_Rajendran/Chapter1.ipynb @@ -0,0 +1,492 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:be338ef971644a9f5f4678fb763a92b7fd97bf3ce5a24c5818759072b8dab2d8" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "1: Elasticity" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.1, Page number 30" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "L=3; #length of wire(m)\n", + "A=6.25*10**-5; #cross sectional area(m**2)\n", + "delta_L=3*10**-3; #increase in length(m)\n", + "F=1.2*10**3; #force(N)\n", + "\n", + "#Calculation\n", + "Y=F*L/(A*delta_L); #young's modulus(N/m**2)\n", + "\n", + "#Result\n", + "print \"young's modulus is \",Y/10**10,\"*10**10 N/m**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "young's modulus is 1.92 *10**10 N/m**2\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.2, Page number 30" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "Y=2*10**11; #young's modulus(N/m**2)\n", + "L=2.75; #length of wire(m)\n", + "d=1*10**-3; #diameter(m)\n", + "M=1; #applied load(kg)\n", + "g=9.8; #acceleration due to gravity(N)\n", + "\n", + "#Calculation\n", + "T=M*g; #tension(N)\n", + "delta_L=T*L/(math.pi*(d/2)**2*Y); #increase in length of wire(m)\n", + "\n", + "#Result\n", + "print \"increase in length of wire is\",round(delta_L*10**4,5),\"*10**-4 m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "increase in length of wire is 1.71569 *10**-4 m\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.3, Page number 31" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "F=0.3; #force(N)\n", + "d=5*10**-3; #displacement(m)\n", + "L=6*10**-2; #length of solid(m)\n", + "B=6*10**-2; #breadth of solid(m)\n", + "h=2*10**-2; #height of solid(m)\n", + "\n", + "#Calculation\n", + "s=F/(L*B); #shear stress(N/m**2)\n", + "theta=d/h; #shear strain\n", + "rm=s/theta; #rigidity modulus(N/m**2)\n", + "\n", + "#Result\n", + "print \"shear stress is\",round(s,2),\"N/m**2\"\n", + "print \"shear strain is\",theta\n", + "print \"rigidity modulus is\",round(rm,2),\"N/m**2\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "shear stress is 83.33 N/m**2\n", + "shear strain is 0.25\n", + "rigidity modulus is 333.33 N/m**2\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.4, Page number 32" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "n=2.5*10**10; #rigidity modulus(N/m**2)\n", + "L=30*10**-2; #thickness(m)\n", + "A=12*10**-4; #surface area(m**2)\n", + "delta_L=1.5*10**-2; #displacement(m)\n", + "\n", + "#Calculation\n", + "F=n*A*delta_L/L; #shearing force(N)\n", + "\n", + "#Result\n", + "print \"shearing force is\",F/10**6,\"*10**6 N\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "shearing force is 1.5 *10**6 N\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.6, Page number 33" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "Y=7.25*10**10; #young's modulus of silver(N/m**2)\n", + "K=11*10**10; #bulk modulus of silver(N/m**2)\n", + "\n", + "#Calculation\n", + "sigma=(3*K-Y)/(6*K); #poisson's ratio\n", + "\n", + "#Result\n", + "print \"poisson's ratio is\",round(sigma,2)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "poisson's ratio is 0.39\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.7, Page number 34" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "L=3; #length of Cu wire(m)\n", + "Y=12.5*10**10; #young's modulus(N/m**2)\n", + "r=5*10**-4; #radius of wire(m)\n", + "sigma=0.26; #poisson's ratio\n", + "m=10; #load(kg)\n", + "g=9.8; #acceleration due to gravity(N)\n", + "\n", + "#Calculation\n", + "delta_L=m*g*L/(math.pi*r**2*Y); #extension produced(m)\n", + "ls=sigma*delta_L/3; #lateral strain\n", + "dd=ls*r*2; #decrease in diameter(m) \n", + "\n", + "#Result\n", + "print \"extension produced is\",round(delta_L*10**3,2),\"*10**-3 m\"\n", + "print \"lateral compression produced is\",round(dd*10**7,3),\"*10**-7 m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "extension produced is 2.99 *10**-3 m\n", + "lateral compression produced is 2.595 *10**-7 m\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.8, Page number 35" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "L=1; #length of wire(m)\n", + "d=1*10**-3; #diameter of wire(m)\n", + "n=2.8*10**10; #rigidity modulus of wire(N/m**2)\n", + "theta=math.pi/2; #angle of twisting(radian)\n", + "\n", + "#Calculation\n", + "C=math.pi**2*n*(d/2)**4/(4*L); #couple to be applied(Nm)\n", + "\n", + "#Result\n", + "print \"couple to be applied is\",round(C*10**3,5),\"*10**-3 Nm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "couple to be applied is 4.31795 *10**-3 Nm\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.9, Page number 35" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "d=0.82*10**-3; #diameter of wire(m)\n", + "delta_L=1*10**-3; #length of elongation produced(m)\n", + "m=0.33; #load(kg)\n", + "g=9.8; #acceleration due to gravity(N)\n", + "n=2.2529*10**9; #rigidity modulus of wire(N/m**2)\n", + "\n", + "#Calculation\n", + "Y=m*g/(math.pi*(d/2)**2*delta_L); #young's modulus(N/m**2)\n", + "sigma=(Y/(2*n))-1; #poisson's ratio\n", + "\n", + "#Result\n", + "print \"poisson's ratio is\",round(sigma,3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "poisson's ratio is 0.359\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.10, Page number 36" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "p1=1.01*10**5; #atmospheric pressure(N/m**2)\n", + "K=16*10**10; #bulk modulus(N/m**2)\n", + "p2=10**2; #increased pressure(N/m**2)\n", + "\n", + "#Calculation\n", + "dP=p1-p2; #change in pressure(N/m**2)\n", + "dV=dP/K; #fractional change of volume\n", + "\n", + "#Result\n", + "print \"change in volume of steel bar is\",round(dV*10**7,1),\"*10**-7 V m**3\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "change in volume of steel bar is 6.3 *10**-7 V m**3\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.11, Page number 37" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "Y=1.013*10**10; #young's modulus of bar(N/m**2)\n", + "b=2*10**-2; #breadth of bar(m)\n", + "l=1; #length of bar(m)\n", + "d=1*10**-2; #depth of bar(m)\n", + "m=2; #load(kg)\n", + "g=9.8; #acceleration due to gravity(N)\n", + "\n", + "#Calculation\n", + "y=m*g*l**3/(4*Y*b*d**3); #depression produced in bar(m)\n", + "\n", + "#Result\n", + "print \"depression produced in bar is\",round(y,6),\"m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "depression produced in bar is 0.024186 m\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 1.12, Page number 37" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "r=1.2*10**-2; #radius of cantilever(m)\n", + "l=1.5; #length of cantilever(m)\n", + "Y=19.5*10**10; #young's modulus(N/m**2)\n", + "m=2; #load(kg)\n", + "g=9.8; #acceleration due to gravity(N)\n", + "\n", + "#Calculation\n", + "y=4*m*g*l**3/(3*Y*math.pi*(r**4)); #depression produced in cantilever(m)\n", + "\n", + "#Result\n", + "print \"depression produced in cantilever is\",round(y*10**3,3),\"*10**-3 m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "depression produced in cantilever is 6.943 *10**-3 m\n" + ] + } + ], + "prompt_number": 11 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit