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diff --git a/Mechanics_of_Materials_by_R_C_Hibbeler/2-Strain.ipynb b/Mechanics_of_Materials_by_R_C_Hibbeler/2-Strain.ipynb new file mode 100644 index 0000000..595dbf4 --- /dev/null +++ b/Mechanics_of_Materials_by_R_C_Hibbeler/2-Strain.ipynb @@ -0,0 +1,222 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 2: Strain" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.1: Strain1.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clear all; clc;\n", +"\n", +"disp('Scilab Code Ex 2.1 : ')\n", +"\n", +"//Given:\n", +"e_z= 4;\n", +"ab = 0.200; //m\n", +"\n", +"\n", +"//Calculations:\n", +"\n", +"//Part a)\n", +"\n", +"z=integrate('1+(40*10^-3)*(sqrt(z))','z',0,ab); //Strain formula for short line segment = delta(sdash) =(1+e_z)delta(s) \n", +"deltaB= z-ab;\n", +"deltaB_mm= deltaB*1000;\n", +"\n", +"//Part b)\n", +"\n", +"e_avg = deltaB/ab;// Normal strain formula : e = (delta(sdash) -delta(s))/delta(s)\n", +"\n", +"//Display:\n", +"\n", +"\n", +"printf('\n\nThe value of integration is =%10.5f m',z);\n", +"printf('\nThe displacement at the end of the rod is = %0.2f mm',deltaB_mm);\n", +"printf('\nThe average normal strain in the rod is =%10.4f mm/mm',e_avg);\n", +"\n", +"//-------------------------------------------------------------------------END----------------------------------------------------------------------------------\n", +"" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.2: Strain2.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clear all; clc;\n", +"\n", +"disp('Scilab Code Ex 2.2 : ')\n", +"\n", +"//Given:\n", +"theta = 0.002; //radians\n", +"bc=1; //m\n", +"ba = 0.5;//m\n", +"\n", +"//Calculations:\n", +"\n", +"bb_dash = theta*ba;\n", +"avg_normal_strain = bb_dash/bc;//m/m\n", +"\n", +"//Display:\n", +"\n", +"\n", +"printf('\n\nThe average normal strain =%10.3f m/m',avg_normal_strain);\n", +"\n", +"//---------------------------------------END---------------------------------------------------------------------------------------------\n", +"" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.3: Strain3.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clear all; clc;\n", +"\n", +"disp('Scilab Code Ex 2.3 : ')\n", +"\n", +"//Given:\n", +"\n", +"ab= 250; //mm\n", +"bbdash_x = 3; //mm\n", +"bbdash_y = 2; //mm\n", +"ac = 300; //mm\n", +"\n", +"//calculations:\n", +"\n", +"//Part(a)\n", +"abdash = sqrt((ab - bbdash_y)^2 + (bbdash_x)^2); //Pythagoras theorem\n", +"avg_normal_strain = (abdash-ab)/ab;\n", +"\n", +"//Part(b)\n", +"gamma_xy = atan(bbdash_x/(ab - bbdash_y)); //shear strain formula\n", +"\n", +"//Display:\n", +"\n", +"printf('\n\nThe average normal strain along AB is =%10.5f mm/mm',avg_normal_strain);\n", +"printf('\nThe average shear strain = %10.5f rad',gamma_xy);\n", +"\n", +"//--------------------------------------------------------------------END-----------------------------------------------\n", +"\n", +"\n", +"\n", +"\n", +"\n", +"" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 2.4: Strain4.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"clear all; clc;\n", +"\n", +"disp('Scilab Code Ex 2.4 : ')\n", +"\n", +"//Given:\n", +"ab = 150; //mm\n", +"bc = 150; //mm\n", +"disp_cd= 2; //mm\n", +"ab_half = ab/2;\n", +"addash_half = (bc+disp_cd)/2 ;\n", +"\n", +"//Calculations:\n", +"\n", +"//Part(a)\n", +"\n", +"ac = sqrt((ab)^2 + (bc)^2); //Pythagoras theorem in mm\n", +"ac_m = ac/1000; //in m\n", +"acdash = sqrt((ab)^2 + (bc+disp_cd)^2); //Pythagoras theorem in mm\n", +"acdash_m = acdash/1000; //in m\n", +"\n", +"avg_strain_ac = (acdash_m - ac_m)/ac_m; //Normal strain formula\n", +"\n", +"//Part(b)\n", +"\n", +"theta_dash = 2* atan((addash_half)/(bc/2)); //theta found in radians\n", +"gamma_xy = (%pi / 2)- theta_dash; //shear strain formula\n", +"\n", +"//Display:\n", +"\n", +"\n", +"printf('\n\nThe average normal strain along the diagonal AC is =%10.5f mm/mm',avg_strain_ac);\n", +"printf('\nThe shear strain at E relative to the x,y axes = %10.5f rad',gamma_xy);\n", +"\n", +"//----------------------------------------------------------------END---------------------------------------------------------------------------------------------\n", +"\n", +"" + ] + } +], +"metadata": { + "kernelspec": { + "display_name": "Scilab", + "language": "scilab", + "name": "scilab" + }, + "language_info": { + "file_extension": ".sce", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "scilab", + "version": "0.7.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |