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 {
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	   "source": [
       "# Chapter 2: Strain"
	   ]
	},
{
		   "cell_type": "markdown",
		   "metadata": {},
		   "source": [
			"## Example 2.1: Strain1.sce"
		   ]
		  },
  {
"cell_type": "code",
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	   "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",
""
   ]
   }
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