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diff --git a/Machine_Design_by_U_C_Jindal/20-FLAT_BELT_DRIVE.ipynb b/Machine_Design_by_U_C_Jindal/20-FLAT_BELT_DRIVE.ipynb new file mode 100644 index 0000000..8fe6fcc --- /dev/null +++ b/Machine_Design_by_U_C_Jindal/20-FLAT_BELT_DRIVE.ipynb @@ -0,0 +1,418 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 20: FLAT BELT DRIVE" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 20.1: FBD1.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// sum 20-1\n", +"clc;\n", +"clear;\n", +"b=0.2;\n", +"P=50*10^3;\n", +"v=20;\n", +"m=1.95;\n", +"d=0.3;\n", +"D=0.9;\n", +"C=5.8;\n", +"u=0.4;\n", +"//Let density be rho\n", +"rho=1000;\n", +"E=40;\n", +"//Let T1-T2 = T\n", +"T=P/v;\n", +"//Let the centrifugal tension be Tc\n", +"Tc=m*v^2;\n", +"alpha=asind((D+d)/(2*C));\n", +"theta=180+(2*alpha);\n", +"theta=theta*%pi/180;\n", +"x = exp(u*theta);\n", +"T2=(((1-x)*Tc)-T)/(1-x);\n", +"//T1=T+T2;\n", +"T1=T+T2;\n", +"t=m/(b*rho)*10^3;\n", +"//Let maximum stress be sigmax\n", +"b=200;\n", +"d=300;\n", +"sigmax=(T1/(b*t)+((E*t)/d));\n", +"sigmin=(T2/(b*t));\n", +"\n", +" // printing data in scilab o/p window\n", +" printf('T1 is %0.1f N ',T1);\n", +" printf('\n T2 is %0.1f N ',T2);\n", +" printf('\n t is %0.2f mm ',t)\n", +" printf('\n theta is %0.2f rad ',theta)\n", +" printf('\n sigmax is %0.2f N/mm^2 ',sigmax);\n", +" printf('\n sigmin is %0.3f N/mm^2 ',sigmin);\n", +" \n", +" //The answer for T1 is miscalculated in the book." + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 20.2: FBD2.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// sum 20-2\n", +"clc;\n", +"clear;\n", +"P=12*10^3;\n", +"d=0.2;\n", +"D=0.5;\n", +"C=2;\n", +"sigmax=2*10^6;\n", +"t=8*10^-3;\n", +"//Let density be rho\n", +"rho=950;\n", +"u=0.38;\n", +"N=1500;\n", +"//Let angle of contact = thetad\n", +"thetad=180-(2*asind((D-d)/(2*C)));\n", +"thetad=thetad*%pi/180;\n", +"thetaD=(2*%pi)-thetad;\n", +"v=(2*%pi*N*d)/(60*2);\n", +"//Let T1-T2=T\n", +"T=P/v;\n", +"x=exp(u*thetad);\n", +"b=(T*x)/((1-x)*t*((rho*v^2)-(sigmax)));\n", +"b=b*10^3;\n", +"//Let breadth of the pulley be b1\n", +"b1=b*10^3+13; //Table 20-3\n", +"L=sqrt((4*C^2)-(C*(D-d)^2))+((D*thetaD)+(d*thetad))/2;\n", +"// Let pulley crown for d=h1, D=h2\n", +"h1=0.6; //Table 20-4\n", +"h2=1;\n", +"\n", +" // printing data in scilab o/p window\n", +" printf('b is %0.2f mm ',b)\n", +" printf('\n L is %0.2f m ',L)\n", +" printf('\n b1 is %0.2f mm ',b1);\n", +" printf('\n h1 is %0.1f mm ',h1);\n", +" printf('\n h2 is %0.1f mm ',h2);\n", +" " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 20.3: FBD3.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// sum 20-3\n", +"clc;\n", +"clear;\n", +"P=11;\n", +"N=1440;\n", +"n=480;\n", +"C=2.4;\n", +"//Let power transmitte dfrom high speed belt =P1\n", +"P1=0.0118;\n", +"V=5;\n", +"Ks=1.2;\n", +"v=15;\n", +"d=v*10^3*60/(2*%pi*N);\n", +"d=0.2;\n", +"D=N/n*d;\n", +"//Let angle of contact =thetaA\n", +"thetaA=180-(2*asind((D-d)/(2*C)));\n", +"thetaA=thetaA*%pi/180;\n", +"v=(2*%pi*N*d)/(60*2);\n", +"//Let the arc of contact correction factor be Ka\n", +"Ka=1.05;\n", +"Pd=P*Ka*Ks;\n", +"//Let corrected load rating=Pc\n", +"Pc=P1*v/V;\n", +"b=Pd/(Pc*4);\n", +"thetaB=(2*%pi)-thetaA;\n", +"L=sqrt((4*C^2)-((D-d)^2))+((d*thetaA/2)+(D*thetaB)/2);\n", +"\n", +"\n", +" // printing data in scilab o/p window\n", +" printf('v is %0.2f m/s ',v)\n", +" printf('\n b is %0.3f mm ',b)\n", +" printf('\n L is %0.4f m ',L);" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 20.4: FBD4.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// sum 20-4\n", +"clc;\n", +"clear;\n", +"N=1440;\n", +"i=2.5;\n", +"C=3600;\n", +"//let load factor be LF\n", +"LF=1.3;\n", +"P=12*10^3;\n", +"n=N/i;\n", +"V=16;\n", +"d=V*10^3*60/(2*%pi*N);\n", +"d=220;\n", +"D=d*i;\n", +"V=2*%pi*N*d/(2*60*1000);\n", +"v=5;\n", +"//Let power transmitte dfrom high speed belt =P1\n", +"P1=0.0118;\n", +"//Let LR be the load rating of belt\n", +"LR=P1/v*V;\n", +"theta=180+(2*asind((D-d)/(2*C)));\n", +"theta=theta*%pi/180;\n", +"//Let Arc of contact connection factor be CF\n", +"CF=1-(0.03/2);\n", +"Pd=P*LF*CF;\n", +"b=Pd/(LR*5);\n", +"b=80;\n", +"L=sqrt((4*C^2)-(D+d)^2)+(theta*(D+d)/2);\n", +"L=L*10^-3;\n", +"\n", +" // printing data in scilab o/p window\n", +" printf('V is %0.1f m/s ',V)\n", +" printf('\n b is %0.0f mm ',b)\n", +" printf('\n L is %0.3f m ',L);\n", +" " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 20.5: FBD5.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// sum 20-5\n", +"clc;\n", +"clear;\n", +"i=3.6;\n", +"N=1440;\n", +"d=220;\n", +"Ks=1.2;\n", +"Kf=1.1;\n", +"C=5000;\n", +"u=0.8;\n", +"D=i*d;\n", +"//From table 20-7, the following data is available\n", +"t=5;\n", +"b=120;\n", +"Fa=30.64;\n", +"//let weight density be w\n", +"w=0.106*10^5;\n", +"Cp=0.71; //From table 20-6\n", +"Cv=1;\n", +"T1=Fa*b*t*Cp*Cv;\n", +"m=w*b*t/10^6;\n", +"V=2*%pi*N*d/(2*60*1000);\n", +"Tc=m*V^2/9.81;\n", +"theta=180+(2*asind((D-d)/(2*C)));\n", +"theta=theta*%pi/180;\n", +"x=u*theta;\n", +"T2=Tc+((T1-Tc)/exp(x));\n", +"Pd=(T1-T2)*V*10^-3;\n", +"P=Pd/(Ks*Kf);\n", +"\n", +" // printing data in scilab o/p window\n", +" printf('V is %0.2f m/s ',V);\n", +" printf('\n Pd is %0.2f KW ',Pd);\n", +" printf('\n P is %0.1f KW ',P);\n", +" \n", +" //The value of T2 is calculated incorrectly, therefore there is a difference in the values of Pd and P." + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 20.6: FBD6.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// sum 20-6\n", +"clc;\n", +"clear;\n", +"i=2.5;\n", +"C=4500;\n", +"N=960;\n", +"P=20*10^3;\n", +"Ks=1.15;\n", +"Kf=1.10;\n", +"t=8;\n", +"//let weight density be w\n", +"w=0.110*10^5;\n", +"m=w*t/10^6;\n", +"Fa=8.75;\n", +"d=200;\n", +"D=i*d;\n", +"u=0.4;\n", +"V=2*%pi*N*d/(2*60*1000);\n", +"Pd=P*Ks*Kf;\n", +"Cp=1;\n", +"Cv=0.6;\n", +"//to find b\n", +"T1=Fa*t*Cp*Cv;\n", +"Tc=m*V^2/9.81;\n", +"theta=180-(2*asind((D-d)/(2*C)));\n", +"theta=theta*%pi/180;\n", +"x=u*theta;\n", +"T2=Tc+((T1-Tc)/exp(x));\n", +"T=Pd/V;\n", +"b=T/(T1-T2);\n", +"//b=90;\n", +"L=sqrt((4*C^2)-(D+d)^2)+(theta*(D+d)/2);\n", +"L=L*10^-3;\n", +"\n", +" // printing data in scilab o/p window\n", +" printf('V is %0.2f m/s ',V)\n", +" printf('\n b is %0.3f mm ',b)\n", +" printf('\n L is %0.3f m ',L);\n", +" " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 20.7: FBD7.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// sum 20-7\n", +"clc;\n", +"clear;\n", +"b=160;\n", +"t=7;\n", +"P=3*10^3;\n", +"Ks=1.2;\n", +"d=160;\n", +"N=1440;\n", +"D=480;\n", +"C=2400;\n", +"w=11200;\n", +"u=0.4;\n", +"Fa=7.2;\n", +"m=w*b*t/10^6;\n", +"V=2*%pi*N*d/(2*60*1000);\n", +"Tc=m*V^2/9.81;\n", +"Cp=0.6; //from table 20-6\n", +"Cv=0.98; //from table 20-7\n", +"Ta=Fa*b*Cp*Cv;\n", +"T=P/V;\n", +"theta=180-(2*asind((D-d)/(2*C)));\n", +"theta=theta*%pi/180;\n", +"x=u*theta;\n", +"//T2=Tc+((T1-Tc)/exp(x));\n", +"T2=(T+((exp(x)*Tc)-Tc))/(exp(x)-1);\n", +"T1=T+T2;\n", +"Kf=Ta/T1;\n", +"Pd=P*Ks*Kf;\n", +"Pd=Pd*10^-3;\n", +"\n", +" // printing data in scilab o/p window\n", +" printf('Tc is %0.0f N ',Tc);\n", +" printf('\n T1 is %0.2f N ',T1);\n", +" printf('\n T2 is %0.2f N ',T2);\n", +" printf('\n Kf is %0.2f ',Kf);\n", +" printf('\n Pd is %0.1f KW ',Pd);\n", +" \n", +" //The difference in values of T1 and T2 is due to rounding-off of values.\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 +} |