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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 21: V BELT DRIVE"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 21.1: VBELT1.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 21-1\n",
+"clc;\n",
+"clear;\n",
+"P1=12*10^3;\n",
+"d=0.3;\n",
+"D=0.9;\n",
+"C=0.9;\n",
+"A=230*10^-6;\n",
+"//density is rho\n",
+"rho=1100;\n",
+"N=1500;\n",
+"//Maximum stress is sig\n",
+"sig=2.1*10^6;\n",
+"//semi groove angle is b\n",
+"b=20*%pi/180;\n",
+"u=0.22;\n",
+"m=rho*A;\n",
+"v=2*%pi*N*d/(60*2);\n",
+"Tc=m*v^2;\n",
+"T1=A*sig;\n",
+"//wrap angle is thetaA\n",
+"ang=(D-d)/(2*C);\n",
+"thetaA=%pi/180*(180-(2*asind(ang)));\n",
+"thetaB=((2*%pi)-thetaA);\n",
+"x=u*thetaB;\n",
+"T2=Tc+((T1-Tc)/exp(x));\n",
+"P2=(T1-T2)*v;\n",
+"n=P1/P2;\n",
+"n=3; //(rounding off to nearest whole number)\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('Tc is %0.1f N ',Tc);\n",
+" printf('\n T1 is %0.0f N ',T1);\n",
+" printf('\n T2 is %0.1f N ',T2);\n",
+" printf('\n P2 is %0.0f W ',P2);\n",
+" printf('\n n is %0.0f ',n);\n",
+" \n",
+" "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 21.2: VBELT2.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 21-2\n",
+"clc;\n",
+"clear;\n",
+"D=0.6;\n",
+"d=0.3;\n",
+"C=0.9;\n",
+"m=0.193;\n",
+"n=2;\n",
+"N=1500;\n",
+"u=0.3;\n",
+"v=2*%pi*N/60*d/2;\n",
+"P=150*10^3;\n",
+"Tc=m*v^2;\n",
+"//let T1-T2=T\n",
+"T=P/(n*v);\n",
+"thetaA=%pi/180*(180-(2*asind((D-d)/(2*C))));\n",
+"thetaB=((2*%pi)-thetaA);\n",
+"//Groove angle=b\n",
+"b=17.5*%pi/180;\n",
+"x=u*thetaA/sin(b);\n",
+"y=exp(x);\n",
+"c=(Tc*(1-y));\n",
+"T2=(T+(Tc*(1-y)))/(y-1);\n",
+"//T2=(T-y)/Tc;\n",
+"T1=T+Tc;\n",
+"Lp=2*sqrt((C^2)-((D-d)/2)^2)+(thetaA*d/2)+(thetaB*D/2);\n",
+"v=sqrt(T/(3*m));\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('Tc is %0.2f N ',Tc);\n",
+" printf('\n T1 is %0.0f N ',T1);\n",
+" printf('\n T2 is %0.2f N ',T2);\n",
+" printf('\n Lp is %0.3f m ',Lp);\n",
+" printf('\n v is %0.2f m/s ',v);\n",
+" printf('\nThe designation of the belt is B-3251-45 ');\n",
+" \n",
+" //The difference in values of T1 and T2 is due to rounding-off of values."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 21.3: VBELT3.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 21-3\n",
+"clc;\n",
+"clear;\n",
+"C=1;\n",
+"m=0.35;\n",
+"d=0.25;\n",
+"P=22*10^3;\n",
+"//Let the smaller pulley dia be n\n",
+"//Let the larger pulley dia be N\n",
+"n=1000;\n",
+"N=400;\n",
+"D=d*n/N;\n",
+"v=2*%pi*n*d/(60*2);\n",
+"Tc=m*v^2;\n",
+"topwidth=22;\n",
+"h=14;\n",
+"bottomwidth=topwidth-(2*h*tand(20));\n",
+"A=(topwidth+bottomwidth)/2*h;\n",
+"//let allowable tension be Ta\n",
+"Ta=2.2;\n",
+"T1=A*Ta;\n",
+"u=0.28;\n",
+"thetaA=%pi/180*(180-(2*asind((D-d)/(2*C))));\n",
+"thetaB=((2*%pi)-thetaA);\n",
+"//Groove angle=b=19\n",
+"b=19*%pi/180;\n",
+"x=u*thetaA/sin(b);\n",
+"T2=Tc+((T1-Tc)/exp(x));\n",
+"n=P/((T1-T2)*v);\n",
+"Lp=2*sqrt((C^2)-((D-d)/2)^2)+(thetaA*d/2)+(thetaB*D/2);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('Tc is %0.2f N ',Tc);\n",
+" printf('\n T1 is %0.1f N ',T1);\n",
+" printf('\n T2 is %0.1f N ',T2);\n",
+" printf('\n n is %0.1f ',n);\n",
+" printf('\n Lp is %0.3f m ',Lp);\n",
+" printf('\nThe designation of the belt is C-3414-47 ');\n",
+" \n",
+" // difference in value of Lp is due to rounding-off the values of thetaA and thetaB."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 21.4: VBELT4.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 21-4\n",
+"clc;\n",
+"clear;\n",
+"P=12*10^3;\n",
+"Ks=1.1;\n",
+"Pd=12*10^3*Ks;\n",
+"N=1440;\n",
+"B=17;\n",
+"t=11;\n",
+"d=200;\n",
+"i=3;\n",
+"D=i*d;\n",
+"C=1000;\n",
+"// since angle of contact theta is very small\n",
+"theta=(D-d)/C;\n",
+"theta=theta*180/%pi;\n",
+"Kc=0.8;\n",
+"Lp=(2*C)+(%pi/2*(D+d))+(((D-d)^2)/(4*C));\n",
+"Li=Lp-45;\n",
+"Ki=1.1;\n",
+"//let number of v-belts required = n\n",
+"//let the KW rating be KWR\n",
+"KWR=5.23;\n",
+"n=(P*Ks)/(KWR*Ks*Ki*10^3);\n",
+"n=3;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('D is %0.1f mm ',D);\n",
+" printf('\n C is %0.1f mm ',C);\n",
+" printf('\n n is %0.3f ',n);\n",
+" printf('\n Li is %0.0f mm ',Li)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 21.5: VBELT5.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 21-5\n",
+"clc;\n",
+"clear;\n",
+"N=800;\n",
+"P=20;\n",
+"i=2.5;\n",
+"Ks=1.5; //(from table for 3-5 hrs/day)\n",
+"Pd=P*Ks;\n",
+"d=250;\n",
+"D=i*d;\n",
+"C=1.6*D;\n",
+"Lp=(2*C)+(%pi*(D+d)/2)+((D-d)^2)/(4*C);\n",
+"Li=Lp+74;\n",
+"Listd=3454;\n",
+"Lp=Listd+74;\n",
+"p=[1 -1.0768 0.0175];\n",
+"\n",
+"function r= myroots (p)\n",
+" \n",
+"a= coeff (p ,0);\n",
+"b= coeff (p ,1);\n",
+"c= coeff (p ,2);\n",
+"r(1)=( -b+ sqrt (b^2 -4*a*c ))/(2* a);\n",
+"r(2)=( -b- sqrt (b^2 -4*a*c ))/(2* a);\n",
+"endfunction\n",
+"z=roots(p);\n",
+"KW=9.4;\n",
+"Kc=0.795;\n",
+"K1=1;\n",
+"n=Pd/(KW*Kc*K1);\n",
+"\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('C is %0.4f m ',z);\n",
+" printf('\n Pd is %0.0f KW ',Pd);\n",
+" printf('\n n is %0.2f KW ',n);\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
+}
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