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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 19: FLYWHEEL"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 19.1: F1.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 19-1\n",
+"clc;\n",
+"clear;\n",
+"R=1200;\n",
+"b=300;\n",
+"t=150;\n",
+"N=500;\n",
+"m=7100*10^-9*b*t;\n",
+"Ar=b*t;\n",
+"Aa=Ar/4;\n",
+"C=(20280/t^2)+0.957+(Ar/Aa);\n",
+"w=2*%pi*N/60;\n",
+"V=w*R*10^-3;\n",
+"siga=2*10^3*m*V^2/(C*Aa*3);\n",
+"theta=30*%pi/180;\n",
+"alpha=30*%pi/180;\n",
+"x1=10^3*m*(V^2)/(b*t);\n",
+"y1=cos(theta)/(3*C*sin(alpha));\n",
+"z1=2000*R*10^-3/(C*t)*((1/alpha)-(cos(theta)/sin(alpha)));\n",
+"sigrr1=x1*(1-y1+z1);\n",
+"theta=0*%pi/180;\n",
+"x2=10^3*m*(V^2)/(b*t);\n",
+"y2=cos(theta)/(3*C*sin(alpha));\n",
+"z2=2000*R*10^-3/(C*t)*((1/alpha)-(cos(theta)/sin(alpha)));\n",
+"sigrr2=x2*(1-y2-z2);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('axial stress is %0.2f MPa ',siga);\n",
+" printf('\n tensile stress for theta=30deg is %0.1f MPa ',sigrr1);\n",
+" printf('\n tensile stress for theta=0deg is %0.2f MPa ',sigrr2);\n",
+" \n",
+" //The difference in the value of sigrr1 and sigrr2 is due to rounding-off of values."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 19.2: F2.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 19-2\n",
+"clc;\n",
+"clear;\n",
+"N=350;\n",
+"theta1=asin(sqrt((3-0.6)/4));\n",
+"theta1=theta1*180/%pi;\n",
+"theta2=(180)-theta1;\n",
+"//Ti=16000+6000*sind(3*theta);\n",
+"//To=16000+3600*sind(theta);\n",
+"a=-3600*(cosd(theta2)-cosd(theta1));\n",
+"b=2000*(cosd(3*theta2)-cosd(3*theta1));\n",
+"c=a+b;\n",
+"delU=c;\n",
+"Ks=0.05;\n",
+"w=2*%pi*N/60;\n",
+"I=delU/(Ks*w^2);\n",
+"V=25;\n",
+"Ir=I*0.95;\n",
+"R=V/w;\n",
+"Mr=Ir/R^2;\n",
+"rho=7150;\n",
+"t=sqrt(Mr*(10^6)/(2*%pi*R*2*rho));\n",
+"b=2*t;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('t is %0.2f mm ',t);\n",
+" printf('\n b is %0.2f mm ',b);\n",
+" printf('\n R is %0.3f m ',R);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 19.3: F3.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 19-3\n",
+"clc;\n",
+"clear;\n",
+"N=300;\n",
+"Ks=0.03;\n",
+"rho=7150;\n",
+"Kr=0.9;\n",
+"w=2*%pi*N/60;\n",
+"WD=(300*2*%pi)+(4*%pi*200/4);\n",
+"Tm=400;\n",
+"delU=%pi*200/16;\n",
+"Ir=Kr*delU/(w^2*Ks);\n",
+"R=Ir/(rho*1.5*0.1*0.1*2*%pi);\n",
+"R=R^(1/5);\n",
+"t=0.1*R*1000;\n",
+"b=1.5*t;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('t is %0.2f mm ',t);\n",
+" printf('\n b is %0.2f mm ',b);\n",
+" printf('\n R is %0.4f m ',R);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 19.4: F4.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"//sum 19-4\n",
+"clc;\n",
+"clear;\n",
+"d=20;\n",
+"t=12;\n",
+"Tus=450;\n",
+"Pmax=%pi*d*t*Tus;\n",
+"WD=Pmax*t/2*10^-3;\n",
+"n=0.95;\n",
+"Wi=WD/n;\n",
+"delU=5*Wi/6;\n",
+"N=300;\n",
+"w=2*%pi*N/60;\n",
+"Ks=0.2;\n",
+"I=delU/(Ks*w^2);\n",
+"Ir=I*0.9;\n",
+"R=0.5;\n",
+"m=Ir/R^2;\n",
+"rho=7150;\n",
+"t=sqrt(m*10^6/(rho*2*%pi*R*2));\n",
+"b=2*t;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('t is %0.1f mm ',t);\n",
+" printf('\n b is %0.1f mm ',b);\n",
+" printf('\n R is %0.1f m ',R);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 19.5: F5.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 19-5\n",
+"clc;\n",
+"clear;\n",
+"U=(500*2*%pi)+(3*%pi*500/2);\n",
+"Tm=U/(2*%pi);\n",
+"delU=2.25*%pi*125/2;\n",
+"Ks=0.1;\n",
+"N=250;\n",
+"w=2*%pi*N/60;\n",
+"I=delU/(Ks*w^2);\n",
+"t=0.03;\n",
+"rho=7800;\n",
+"R=(I*2/(%pi*rho*t))^(1/4);\n",
+"V=R*w;\n",
+"v=0.3;\n",
+"sigmax=rho*V^2*(3+v)/8*10^-6;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('R is %0.3f m ',R);\n",
+" printf('\n sigmax is %0.2f MPa ',sigmax);\n",
+" "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 19.6: F6.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 19-6\n",
+"clc;\n",
+"clear;\n",
+"N=1.5*8*60;\n",
+"l=200;\n",
+"t=1.5/2;\n",
+"W=350*10^3;\n",
+"WD=0.15*l*W*10^-6;\n",
+"n=0.9; //since frictional effect is 10%, effciency of system is 90%\n",
+"Wi=WD/n;\n",
+"L=400;\n",
+"delU=(L-(0.15*l))/(L)*10^3*Wi;\n",
+"Ks=0.12;\n",
+"w=2*%pi*N/60;\n",
+"I=delU/(Ks*w^2);\n",
+"Ir=I*0.9;\n",
+"R=0.7;\n",
+"m=Ir/R^2;\n",
+"rho=7150;\n",
+"t=sqrt(m*10^6/(rho*2*%pi*R*1.5));\n",
+"b=1.5*t;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('t is %0.1f mm ',t);\n",
+" printf('\n b is %0.1f mm ',b);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 19.7: F7.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 19-7\n",
+"clc;\n",
+"clear;\n",
+"N=144;\n",
+"//Let n be no. of punches/ min\n",
+"n=8;\n",
+"//Let t be timr for 1 punch\n",
+"t=60/n;\n",
+"theta=N/60*2*%pi*0.6;\n",
+"T=2.1;\n",
+"U=T*theta;\n",
+"//Let U1 be revolution of crankshaft in t sec\n",
+"U1=t*N/60*2*%pi;\n",
+"delU=(U1-theta)/U1*U*10^3;\n",
+"w=2*%pi*1440/60;\n",
+"Ks=0.1;\n",
+"I=delU/(Ks*w^2);\n",
+"Ir=I*0.9;\n",
+"rho=7100;\n",
+"\n",
+"R=Ir/(rho*0.2*0.1*2*%pi);\n",
+"R=R^(1/5);\n",
+"t=0.1*R*1000;\n",
+"b=0.2*R*10^3;\n",
+"t=40;\n",
+"b=80;\n",
+"R=400;\n",
+"// printing data in scilab o/p window\n",
+" printf('t is %0.0f mm ',t);\n",
+" printf('\n b is %0.0f mm ',b);\n",
+" printf('\n R is %0.0f mm ',R);"
+ ]
+ }
+],
+"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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