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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 18: ROLLING BEARINGS"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 18.10: RB10.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 18-10\n",
+"clc;\n",
+"clear;\n",
+"Co=695;\n",
+"C=1430;\n",
+"Pa1=200;\n",
+"Pr1=600;\n",
+"x=Pa1/Co;\n",
+"y=Pa1/Pr1;\n",
+"e=0.37+((0.44-0.37)*0.038/0.28);\n",
+"X=1;\n",
+"Y=0;\n",
+"P1=600;\n",
+"Pa2=120;\n",
+"Pr2=300;\n",
+"X=0.56;\n",
+"Y=1.2-(0.2*0.042/0.12);\n",
+"P2=(X*Pr2)+(Y*Pa2);\n",
+"N1=1440;\n",
+"N2=720;\n",
+"t1=2/3;\n",
+"t2=1/3;\n",
+"n1=N1*t1;\n",
+"n2=N2*t2;\n",
+"N=(n1+n2);\n",
+"Pe=(((n1*P1^3)+(n2*P2^3))/N)^(1/3);\n",
+"L=(C/Pe)^3;\n",
+"Lh=L*10^6/(N*60);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('Lh is %0.2f hrs ',Lh);\n",
+" \n",
+" //The difference in the value of Lh is due to rounding-off of value of Pe"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 18.1: RB1.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 18-1\n",
+"clc;\n",
+"clear;\n",
+"Pr=16*10^3;\n",
+"u=0.0011;\n",
+"F=u*Pr;\n",
+"r=20*10^-3;\n",
+"//Let frictional moment be M\n",
+"M=F*r;\n",
+"N=1440;\n",
+"w=2*%pi*N/60;\n",
+"Pf=M*w;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('Pf is %0.2f W ',Pf);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 18.2: RB2.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 18-2\n",
+"clc;\n",
+"clear;\n",
+"C=5590;\n",
+"Ca=2500;\n",
+"Pa=625;\n",
+"Pr=1250;\n",
+"V=1;\n",
+"X=0.56;\n",
+"Y=1.2;\n",
+"P1=(X*V*Pr)+(Y*Pa);\n",
+"L1=(C/P1)^3;\n",
+"V=1.2;\n",
+"P2=(X*V*Pr)+(Y*Pa);\n",
+"L2=(C/P2)^3;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('L1 is %0.1f million revolutions ',L1);\n",
+" printf('\n L2 is %0.2f million revoltions ',L2);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 18.4: RB4.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 18-4\n",
+"clc;\n",
+"clear;\n",
+"P=20*10^3;\n",
+"Co=22400;\n",
+"C=41000;\n",
+"Ln=(C/P)^3;\n",
+"Lh=Ln*10^6/(720*60);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('Lh is %0.3f hrs ',Lh);"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 18.5: RB5.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 18-5\n",
+"clc;\n",
+"clear;\n",
+"R1x=120;\n",
+"R1y=250;\n",
+"R2x=300;\n",
+"R2y=400;\n",
+"Lh=8000;\n",
+"N=720;\n",
+"Ln=Lh*60*N*10^-6;\n",
+"R1=sqrt(R1x^2+R1y^2);\n",
+"R2=sqrt(R2x^2+R2y^2);\n",
+"//Let load factor be Ks\n",
+"Ks=1.5;\n",
+"P1=R1*Ks;\n",
+"P2=R2*Ks;\n",
+"C1=P1*(Ln^(1/3));\n",
+"C2=P2*(Ln^(1/3));\n",
+"//let designation,d,D,B,C at bearing B1 be De1,d1,D1,B1,C1\n",
+"d1=25;\n",
+"D1=37;\n",
+"B1=7;\n",
+"C1=3120;\n",
+"De1=61805;\n",
+"//let designation,d,D,B,C at bearing B2 be De2,d2,D2,B2,C2\n",
+"d2=25;\n",
+"D2=47;\n",
+"B2=8;\n",
+"C2=7620;\n",
+"De2=16005;\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('Designation of Bearing B1 is %0.0f ',De1);\n",
+" printf('\n d1 is %0.0f mm ',d1);\n",
+" printf('\n D1 is %0.0f mm ',D1);\n",
+" printf('\n B1 is %0.0f mm ',B1);\n",
+" printf('\n C1 is %0.0f N ',C1);\n",
+" printf('\n Designation of Bearing B2 is %0.0f ',De2);\n",
+" printf('\n d2 is %0.0f mm ',d2);\n",
+" printf('\n D2 is %0.0f mm ',D2);\n",
+" printf('\n B2 is %0.0f mm ',B2);\n",
+" printf('\n C2 is %0.0f N ',C2);\n",
+" \n",
+" disp('Bearing 61805 at B1 and 16005 at B2 can be installed.')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 18.6: RB6.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 18-6\n",
+"clc;\n",
+"clear;\n",
+"P=7500;\n",
+"N=1440;\n",
+"w=2*%pi*N/60;\n",
+"T=P/w;\n",
+"r=0.2;\n",
+"//Let T1-T2=t\n",
+"t=T/r;\n",
+"T2=t/2.5;\n",
+"T1=3.5*T2;\n",
+"R=0.125;\n",
+"Ft=T/R;\n",
+"Fr=Ft*tan(20*%pi/180);\n",
+"// RD & RA are reaction forces calculated in vertical and horizontal directions from FBD by force equilibrium\n",
+"RDv=186.5;\n",
+"RAv=236.2;\n",
+"RDh=36.2;\n",
+"RAh=108.56;\n",
+"RA=sqrt(RAv^2+RAh^2);\n",
+"RD=sqrt(RDv^2+RDh^2);\n",
+"Ks=1.4;\n",
+"P1=RA*Ks;\n",
+"P2=RD*Ks;\n",
+"//let designation,d,D,B,C at bearing B1 be De1,d1,C1\n",
+"d1=25;\n",
+"C1=3120;\n",
+"De1=61805;\n",
+"//let designation,d,D,B,C at bearing B2 be De2,d2,C2\n",
+"d2=25;\n",
+"C2=2700;\n",
+"De2=61804;\n",
+"L1=(C1/P1)^3;\n",
+"Lh1=L1*10^6/(720*60);\n",
+"L2=(C2/P2)^3;\n",
+"Lh2=L2*10^6/(720*60);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('Lh1 is %0.0f hrs ',Lh1);\n",
+" printf('\n Lh2 is %0.0f hrs ',Lh2);\n",
+" \n",
+" //Incorrect value of P2 is taken in the book while calculating L2."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 18.7: RB7.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 18-7\n",
+"clc;\n",
+"clear;\n",
+"P=3500;\n",
+"Lh=6000;\n",
+"N=1400;\n",
+"R98=0.98;\n",
+"R90=0.9;\n",
+"L98=Lh*60*N/10^6;\n",
+"x=(log(1/R98)/log(1/R90))^(1/1.17);\n",
+"L90=L98/x;\n",
+"C=P*L90^(1/3);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('C is %0.0f N ',C);\n",
+" \n",
+" //The difference in the value of C is due to rounding-off of value of L."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 18.8: RB8.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 18-8\n",
+"clc;\n",
+"clear;\n",
+"n=3;\n",
+"P=3;\n",
+"//Let Reliability of system be R\n",
+"R=0.83;\n",
+"L94=6;\n",
+"R94=(R)^(1/n);\n",
+"x=(log(1/R94)/log(1/0.90))^(1/1.17);\n",
+"L90=L94/x;\n",
+"C=P*L90^(1/3);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('C is %0.3f kN ',C);\n",
+" \n",
+" //The difference in the value of C is due to rounding-off of value of L."
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 18.9: RB9.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// sum 18-9\n",
+"clc;\n",
+"clear;\n",
+"P1=3000;\n",
+"P2=4000;\n",
+"P3=5000;\n",
+"N1=1440;\n",
+"N2=1080;\n",
+"N3=720;\n",
+"t1=1/4;\n",
+"t2=1/2;\n",
+"t3=1/4;\n",
+"n1=N1*t1;\n",
+"n2=N2*t2;\n",
+"n3=N3*t3;\n",
+"N=(n1+n2+n3);\n",
+"Pe=(((n1*P1^3)+(n2*P2^3)+(n3*P3^3))/N)^(1/3);\n",
+"Lh=10*10^3;\n",
+"L=Lh*60*N/10^6;\n",
+"C=Pe*L^(1/3);\n",
+"\n",
+" // printing data in scilab o/p window\n",
+" printf('C is %0.0f N ',C);\n",
+" \n",
+" //The difference in the value of C is due to rounding-off of value of Pe"
+ ]
+ }
+],
+"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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