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authorkinitrupti2017-05-12 18:40:35 +0530
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-{
- "metadata": {
- "name": "",
- "signature": "sha256:055c3393195abf0a8ef572fedb25f45ff1f7afe240916a9a2958b3762222b625"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Ch:18 Rolling bearings"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 18-1 - Page 507"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "from math import sqrt, pi\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",
- "print \"Pf is %0.2f W \"%(Pf)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Pf is 53.08 W \n"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 18-2 - Page 508"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "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",
- "print \"L1 is %0.1f million revolutions \"%(L1)#\n",
- "print \"\\nL2 is %0.2f million revoltions \"%(L2)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "L1 is 57.3 million revolutions \n",
- "\n",
- "L2 is 43.46 million revoltions \n"
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 18-4 - Page 509"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "P=20*10**3#\n",
- "Co=22400#\n",
- "C=41000#\n",
- "Ln=(C/P)**3#\n",
- "Lh=Ln*10**6/(720*60)#\n",
- "print \"Lh is %0.3f hrs \"%(Lh)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Lh is 199.424 hrs \n"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 18-5 - Page 510"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "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",
- "print \"Designation of Bearing B1 is %0.0f \"%(De1)#\n",
- "print \"\\nd1 is %0.0f mm \"%(d1)#\n",
- "print \"\\nD1 is %0.0f mm \"%(D1)#\n",
- "print \"\\nB1 is %0.0f mm \"%(B1)#\n",
- "print \"\\nC1 is %0.0f N \"%(C1)#\n",
- "print \"\\nDesignation of Bearing B2 is %0.0f \"%(De2)#\n",
- "print \"\\nd2 is %0.0f mm \"%(d2)#\n",
- "print \"\\nD2 is %0.0f mm \"%(D2)#\n",
- "print \"\\nB2 is %0.0f mm \"%(B2)#\n",
- "print \"\\nC2 is %0.0f N \"%(C2)#\n",
- "print 'Bearing 61805 at B1 and 16005 at B2 can be installed.'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Designation of Bearing B1 is 61805 \n",
- "\n",
- "d1 is 25 mm \n",
- "\n",
- "D1 is 37 mm \n",
- "\n",
- "B1 is 7 mm \n",
- "\n",
- "C1 is 3120 N \n",
- "\n",
- "Designation of Bearing B2 is 16005 \n",
- "\n",
- "d2 is 25 mm \n",
- "\n",
- "D2 is 47 mm \n",
- "\n",
- "B2 is 8 mm \n",
- "\n",
- "C2 is 7620 N \n",
- "Bearing 61805 at B1 and 16005 at B2 can be installed.\n"
- ]
- }
- ],
- "prompt_number": 14
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 18-6 - Page 511"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import tan\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",
- "\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",
- "print \"Lh1 is %0.0f hrs \"%(Lh1)#\n",
- "print \"\\nLh2 is %0.0f hrs \"%(Lh2)#\n",
- "#Incorrect value of P2 is taken in the book while calculating L2."
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Lh1 is 14585 hrs \n",
- "\n",
- "Lh2 is 24216 hrs \n"
- ]
- }
- ],
- "prompt_number": 15
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- " exa 18-7 - Page 511"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import log\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",
- "print \"C is %0.0f N \"%(C)#\n",
- "#The difference in the value of C is due to rounding-off of value of L."
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "C is 44589 N \n"
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 18-8 - Page 512"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "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",
- "print \"C is %0.3f kN \"%(C)#\n",
- "#The difference in the value of C is due to rounding-off of value of L."
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "C is 6.337 kN \n"
- ]
- }
- ],
- "prompt_number": 17
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 18-9 - Page 512"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "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",
- "print \"C is %0.0f N \"%(C)#\n",
- "#The difference in the value of C is due to rounding-off of value of Pe"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "C is 34219 N \n"
- ]
- }
- ],
- "prompt_number": 18
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 18-10 - Page 513"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "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",
- "print \"Lh is %0.2f hrs \"%(Lh)#\n",
- "#The difference in the value of Lh is due to rounding-off of value of Pe"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Lh is 227.66 hrs \n"
- ]
- }
- ],
- "prompt_number": 19
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file