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-{
- "metadata": {
- "name": "",
- "signature": "sha256:916802be9265ec8f5947b935ca6ebb81f4ee0ab392012dea0a384748212946ca"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Ch:25 Gears"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 25-1 - Page 669"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "from math import sqrt, pi\n",
- "Zp=25#\n",
- "Zg=60#\n",
- "m=5#\n",
- "dp=m*Zp#\n",
- "dg=m*Zg#\n",
- "CD=(dp+dg)/2#\n",
- "ha=m#\n",
- "hf=1.25*m#\n",
- "c=hf-ha#\n",
- "r=0.4*m#\n",
- "print \"dp is %0.0f mm \"%(dp)#\n",
- "print \"\\ndg is %0.0f mm \"%(dg)#\n",
- "print \"\\nCD is %0.1f mm \"%(CD)#\n",
- "print \"\\nha is %0.0f mm \"%(ha)#\n",
- "print \"\\nhf is %0.2f mm \"%(hf)#\n",
- "print \"\\nc is %0.2f mm \"%(c)#\n",
- "print \"\\nr is %0.0f mm \"%(r)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "dp is 125 mm \n",
- "\n",
- "dg is 300 mm \n",
- "\n",
- "CD is 212.5 mm \n",
- "\n",
- "ha is 5 mm \n",
- "\n",
- "hf is 6.25 mm \n",
- "\n",
- "c is 1.25 mm \n",
- "\n",
- "r is 2 mm \n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 25-2 - Page 669"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "N=800#\n",
- "P=6000#\n",
- "n=200#\n",
- "Cs=1.4#\n",
- "sigb=150#\n",
- "FOS=2#\n",
- "Zp=18#\n",
- "Zg=Zp*N/n#\n",
- "Y=pi*(0.154-(0.912/Zp))#\n",
- "p=[1 ,0 ,-9.5846, -38.135]#\n",
- "from sympy import symbols, solve\n",
- "P = symbols('P')\n",
- "expr = P**3*p[0]+P**2*p[1]+P*p[2]+p[3]\n",
- "m=solve(expr, P)[0]#\n",
- "dp=m*Zp#\n",
- "dg=m*Zg#\n",
- "# printing data in scilab o/p window\n",
- "print \"dp is %0.0f mm \"%(dp)#\n",
- "print \"\\ndg is %0.0f mm \"%(dg)#\n",
- "# Answer is given wrong in the textbook"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "dp is 77 mm \n",
- "\n",
- "dg is 309 mm \n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 25-3 - Page 670"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "Zp=30#\n",
- "N=1000#\n",
- "Zg=75#\n",
- "m=5#\n",
- "b=60#\n",
- "sigut=450#\n",
- "BHN=350#\n",
- "Cs=1.5#\n",
- "FOS=2#\n",
- "dp=m*Zp#\n",
- "dg=m*Zg#\n",
- "v=2*pi*N*dp/(60*1000*2)#\n",
- "Cv=3/(3+v)#\n",
- "sigb=450/3#\n",
- "Y=0.358#\n",
- "Sb=m*b*sigb*Y#\n",
- "Q=(2*Zg)/(Zp+Zg)#\n",
- "K=0.16*(BHN/100)**2#\n",
- "Sw=b*dp*Q*K#\n",
- "Pt=Sb*Cv/(Cs*FOS)#\n",
- "P=Pt*v#\n",
- "P=P*10**-3#\n",
- "print \"Sb is %0.0f N \"%(Sb)#\n",
- "print \"\\nSw is %0.0f N \"%(Sw)#\n",
- "print \"\\nP is %0.3f kW \"%(P)#\n",
- "\n",
- "#The difference in the value of Sw is due to rounding-off of the value of Q."
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Sb is 16110 N \n",
- "\n",
- "Sw is 25200 N \n",
- "\n",
- "P is 11.657 kW \n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 25-4 - Page 670"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "n=240#\n",
- "P=8000#\n",
- "N=1200#\n",
- "CD=300#\n",
- "Cs=1.5#\n",
- "alpha=20*pi/180#\n",
- "G=N/n#\n",
- "dp=CD*2/6#\n",
- "dg=5*dp#\n",
- "v=2*pi*N*dp/(60*1000*2)#\n",
- "Cv=3/(3+v)#\n",
- "Pt=P/v#\n",
- "Peff=Pt*Cs/Cv#\n",
- "m=4#\n",
- "b=10*m#\n",
- "FOS=2#\n",
- "Sb=Peff*FOS#\n",
- "sigut=600#\n",
- "sigb=sigut/3#\n",
- "Zp=dp/m#\n",
- "Zg=dg/m#\n",
- "Q=(2*Zg)/(Zp+Zg)#\n",
- "K=Sb/(b*dp*Q)#\n",
- "BHN=sqrt(K/0.16)*100#\n",
- "BHN=333#\n",
- "print \"BHN is %0.0f \"%(BHN)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "BHN is 333 \n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 25-5 - Page 671"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "alpha=20*pi/180#\n",
- "N=800#\n",
- "P=6000#\n",
- "sigut=450#\n",
- "i=5#\n",
- "Cs=1.3#\n",
- "v=3.6#\n",
- "FOS=2#\n",
- "Pt=P/v#\n",
- "Cv=3/(3+v)#\n",
- "sigb=sigut/3#\n",
- "dp=3.6*1000*2*60/(2*pi*N)#\n",
- "dp=86#\n",
- "Sb=Pt*Cs/Cv*FOS#\n",
- "#Let x be m**2*Y\n",
- "x=Sb/(10*sigb)#\n",
- "m=5#\n",
- "Zp=18#\n",
- "dp=m*Zp#\n",
- "Zg=i*Zp#\n",
- "dg=m*Zg#\n",
- "b=10*m#\n",
- "phip=m+(0.25*sqrt(dp))#\n",
- "ep=32+(2.5*phip)#\n",
- "phig=m+(0.25*sqrt(dg))#\n",
- "eg=32+(2.5*phig)#\n",
- "e=ep+eg#\n",
- "e=e*10**-3#\n",
- "Ps=Cs*Pt#\n",
- "r1=dp/2#\n",
- "r2=dg/2#\n",
- "Pd=e*N*Zp*b*r1*r2/(2530*sqrt(r1**2+r2**2))#\n",
- "Q=(2*Zg)/(Zp+Zg)#\n",
- "K=Sb/(b*dp*Q)#\n",
- "BHN=sqrt(K/0.16)*100#\n",
- "print \"Ps is %0.2f N \"%(Ps)#\n",
- "print \"\\nPd is %0.1f N \"%(Pd)#\n",
- "print \"\\nBHN is %0.0f \"%(BHN)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Ps is 2166.67 N \n",
- "\n",
- "Pd is 1358.6 N \n",
- "\n",
- "BHN is 282 \n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 25-4 - Page 672"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "P=9000#\n",
- "N=900#\n",
- "n=150#\n",
- "sigut=750#\n",
- "BHN=300#\n",
- "Cs=1.5#\n",
- "FOS=2#\n",
- "i=N/n#\n",
- "x=sqrt(i)#\n",
- "Zp=18#\n",
- "Zg=x*Zp#\n",
- "Zg=44#\n",
- "#Let actual speed reduction be xa\n",
- "xa=Zg/Zp#\n",
- "n1=N/xa**2#\n",
- "T1=P*60/(2*pi*N)#\n",
- "i2=N/xa#\n",
- "T2=N/i2*T1#\n",
- "m=6#\n",
- "dp=Zp*m#\n",
- "dg=m*Zg#\n",
- "phip=m+(0.25*sqrt(dp))#\n",
- "ep=16+(1.25*phip)#\n",
- "phig=m+(0.25*sqrt(dg))#\n",
- "eg=16+(1.25*phig)#\n",
- "e=ep+eg#\n",
- "e=e*10**-3#\n",
- "Pt=26000#\n",
- "Ps=Cs*Pt#\n",
- "r1=dp/2#\n",
- "r2=dg/2#\n",
- "b=10*m#\n",
- "Pd=e*i2*Zp*b*r1*r2/(2530*sqrt(r1**2+r2**2))#\n",
- "Q=(2*Zg)/(Zp+Zg)#\n",
- "sigb=sigut/3#\n",
- "Y=0.308#\n",
- "\n",
- "Sb=b*m*sigb*Y#\n",
- "K=0.16*(BHN/100)**2#\n",
- "Sw=b*dp*K*Q#\n",
- "print \"m is %0.0f mm \"%(m)#\n",
- "print \"\\nPd is %0.3f N \"%(Pd)#\n",
- "print \"\\nSw is %0.0f N \"%(Sw)#\n",
- " \n",
- " #The difference in the values is due to rounding-off of the values."
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "m is 6 mm \n",
- "\n",
- "Pd is 434.590 N \n",
- "\n",
- "Sw is 13244 N \n"
- ]
- }
- ],
- "prompt_number": 6
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-20 07:25:32 +0000