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authorkinitrupti2017-05-12 18:40:35 +0530
committerkinitrupti2017-05-12 18:40:35 +0530
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tree9806b0d68a708d2cfc4efc8ae3751423c56b7721 /Machine_Design_by_U.C._Jindal/Ch28.ipynb
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-{
- "metadata": {
- "name": "",
- "signature": "sha256:4d8f50c55aa5f869a3b91c9992fbc1206b0fe54a3763477766a504a0fd20f355"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Ch:28 Worm and worm wheel set"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 28-1 - Page 726"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "from math import sqrt, pi\n",
- "Z1=1#\n",
- "Z2=30#\n",
- "q=10#\n",
- "m=5#\n",
- "d=q*m#\n",
- "D=m*Z2#\n",
- "#let the speed reduction ratio be G\n",
- "G=Z2/Z1#\n",
- "CD=(d+D)/2#\n",
- "print \"G is %0.0f \"%(G)#\n",
- "print \"\\nCD is %0.0f mm \"%(CD)#\n",
- "print \"\\nd is %0.0f mm \"%(d)#\n",
- "print \"\\nD is %0.0f mm \"%(D)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "G is 30 \n",
- "\n",
- "CD is 100 mm \n",
- "\n",
- "d is 50 mm \n",
- "\n",
- "D is 150 mm \n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 28-2 - Page 726"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import tan, atan, cos\n",
- "Z1=1#\n",
- "Z2=52#\n",
- "q=10#\n",
- "m=8#\n",
- "i=Z2/Z1#\n",
- "CD=((m*q)+(m*Z2))/2#\n",
- "lamda=atan(Z1/q)#\n",
- "d=q*m#\n",
- "da=m*(q+2)#\n",
- "df=m*(q+2-(4.4*cos(lamda)))#\n",
- "pa=m*pi#\n",
- "D=m*Z2#\n",
- "Da=m*(Z2+(4*cos(lamda))-2)#\n",
- "Df=m*(Z2-2-(0.4*cos(lamda)))#\n",
- "print \"i is %0.0f \"%(i)#\n",
- "print \"\\nCD is %0.0f mm \"%(CD)#\n",
- "print \"\\npa is %0.2f mm \"%(pa)#\n",
- "print \"\\nda is %0.0f mm \"%(da)#\n",
- "print \"\\ndf is %0.3f mm \"%(df)#\n",
- "print \"\\nDa is %0.3f mm \"%(Da)#\n",
- "print \"\\nDf is %0.3f mm \"%(Df)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "i is 52 \n",
- "\n",
- "CD is 248 mm \n",
- "\n",
- "pa is 25.13 mm \n",
- "\n",
- "da is 96 mm \n",
- "\n",
- "df is 60.975 mm \n",
- "\n",
- "Da is 431.841 mm \n",
- "\n",
- "Df is 396.816 mm \n"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 28-3 - Page 727"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from math import sin\n",
- "Z1=2#\n",
- "Z2=60#\n",
- "q=10#\n",
- "m=5#\n",
- "P=6000#\n",
- "N=1440#\n",
- "u=0.08#\n",
- "alpha=20*pi/180#\n",
- "lamda=atan(Z1/q)#\n",
- "d=m*q#\n",
- "w=2*pi*N/60#\n",
- "T=P/w#\n",
- "Ptw=T*10**3/(d/2)#\n",
- "a=cos(alpha)#\n",
- "b=cos(lamda)#\n",
- "x=sin(alpha)#\n",
- "y=sin(lamda)#\n",
- "Paw=Ptw*(((a*b)-(u*y))/((a*y)+(u*b)))#\n",
- "Prw=Ptw*y/((a*y)+(u*b))#\n",
- "#Paw=Ptw*((cos(alpha)*cos(lambda))-(u*sin(lambda)))/((cos(alpha)*sin(lambda))+(u*cos(lambda)))#\n",
- "#Prw=Ptw*((sin(alpha))/((cos(alpha)*sin(lambda))+(u*cos(lambda))))#\n",
- "print \"Ptw=Pag is %0.1f N \"%(Ptw)#\n",
- "print \"\\nPaw=Ptg is %0.0f N \"%(Paw)#\n",
- "print \"\\nPrw=Prg is %0.0f N \"%(Prw)#\n",
- " \n",
- "#The difference in the value is due to rounding-off the values."
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Ptw=Pag is 1591.5 N \n",
- "\n",
- "Paw=Ptg is 5487 N \n",
- "\n",
- "Prw=Prg is 1188 N \n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 28-4 - Page 728"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "Z1=2#\n",
- "Z2=40#\n",
- "q=8#\n",
- "m=5#\n",
- "d=q*m#\n",
- "P=1.2#\n",
- "lamda=atan(Z1/q)#\n",
- "N=1000#\n",
- "Vt=2*pi*N*20/(60*1000)#\n",
- "Vs=Vt/cos(lamda)#\n",
- "u=0.032#\n",
- "alpha=20*pi/180#\n",
- "x=cos(alpha)#\n",
- "y=tan(lamda)#\n",
- "z=(cos(lamda))/sin(lamda)#\n",
- "n=(x-(u*y))/(x+(u*z))#\n",
- "#Let power output be Po\n",
- "Po=P*n#\n",
- "#Let power lost in friction be Pf\n",
- "Pf=P-Po#\n",
- "print \"P is %0.1f kW \"%(P)#\n",
- "print \"\\nPo is %0.3f kW \"%(Po)#\n",
- "print \"\\nPf is %0.3f kW \"%(Pf)#\n",
- " "
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "P is 1.2 kW \n",
- "\n",
- "Po is 1.047 kW \n",
- "\n",
- "Pf is 0.153 kW \n"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 28-5 - Page 729"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "Z1=2#\n",
- "Z2=54#\n",
- "q=10#\n",
- "m=8#\n",
- "P=4000#\n",
- "A=1.8#\n",
- "K=16#\n",
- "N=1000#\n",
- "u=0.028#\n",
- "lamda=atan(Z1/q)#\n",
- "alpha=20*pi/180#\n",
- "d=m*q#\n",
- "Vt=2*pi*N*d/(2*60*1000)#\n",
- "Vs=Vt/cos(lamda)#\n",
- "x=cos(alpha)#\n",
- "y=tan(lamda)#\n",
- "z=(cos(lamda))/sin(lamda)#\n",
- "n=(x-(u*y))/(x+(u*z))#\n",
- "delT=P*(1-n)/(K*A)#\n",
- "print \"n is %0.3f \"%(n)#\n",
- "print \"\\ndelT is %0.2f deg \"%(delT)#"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "n is 0.865 \n",
- "\n",
- "delT is 18.73 deg \n"
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "exa 28-6 - Page 729"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "Z1=1#\n",
- "Z2=30#\n",
- "q=10#\n",
- "m=6#\n",
- "#Let the ultimate strength of gear is sigut\n",
- "#Let the allowable strenth of wheel is sigb\n",
- "sigut=450#\n",
- "sigb=84#\n",
- "N=1200#\n",
- "n=N/Z2#\n",
- "alpha=20*pi/180#\n",
- "d=m*q#\n",
- "D=Z2*m#\n",
- "b=3*d/4#\n",
- "V=2*pi*n*D/(2*60*1000)#\n",
- "Cv=6/(6+V)#\n",
- "y=0.154-(0.912/Z2)#\n",
- "Y=pi*y#\n",
- "Sb=sigb*b*Cv*m*Y#\n",
- "K=0.415#\n",
- "Sw=b*D*K#\n",
- "print \"Sb is %0.0f N \"%(Sb)#\n",
- "print \"\\nSw is %0.0f N \"%(Sw)#\n",
- "\n",
- "#The difference in the value of Sb is due to rounding-off the values."
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Sb is 8286 N \n",
- "\n",
- "Sw is 3362 N \n"
- ]
- }
- ],
- "prompt_number": 13
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file