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Diffstat (limited to 'Machine_Design_by_U.C._Jindal/Ch22.ipynb')
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diff --git a/Machine_Design_by_U.C._Jindal/Ch22.ipynb b/Machine_Design_by_U.C._Jindal/Ch22.ipynb new file mode 100644 index 00000000..30ed5549 --- /dev/null +++ b/Machine_Design_by_U.C._Jindal/Ch22.ipynb @@ -0,0 +1,598 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:b283e3fcd471f1cbe397d09e22017ed17e30966a86b52dc70653c73e3f5c2124" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Ch:22 Friction clutches" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-1 - Page 588" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from __future__ import division\n", + "from math import sqrt, pi\n", + "u=0.28 #(coefficient of friction)\n", + "N=300 #(Engine rpm)\n", + "I=7.2 \n", + "Pmax= 0.1# \n", + "R1=70#\n", + "R2=110#\n", + "n=2# #(Both sides of the plate are effective)\n", + "#Using Uniform Wear Theory\n", + "#Axial Force W\n", + "W=n*pi*Pmax*R1*(R2-R1)#\n", + "#Frictional Torque Tf\n", + "Tf=u*W*(R1+R2)/2*(10**-3)#\n", + "w=2*pi*N/60#\n", + "#Power P\n", + "P=Tf*w#\n", + "#Torque = Mass moment of inertia*angular acceleration\n", + "a=Tf/I#\n", + "t=w/a# \n", + "#Angle turned by driving shaft theta1 through which slipping takes place\n", + "theta1=w*t#\n", + "#angle turned by driven shaft theta2\n", + "theta2=a*(t**2)/2#\n", + "E=Tf*(theta1-theta2)#\n", + "print \"\\nThe force is %0.1f N\"%(W)#\n", + "print \"\\nThe Torque is %0.2f Nm\"%(Tf)#\n", + "print \"\\nThe Power is %0.0f W\"%(P)#\n", + "print \"\\nThe angular acceleration is %0.2f rad/sec**2\"%(a)#\n", + "print \"\\nThe time taken is %0.1f sec\"%(t)#\n", + "print \"\\nThe energy is %0.2f Nm\"%(E)#\n", + "\n", + "#The difference in the answer of energy 'E' is due to rounding-off of values." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "The force is 1759.3 N\n", + "\n", + "The Torque is 44.33 Nm\n", + "\n", + "The Power is 1393 W\n", + "\n", + "The angular acceleration is 6.16 rad/sec**2\n", + "\n", + "The time taken is 5.1 sec\n", + "\n", + "The energy is 3553.06 Nm\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-2 - Page 589" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Power P\n", + "P=80*10**3# #(Watt)\n", + "N=3000# #(Engine rpm)\n", + "w=2*pi*3*10**3/60\n", + "Tf=8*10**4/w#\n", + "Rm=100##(mm)\n", + "p=0.2 #N/mm**2\n", + "u=0.22 \n", + "# let width b= (R1-R2). \n", + "#Axial force W=2*pi*Rm*b*p\n", + "#Torque T=u*W*Rm\n", + "b=Tf/(u*2*pi*(Rm**2)*p)#\n", + "b=50# \n", + "R2=Rm+b#\n", + "R1=Rm-b#\n", + "Di=2*R1# #inner diameter\n", + "W=2*pi*Rm*b*p#\n", + "n=8# #n is number of springs\n", + "#Axial force per spring W1\n", + "W1=W/n#\n", + "W1=W1+15#\n", + "#axial deflection del\n", + "Del=10# \n", + "#stiffness k\n", + "k=W1/Del#\n", + "# Spring index C\n", + "C=6#\n", + "#number of coils n1\n", + "n1=6# #Assumption\n", + "d=k*n*n1*(C**3)/(80*10**3)#\n", + "d=11# # Rounding off to nearest standard value\n", + "D=C*d#\n", + "clearance=2#\n", + "FL=((n1+2)*d)+(2*Del)+clearance# # two end coils, therefore (2*del)\n", + "\n", + "print \"\\nThe Torque is %0.2f Nm\"%(Tf)#\n", + "print \"\\nThe width is %0.0f mm\"%(b)#\n", + "print \"\\nThe force is %0.0f N\"%(W)#\n", + "print \"\\nThe Axial force per spring is %0.0f N\"%(W1)#\n", + "print \"\\nThe Spring stiffness is %0.0f N/mm\"%(k)#\n", + "print \"\\nThe Spring wire diameter is %0.0f mm\"%(d)#\n", + "print \"\\nThe Mean coil diameter is %0.0f mm\"%(D)#\n", + "print \"\\nThe Free length is %0.0f mm\"%(FL)#" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "The Torque is 254.65 Nm\n", + "\n", + "The width is 50 mm\n", + "\n", + "The force is 6283 N\n", + "\n", + "The Axial force per spring is 800 N\n", + "\n", + "The Spring stiffness is 80 N/mm\n", + "\n", + "The Spring wire diameter is 11 mm\n", + "\n", + "The Mean coil diameter is 66 mm\n", + "\n", + "The Free length is 110 mm\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-3 - Page 589" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Power P\n", + "P=40*10**3 #Watt\n", + "n1=100# #rpm\n", + "n2=400# #rpm\n", + "#Speed factor Ks\n", + "Ks=0.9+0.001*n2#\n", + "#Clutch power Pc\n", + "Pc=P*n2/(n1*Ks)*10**-3#\n", + "print \"\\nThe Speed factor is %0.1f \"%(Ks)#\n", + "print \"\\nThe clutch poweris %0.0f KW\"%(Pc)#" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "The Speed factor is 1.3 \n", + "\n", + "The clutch poweris 123 KW\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-4 - Page 590" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# plot Torque vs Ro/Ri\n", + "#x=Ro/Ri\n", + "#According to Uniform Wear theory\n", + "x=[0, 0.2, 0.4, 0.577, 0.6, 0.8, 1.0]#\n", + "n=len(x)#\n", + "Tf = range(0,n)\n", + "for i in range(0,n):\n", + " Tf[i]=(x[i]-(x[i]**3))#\n", + "\n", + "%matplotlib inline\n", + "from matplotlib.pyplot import plot, xlabel, ylabel, show, grid\n", + "plot (x,Tf)#\n", + "xlabel(' Ro/Ri ')#\n", + "ylabel('Tf')#\n", + "grid()#\n", + "show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ "text": [ + "<matplotlib.figure.Figure at 0x7fe9440af310>" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-5 - Page 591" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "n1=4#\n", + "n2=3#\n", + "n=(n1+n2-1)#\n", + "R2=80#\n", + "R1=50#\n", + "#According to Uniform Pressure Theory\n", + "#W=p*pi*((R2**2)-(R1**2)) T=n*2*u*W*((R2**3)-(R1**3))/(((R2**2)-(R1**2))*3)\n", + "P=15*10**3#\n", + "N=1400#\n", + "u=0.25#\n", + "w=2*pi*N/60#\n", + "T=P/w#\n", + "W=T*3*((R2**2)-(R1**2))/(n*2*u*((R2**3)-(R1**3)))*10**3#\n", + "p=W/(pi*((R2**2)-(R1**2)))#\n", + "print \"\\nThe angular speed is %0.2f rad/sec\"%(w)#\n", + "print \"\\nThe Torque is %0.3f Nm\"%(T)#\n", + "print \"\\nThe uniform pressure is %0.3f N/mm**2\"%(p)#\n", + "print \"\\nThe Force is %0.1f N\"%(W)#" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "The angular speed is 146.61 rad/sec\n", + "\n", + "The Torque is 102.314 Nm\n", + "\n", + "The uniform pressure is 0.084 N/mm**2\n", + "\n", + "The Force is 1031.1 N\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-6 - Page 592" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "P=5*10**3#\n", + "N=1000#\n", + "w=2*pi*N/60#\n", + "Rm=50#\n", + "pm=0.3#\n", + "Tf=P/w#\n", + "u=0.1#\n", + "R2=50*2/(0.6+1)#\n", + "R1=0.6*R2#\n", + "#According to uniform Wear theory\n", + "W=pm*Rm*(R2-R1)*2*pi#\n", + "n=Tf*(10**3)/(u*W*Rm)#\n", + "pmax=pm*Rm/R1#\n", + "print \"\\nThe angular speed is %0.2f rad/sec\"%(w)#\n", + "print \"\\nThe Torque is %0.3f Nm\"%(Tf)#\n", + "print \"\\nThe Inner radius is %0.1f mm\"%(R1)#\n", + "print \"\\nThe Outer radius is %0.1f mm\"%(R2)#\n", + "print \"\\nThe number of contacting surfaces is %0.0f \"%(n)#\n", + "print \"\\nThe max. pressure is %0.1f N/mm**2\"%(pmax)#" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "The angular speed is 104.72 rad/sec\n", + "\n", + "The Torque is 47.746 Nm\n", + "\n", + "The Inner radius is 37.5 mm\n", + "\n", + "The Outer radius is 62.5 mm\n", + "\n", + "The number of contacting surfaces is 4 \n", + "\n", + "The max. pressure is 0.4 N/mm**2\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-7 - Page 593" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "P=12*10**3#\n", + "N=750 #Speed=N\n", + "w=2*pi*N/60#\n", + "Tf=P/w#\n", + "p1=0.12#\n", + "a=12.5##Semi-cone angle\n", + "u=0.3#\n", + "k=u*0.18246*1.121/0.21644#\n", + "R1=(Tf*(10**3)/k)**(1/3)#\n", + "R2=R1*1.242#\n", + "Rm=1.121*R1#\n", + "W=2*pi*p1*R1*(R2-R1)#\n", + "print \"\\nThe angular speed is %0.2f rad/sec\"%(w)#\n", + "print \"\\nThe Torque is %0.1f Nm\"%(Tf)#\n", + "print \"\\nThe Inner radius is %0.1f mm\"%(R1)#\n", + "print \"\\nThe Outer radius is %0.1f mm\"%(R2)#\n", + "print \"\\nThe mean radius is %0.2f mm\"%(Rm)#\n", + "print \"\\nThe axial force is %0.0f N\"%(W)#\n", + "\n", + "#The difference in the answer is due to rounding-off of values." + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "The angular speed is 78.54 rad/sec\n", + "\n", + "The Torque is 152.8 Nm\n", + "\n", + "The Inner radius is 81.4 mm\n", + "\n", + "The Outer radius is 101.1 mm\n", + "\n", + "The mean radius is 91.23 mm\n", + "\n", + "The axial force is 1208 N\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-8 - Page 594" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sin\n", + "#semi-cone angle is given as 15 degree\n", + "k=sin(15*pi/180)#\n", + "u=0.3#\n", + "W=300#\n", + "Rm=90/2#\n", + "Tf=u*W*Rm/k#\n", + "Tf=Tf*(10**-3)#\n", + "I=0.4#\n", + "a=Tf/I#\n", + "N=1440#\n", + "w=2*pi*N/60#\n", + "t=w/a#\n", + "#During Slipping\n", + "theta1=w*t#\n", + "theta2=theta1/2#\n", + "U=Tf*(theta1-theta2)#\n", + "print \"\\nThe Torque is %0.3f Nm\"%(Tf)#\n", + "print \"\\nThe angular acceleration is %0.3f rad/sec**2\"%(a)#\n", + "print \"\\nThe angular speed is %0.1f rad/sec\"%(w)#\n", + "print \"\\nThe time taken is %0.2f sec\"%(t)#\n", + "print \"\\nThe Energy lost in friction is %0.0f Nm\"%(U)#" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "The Torque is 15.648 Nm\n", + "\n", + "The angular acceleration is 39.120 rad/sec**2\n", + "\n", + "The angular speed is 150.8 rad/sec\n", + "\n", + "The time taken is 3.85 sec\n", + "\n", + "The Energy lost in friction is 4548 Nm\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-9 - Page 595" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "P=15*10**3#\n", + "Ka=1.25#\n", + "N=1500#\n", + "w=2*pi*N/60#\n", + "Tf=P/w#\n", + "d=(Tf*16/(50*pi))**(1/3)#\n", + "d=25#\n", + "Rm=5*d#\n", + "Pav=0.12#\n", + "u=0.22#\n", + "b=Tf/(pi*u*Pav*(Rm**2))#\n", + "b=40#\n", + "R1=Rm-(b*sin(15*pi/180)/2)#\n", + "R2=Rm+(b*sin(15*pi/180)/2)#\n", + "print \"\\nThe Torque is %0.2f Nm\"%(Tf)#\n", + "print \"\\nThe shaft diameter is %0.0f mm\"%(d)#\n", + "print \"\\nThe width is %0.0f mm\"%(b)#\n", + "print \"\\nThe Inner radius is %0.1f mm\"%(R1)#\n", + "print \"\\nThe Outer radius is %0.1f mm\"%(R2)#" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "The Torque is 95.49 Nm\n", + "\n", + "The shaft diameter is 25 mm\n", + "\n", + "The width is 40 mm\n", + "\n", + "The Inner radius is 119.8 mm\n", + "\n", + "The Outer radius is 130.2 mm\n" + ] + } + ], + "prompt_number": 20 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "exa 22-10 - Page 596" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "w2=2*pi*1400/60#\n", + "w1=0.8*w2#\n", + "P=40*10**3#\n", + "T=P/w2#\n", + "n=4#\n", + "T1=T/4#\n", + "R=0.16##Inner radius of drum\n", + "r=0.13##radial distance of each shoe from axis of rotation\n", + "u=0.22##coefficient of friction\n", + "x=u*r*R*((w2**2)-(w1**2))\n", + "m =T1/x#\n", + "l=R*pi/3#\n", + "N=T1/(R*u)#\n", + "p=1*10**5#\n", + "b=N/(p*l)*10**3#\n", + "print \"\\nThe full speed is %0.1f rad/sec\"%(w2)#\n", + "print \"\\nThe engagement speed is %0.2f rad/sec\"%(w1)#\n", + "print \"\\nThe number of shoes is %0.0f \"%(n)#\n", + "print \"\\nThe Torque is %0.1f Nm\"%(T)#\n", + "print \"\\nThe Torque per shoe is %0.1f Nm\"%(T1)#\n", + "print \"\\nThe mass per shoe is %0.2f kg\"%(m)#\n", + "print \"\\nThe length of friction lining is %0.5f m\"%(l)#\n", + "print \"\\nThe width is %0.1f mm\"%(b)#" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "The full speed is 146.6 rad/sec\n", + "\n", + "The engagement speed is 117.29 rad/sec\n", + "\n", + "The number of shoes is 4 \n", + "\n", + "The Torque is 272.8 Nm\n", + "\n", + "The Torque per shoe is 68.2 Nm\n", + "\n", + "The mass per shoe is 1.93 kg\n", + "\n", + "The length of friction lining is 0.16755 m\n", + "\n", + "The width is 115.7 mm\n" + ] + } + ], + "prompt_number": 21 + } + ], + "metadata": {} + } + ] +}
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