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Diffstat (limited to 'The_Theory_of_Machines_by_T._Bevan/ch14.ipynb')
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diff --git a/The_Theory_of_Machines_by_T._Bevan/ch14.ipynb b/The_Theory_of_Machines_by_T._Bevan/ch14.ipynb new file mode 100644 index 00000000..7b422dce --- /dev/null +++ b/The_Theory_of_Machines_by_T._Bevan/ch14.ipynb @@ -0,0 +1,263 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 14: Balancing" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 1, Page 491" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Variable declaration\n", + "W=200#lb\n", + "r=9#in\n", + "b1=15#in\n", + "bm=b1\n", + "l=10#in\n", + "d=50#in\n", + "\n", + "#Calculations\n", + "#case a\n", + "ma=d+l\n", + "Bm1=W*r*l/(d*bm)#From 14.2\n", + "B11=W*r*ma/(d*b1)#from 14.3\n", + "#case b\n", + "mb=d-l\n", + "Bm2=W*r*l/(d*bm)#from 14.2\n", + "B12=W*r*mb/(d*b1)#from 14.3\n", + "\n", + "#Results\n", + "print \"a) Bm= %.f lb ; B1= %.f lb\\nb) Bm= %.f lb ; B1= %.f lb\"%(Bm1,B11,Bm2,B12)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "a) Bm= 24 lb ; B1= 144 lb\n", + "b) Bm= 24 lb ; B1= 96 lb\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2, Page 491" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Variable declaration\n", + "Wa=200#lb\n", + "Wb=300#lb\n", + "Wc=240#lb\n", + "W1=260#lb\n", + "ra=9#in\n", + "rb=7#in\n", + "rc=10#in\n", + "r1=12#in\n", + "R=24#in\n", + "\n", + "#Calculations\n", + "alpha=45*math.pi/180\n", + "bita=75*math.pi/180\n", + "gama=135*math.pi/180\n", + "Hb=Wa*ra+Wb*rb*math.cos(alpha)-Wc*rc*math.cos(gama-bita)-W1*r1*math.cos(bita)#horizontal component after resolving\n", + "Vb=Wb*rb*math.sin(alpha)+Wc*rc*math.sin(gama-bita)-W1*r1*math.sin(bita)#vertical component after resolving\n", + "Bb=(Hb**2+Vb**2)**(1./2)\n", + "B=Bb/R\n", + "theta=math.degrees(math.atan(Vb/Hb))\n", + "\n", + "#Results\n", + "print \"Balance weight required = %.1f lb\\ntheta = %.2f degrees\"%(B,theta)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Balance weight required = 57.9 lb\n", + "theta = 23.28 degrees\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5, Page 500" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Variable declaration\n", + "W=180.#lb\n", + "R=150.#lb\n", + "c=.5\n", + "N=300.#rpm\n", + "r=7.5/12#ft\n", + "g = 32.2\n", + "\n", + "#Calculations\n", + "Bb=(W+c*R)*r*12\n", + "b=6#in\n", + "B=Bb/b\n", + "w=(math.pi*N)/30\n", + "Uf=(1./2)*(R/g)*w**2*r\n", + "a=math.floor(Uf)\n", + "\n", + "#Results\n", + "print \"Balance weight required = %.1f lb\\n The resultant unbalanced force = %.f lb\\n\"%(B,a)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Balance weight required = 318.8 lb\n", + " The resultant unbalanced force = 1436 lb\n", + "\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 12, Page 517" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Variable declaration\n", + "N=1500 #rpm\n", + "R=4#lb\n", + "g=32.2#ft/s^2\n", + "w=math.pi*N/30\n", + "stroke=5.#in\n", + "r=stroke/2\n", + "l=9#in\n", + "b=3.5#in\n", + "\n", + "#Calculations\n", + "B=(3./2)*R*r/b#primary force\n", + "n=l/r\n", + "F=(3./2)*R*w**2*r/(g*12*n)#secondary force\n", + "\n", + "#Results\n", + "print \"Resultant primary force = %.2f lb\\nResultant secondary force = %.f lb\"%(B,F)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Resultant primary force = 4.29 lb\n", + "Resultant secondary force = 266 lb\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 13, Page 519" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#Variable declaration\n", + "g=32.2#ft/s^2\n", + "n=2000#rpm\n", + "R=6#lb\n", + "r=3.#in\n", + "L=11.#in\n", + "\n", + "#Calculations\n", + "w=math.pi*n/30\n", + "n=L/r\n", + "#minimum secondary force\n", + "F1=2*R*w**2*r/(g*n*12)\n", + "a=math.floor(F1)\n", + "#maximum secondary force\n", + "F2=6*R*w**2*r/(g*n*12)\n", + "b=math.floor(F2)\n", + "\n", + "#Results\n", + "print \"Minimum secondary force = %.f lb\\nMaximum secondary force = %.f lb\"%(a,b)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Minimum secondary force = 1114 lb\n", + "Maximum secondary force = 3343 lb\n" + ] + } + ], + "prompt_number": 14 + } + ], + "metadata": {} + } + ] +}
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