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diff --git a/Theory_Of_Machines/ch5.ipynb b/Theory_Of_Machines/ch5.ipynb new file mode 100755 index 00000000..2ebeaf21 --- /dev/null +++ b/Theory_Of_Machines/ch5.ipynb @@ -0,0 +1,218 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:a49d3045051d18d945c16a76ba66d562e97f6c140e0b1e26e143c1e463c579f5" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 5 : Simple Mechanisms" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.1 Page No : 110" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "AC = 300.\n", + "CB1 = 120. \t\t\t#mm\n", + "\n", + "#Solution:\n", + "#Refer Fig. 5.28\n", + "#Calculating the sine of inclination of the slotted bar with the vertical\n", + "sineCAB1 = CB1/AC\n", + "#Calculating the inclination of the slotted bar with the vertical\n", + "angleCAB1 = math.sin(sineCAB1)*180/math.pi \t\t\t#degrees\n", + "#Calculating the angle alpha\n", + "alpha = 2*(90-angleCAB1) \t\t\t#degrees\n", + "#Calculating the ratio of time of cutting stroke to time of return stroke\n", + "r = (360-alpha)/alpha \t\t\t#Ratio of time of cutting stroke to time of return stroke\n", + "\n", + "#Results:\n", + "print \" The ratio of the time of cutting stroke to the time of return stroke is %.1f\"%(r)\n", + "\n", + "# rounding off error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " The ratio of the time of cutting stroke to the time of return stroke is 1.7\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.2 Page No : 110" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "AC = 240.\n", + "CB1 = 120.\n", + "AP1 = 450. \t\t\t#mm\n", + "\n", + "#Solution:\n", + "#Refer Fig. 5.29\n", + "#Calculating the math.sine of inclination of the slotted bar with the vertical\n", + "sineCAB1 = CB1/AC\n", + "#Calculating the inclination of the slotted bar with the vertical\n", + "angleCAB1 = math.sin(sineCAB1)*180/math.pi \t\t\t#degrees\n", + "#Calculating the angle alpha\n", + "alpha = 2*(90-angleCAB1) \t\t\t#degrees\n", + "#Calculating the time ratio of cutting stroke to the return stroke\n", + "r = (360-alpha)/alpha \t\t\t#Time ratio of cutting stroke to the return stroke\n", + "#Calculating the length of the stroke\n", + "R1R2 = 2*AP1*round(math.sin(math.pi/2-alpha/2*math.pi/180),1) \t\t\t#mm\n", + "\n", + "#Results:\n", + "print \" The time ratio of cutting stroke to the return stroke is %.f.\"%(r)\n", + "print \" The length of the stroke R1R2 = P1P2 = %d mm.\"%(R1R2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " The time ratio of cutting stroke to the return stroke is 2.\n", + " The length of the stroke R1R2 = P1P2 = 450 mm.\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.3 Page No : 112" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "#Refer Fig. 5.30 and Fig. 5.31\n", + "BC = 30.\n", + "R1R2 = 120. \t\t\t#mm\n", + "r = 1.7 \t\t\t#Time ratio of working stroke to the return stroke\n", + "\n", + "#Solution:\n", + "#Calculating the angle alpha\n", + "alpha = 360/(1.7+1) \t\t\t#degrees\n", + "#Calculating the length of the link AC\n", + "B1C = BC\n", + "AC = B1C/math.cos(math.radians(alpha/2)) \t\t\t#mm\n", + "#Calculating the length of the link AP\n", + "AP1 = R1R2/(2*math.cos(math.radians(alpha/2))) \t\t\t#mm\n", + "AP = AP1\n", + "\n", + "#Results:\n", + "print \" The length of AC = %.1f mm.\"%(AC)\n", + "print \" The length of AP = %.2f mm.\"%(AP)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " The length of AC = 75.7 mm.\n", + " The length of AP = 151.48 mm.\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.4 Page No : 112" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "CD = 50. #mm\n", + "CA = 75. #mm\n", + "PA = 150. #mm\n", + "PR = 135. #mm\n", + "\n", + "#Solution:\n", + "#Refer Fig. 5.32 and Fig. 5.33\n", + "#Calculating the cosine of angle beta\n", + "CA2 = CA\n", + "cosbeta = CD/CA2\n", + "#Calculating the angle beta\n", + "beta = 2*math.degrees(math.acos(cosbeta)) \t\t\t#degrees\n", + "#Calculating the ratio of time of cutting stroke to time of return stroke\n", + "r = (360-beta)/beta \t\t\t#Ratio of time of cutting stroke to time of return stroke\n", + "#Calculating the length of effective stroke\n", + "R1R2 = 87.5 \t\t\t#mm\n", + "\n", + "#Results:\n", + "print \" The ratio of time of cutting stroke to time of return stroke is %.3f.\"%(r)\n", + "print \" The length of effective stroke R1R2 = %.1f mm.\"%(R1R2)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " The ratio of time of cutting stroke to time of return stroke is 2.735.\n", + " The length of effective stroke R1R2 = 87.5 mm.\n" + ] + } + ], + "prompt_number": 5 + } + ], + "metadata": {} + } + ] +}
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