diff options
Diffstat (limited to 'Theory_Of_Machines/ch6.ipynb')
| -rwxr-xr-x | Theory_Of_Machines/ch6.ipynb | 347 |
1 files changed, 347 insertions, 0 deletions
diff --git a/Theory_Of_Machines/ch6.ipynb b/Theory_Of_Machines/ch6.ipynb new file mode 100755 index 00000000..dfc6f728 --- /dev/null +++ b/Theory_Of_Machines/ch6.ipynb @@ -0,0 +1,347 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:1b2bc75a9da3f88ed85d2991e9ff321b52f8f56e21ca05cba6bbfb84f1e84dc2" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 6 : Velocity in Mechanisms(Instantaneous Centre Method)" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.1 Page No : 126" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "NAB = 100. \t\t\t#rpm\n", + "AB = 300./1000\n", + "BC = 360./1000\n", + "CD = BC \t\t\t#m\n", + "\n", + "#Solution:\n", + "#Refer Fig. 6.9\n", + "#Calculating the angular speed of link AB\n", + "omegaAB = 2*math.pi*NAB/60 \t\t\t#rad/s\n", + "#Calculating the velocity of point B on link AB\n", + "vB = omegaAB*AB \t\t\t#m/s\n", + "#Calculating the angular velocity of link BC\n", + "#By measurement from instantaneous centre diagram Fig. 6.10\n", + "\n", + "I13B = 500./1000 \t\t\t#m\n", + "omegaBC = vB/I13B \t\t\t#rad/s\n", + "\n", + "#Results:\n", + "print \" The angular velocity of the link BC omegaBC = %.3f rad/s.\"%(omegaBC)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " The angular velocity of the link BC omegaBC = 6.283 rad/s.\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.2 Page No : 128" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "omegaOB = 10. \t\t\t#rad/s\n", + "OB = 100/1000. \t\t\t#m\n", + "\n", + "#Solution:\n", + "#Refer Fig. 6.12\n", + "#Calculating the velocity of the crank OB\n", + "vOB = omegaOB*OB \t\t\t#m/s\n", + "vB = vOB\n", + "#By measurement from the instantaneous cemtre diagram Fig. 6.13\n", + "\n", + "I13A = 460./1000\n", + "I13B = 560./1000 \t\t\t#m\n", + "#Calculating the velocity of slider A\n", + "vA = vB/I13B*I13A\n", + "#Calculating the angular velocity of the connecting rod AB\n", + "omegaAB = vB/I13B \t\t\t#rad/s\n", + "\n", + "#Results:\n", + "print \"The velocity of slider A vA = %.2f m/s.\"%(vA)\n", + "print \"The angular velocity of connecting rod AB omegaAB = %.2f rad/s.\"%(omegaAB)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The velocity of slider A vA = 0.82 m/s.\n", + "The angular velocity of connecting rod AB omegaAB = 1.79 rad/s.\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.3 Page No : 130" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "NOA = 120. \t\t\t#rpm\n", + "OA = 200./1000 \t\t\t#m/s\n", + "\n", + "#Results:\n", + "#Refer Fig. 6.15\n", + "#Calculating the angular velocity of the crank OA\n", + "omegaOA = 2*math.pi*NOA/60 \t\t\t#rad/s\n", + "#Calculating the velocity of crank OA\n", + "vOA = omegaOA*OA \t\t\t#m/s\n", + "vA = vOA\n", + "#By measurement from the instantaneous cemtre diagram Fig. 6.16\n", + "\n", + "I13A = 840./1000\n", + "I13B = 1070./1000\n", + "I14B = 400./1000\n", + "I14C = 200./1000\n", + "I15C = 740./1000\n", + "I15D = 500./1000 \t\t\t#m\n", + "\n", + "#Calculating the velocity of point B\n", + "vB = vA/I13A*I13B \t\t\t#m/s\n", + "#Calculating the velocity of point C\n", + "vC = vB/I14B*I14C \t\t\t#m/s\n", + "#Calculating the velocity of point B\n", + "vD = vC/I15C*I15D \t\t\t#m/s\n", + "#Calculating the angular velocity of the link AB\n", + "omegaAB = vA/I13A \t\t\t#rad/s\n", + "#Calculating the angular velocity of the link BC\n", + "omegaBC = vB/I14B \t\t\t#rad/s\n", + "#Calculating the angular velocity of the link CD\n", + "omegaCD = vC/I15C \t\t\t#rad/s\n", + "\n", + "#Results:\n", + "print \" The velocity of point B vB = %.1f m/s.\"%(vB)\n", + "print \" The velocity of point C vC = %.1f m/s.\"%(vC)\n", + "print \" The velocity of point D vD = %.2f m/s.\"%(vD)\n", + "print \" The angular velocity of the link AB omegaAB = %.2f rad/s.\"%(omegaAB)\n", + "print \" The angular velocity of the link BC omegaBC = %d rad/s.\"%(omegaBC)\n", + "print \" The angular velocity of the link CD omegaCD = %.2f rad/s.\"%(omegaCD)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " The velocity of point B vB = 3.2 m/s.\n", + " The velocity of point C vC = 1.6 m/s.\n", + " The velocity of point D vD = 1.08 m/s.\n", + " The angular velocity of the link AB omegaAB = 2.99 rad/s.\n", + " The angular velocity of the link BC omegaBC = 8 rad/s.\n", + " The angular velocity of the link CD omegaCD = 2.16 rad/s.\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.4 Page No : 133" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "omegaO1A = 100. \t\t\t#rad/s\n", + "O1A = 100/1000. \t\t\t#m\n", + "\n", + "#Solution:\n", + "#Refer Fig. 6.18\n", + "#Calculating the linear velocity of crank O1A\n", + "vO1A = omegaO1A*O1A \t\t\t#m/s\n", + "vA = vO1A\n", + "#By measurement from the instantaneous cemtre diagram Fig. 6.19\n", + "I13A = 910./1000\n", + "I13B = 820./1000\n", + "I15B = 130./1000\n", + "I15D = 50./1000\n", + "I16D = 200./1000\n", + "I16E = 400./1000 \t\t\t#m\n", + "#Calculating the velocity of point B\n", + "vB = vA/I13A*I13B \t\t\t#m/s\n", + "#Calculating the velocity of point D\n", + "vD = vB/I15B*I15D \t\t\t#m/s\n", + "#Calculating the velocity of point E\n", + "vE = vD/I16D*I16E \t\t\t#m/s\n", + "\n", + "#Results:\n", + "print \" The velocity of point B vB = %.2f m/s.\"%(vB)\n", + "print \" The velocity of point D vD = %.2f m/s.\"%(vD)\n", + "print \" The velocity of point E vE = %.2f m/s.\"%(vE)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " The velocity of point B vB = 9.01 m/s.\n", + " The velocity of point D vD = 3.47 m/s.\n", + " The velocity of point E vE = 6.93 m/s.\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.5 Page No : 135" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "NO1A = 400. \t\t\t#rpm\n", + "O1A = 16./1000 \t\t\t#m\n", + "\n", + "#Solution:\n", + "#Refer Fig. 6.21\n", + "#Calculating the angular velocity of the crank O1A\n", + "omegaO1A = 2*math.pi*NO1A/60 \t\t\t#rad/s\n", + "#Calculating the linear velocity of the crank O1A\n", + "vO1A = omegaO1A*O1A \t\t\t#m/s\n", + "vA = vO1A\n", + "#By measurement from the instantaneous cemtre diagram Fig. 6.22\n", + "I13A = 41./1000\n", + "I13B = 50./1000\n", + "I14B = 23./1000\n", + "I14C = 28./1000\n", + "I15C = 65./1000\n", + "I15D = 62./1000 \t\t\t#m\n", + "#Calculating the velocity of point B\n", + "vB = vA/I13A*I13B \t\t\t#m/s\n", + "#Calculating the velocity of point C\n", + "vC = vB/I14B*I14C \t\t\t#m/s\n", + "#Calculating the velocity of of the needle at D\n", + "vD = vC/I15C*I15D \t\t\t#m/s\n", + "\n", + "#Results:\n", + "print \"The velocity of the needle at D vD = %.2f m/s.\"%(vD)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The velocity of the needle at D vD = 0.95 m/s.\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 6.6 Page No : 137" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\n", + "# Variables:\n", + "NOA = 120. \t\t\t#rpm\n", + "#Solution:\n", + "#Refer Fig. 6.24\n", + "#Calculating the angular speed of crank OA\n", + "omegaOA = 2*math.pi*NOA/60 \t\t\t#rad/s\n", + "#By measurement from the instantaneous cemtre diagram Fig. 6.25\n", + "I12I26 = 65./1000 \t\t\t#m\n", + "#Calculating the velocity of the ram\n", + "vD = omegaOA*I12I26 \t\t\t#m/s\n", + "\n", + "#Results:\n", + "print \" The velocity of ram, vD = %.3f m/s.\"%(vD)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " The velocity of ram, vD = 0.817 m/s.\n" + ] + } + ], + "prompt_number": 1 + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file |