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Diffstat (limited to 'Hydraulics_Made_Easy/ch2.ipynb')
| -rwxr-xr-x | Hydraulics_Made_Easy/ch2.ipynb | 368 |
1 files changed, 368 insertions, 0 deletions
diff --git a/Hydraulics_Made_Easy/ch2.ipynb b/Hydraulics_Made_Easy/ch2.ipynb new file mode 100755 index 00000000..31d84882 --- /dev/null +++ b/Hydraulics_Made_Easy/ch2.ipynb @@ -0,0 +1,368 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:1efa4f61c6638a7002643398d2d4bfe4efa140d30a6184e17976681fd0180ed8" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 2 : Floatation and Buoyancy" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.1 Page No : 43" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "l = 60. \t\t#ft\n", + "w = 10. \t\t#ft\n", + "h = 5. \t\t#ft\n", + "t = 3./16 \t\t#in\n", + "sp = 7.75\n", + "H = 4. \t \t#ft\n", + "w1 = 62.4 \t\t#lb/ft**3\n", + "y = 4. \t\t #ft\n", + "\t\t\n", + "#CALCULATIONS\n", + "V = (l*w+2*w*h+2*l*h)*t/12\n", + "W = V*w1*sp\n", + "x = W/(w1*l*w)\n", + "W1 = H*l*w*w1\n", + "dW = (W1-W)/2238\n", + "\t\t\n", + "#RESULTS\n", + "print 'weight of water print laced = %.1f tons'%(dW)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "weight of water print laced = 62.5 tons\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.3 Page No : 50" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "D = 64. \t\t#lb/ft**3\n", + "d = 6. \t\t#ft\n", + "l = 10. \t\t#ft\n", + "W = 2. \t \t#tons\n", + "\t\t\n", + "#CALCULATIONS\n", + "V = W*2240/D\n", + "h = V/(math.pi*d**2/4)\n", + "BM = d**2/(16*h)\n", + "P = -(math.sqrt(64*BM*2*10*math.pi*(22400-math.pi*d**4))-W*22400)/10\n", + "\t\t\n", + "#RESULTS\n", + "print 'Minimum pull required = %.f lbs '%(P+3) \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Minimum pull required = 3665 lbs \n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.4 Page No : 52" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "sg = 7.\n", + "sg1 = 5.\n", + "d = 8. \t\t#in\n", + "t = 1. \t\t#in\n", + "\t\t\n", + "#CALCULATIONS\n", + "x = (sg+sg1)+math.sqrt(d*(sg*(sg1+t)+1))\n", + "\t\t\n", + "#RESULTS\n", + "print 'maximum length of cylinder = %.2f in '%(x) \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "maximum length of cylinder = 30.55 in \n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.7 Page No : 56" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "W = 2000. \t\t#tons\n", + "m = 15. \t\t#/tons\n", + "dx = 24. \t\t#ft\n", + "l = 3. \t \t#in\n", + "dx1 = 5. \t\t#ft\n", + "\t\t\n", + "#CALCULATIONS\n", + "GM = m*dx/(W*(l/(dx1*12)))\n", + "\t\t\n", + "#RESULTSS\n", + "print 'metacentric height = %.1f ft '%(GM) \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "metacentric height = 3.6 ft \n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.8 Page No : 56" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\t\t\n", + "#initialisation of variables\n", + "M = 350. \t\t#tons\n", + "l = 50. \t\t#ft\n", + "w = 20. \t\t#ft\n", + "W = 100. \t\t#tons\n", + "h = 6. \t\t#ft\n", + "M1 = 250. \t\t#tons\n", + "\t\t\n", + "#CALCULATIONS\n", + "V = M*2240/64\n", + "d = V/(l*w)\n", + "BM = l*w**3/(12*w*l*d)\n", + "y = (((BM+(d/2))*(M/10))-(M1*h/10))/(W/10)\n", + "\t\t\n", + "#RESULTS\n", + "print 'Highest position of centre of gravity = %.2f ft '%(y)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Highest position of centre of gravity = 15.96 ft \n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.9 Page No : 58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "W = 2000. \t\t#tons\n", + "l = 250. \t\t#ft\n", + "w = 30. \t\t#ft\n", + "a = 1./15\n", + "W1 = 50. \t\t#tons\n", + "h = 10. \t\t#ft\n", + "\t\t\n", + "#CALCULATIONS\n", + "BG = (l*w**3*64/(W*2240*12))-(W1*h/(a*W))\n", + "\t\t\n", + "#RESULTS\n", + "print 'distance of the centre of gravity = %.2f ft '%(BG) \n", + "\n", + "# note : rounding off error" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "distance of the centre of gravity = 4.29 ft \n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.10 Page No : 58" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "l = 91. \t\t#ft\n", + "w = 30. \t\t#ft\n", + "h = 6. \t \t#ft\n", + "W = 40. \t\t#tons\n", + "a = 3. \t\t #degrees\n", + "cg = 3. \t\t#ft\n", + "d = 4. \t\t#ft\n", + "W1 = 60. \t\t#tons\n", + "cg1 = 1. \t\t#ft\n", + "\t\t\n", + "#CALCULATIONS\n", + "W2 = (l*w*d*64/2240)-W1\n", + "y = (W2*(h/2)+W1*(cg+d))/(l*w*d*64/2240)\n", + "BG = y-(d/2)\n", + "BM = l*w**3/(12*l*w*d)\n", + "GM = BM-BG\n", + "dx = GM*l*w*d*64*math.tan(math.radians(a))/(60*2240)\n", + "\t\t\n", + "#RESULTS\n", + "print 'maximum distance through which the load can be shifted = %.1f ft '%(dx)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "maximum distance through which the load can be shifted = 4.6 ft \n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 2.11 Page No : 60" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math \n", + "\t\t\n", + "#initialisation of variables\n", + "W = 5000. \t\t#tons\n", + "I = 1.4*10**6 \t\t#ft**4\n", + "k = 12.2 \t\t#ft\n", + "BG = 6.5 \t\t#ft\n", + "\t\t\n", + "#CALCULATIONS\n", + "BM = I*64/(W*2240)\n", + "GM = BM-BG\n", + "T = 2*math.pi*math.sqrt(k**2/(GM*32.2))\n", + "\t\t\n", + "#RESULTS\n", + "print 'period of oscialltion = %.2f sec '%(T) \n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "period of oscialltion = 11.03 sec \n" + ] + } + ], + "prompt_number": 8 + } + ], + "metadata": {} + } + ] +}
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