{
 "metadata": {
  "name": "",
  "signature": "sha256:f143b35f244a2a7e967ebf0b33077a6d51a6aba9e6ffcf138aad816a0cdd4f33"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter11-Hydrostatics"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex1-pg141"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "##Solutions to Problems In applied mechanics\n",
      "##A N Gobby\n",
      "import math\n",
      "##initialisation of variables\n",
      "w=62.5##lbf\n",
      "a=4.*6.##ft\n",
      "x=4.##ft\n",
      "l=(6.*6**3)/3.-(6.*2**3)/3.##ft^3\n",
      "q=24.*x##ft^3\n",
      "##CALCULATIONS\n",
      "T=w*a*x##lbf\n",
      "P=l/q##ft\n",
      "##RESULTS\n",
      "print'%s %.2f %s'%('the depth of centre of pressure= ',P,' ft')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "the depth of centre of pressure=  4.33  ft\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex2-pg142"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "##Solutions to Problems In applied mechanics\n",
      "##A N Gobby\n",
      "import math\n",
      "##initialisation of variables\n",
      "a=60.##degre\n",
      "w=2.5##ft\n",
      "x=3.##ft\n",
      "p=6.*3.##ft^2\n",
      "h=62.4##ft\n",
      "p1=(3.*6**3)/12.##ft^4\n",
      "##CALCULATIONS\n",
      "D=w+x*(math.sin(a))##ft\n",
      "T=h*p*D##lbf\n",
      "P=(p1*math.sin(a)**2)/p*D+D+3##ft\n",
      "##RESULTS\n",
      "print'%s %.2f %s'%('the depth of centre of pressure= ',P,' ft')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "the depth of centre of pressure=  5.03  ft\n"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex3-pg143"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "##Solutions to Problems In applied mechanics\n",
      "##A N Gobby\n",
      "import math\n",
      "##initialisation of variables\n",
      "t=62.5*4.*1.##lbf\n",
      "a=2./3.*2.##ft\n",
      "m=62.5*4*(4/3)##lbf\n",
      "f=500.*2.##lbf ft\n",
      "T=((62.5*2.*2.)/2.)*1./3.*2.##lbf\n",
      "H=(62.5*2.*1.)##ft\n",
      "##CALCULATIONS\n",
      "H1=f/(H+T)*2./2.9##/ft\n",
      "##RESULTS\n",
      "print'%s %.2f %s'%('the trap door width= ',H1,' ft')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "the trap door width=  3.31  ft\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex4-pg146"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "##Solutions to Problems In applied mechanics\n",
      "##A N Gobby\n",
      "import math\n",
      "##initialisation of variables\n",
      "g=6.##ft\n",
      "g1=50.##ft\n",
      "d=10.##ft\n",
      "w1=10.##ft\n",
      "w2=20.##ft\n",
      "w3=62.5##ft\n",
      "t=w3*60.*5.##lbf\n",
      "t2=8.37##tonf\n",
      "t1=g1+t##lbf\n",
      "H=26.4##ft\n",
      "##CALCULATIONS\n",
      "M=t*d/3##lbf ft\n",
      "D=w3*w2*g*d##lbf\n",
      "M1=D*(w2/3.)##lbf ft\n",
      "f=D-t##lbf\n",
      "R=(M1-M)/f##ft\n",
      "##RESULTS\n",
      "print'%s %.2f %s'%('the moment of resultant force about gate base= ',R,' ft')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "the moment of resultant force about gate base=  7.78  ft\n"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex6-pg148"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "##Solutions to Problems In applied mechanics\n",
      "##A N Gobby\n",
      "import math\n",
      "##initialisation of variables\n",
      "w=62.5##lbf/ft\n",
      "w1=1.5##ft\n",
      "d=4.##ft\n",
      "w2=3.##ft\n",
      "g=0.8##in\n",
      "p1=2./3.*w1##ft\n",
      "q=2./3.*p1##ft\n",
      "##CALCULATIONS\n",
      "t1=w1*w*w1/2.##lbf\n",
      "p=(g*w*p1*p1)/2.##lbf\n",
      "A=g*w*p1*1./2.##lbf\n",
      "T=(w*0.5*0.5/2.)##lbf\n",
      "P=t1-p-A-T##lbf\n",
      "h=2.9*P/(t1*1.-p*2.)/3.-p*(1.*0.25)-(T*1.33)##ft\n",
      "F=P*A/w+3##lbf\n",
      "\n",
      "H=F/2.##lbf\n",
      "##RESULTS\n",
      "print'%s %.2f %s'%('depth of forces= ',F,' lbf')\n",
      "print'%s %.2f %s'%('the moment of force on hinge= ',H,' lbf')\n",
      "\n",
      "#ans is slightly different due to round off error"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "depth of forces=  8.00  lbf\n",
        "the moment of force on hinge=  4.00  lbf\n"
       ]
      }
     ],
     "prompt_number": 16
    }
   ],
   "metadata": {}
  }
 ]
}