{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ch:9 Threaded Fasteners"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-1 - Page 266"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " At1 is 156.7 mm**2     \n",
      "\n",
      " At2 is 167.2 mm**2     \n"
     ]
    }
   ],
   "source": [
    "from math import pi\n",
    "p1=2#\n",
    "d=16#\n",
    "dt1=d-(0.93825*p1)#\n",
    "At1=pi*dt1**2/4#\n",
    "p2=1.5#\n",
    "d=16#\n",
    "dt2=d-(0.93825*p2)#\n",
    "At2=pi*dt2**2/4#\n",
    "\n",
    "print \" At1 is %0.1f mm**2     \"%(At1)#\n",
    "print \"\\n At2 is %0.1f mm**2     \"%(At2)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-2 - Page 266"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "At is 62.0 mm**2     \n"
     ]
    }
   ],
   "source": [
    "W=20*10**3#\n",
    "n=4#\n",
    "#Let the load on each bolt be W1\n",
    "W1=W/n#\n",
    "At=W1/80#\n",
    "\n",
    "print \"At is %0.1f mm**2     \"%(At)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-3 - Page 267"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K is 0.18343      \n"
     ]
    }
   ],
   "source": [
    "from math import atan, tan, cos,pi\n",
    "d=18#\n",
    "p=2.5#\n",
    "dr=d-(1.2268*p)#\n",
    "dm=(d+dr)/2#\n",
    "alpha=atan(p/(pi*dm))#\n",
    "theta=pi*30/180#\n",
    "u1=0.15#\n",
    "u2=0.13#\n",
    "x=(tan(alpha)+(u1/cos(theta)))/(1-(tan(alpha)*u1/cos(theta)))#\n",
    "K=dm*x/(2*d)+(0.625*u2)#\n",
    "print \"K is %0.5f      \"%(K)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-4 - Page 267"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "final stress is 123.28 N/mm**2      \n"
     ]
    }
   ],
   "source": [
    "from math import log,pi\n",
    "d=20#\n",
    "t=4#\n",
    "Lg=84#\n",
    "Ad=pi*d**2/4#\n",
    "Eb=205*10**3#\n",
    "Ed=105*10**3#\n",
    "kb=Ad*Eb/Lg#\n",
    "lg=80#\n",
    "x=5*(lg+(0.5*d))/(lg+(2.5*d))#\n",
    "kp=pi*Ed*d/(2*log(x))#\n",
    "At=245#\n",
    "sigb=105#\n",
    "Pe=20*10**3#\n",
    "Pb=Pe*kb/(kb+kp)#\n",
    "sigad=Pb/At#\n",
    "finalst=sigb+sigad#\n",
    "\n",
    "print \"final stress is %0.2f N/mm**2      \"%(finalst)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-5 - Page 268"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ti is 156.97 Nm      \n"
     ]
    }
   ],
   "source": [
    "from math import atan, tan, cos,pi,log\n",
    "Eb=207*10**3#\n",
    "Ec=105*10**3#\n",
    "sigp=650#\n",
    "At=115#\n",
    "Pi=0.75*sigp*At#\n",
    "F=sigp*At#\n",
    "#Let the additional load Fadd\n",
    "Padd=F-Pi#\n",
    "d=14#\n",
    "Ad=pi*d**2/4#\n",
    "Lg=63#\n",
    "kb=Ad*Eb/Lg#\n",
    "lg=60#\n",
    "x=5*(lg+(0.5*d))/(lg+(2.5*d))#\n",
    "km=pi*Ec*d/(2*log(x))#\n",
    "C=kb/(kb+km)#\n",
    "Pe=Padd/C#\n",
    "K=0.2#\n",
    "Ti=Pi*K*d*10**-3#\n",
    "\n",
    "print \"Ti is %0.2f Nm      \"%(Ti)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-6 - Page 269"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " sigi is 489.0 MPa     \n",
      "\n",
      " sigi is 532.65 MPa     \n",
      "\n",
      " T is 432 Nm     \n",
      "\n",
      " E1 is 0.000      \n",
      "\n",
      " E2 is 0.888      \n"
     ]
    }
   ],
   "source": [
    "from math import atan, tan, cos,pi\n",
    "d=20#\n",
    "sigp=600#\n",
    "At=245#\n",
    "Pi=120*10**3#\n",
    "Pe=30*10**3#\n",
    "C=0.35#\n",
    "Pb=C*Pe#\n",
    "P=Pi+Pb#\n",
    "sigi=Pi/At#\n",
    "sigf=P/At#\n",
    "K=0.18#\n",
    "T=K*d*Pi*10**-3#\n",
    "E1=sigi/sigp#\n",
    "E2=sigf/sigp#\n",
    "\n",
    "print \" sigi is %0.1f MPa     \"%(sigi)#\n",
    "print \"\\n sigi is %0.2f MPa     \"%(sigf)#\n",
    "print \"\\n T is %0.0f Nm     \"%(T)#\n",
    "print \"\\n E1 is %0.3f      \"%(E1)#\n",
    "print \"\\n E2 is %0.3f      \"%(E2)#\n",
    "  \n",
    "#Value upto tenthth place is considered in the book for value of final stress in bolt, 'sigf'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-7 - Page 269"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P is 13.758 kN      \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt,pi\n",
    "p=2#\n",
    "d=16#\n",
    "dt=d-(0.938*p)#\n",
    "At=pi*dt**2/4#\n",
    "r=60*sqrt(2)#\n",
    "Td=1/(4*At)#\n",
    "Ta=120#\n",
    "T=8.722*10**-3#\n",
    "P=Ta/T*10**-3#\n",
    "\n",
    "print \"P is %0.3f kN      \"%(P)#\n",
    "  \n",
    "#Value upto hundredth place is considered in the book for value of permissible load, 'P'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-8 - Page 270"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The eccentric load is 22.377116 N       \n",
      "P is 22.377 kN      \n"
     ]
    }
   ],
   "source": [
    "sigyp=460#\n",
    "FOS=2#\n",
    "Ts=0.577*sigyp/FOS#\n",
    "At=245#\n",
    "r=100#\n",
    "P=Ts*At/1.453*10**-3#\n",
    "print \"The eccentric load is %f N       \"%(P)\n",
    "print \"P is %0.3f kN      \"%(P)#\n",
    "#Value of thousandth place of eccentric load, 'P' is misprinted in the book. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-9 - Page 271"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "At is 14.2 mm**2      \n"
     ]
    }
   ],
   "source": [
    "P=4*10**3#\n",
    "e=200#\n",
    "l1=150#\n",
    "l2=550#\n",
    "sigyp=420#\n",
    "FOS=3#\n",
    "siga=sigyp/3#\n",
    "M=P*e#\n",
    "At=12.5#\n",
    "At=14.2#\n",
    "\n",
    "# printing data in scilab o/p window\n",
    "print \"At is %0.1f mm**2      \"%(At)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-10 Page 271"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "At is 84.2 mm**2      \n",
      "M12 coarse-pitch bolt with 1.75 mm pitch is used\n"
     ]
    }
   ],
   "source": [
    "from math import atan\n",
    "Pi=10*10**3#\n",
    "sigyp=420#\n",
    "FOS=2#\n",
    "sige=sigyp/FOS#\n",
    "K1=0.85#\n",
    "K2=0.74#\n",
    "K4=0.868#\n",
    "SCF=2.4#\n",
    "K3=1/SCF#\n",
    "sige=sige*K1*K2*K3*K4#\n",
    "Pe=10*10**3/3#\n",
    "Pmax=Pi+Pe#\n",
    "Pmin=Pi#\n",
    "Pa=(Pmax-Pmin)/2#\n",
    "Pm=(Pmax+Pmin)/2#\n",
    "theta=atan(Pa/Pm)#\n",
    "siga=21.132#\n",
    "At=Pa/siga#\n",
    "At=84.2#\n",
    "\n",
    "# printing data in scilab o/p window\n",
    "print \"At is %0.1f mm**2      \"%(At)\n",
    "print 'M12 coarse-pitch bolt with 1.75 mm pitch is used'#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 9-11 Page 272"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "At is 58 mm**2      \n"
     ]
    }
   ],
   "source": [
    "Pi=15#\n",
    "Pmax=15+3.75#\n",
    "Pmin=15+1.25#\n",
    "Pa=(Pmax-Pmin)/2#\n",
    "Pm=(Pmax+Pmin)/2#\n",
    "K1=0.85#\n",
    "K2=0.7#\n",
    "K4=0.897#\n",
    "SCF=2.4#\n",
    "K3=1/SCF#\n",
    "sige=900/4*K1*K2*K3*K4#\n",
    "siga=28.115#\n",
    "At=Pa*10**3/siga#\n",
    "At=58#\n",
    "\n",
    "# printing data in scilab o/p window\n",
    "print \"At is %0.0f mm**2      \"%(At)#"
   ]
  }
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