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-{
- "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": 8,
-   "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. "
-   ]
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 2",
-   "language": "python",
-   "name": "python2"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 2
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython2",
-   "version": "2.7.9"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}