{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ch:11 Riveted joints"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 11-1 - Page 322"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " P is 60000 N     \n",
      "\n",
      " Ts is 122.23 MPa     \n",
      "\n",
      " sigb is 120 MPa     \n"
     ]
    }
   ],
   "source": [
    "from math import pi\n",
    "t=20#\n",
    "p=100#\n",
    "d=25#\n",
    "sigt=40#\n",
    "P=(p-d)*t*sigt#\n",
    "Ts=(4*P)/(pi*d**2)#\n",
    "sigb=P/(d*t)#\n",
    "print \" P is %0.0f N     \"%(P)#\n",
    "print \"\\n Ts is %0.2f MPa     \"%(Ts)#\n",
    "print \"\\n sigb is %0.0f MPa     \"%(sigb)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 11-2 - Page 322"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " P is 115.5 kN     \n",
      "\n",
      " Ts is 81.7 MPa     \n",
      "\n",
      " sigb is 175 N/mm**2     \n"
     ]
    }
   ],
   "source": [
    "from math import pi\n",
    "t=22#\n",
    "t1=5*t/8#\n",
    "d=30#\n",
    "p=100#\n",
    "sigt=75#\n",
    "P=(p-d)*t*sigt#\n",
    "Ts=(2*P)/(pi*d**2)#\n",
    "sigb=P/(d*t)#\n",
    "P=P*10**-3\n",
    "print \" P is %0.1f kN     \"%(P)#\n",
    "print \"\\n Ts is %0.1f MPa     \"%(Ts)#\n",
    "print \"\\n sigb is %0.0f N/mm**2     \"%(sigb)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 11-3 - Page 323"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " p is 100 mm     \n",
      "\n",
      " n is 0.00      \n"
     ]
    }
   ],
   "source": [
    "from math import pi\n",
    "t=15#\n",
    "t1=5*t/8#\n",
    "d=25#\n",
    "n=2#\n",
    "Ta=80#\n",
    "sigta=100#\n",
    "sigba=120#\n",
    "Ps=n*1.875*pi*d**2*Ta/4#\n",
    "Pb=n*d*t*sigba#\n",
    "p=Pb/(t*Ta)+d#\n",
    "Pp=p*t*Ta#\n",
    "n=Pb/Pp#\n",
    "print \" p is %0.0f mm     \"%(p)#\n",
    "print \"\\n n is %0.2f      \"%(n)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 11-4 - Page 323"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " d is 24 mm     \n",
      "\n",
      " n1 is 6      \n",
      "\n",
      " Pt is 225280 N      \n",
      "\n",
      " Pt2 is 232960 N     \n",
      "\n",
      " Pt3 is 279040 N     \n",
      "\n",
      " n2 is 88      \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "b=200#\n",
    "t=16#\n",
    "d=6*sqrt(t)#\n",
    "sigta=80#\n",
    "Ta=60#\n",
    "sigba=100#\n",
    "Pt=(b-d)*t*sigta#\n",
    "Ps=1.875*pi*d**2*Ta/4#\n",
    "Pb=d*t*sigba#\n",
    "n1=Pt/Pb#\n",
    "n1=6#\n",
    "Pt2=((b-(2*d))*t*sigta)+Pb#\n",
    "Pt3=((b-(3*d))*t*sigta)+(3*Pb)#\n",
    "Pp=b*t*sigta#\n",
    "n2=Pt/Pp#\n",
    "n2=n2*100#\n",
    "print \" d is %0.0f mm     \"%(d)#\n",
    "print \"\\n n1 is %0.0f      \"%(n1)#\n",
    "print \"\\n Pt is %0.0f N      \"%(Pt)#\n",
    "print \"\\n Pt2 is %0.0f N     \"%(Pt2)#\n",
    "print \"\\n Pt3 is %0.0f N     \"%(Pt3)#\n",
    "print \"\\n n2 is %0.0f      \"%(n2)#\n",
    "#Answer to strength of rivet in bearing 'Pb' is calculated incorrectly in the book, hence Pt2,Pt3 is calculated subsequently incorrect."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 11-5 - Page 324"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " e is 371.7 mm     \n"
     ]
    }
   ],
   "source": [
    "from math import atan\n",
    "a=50#\n",
    "b=75#\n",
    "P=36*10**3#\n",
    "d=24#\n",
    "Ta=60#\n",
    "n=9#\n",
    "A=pi*d**2/4#\n",
    "Td=P/(n*A)#\n",
    "theta=atan(b/a)#\n",
    "Ts=54.64#\n",
    "r2=90.184#\n",
    "e=A*29575.7/P#\n",
    "print \" e is %0.1f mm     \"%(e)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 11-6 - Page 325"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " d is 12 mm     \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt,pi\n",
    "P=12*10**3#\n",
    "Tmax=100#\n",
    "n=6#\n",
    "e=50+50+(5/2)#\n",
    "T=P*e#\n",
    "Td=P/n#\n",
    "ra=125#\n",
    "k=T/((2*125**2)+(2*75**2)+(2*25**2))#\n",
    "Tr=(k*ra)+Td#\n",
    "A=Tr/Tmax#\n",
    "d=sqrt(A*4/pi)#\n",
    "d=12#\n",
    "print \" d is %0.0f mm     \"%(d)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 11-7 - Page 326"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " n is 80      \n"
     ]
    }
   ],
   "source": [
    "from __future__ import division\n",
    "from math import sqrt,pi\n",
    "t=15#\n",
    "d=6*sqrt(t)#\n",
    "d=24#\n",
    "sigta=75#\n",
    "sigba=105#\n",
    "Ta=60#\n",
    "n=4#\n",
    "Pt=n*pi*d**2*Ta/4#\n",
    "x=d*t*sigta#\n",
    "y=2*t*sigta#\n",
    "p=(Pt+x)/y#\n",
    "p=60#\n",
    "C=4.17#\n",
    "pmax=(C*t)+41.28#\n",
    "Pt1=(y*p)-x#\n",
    "Ps=n*pi*d**2*Ta/4#\n",
    "Pb=n*d*t*sigba#\n",
    "S=2*p*t*sigta#\n",
    "n=Pt1/S#\n",
    "n=n*100#\n",
    "print \" n is %0.f      \"%(n)#  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 11-8 - Page 327"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " n is 95      \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt,pi\n",
    "D=1500#\n",
    "p=2#\n",
    "nt=0.75#\n",
    "sigut=420#\n",
    "FOS=5#\n",
    "sigta=sigut/FOS#\n",
    "t=p*D/(2*sigta*nt)#\n",
    "t=24#\n",
    "d=6*sqrt(t)#\n",
    "d=30#\n",
    "Ta=330/5#\n",
    "sigba=640/5#\n",
    "Ps=2*1.875*pi*(d**2)*Ta/4#\n",
    "p=(Ps/(t*sigta))+d#\n",
    "p=117#\n",
    "t1=5*t/8#\n",
    "Pt=(p-d)*t*sigta#\n",
    "Pp=p*t*sigta#\n",
    "Pb=2*d*t*sigba#\n",
    "n=Ps/Pb#\n",
    "n=n*100#\n",
    "print \" n is %0.0f      \"%(n)#"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## exa 11-9 - Page 327"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " n is 39      \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt,pi\n",
    "D=1200#\n",
    "p=2.5#\n",
    "sigba=110#\n",
    "Pa=pi*D**2*p/4#\n",
    "nt=0.8#\n",
    "sigta=80#\n",
    "t=p*D/(2*sigta*nt)#\n",
    "t=24#\n",
    "d=6*sqrt(t)#\n",
    "d=30#\n",
    "Ta=55#\n",
    "Ps=pi*(d**2)*Ta/4#\n",
    "Np=Pa/Ps#\n",
    "Np=74#\n",
    "nr=Np/2#\n",
    "p=pi*(D+t)/nr#\n",
    "pb=2*d#\n",
    "m=1.5*d#\n",
    "Pt=(p-d)*t*sigta#\n",
    "Ps=2*Ps#\n",
    "Pb=2*d*t*sigba#\n",
    "Pp=p*t*sigta#\n",
    "n=Ps/Pp#\n",
    "n=n*100#\n",
    "print \" n is %0.0f      \"%(n)#"
   ]
  }
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