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+{
+ "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)#"
+ ]
+ }
+ ],
+ "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
+}
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