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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": 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)#"
+ ]
+ }
+ ],
+ "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
+}
generated by cgit (git 2.34.1) at 2024-12-20 06:41:56 +0000