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Diffstat (limited to 'Machine_Design_by_U.C._Jindal/Ch7_2.ipynb')
| -rw-r--r-- | Machine_Design_by_U.C._Jindal/Ch7_2.ipynb | 310 |
1 files changed, 310 insertions, 0 deletions
diff --git a/Machine_Design_by_U.C._Jindal/Ch7_2.ipynb b/Machine_Design_by_U.C._Jindal/Ch7_2.ipynb new file mode 100644 index 00000000..02b194b6 --- /dev/null +++ b/Machine_Design_by_U.C._Jindal/Ch7_2.ipynb @@ -0,0 +1,310 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Ch:7 Struts and Columns" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 7-1 - Page 192" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "D is 130.0 mm \n", + "\n", + "d is 91.0 mm \n" + ] + } + ], + "source": [ + "from math import pi\n", + "sigc=550#\n", + "FOS=4#\n", + "sigw=sigc/FOS#\n", + "l=4000#\n", + "le=l/2#\n", + "A=pi*(1-0.7**2)/4#\n", + "K=(1+0.7**2)/16#\n", + "Pr=800*10**3#\n", + "a=1/1600#\n", + "D=130# #Rounding off to nearest whole number\n", + "d=D*0.7#\n", + "print \"D is %0.1f mm \"%(D)#\n", + "print \"\\nd is %0.1f mm \"%(d)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 7-2 - Page 192" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "d is 37.44 mm \n", + "\n", + "b is 13.24 mm \n" + ] + } + ], + "source": [ + "from math import sqrt,pi\n", + "l=500#\n", + "E=70*10**3#\n", + "P=20*10**3#\n", + "FOS=2#\n", + "d=P*2*12*4*l**2/((pi)**2*E)#\n", + "d=(sqrt(8)*d)**0.25#\n", + "b=d/sqrt(8)#\n", + "print \"d is %0.2f mm \"%(d)#\n", + "print \"\\nb is %0.2f mm \"%(b)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 7-3 - Page193" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "FOS is 2.91 \n" + ] + } + ], + "source": [ + "from math import sqrt,pi\n", + "Ixx=(2*1696.6)+115.4#\n", + "Iyy=1696.6+(2*115.4)+(2*25.27*10.27**2)#\n", + "A=3*25.27#\n", + "Kmin=sqrt(Ixx/75.81)#\n", + "L=600#\n", + "k=L/Kmin#\n", + "sigc=110#\n", + "c=1/200#\n", + "sigw=sigc*(1-(c*k))#\n", + "Pw=sigw*A#\n", + "a=1/7500#\n", + "sigc1=320#\n", + "Pr=(sigc1*A)/(1+(a*(L/Kmin)**2))#\n", + "FOS=Pr/Pw#\n", + "print \"FOS is %0.2f \"%(FOS)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 7-4 - Page 194" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P is 149.3 kN \n" + ] + } + ], + "source": [ + "from math import sqrt,pi\n", + "Iyy=193.4+(2*1.2*1.5**3/12)#\n", + "E=200*10**3#\n", + "l=500#\n", + "Pe=(pi**2)*E*Iyy*10**5/(l**2)#\n", + "A=35.53+(2*1.2*15)#\n", + "sige=Pe/7530#\n", + "k=sqrt(Iyy/A)#\n", + "xc=75#\n", + "sig=80#\n", + "sigo=20.875#\n", + "A=A*100#\n", + "P=sigo*A#\n", + "P=P*10**-3#\n", + "print \"P is %0.1f kN \"%(P)#\n", + " \n", + "#The difference in the value of P is due to rounding-off the digits." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 7-5 - Page 195" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "P is 38.2800 KN \n" + ] + } + ], + "source": [ + "from math import sqrt,pi\n", + "sigc=330#\n", + "a=1/7500#\n", + "t=4#\n", + "A=14.5*t**2#\n", + "l=300#\n", + "Kx=sqrt(1.4626*t**2)#\n", + "Pr=sigc*A/(1+(a*(l/Kx)**2))#\n", + "FOS=2#\n", + "P=Pr/FOS*10**-3#\n", + "print \"P is %0.4f KN \"%(P)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 7-6 - Page 195" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "D is 8.0 mm \n", + "\n", + "d is 6.4 mm \n" + ] + } + ], + "source": [ + "from math import sqrt,pi\n", + "P=1500#\n", + "FOS=2#\n", + "Pd=FOS*P#\n", + "l=280#\n", + "E=207*10**3#\n", + "I=Pd*l**2/(pi**2*E)#\n", + "D=(64*I/(pi*(1-0.8**4)))**(1/4)#\n", + "D=8#\n", + "d=6.4#\n", + "print \"D is %0.1f mm \"%(D)#\n", + "print \"\\nd is %0.1f mm \"%(d)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 7-7 - Page 196" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "d is 45.0 mm \n" + ] + } + ], + "source": [ + "from math import sqrt,pi\n", + "D=500#\n", + "p=0.3#\n", + "E=208*10**3#\n", + "sigc=320#\n", + "a=1/7500#\n", + "l=2000#\n", + "le=l/2#\n", + "W=pi*D**2*p/4#\n", + "FOS=4#\n", + "Wd=W*FOS#\n", + "I=Wd*l**2/(pi**2*E)#\n", + "d=(64*I/pi)**(1/4)#\n", + "A=pi*d**2/4#\n", + "k=d/4#\n", + "d=45# #Rounding off to nearest whole number\n", + "print \"d is %0.1f mm \"%(d)#" + ] + } + ], + "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 +} |