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Diffstat (limited to 'Machine_Design_by_U.C._Jindal/Ch14_2.ipynb')
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diff --git a/Machine_Design_by_U.C._Jindal/Ch14_2.ipynb b/Machine_Design_by_U.C._Jindal/Ch14_2.ipynb new file mode 100644 index 00000000..955eef4c --- /dev/null +++ b/Machine_Design_by_U.C._Jindal/Ch14_2.ipynb @@ -0,0 +1,420 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Ch:14 Keys and couplings" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 14-1 - Page 401" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " FOS1 is 4.376 \n", + "\n", + " FOS2 is 4.85 \n" + ] + } + ], + "source": [ + "from math import sqrt, pi, atan, acos, cos\n", + "d=40#\n", + "r=d/2#\n", + "P=6*10**3#\n", + "N=350#\n", + "sigyt=380#\n", + "A=pi*12**2/2#\n", + "theta=pi-(2*atan(4/12))#\n", + "alpha=180-(theta*pi/180)#\n", + "l=2*12*cos(19.5*pi/180)#\n", + "A1=l*4/2#\n", + "Abcd=(A*141/180)-A1#\n", + "A2=A-Abcd#\n", + "A3=8*l#\n", + "w=2*pi*N/60#\n", + "T=P/w#\n", + "Pt=T*10**3/r#\n", + "sigb=Pt/A2#\n", + "#Let shear stress developed in key Tk\n", + "Tk=Pt/A3#\n", + "FOS1=sigyt/sigb#\n", + "FOS2=0.577*sigyt/Tk#\n", + "print \" FOS1 is %0.3f \"%(FOS1)#\n", + "print \"\\n FOS2 is %0.2f \"%(FOS2)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 14-2 - Page 401" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Ts is 3.39 N/mm**2 \n", + "\n", + " Th is 2.98 N/mm**2 \n" + ] + } + ], + "source": [ + "from math import sqrt, pi\n", + "n=12#\n", + "phi=360*pi/(180*12*2)#\n", + "R1=45/2#\n", + "R2=50/2#\n", + "l=60#\n", + "Rm=(R1+R2)/2#\n", + "p=6.5#\n", + "Pn=(R2-R1)*l*p#\n", + "T=Pn*Rm#\n", + "T=T*n#\n", + "N=400#\n", + "w=2*pi*N/60#\n", + "P=T*w#\n", + "A=(pi*R1*l)/n#\n", + "Ts=Pn/A#\n", + "Ah=(pi*R2*l)/n#\n", + "Th=Pn/Ah#\n", + "print \" Ts is %0.2f N/mm**2 \"%(Ts)#\n", + "print \"\\n Th is %0.2f N/mm**2 \"%(Th)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 14-3 - Page 402" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " l1 is 17 mm \n", + "\n", + " l2 is 19.85 mm \n" + ] + } + ], + "source": [ + "from math import sqrt, pi\n", + "N=360#\n", + "w=2*pi*N/60#\n", + "sigyt=380#\n", + "r=25#\n", + "P=40*10**3#\n", + "FOS=3#\n", + "T=P/w#\n", + "Pt=T*10**3/(2*r)#\n", + "siga=380/3#\n", + "Ta=0.577*380/3#\n", + "l1=Pt/(sqrt(2)*12*Ta)#\n", + "l2=Pt*sqrt(2)/(siga*12)#\n", + "print \" l1 is %0.0f mm \"%(l1)#\n", + "print \"\\n l2 is %0.2f mm \"%(l2)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 14-4 - Page 403" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " d is 40 mm \n", + "\n", + " Tsh is 3.13 MPa \n", + "\n", + " b is 7 mm \n", + "\n", + " t is 7 mm \n" + ] + } + ], + "source": [ + "from math import sqrt, pi\n", + "N=300#\n", + "w=2*pi*N/60#\n", + "P=12*10**3#\n", + "Ks=1.25#\n", + "Pd=P*Ks#\n", + "T=Pd/w#\n", + "Tas=50#\n", + "d=16*T*10**3/(pi*Tas)#\n", + "d=d**(1/3)#\n", + "d=40#\n", + "Ts=10#\n", + "d1=(2*d)+13#\n", + "x=(d1**4-d**4)/d1#\n", + "#Let the shear stress in the key be Tsh\n", + "Tsh=T*10**3*16/(pi*x)#\n", + "l=3.5*d#\n", + "Ft=T*2*10**3/d#\n", + "l1=70#\n", + "sigak=50#\n", + "b=Ft/(l1*sigak)#\n", + "t=2*Ft/(100*l1)#\n", + "print \" d is %0.0f mm \"%(d)#\n", + "print \"\\n Tsh is %0.2f MPa \"%(Tsh)#\n", + "print \"\\n b is %0.0f mm \"%(b)#\n", + "print \"\\n t is %0.0f mm \"%(t)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 14-5 - Page 403" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " d is 60 mm \n", + "\n", + " b is 13.6 mm \n", + "\n", + " t is 12 mm \n", + "\n", + " dr is 27.822 mm \n" + ] + } + ], + "source": [ + "from math import sqrt, pi\n", + "P=36*10**3#\n", + "N=200#\n", + "w=2*pi*N/60#\n", + "T=P/w#\n", + "Tas=45#\n", + "d=16*T*10**3/(pi*Tas)#\n", + "d=d**(1/3)#\n", + "d=60#\n", + "d1=(2*d)+13#\n", + "l=3.5*d#\n", + "Ftk=T*2/d#\n", + "lk=l/2#\n", + "Tak=40#\n", + "sigack=90#\n", + "b=Ftk*10**3/(lk*Tak)#\n", + "t=2*Ftk*10**3/(sigack*lk)#\n", + "n=4#\n", + "sigatb=60#\n", + "u=0.25#\n", + "dr=16*T*10**3/(u*pi**2*sigatb*n*d)#\n", + "dr=sqrt(dr)#\n", + "print \" d is %0.0f mm \"%(d)#\n", + "print \"\\n b is %0.1f mm \"%(b)#\n", + "print \"\\n t is %0.0f mm \"%(t)#\n", + "print \"\\n dr is %0.3f mm \"%(dr)#" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 14-6 - Page 404" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " d is 32 mm \n", + "\n", + " b is 7 mm \n", + "\n", + " t is 8 mm \n", + "\n", + " db is 5.96 mm \n", + "\n", + " db1 is 6.15 mm \n" + ] + } + ], + "source": [ + "from math import sqrt, pi\n", + "P=16*10**3#\n", + "N=1000#\n", + "w=2*pi*N/60#\n", + "T=P/w#\n", + "Ks=1.4#\n", + "Td=T*Ks#\n", + "Tas=40#\n", + "d=16*T*10**3/(pi*Tas)#\n", + "d=d**(1/3)#\n", + "d=32#\n", + "d1=2*d#\n", + "l=1.5*d#\n", + "ds=1.5*d#\n", + "Tak=40#\n", + "sigack=70#\n", + "Ftk=Td*2/d#\n", + "b=Ftk*10**3/(l*Tak)#\n", + "t=2*Ftk*10**3/(sigack*l)#\n", + "Taf=10#\n", + "tf=Td*10**3*2/(pi*Taf*d1**2)#\n", + "Ftb=Td*10**3/(1.5*d*4)#\n", + "Tab=40#\n", + "db=sqrt(Ftb*4/(Tab*pi))#\n", + "D=4*d#\n", + "trp=d/6#\n", + "Ftb1=Td*10**3/(45*4)#\n", + "db1=sqrt(Ftb1*4/(Tab*pi))#\n", + "print \" d is %0.0f mm \"%(d)#\n", + "print \"\\n b is %0.0f mm \"%(b)#\n", + "print \"\\n t is %0.0f mm \"%(t)#\n", + "print \"\\n db is %0.2f mm \"%(db)#\n", + "print \"\\n db1 is %0.2f mm \"%(db1)#\n", + " \n", + "#The answer to Key thickness 't' is calculated incorrectly in the book." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## exa 14-7 - Page 404" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " sigmax is 36.77 MPa \n", + "\n", + " b is 9 mm \n", + "\n", + " t is 6 mm \n", + "\n", + " Lf is 36 mm \n", + "\n", + " Do is 180 mm \n" + ] + } + ], + "source": [ + "from math import sqrt, pi\n", + "P=30*10**3#\n", + "N=1440#\n", + "w=2*pi*N/60#\n", + "T=P/w#\n", + "d=36#\n", + "d1=30#\n", + "d2=2*d#\n", + "d3=d1*2#\n", + "l=1.5*d#\n", + "Dp=3.5*d#\n", + "n=6#\n", + "Ft=(2*T)/(Dp*n)#\n", + "p=0.5#\n", + "A=Ft/p#\n", + "Lf=d#\n", + "dp=A/Lf#\n", + "M=Ft*10**3*(5+(Lf/2))#\n", + "db=(32*M/(pi*40))**(1/3)#\n", + "db=15#\n", + "T=(4*526)/(pi*db**2)#\n", + "sigb=32*M/(pi*db**3)#\n", + "sigmax=(sigb/2)+sqrt(((sigb/2)**2)+(T**2))#\n", + "b=d/4#\n", + "t=6#\n", + "Lf=36#\n", + "La=10#\n", + "Do=126+30+(2*(5+1))+(2*6)#\n", + "print \" sigmax is %0.2f MPa \"%(sigmax)#\n", + "print \"\\n b is %0.0f mm \"%(b)#\n", + "print \"\\n t is %0.0f mm \"%(t)#\n", + "print \"\\n Lf is %0.0f mm \"%(Lf)#\n", + "print \"\\n Do is %0.0f mm \"%(Do)#" + ] + } + ], + "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 +} |