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-{
- "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
-}
generated by cgit (git 2.34.1) at 2024-12-20 06:55:59 +0000