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-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Ch:16 Power screws"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 16-1 - Page 450"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Ttr is 110.148 Nm \n"
- ]
- }
- ],
- "source": [
- "from math import atan, pi, sqrt, tan\n",
- "d=30#\n",
- "W=20*10**3#\n",
- "r1=8#\n",
- "r2=16#\n",
- "p=6#\n",
- "u1=0.2#\n",
- "u2=0.15#\n",
- "dm=d-(p/2)#\n",
- "alpha=atan(p/(pi*dm))#\n",
- "phi=atan(u1)#\n",
- "rm=(r1+r2)/2#\n",
- "Ttr=W*((dm*tan(alpha+phi)/2)+(u2*rm))#\n",
- "Ttr=Ttr*10**-3#\n",
- "print \"Ttr is %0.3f Nm \"%(Ttr)#\n",
- "#The answer to Ttr is slightly different than in the book due to rounding-off of values."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 16-2 - Page 451"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- " Tr is 187.49 Nm \n",
- "\n",
- " Te is 51.691 Nm \n",
- "\n",
- " n is 0.3489 \n",
- "\n",
- " Ph is 624.96 N \n"
- ]
- }
- ],
- "source": [
- "from math import cos,pi,atan,tan\n",
- "d=50#\n",
- "W=20*10**3#\n",
- "r1=10#\n",
- "r2=30#\n",
- "p=7#\n",
- "u1=0.12/cos(15*pi/180)#\n",
- "u2=0.15#\n",
- "dm=d-(p/2)#\n",
- "alpha=atan(3*p/(pi*dm))#\n",
- "phi=atan(u1)#\n",
- "rm=(r1+r2)/2#\n",
- "Tr=W*((dm*tan(alpha+phi)/2)+(u2*rm))#\n",
- "Tr=Tr*10**-3#\n",
- "Te=W*((dm*tan(phi-alpha)/2)+(u2*rm))#\n",
- "Te=Te*10**-3#\n",
- "n=dm/2*tan(alpha)/(dm*tan(alpha+phi)/2+(u2*rm))#\n",
- "L=0.30#\n",
- "Ph=Tr/L#\n",
- "print \" Tr is %0.2f Nm \"%(Tr)#\n",
- "print \"\\n Te is %0.3f Nm \"%(Te)#\n",
- "print \"\\n n is %0.4f \"%(n)#\n",
- "print \"\\n Ph is %0.2f N \"%(Ph)#\n",
- "#The answers to Tr, Te and Ph is slightly different than in the book due to rounding-off of values."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 16-3 - Page 452"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- " Tr1 is 31.456 Nm \n",
- "\n",
- " n1 is 0.1265 \n",
- "\n",
- " T1 is 23.307 Nm \n",
- "\n",
- " n2 is 0.1707 \n",
- "\n",
- " Tr2 is 17.156 Nm \n",
- "\n",
- " n3 is 0.2319 \n",
- "\n",
- " Te is 9.007 Nm \n",
- "\n",
- " n4 is 0.4418 \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan,tan\n",
- "d=30#\n",
- "W=5*10**3#\n",
- "p=5#\n",
- "rm=45/2#\n",
- "u1=0.15/cos(14.5*pi/180)#\n",
- "u2=0.15#\n",
- "dm=d-(p/2)#\n",
- "alpha=atan(p/(pi*dm))#\n",
- "phi=atan(u1)#\n",
- "Tr1=W*((dm*tan(alpha+phi)/2)+(u2*rm))#\n",
- "Tr1=Tr1*10**-3#\n",
- "n1=dm/2*tan(alpha)/(dm*tan(alpha+phi)/2+(u2*rm))#\n",
- "T1=W*((dm*tan(phi-alpha)/2)+(u2*rm))#\n",
- "T1=T1*10**-3#\n",
- "n2=dm/2*tan(alpha)/(dm*tan(phi-alpha)/2+(u2*rm))#\n",
- "u2=0.02#\n",
- "Tr2=W*((dm*tan(alpha+phi)/2)+(u2*rm))#\n",
- "Tr2=Tr2*10**-3#\n",
- "n3=dm/2*tan(alpha)/(dm*tan(alpha+phi)/2+(u2*rm))#\n",
- "Te=W*((dm*tan(phi-alpha)/2)+(u2*rm))#\n",
- "Te=Te*10**-3#\n",
- "n4=dm/2*tan(alpha)/(dm*tan(phi-alpha)/2+(u2*rm))#\n",
- "print \" Tr1 is %0.3f Nm \"%(Tr1)#\n",
- "print \"\\n n1 is %0.4f \"%(n1)#\n",
- "print \"\\n T1 is %0.3f Nm \"%(T1)#\n",
- "print \"\\n n2 is %0.4f \"%(n2)#\n",
- "print \"\\n Tr2 is %0.3f Nm \"%(Tr2)#\n",
- "print \"\\n n3 is %0.4f \"%(n3)#\n",
- "print \"\\n Te is %0.3f Nm \"%(Te)#\n",
- "print \"\\n n4 is %0.4f \"%(n4)#\n",
- " \n",
- " #The answer to T1 is misprinted in the book."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 16-4 - Page 453"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "F is 7.299 kN \n"
- ]
- }
- ],
- "source": [
- "from math import tan,atan,pi\n",
- "d=28#\n",
- "P=300#\n",
- "L=180#\n",
- "p=8#\n",
- "r1=16#\n",
- "r2=46#\n",
- "rm=(r1+r2)/2#\n",
- "u1=0.12#\n",
- "u2=0.15#\n",
- "dm=d-(p/2)#\n",
- "alpha=atan(p/(pi*dm))#\n",
- "phi=atan(u1)#\n",
- "T=P*L#\n",
- "F=T/((dm*tan(alpha+phi)/2)+(u2*rm))#\n",
- "F=F*10**-3#\n",
- "print \"F is %0.3f kN \"%(F)#"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 16-5 - Page 453"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "P is 23.6 kN \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi, atan,tan\n",
- "d=25#\n",
- "p=8#\n",
- "F=392.4#\n",
- "L=250#\n",
- "l=p*2#\n",
- "u=0.14#\n",
- "dm=d-(p/2)#\n",
- "alpha=atan(l/(pi*dm))#\n",
- "phi=atan(u)#\n",
- "T=dm*tan(alpha+phi)/2#\n",
- "M=F*L#\n",
- "P=M/T*10**-3#\n",
- "print \"P is %0.1f kN \"%(P)#"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 16-6 - Page 454"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "P is 0.07 KW \n",
- "\n",
- "n is 0.1659 \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi,atan,tan\n",
- "d=52#\n",
- "W=2.2*10**3#\n",
- "p=8#\n",
- "r1=15#\n",
- "r2=30#\n",
- "rm=(r1+r2)/2#\n",
- "u1=0.15/cos(14.5*pi/180)#\n",
- "dm=d-(p/2)#\n",
- "alpha=atan(p/(pi*dm))#\n",
- "phi=atan(u1)#\n",
- "Ts=W*dm*tan(alpha+phi)/2#\n",
- "u2=0.12#\n",
- "Tc=u2*W*rm#\n",
- "T=10**-3*(Ts+Tc)#\n",
- "N=40#\n",
- "w=2*pi*N/60#\n",
- "P=T*w*10**-3#\n",
- "To=W*dm/2*tan(alpha)#\n",
- "n=To/(T*10**3)#\n",
- "print \"P is %0.2f KW \"%(P)#\n",
- "print \"\\nn is %0.4f \"%(n)#"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 16-7 - Page 455"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 9,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "d is 24 mm \n",
- "\n",
- "p is 5 mm \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi,atan,tan\n",
- "alpha=atan(2*0.2/(pi*0.9))#\n",
- "u1=0.15#\n",
- "phi=atan(u1)#\n",
- "P=200#\n",
- "L=250#\n",
- "Tt=P*L#\n",
- "W=10*10**3#\n",
- "u2=0.15#\n",
- "x=Tt/W#\n",
- "d=x/0.1716#\n",
- "d=30#\n",
- "p=6#\n",
- "dr=0.8*d#\n",
- "d=24#\n",
- "p=5#\n",
- "dr=d-p#\n",
- "dm=d-(p/2)#\n",
- "print \"d is %0.0f mm \"%(d)#\n",
- "print \"\\np is %0.0f mm \"%(p)#"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## exa 16-8 - Page 456"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 10,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- " T is 145.242 Nm \n",
- "\n",
- " n is 0.4751 \n",
- "\n",
- " a is 0.04894 mm \n"
- ]
- }
- ],
- "source": [
- "from math import sqrt, pi,atan,tan\n",
- "FOS=3#\n",
- "sigut=380#\n",
- "Ta=0.577*sigut/FOS#\n",
- "d=25#\n",
- "Tus=460#\n",
- "Ps=pi*d*Tus#\n",
- "siga=127#\n",
- "dr=sqrt(Ps*4/(pi*siga))#\n",
- "d=30#\n",
- "p=6#\n",
- "dr=d-p#\n",
- "dm=d-(p/2)#\n",
- "u1=0.15#\n",
- "alpha=atan(p*2/(pi*dm))#\n",
- "phi=atan(u1)#\n",
- "T=Ps*dm*tan(alpha+phi)/2#\n",
- "T1=16*T/(pi*dr**3)#\n",
- "sigc=4*Ps/(pi*dr**2)#\n",
- "sigmax=sigc/2+sqrt((sigc/2**2)+(T1**2))#\n",
- "Tmax=sqrt((sigc/2**2)+(T1**2))#\n",
- "n=tan(alpha)/tan(alpha+phi)#\n",
- "Uo=Ps/2#\n",
- "Ui=Uo/n#\n",
- "wav=pi/2#\n",
- "wmax=2*wav#\n",
- "I=Ui*2/wmax**2#\n",
- "k=0.4#\n",
- "Ir=0.9*I*10**-3#\n",
- "m=Ir/k**2#\n",
- "R=0.4#\n",
- "rho=7200#\n",
- "a=sqrt(m/(2*pi*R*rho))#\n",
- "T=T*10**-3#\n",
- "print \" T is %0.3f Nm \"%(T)#\n",
- "print \"\\n n is %0.4f \"%(n)#\n",
- "print \"\\n a is %0.5f mm \"%(a)#\n",
- " \n",
- "#The difference in the answers of T is due to rounding-off of values."
- ]
- }
- ],
- "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 2024-12-19 19:17:48 +0000