{
"metadata": {
"name": "",
"signature": "sha256:9b7bd78ba4da34e6b0bfbd99a229a10f40ca2ca34b3d46eeee9c738f3ac0df6a"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Ch:15 Shafts"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 15-2 - Page 421"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"from math import pi, sqrt, tan\n",
"dA=150#\n",
"dB=250#\n",
"alpha=20*pi/180#\n",
"W=400#\n",
"sigyt=400#\n",
"sigut=500#\n",
"Kb=1.5#\n",
"Kt=2#\n",
"T=W*dA/2#\n",
"Pt=T/(dB/2)#\n",
"Pr1=W*tan(alpha)#\n",
"Pr2=Pt*tan(alpha)#\n",
"RDH=((W*120)-(Pt*320))/440#\n",
"RcH=W-RDH-Pt#\n",
"#RcH=400+65.5-240#\n",
"McH=0#\n",
"MAH=RcH*120#\n",
"MBH=RDH*120#\n",
"RDV=((Pr1*120)-(Pr2*320))/440#\n",
"RcV=Pr1-RDV-Pr2#\n",
"MAV=RcV*120#\n",
"MBV=RDV*120#\n",
"Mmax=sqrt((MAH**2)+(MAV**2))#\n",
"T=30*10**3#\n",
"Ta=0.135*sigut#\n",
"d=16*sqrt((Kb*Mmax)**2+(Kt*T)**2)/(pi*Ta)#\n",
"d=d**(1/3)#\n",
"print \"d is %0.2f mm \"%(d)#\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"d is 17.73 mm \n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 15-3 - Page 421"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"P=16*746#\n",
"N=3000#\n",
"w=2*pi*N/60#\n",
"T=P/w*10**3#\n",
"sigy=400#\n",
"Ty=sigy/2#\n",
"FOS=2#\n",
"Ta=Ty/FOS#\n",
"d=T*16/(pi*Ta)#\n",
"d1=d**(1/3)#\n",
"r=3#\n",
"D=d1+(2*r)#\n",
"SCF=1.196\n",
"Tys=Ta/SCF#\n",
"d=T*16/(pi*Tys)#\n",
"d2=d**(1/3)#\n",
"d=14#\n",
"D=d+(2*r)#\n",
"print \"d1 is %0.2f mm \"%(d1)#\n",
"print \"\\nd2 is %0.2f mm \"%(d2)#\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"d1 is 12.46 mm \n",
"\n",
"d2 is 13.23 mm \n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 15-4 - Page 422"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"P1=24*10**3#\n",
"P2=10*10**3#\n",
"sigyt=460#\n",
"Tya=sigyt*0.3#\n",
"SCF=2.84#\n",
"Ta=Tya/SCF#\n",
"N=400#\n",
"w=2*pi*N/60#\n",
"T1=P1/w#\n",
"T2=P2/w#\n",
"d1=T1*16*10**3/(pi*Ta)#\n",
"d1=d1**(1/3)#\n",
"d2=T2*16*10**3/(pi*Ta)#\n",
"d2=d2**(1/3)#\n",
"theta1=pi/3600#\n",
"l1=120#\n",
"G=84*10**3#\n",
"d3=T1*10**3*l1*32/(pi*G*theta1)#\n",
"d3=d3**(1/4)#\n",
"d4=T2*l1*10**3*32/(pi*G*theta1)#\n",
"d4=d4**(1/4)#\n",
"print \" d1 is %0.2f mm \"%(d1)#\n",
"print \"\\n d2 is %0.2f mm \"%(d2)#\n",
"print \"\\n d3 is %0.1f mm \"%(d3)#\n",
"print \"\\n d4 is %0.2f mm \"%(d4)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" d1 is 39.16 mm \n",
"\n",
" d2 is 29.25 mm \n",
"\n",
" d3 is 55.6 mm \n",
"\n",
" d4 is 44.67 mm \n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 15-5 - Page 423"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from math import sin, exp\n",
"d=200#\n",
"r=d/2#\n",
"N=300#\n",
"P=5000#\n",
"D=500#\n",
"R=D/2#\n",
"u=0.3#\n",
"E=205*10**3#\n",
"G=84*10**3#\n",
"Ta=60#\n",
"Kb=1.5#\n",
"Kt=2#\n",
"w=2*pi*N/60#\n",
"beta1=20*pi/180#\n",
"V=r*w#\n",
"v=R*w#\n",
"# Let T1-T2 =T\n",
"T=P/V#\n",
"x=u*pi/sin(beta1)#\n",
"T2=T/((exp(x)-1))#\n",
"T1=T2*exp(x)#\n",
"t=P/v#\n",
"y=u*pi#\n",
"T3=t/((exp(x)-1))#\n",
"T4=T3*exp(x)#\n",
"T=P/w#\n",
"Rc=2612##\n",
"RA=645.1#\n",
"MB=96.76#\n",
"MC=-208.96#\n",
"d=16*10**3*sqrt((Kb*MC)**2+(Kt*T)**2)/(pi*Ta)#\n",
"d=d**(1/3)#\n",
"l=380#\n",
"J=pi*d**4/32#\n",
"theta=T*10**3*l/(G*J)#\n",
"theta=theta*180/pi#\n",
"print \"d is %0.1f mm \"%(d)#\n",
"print \"\\ntheta is %0.2f degree \"%(theta)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"d is 33.6 mm \n",
"\n",
"theta is 0.33 degree \n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 15-6 - Page 423"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"T=400#\n",
"Pt=4800#\n",
"Pg=3600#\n",
"sigyt=360#\n",
"E=205*10**3#\n",
"G=80*10**3#\n",
"Kb=2#\n",
"Kt=1.5#\n",
"FOS=3#\n",
"RC=((Pt*90)+(Pg*200))/140#\n",
"RA=8400-RC#\n",
"MB=RA*0.9#\n",
"MC=Pg*0.045#\n",
"Te=sqrt((Kb*MC)**2+(Kt*T)**2)#\n",
"Ta=0.577*sigyt/FOS#\n",
"d=16*10**3*Te/(pi*Ta)#\n",
"d=d**(1/3)#\n",
"L=110#\n",
"J=pi*d**4/32#\n",
"T=400#\n",
"theta=T*10**3*L/(G*J)#\n",
"theta=theta*180/pi#\n",
"print \"d is %0.0f mm \"%(d)#\n",
"print \"\\ntheta is %0.4f deg \"%(theta)#"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"d is 37 mm \n",
"\n",
"theta is 0.1735 deg \n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"exa 15-7 - Page 424"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"T=47*10**3#\n",
"M=32*10**3#\n",
"d=20#\n",
"siga=32*M/(pi*d**3)#\n",
"Tm=16*T/(pi*d**3)#\n",
"sige=75#\n",
"Tys=165#\n",
"n=1/sqrt((siga/sige)**2+(Tm/Tys)**2)#\n",
"print \"n is %0.2f \"%(n)#\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"n is 1.75 \n"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}