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Spline Shaft Capacity
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Source：Internet Author：Unknow Pubdate：2008-04-15
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jdkuhndog (Mechanical)
13 Oct 03 15:42
Greetings.
I have an application where a crane will be recovered in emergency situations with a 'recovery' wheel. The best design for this will utilize a splined shaft through the wheel (actually two drive wheels on either side of the crane span).
Anyhow, I was curious if I was calculating this correctly. The spline shaft and 'recovery' wheel will experience conservatively 4000#*in of Torsion.
I am planning to use 4140 Material (Su=140ksi, Sy=90ksi).
The root diameter of the spline will be: droot = 1.113". The Outside diameter of the spline will be: 1.260".
There will be 20 splines total.
There will be 4" of engagement between the spline and the wheel.
J=(pi*droot^4)/32 = 0.151 in^4
c = droot/2 = 0.557"
Tshr=T*c/J = (4000#*in)*(0.557")/(0.151 in^4)
Tshr=14.8ksi
Allowable Shear = 140ksi/5 = 28ksi < 14.8ksi =>OK 字串3
Since I currently have no details on the spline profile, I conveniently ignored any stresses incurred at the root by the force applied to the tip of the spline - I assumed this would be minimal since the force is distributed over 4" length and over 20 teeth. Is this a horrible assumption?
Thanks for any input.
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