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High Speed Shaft Growth

High Speed Shaft Growth

High Speed Shaft Growth

(OP)
Can anyone provide me with a plug-n-play equation for determining the increase in diameter for a solid shaft spinning at an extreme high speed due to hoop stress, 9or centrifugal force)?  Thanks.

RE: High Speed Shaft Growth

I think everything you need is in Roark - Formulas for Stress & Strain, under "Dynamic & Temperature Stresses".

RE: High Speed Shaft Growth

(OP)
Thanks Mr. Muffin - but I don't have a copy handy.  Looks like an excellent shelf item, though.  Any hints until my copy arrives via Amazon?

RE: High Speed Shaft Growth

I was hoping to avoid this, but if I haven't made any typographical errors :

For a solid shaft :

Change in outer radius - in

delR = den/4*omega^2/386.4*R^3/E*(1-nu)

where den   = density           lb/in^3
      omega = angular velocity  rad/sec
      R     = outer radius      in
      E     = Youngs modulus    lb/in^2
      nu    = Poisson's ratio

RE: High Speed Shaft Growth

(OP)
Thanks for the extra effort.

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