What Is the Maximum Speed of a Hollow Shaft Given Specific Shear Stress Limits?

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The discussion centers on calculating the maximum speed of a hollow shaft with an internal diameter of 72 mm and a wall thickness of 24 mm, designed to transmit 90 kW of power while maintaining shear stress below 150 MPa. The original poster (OP) calculated a speed of 22.66 rad/s but encountered difficulty determining the external diameter of the shaft. Participants emphasize the importance of understanding the terms 'internal diameter' and 'wall thickness' to find the external diameter accurately. Clarification on the relevant equations for calculating the external diameter is provided, highlighting the need for proper foundational knowledge in the problem-solving process. Accurate calculations are essential for ensuring the shaft operates within specified shear stress limits.
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Homework Statement



A hollow shaft has an internal diameter of 72 mm and wall thickness of 24mm is to be used to transmit a power of 90 kW.

what would be the maximum speed of shaft rotation if the shear stress must not exceed 150 MPa ??

Homework Equations



http://www.amesweb.info/Torsion/CalculationStepsForTorsionalStress.aspx

The Attempt at a Solution



I got 22.66 rad/s. I am getting stuck at finding the external diameter
 
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The OP states the ID of the shaft is 72 mm and the wall thickness is 24 mm. It's not clear why you are stuck calculating the OD of the shaft.
 
is there an equation to find the OD
 
Yes there is. Do you know what the terms 'internal diameter' and 'wall thickness' mean? How did you work the problem in the OP without doing this calculation first?
 

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