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

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Discussion Overview

The discussion revolves around calculating the maximum speed of a hollow shaft given specific shear stress limits, focusing on the parameters of internal diameter and wall thickness. It is framed as a homework problem involving mechanical engineering principles.

Discussion Character

  • Homework-related

Main Points Raised

  • The original poster (OP) presents a problem involving a hollow shaft with an internal diameter of 72 mm and a wall thickness of 24 mm, seeking to determine the maximum rotational speed without exceeding a shear stress of 150 MPa.
  • Some participants question the OP's difficulty in calculating the external diameter (OD) of the shaft, suggesting that the terms 'internal diameter' and 'wall thickness' should clarify this calculation.
  • There is a request for an equation to find the OD, indicating a need for further clarification on the relationship between the internal diameter and wall thickness.
  • Another participant challenges the OP's approach, asking how the problem was worked without first calculating the OD.

Areas of Agreement / Disagreement

Participants generally agree that calculating the external diameter is a necessary step, but there is no consensus on the OP's method or understanding of the problem.

Contextual Notes

Limitations include potential misunderstandings of the definitions of internal diameter and wall thickness, as well as the need for clarity on the calculation steps involved in determining the external diameter.

josh16
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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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