Is Shear Stress Area in a Hollow Shaft the Empty Space?

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Discussion Overview

The discussion centers around the interpretation of shear stress area in the context of a hollow shaft, specifically whether the area in question refers to the empty space within the shaft or another definition. The scope includes technical explanations and conceptual clarifications related to mechanics and material properties.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions whether the area A in the shear stress equation refers to the area of the empty space in the shaft, suggesting it might extend to the halfway point of the structure.
  • Another participant asserts that A is defined as the area enclosed by the midline, indicating it is an average of the areas to the outside and inside surfaces of the shaft.
  • A later reply confirms the visual representation of the problem but suggests that the stress units should be in pascals.

Areas of Agreement / Disagreement

Participants express differing interpretations regarding the definition of area A, indicating that multiple competing views remain unresolved.

Contextual Notes

There may be limitations related to the definitions of area and the assumptions made about the geometry of the shaft, which are not fully explored in the discussion.

member 392791

Hello,

I am wondering, is the area A in the equation meant to be the area of the empty space in the shaft, going all the way to the half way point of the structure (meaning, the area of the space included in the dotted lines in the diagram on my attempt?
 

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Yes, A is the area enclosed by the midline. As I said in your other problem, A is the average of the area to the outside surface and the area to the inside surface.
 
Okay, how does it look now?
 

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Looks good. Your stress units should probably be in pascals.
 

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