hollow circular shaft

[logistic_guy]

here is the question

The hollow circular shaft is subjected to an internal torque of \(\displaystyle T = 10\) kN\(\displaystyle \ \cdot \) m. Determine the shear stress developed at points \(\displaystyle A\) and \(\displaystyle B\). Represent each state of stress on a volume element.




my attemb
the solution depend on the polar moment of inertia
i don't know how to derive it for circular cross section

 

[khansaheb]

here is the question

The hollow circular shaft is subjected to an internal torque of \(\displaystyle T = 10\) kN\(\displaystyle \ \cdot \) m. Determine the shear stress developed at points \(\displaystyle A\) and \(\displaystyle B\). Represent each state of stress on a volume element.

View attachment 38959


my attemb
the solution depend on the polar moment of inertia
i don't know how to derive it for circular cross section

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