(a) Derive the formula $\frac{T}{J}=\frac{N \theta}{L}=\frac{f_{s}}{R}$. Sketch the shear stress distribution in a rod subjected to torsion.

Explanation

The formula $\frac{T}{J}=\frac{N \theta}{L}=\frac{f_{s}}{R}$ is a fundamental relationship in torsion, and is widely used in the design of shafts and other rotating components.


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