Discussion
Which of the following would NOT reduce the maximum shear stress in a solid circular shaft under a fixed torque?
Answer: B
Correct answer: Increasing the shear modulus of the material
Shear stress under a given torque depends on the geometry alone, through \( \tau = Tr/J \); the modulus governs how much the shaft twists, not how highly it is stressed. The other three all reduce the stress: a smaller torque directly, a larger diameter through the fourth power in \( J \), and a thicker-walled hollow section by adding material where the stress is highest.
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