Question

If two shafts of same length, one of which is hollow, transmit equal torque and have equal maximum shear stress, then they should have equal

• A. polar moment of inertia
• B. polar modulus of section
• C. diameter
• D. angle of twist

Hint:

Remember that the polar moment of inertia is crucial for analyzing torsional loading scenarios; it helps predict how materials will react under torsion.

Answer 1

The Correct Option is A

For two shafts to transmit equal torque and sustain equal maximum shear stress, they need to have equal polar moments of inertia. The polar moment of inertia influences the torsional stress experienced by a shaft, according to the relationship \(\tau = \frac{T \cdot r}{J}\), where \(\tau\) is the shear stress, \(T\) is the torque, and \(J\) is the polar moment of inertia.