Allied & ICAR Exam Bank • ALLIED_2810 MCQ • 1 Mark

Section 2: Farm Machinery

Machine Design

Subtopic: Measurement of force, stress, torque, speed, displacement and acceleration on machine elements – shafts, couplings, keys, bearings and knuckle joints

Question Statement:

For a circular shaft of diameter $d$ subjected to pure torsion $T$, the maximum shear stress at the outer surface according to the torsion formula is:

Options:

  • (A) $\frac{16 T}{\pi d^3}$
  • (B) $\frac{32 T}{\pi d^3}$
  • (C) $\frac{16 T}{\pi d^4}$
  • (D) $\frac{64 T}{\pi d^3}$

Answer Key:

A

Step-by-Step Solution & Explanation

Polar section modulus $Z_p = \frac{\pi d^3}{16}$. Maximum shear stress $\tau_{max} = \frac{T}{Z_p} = \frac{16 T}{\pi d^3}$.
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