Allied & ICAR Exam Bank • ALLIED_2811 NAT • 2 Marks

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:

A solid steel shaft of diameter $d = 50\text{ mm}$ transmits a torque $T = 1000\text{ N}\cdot\text{m}$. The maximum torsional shear stress in MPa (rounded to 1 decimal place) is:

Answer Key:

40.7

Step-by-Step Solution & Explanation

$\tau = \frac{16 \times 1000 \times 10^3\text{ N}\cdot\text{mm}}{\pi \times 50^3} = \frac{16 \times 10^6}{\pi \times 125000} = \frac{128}{\pi} \approx 40.74\text{ MPa}$.
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