Allied & ICAR Exam Bank • ALLIED_0115 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 circular transmission shaft of diameter $50\text{ mm}$ transmits a torque of $1.5\text{ kN}\cdot\text{m}$. The maximum torsional shear stress induced in the shaft in MPa is (rounded off to one decimal place):

Answer Key:

61.1

Step-by-Step Solution & Explanation

$\tau = \frac{16 T}{\pi d^3} = \frac{16 \times 1500}{\pi \times (0.05)^3} = \frac{24000}{0.0003927} = 61.12\text{ MPa}$.
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