Allied & ICAR Exam Bank • ALLIED_2822 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:

An axial tensile force $P = 40\text{ kN}$ is transmitted by a knuckle joint. The knuckle pin has diameter $d = 20\text{ mm}$. The average double shear stress in the pin ($\tau = \frac{P}{2 \frac{\pi}{4} d^2}$) in MPa (rounded to 1 decimal place) is:

Answer Key:

63.7

Step-by-Step Solution & Explanation

$\tau = \frac{40000}{2 \times \frac{\pi}{4} \times 400} = \frac{40000}{200 \pi} = \frac{200}{\pi} \approx 63.66\text{ MPa}$.
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