Question Bank • QB_FM_136 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 transmission shaft of diameter $45\text{ mm}$ transmits a torque of $600\text{ N}\cdot\text{m}$. Calculate the maximum torsional shear stress induced in the shaft in $\text{MPa}$ (round off to 1 decimal place).

Answer Key:

33.5

Step-by-Step Solution & Explanation

From the torsion equation $\tau = \frac{16 T}{\pi d^3}$: $\tau = \frac{16 \times 600 \times 10^3}{\pi \times (45)^3} = \frac{9.6 \times 10^6}{\pi \times 91125} = \frac{9600000}{286277.6} \approx 33.53\text{ MPa}$ Acceptable range: $32.5 - 34.5\text{ MPa}$.
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