Subtopic: Overload safety devices used in farm machinery
Question Statement:
A flange mounted shear pin is used on a shaft as a safety device. The steel shear pin has a diameter of 2.38 mm and is to be mounted on the flange of a shaft rotating at 650 rpm. The maximum power transmitted by the shaft is 4.5 kW. If the shear strength of the material of pin is 310 MPa, the radial distance of its mounting is
Options:
(A) 5.02 mm
(B) 11.98 mm
(C) 47.94 mm
(D) 301.20 mm
Official Answer Key:
C
Step-by-Step Solution & Explanation
Torque at shaft, T = P/ω = 4500/(2π×650/60) = 4500/68.07 = 66.11 Nm. Max shear force pin can carry = τ×A = 310×10⁶ × (π/4)(0.00238)² = 1379.1 N. Radial distance from shaft axis, r = T/F = 66.11/1379.1 = 0.04794 m = 47.94 mm.
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