Subtopic: Overload safety devices used in farm machinery
Question Statement:
A mild steel flange-mounted single shear pin (Ultimate shear strength = 42 MPa) of 10 mm diameter is used in a flange. The perpendicular distance between the axis of driving shaft and the shear pin axis is 100 mm. If the speed of the driving shaft is 300 rpm, the maximum power the shaft could transmit in kW before the failure of the pin is ___________. [round off to two decimal places] [Take π = 3.14]
Official Answer Key:
10.20 to 10.50
Step-by-Step Solution & Explanation
• Shear area = (π/4)(10)² = 78.5 mm²; max shear force = 42×78.5×10⁻³ kN... using SI: 42×10⁶×78.5×10⁻⁶ = 3297 N
• Max torque = 3297×0.1 = 329.7 N·m; ω=2π(300)/60 = 31.4 rad/s
• Max power = 329.7×31.4 = 10,352.6 W = 10.35 kW
Computed value: 10.35 kW (within official range 10.20–10.50)
Section 3 — Farm Power
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