Subtopic: Overload safety devices used in farm machinery
Question Statement:
A single plate dry type clutch is to be designed for a tractor engine to transmit its maximum torque with the following data. The torque developed by the engine at governor's maximum = 125 N m; the engine torque reserve capacity = 20 percent; coefficient of friction = 0.3; maximum facing pressure = 0.1 MPa. Considering uniform pressure, if the outer diameter of the plate is 1.5 times the inner diameter, the outer diameter of the plate will be
Options:
(A) 165.38 mm
(B) 224.46 mm
(C) 238.50 mm
(D) 300.52 mm
Official Answer Key:
C
Step-by-Step Solution & Explanation
Design torque, Td = 1.2×125 = 150 N·m. Single plate clutch has 2 friction faces; uniform-pressure torque per face T = (2/3)μp(r₁³−r₂³), total T = 2×(2/3)μp(r₁³−r₂³). With r₂ = r₁/1.5, solving 150 = (4/3)(0.3)(0.1×10⁶)(r₁³−(r₁/1.5)³) for r₁ gives r₁ ≈ 0.1193 m → outer diameter = 2r₁ ≈ 238.5 mm.
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