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GATE Mechanical Engineering (ME) 2020 Shift 2 Solved Paper

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Question : 52

Total: 65

A steel spur pinion has a module (m) of 1.25mm,20 teeth and 20∘ pressure angle. The pinion rotates at 1200 rpm and transmits power to a 60 teeth gear. The face width (F) is 50mm, Lewis form factor Y=0.322 and a dynamic factor Kv=1.26. The bending stress ( σ ) induced in a tooth can be calculated by using the Lewis formula given below. If the maximum bending stress experienced by the pinion is 400MPa, the power transmitted is ____________kW (round off to one decimal place).
Lewis formula: σ=‌

, where Wt is the tangential load acting on the pinion.

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