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GATE ME 2020 Set 2 — Question 51

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NAT+2 / -0MediumSpur Gear DesignMachine ElementsMachine Design

Machine Design → Machine Elements → Spur Gear Design

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A steel spur pinion has a module (mm) of 1.25 mm1.25\text{ mm}, 2020 teeth and 20∘20^\circ pressure angle. The pinion rotates at 1200 rpm1200\text{ rpm} and transmits power to a 6060 teeth gear. The face width (FF) is 50 mm50\text{ mm}, Lewis form factor Y=0.322Y = 0.322 and a dynamic factor Kv=1.26K_v = 1.26. The bending stress (σ\sigma) induced in a tooth can be calculated by using the Lewis formula given below.
If the maximum bending stress experienced by the pinion is 400 MPa400\text{ MPa}, the power transmitted is ______ kW (round off to one decimal place).
Lewis formula: σ=KvWtFmY\sigma = \frac{K_v W^t}{F m Y} where WtW^t is the tangential load acting on the pinion.
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