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The two-stage gear drive system in Fig. Q3 comprises Gears B-E and Shafts 1-3 and is designed to transmit 20 kW power from Shaft

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The two-stage gear drive system in Fig. Q3 comprises Gears B-E and Shafts 1-3 and is designed to transmit 20 kW power from Shaft 1 to Shaft 3. The train ratio of the system is 4 and the number of teeth are TB = 20, Tc = 40, TD = 30 and the pressure angle is 20. The distance between the gears is 180 mm and Shaft 1 rotates at 1000 rpm. a) Find the number of teeth on Gear D. b) Find the rotational velocity of Shaft 2. c) Find the tangential, radial and normal forces on Gear B. [3 marks] [3 marks] [11 marks] d) Determine the corrected endurance limit and load stress factor for the teeth on Gear B, when the safety factor is 3 for bending and wear failure, the service factor is 1.3, dynamic force is equal to tangential force, Lewis form factor is 0.32 and the teeth width is equal to 10 x m (m is gear module). [8 marks] C E B D Shaft 1 Shaft 2 Shaft 3

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