In a gearbox, a spur gear is mounted on a shaft at equal distances from two supporting bearings. The shaft and mounted gear turn together at a speed of 3600RPM. The gearbox is designed to transmit a maximum power of 3kW. The gear contact angle is φ = 20°. The pitch diameter of the gear is dp = 30 in. a) Find the radial force on each of the two bearings supporting the shaft. The ratio of the two bearings’ length and diameter is L/D = 0.5. The bearings are made of acetal resin material with the following limits: Surface velocity limit, V, is 5m/s. Average surface-pressure limit, P, is 7 MPa. PV limit is 3000 psi-ft/min. b) Find the diameter of the shaft in order not to exceed the stated limits
In a gearbox, a spur gear is mounted on a shaft at equal distances from two
supporting bearings. The shaft and mounted gear turn together at a speed of
3600RPM. The gearbox is designed to transmit a maximum power of 3kW. The
gear contact angle is φ = 20°. The pitch diameter of the gear is dp = 30 in. a) Find
the radial force on each of the two bearings supporting the shaft.
The ratio of the two bearings’ length and diameter is L/D = 0.5. The bearings are
made of acetal resin material with the following limits:
Surface velocity limit, V, is 5m/s.
Average surface-pressure limit, P, is 7 MPa.
PV limit is 3000 psi-ft/min.
b) Find the diameter of the shaft in order not to exceed the stated limits.
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