A 500 pound weight is attached to a cable that is being lifted by a 10 inch diameter drum. The 48V DC motor selected has a no-load angular velocity of 800 RPM and a stall torque of 500 inch-pounds. A gearbox has been designed to spin the drum as quickly as possible. Assume that there are no friction losses in this system. The drum is driven by a 72-tooth gear with a diametral pitch of P=8. Assuming that the entire output torque required to turn the drum is produced by the force on one tooth, and that the gear tooth would fail by being sheared off at the pitch circle, determine the required gear face width, b, for a factor of safety of 3 A gear made out of 6061 Aluminum (σy = 35 ksi, τy = 20)
A 500 pound weight is attached to a cable that is being lifted by a 10 inch diameter drum. The 48V DC motor selected has a no-load angular velocity of 800 RPM and a stall torque of 500 inch-pounds. A gearbox has been designed to spin the drum as quickly as possible. Assume that there are no friction losses in this system.
The drum is driven by a 72-tooth gear with a diametral pitch of P=8. Assuming that the entire output torque required to turn the drum is produced by the force on one tooth, and that the gear tooth would fail by being sheared off at the pitch circle, determine the required gear face width, b, for a factor of safety of 3
A gear made out of 6061 Aluminum (σy = 35 ksi, τy = 20)
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