A pair of steel gears have a design life of a million cycles. They have 20° full-depth teeth with a diametral pitch of 8. Both gear and pinion are made of steel heat-treated to 350 Bhn, and both have a face width of 1.0 in. The teeth are machined with the highest quality hobbing operation. The pinion has 35 teeth and rotates 2000 rpm. The gear diameter over pinion diameter ratio is 2. The gears stay below a temperature of 140 °F. Assume a mounting correction factor of Km = 1.6 and an overload factor of K = 1. Use a reliability of 99.9% and a safety factor of 1.5. Use the pinion for the bending fatigue calculations and assume that there is no load sharing. A. What is the fatigue strength for these conditions. B. What is the tangential force acting on the gear teeth? C. Estimate the horsepower that can be transmitted, based only on bending fatigue.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A pair of steel gears have a design life of a million cycles. They have 20°
full-depth teeth with a diametral pitch of 8. Both gear and pinion are
made of steel heat-treated to 350 Bhn, and both have a face width of 1.0
in. The teeth are machined with the highest quality hobbing operation.
The pinion has 35 teeth and rotates 2000 rpm. The gear diameter over
pinion diameter ratio is 2. The gears stay below a temperature of 140 °F.
Assume a mounting correction factor of Km = 1.6 and an overload factor
of Ko
= 1. Use a reliability of 99.9% and a safety factor of 1.5. Use the
pinion for the bending fatigue calculations and assume that there is no
load sharing.
A. What is the fatigue strength for these conditions.
B. What is the tangential force acting on the gear teeth?
C. Estimate the horsepower that can be transmitted, based only on
bending fatigue.
Transcribed Image Text:A pair of steel gears have a design life of a million cycles. They have 20° full-depth teeth with a diametral pitch of 8. Both gear and pinion are made of steel heat-treated to 350 Bhn, and both have a face width of 1.0 in. The teeth are machined with the highest quality hobbing operation. The pinion has 35 teeth and rotates 2000 rpm. The gear diameter over pinion diameter ratio is 2. The gears stay below a temperature of 140 °F. Assume a mounting correction factor of Km = 1.6 and an overload factor of Ko = 1. Use a reliability of 99.9% and a safety factor of 1.5. Use the pinion for the bending fatigue calculations and assume that there is no load sharing. A. What is the fatigue strength for these conditions. B. What is the tangential force acting on the gear teeth? C. Estimate the horsepower that can be transmitted, based only on bending fatigue.
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