I\'m having trouble understanding a texbook solution given for the book, Machine

Question

I'm having trouble understanding a texbook solution given for the book, Machine Elements in Mechanical Design, Fifth Edition by Robert L. Mott; Chapter 12, Problem number 7.

https://www.chegg.com/homework-help/machine-elements-in-mechanical-design-5th-edition-chapter-12-problem-7p-solution-9780135077931

I don't recall torque distribution, and the solution gives no explanation how the horsepower is found at the different locations on the shaft. Can someone please explain how to find the distributed power based on the input power of 50hp at gear C so that I may find the torque at the other areas A, B, D, E, and F along the shaft?

Explanation / Answer

All the Gears are on the same shaft, therefore all of them rotate with the same rpm

You have to calculate find the horsepower delivered to A from the previous question = 30 hp

Therefore Ta   = 63000 * 30 / 480   = 3937.5 lb-in

Tc   = 63000 * (Input Hp) / 480    = 6563 lb-in

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