A solid steel machine shaft with safe shearing stress of 7000 psi transmits a torque of 10,500 in-lb. A square key is used whose width is equal to one-fourth the shaft diameter and whose length is equal to 1.5 times the shaft diameter. Find the shearing stress in the key in psi.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...
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A solid steel machine shaft with safe shearing stress of 7000 psi transmits a torque of 10,500 in-lb. A square key is used whose width is equal to one-fourth the shaft diameter and whose length is equal to 1.5 times the shaft diameter. Find the shearing stress in the key in psi.

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I think you have a mistake from the last part the Torque is equals to 10,500 in lb not 7000

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