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Engineering and Tech / Mechanics of Materials 10 / Chapter 5 / Problem 5-2

Mechanics of Materials | 10th Edition | ISBN: 9780134319650 | Authors: Russell C. Hibbeler

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Answer: The solid shaft of radius r is subjected to a

Chapter 5, Problem 5-2

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QUESTION:

The solid shaft of radius r is subjected to a torque T. Determine the radius r’ of the inner core of the shaft that resists one-quarter of the applied torque (T/4). Solve the problem two ways: (a) by using the torsion formula, (b) by finding the resultant of the shear-stress distribution.

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QUESTION:

The solid shaft of radius r is subjected to a torque T. Determine the radius r’ of the inner core of the shaft that resists one-quarter of the applied torque (T/4). Solve the problem two ways: (a) by using the torsion formula, (b) by finding the resultant of the shear-stress distribution.

ANSWER:

Step 1 of 6

a) The torsion formulas we will use are equations 5-6 and 5-7 :

Also note (c is radius) that :

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