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

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

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Solution: The copper pipe has an outer diameter of 2.50 in.

Chapter 5, Problem 5-5

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QUESTION:

The copper pipe has an outer diameter of 2.50 in. and an inner diameter of 2.30 in. If it is tightly secured to the wall and three torques are applied to it, determine the shear stress developed at points A and B. These points lie on the pipe’s outer surface. Sketch the shear stress on volume elements located at A and B.

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QUESTION:

The copper pipe has an outer diameter of 2.50 in. and an inner diameter of 2.30 in. If it is tightly secured to the wall and three torques are applied to it, determine the shear stress developed at points A and B. These points lie on the pipe’s outer surface. Sketch the shear stress on volume elements located at A and B.

ANSWER:

Step 1 of 5

First, we will calculate the polar moment of inertia for the shaft then calculate shear stress for each point.

We will calculate the polar moment of inertia which describes the resistance to torsion deformation

Refer to figure below.

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