5-105 Determine the volume of material removed when the groove is cut in the circular shaft shown in Fig. P5-105. 2 in. 2 in. 2 in. 2 in. 3 in.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.8.1P: The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, /...
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5-105 Determine the volume of material removed when
the groove is cut in the circular shaft shown in Fig. P5-105.
2 in.
2 in.
2 in.
2 in.
3 in.
Transcribed Image Text:5-105 Determine the volume of material removed when the groove is cut in the circular shaft shown in Fig. P5-105. 2 in. 2 in. 2 in. 2 in. 3 in.
Expert Solution
Step 1

Draw the schematic diagram of the groove.

Mechanical Engineering homework question answer, step 1, image 1

Step 2

Write the expression of the centroid of part 1 in the z-direction.

Mechanical Engineering homework question answer, step 2, image 1

Write the expression of the centroid of part 2 in the z-direction.

Mechanical Engineering homework question answer, step 2, image 2

Write the expression of the centroid of part 1 in the z-direction.

Mechanical Engineering homework question answer, step 2, image 3

Write the expression of the total area of the groove.

Mechanical Engineering homework question answer, step 2, image 4

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