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Calculate the principal stresses and the max shear stress at the mostcritical point in the beam.

Calculate the principal stresses and the max shear stress at the mostcritical point in the beam.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A round beam of length 14-in is simply supported at A and D. The beam is loaded in torsion and with transverse loads. The diameter of the beam is 1.5-in. Calculate the principal stresses and the max shear stress at the mostcritical point in the beam.

The image depicts a 3D structural diagram with several forces and moments applied at different points, labeled A, B, C, and D along a beam aligned along the x-axis. - **Point A:** A moment of 5 kip·in is acting in a counter-clockwise direction around the z-axis. - **Point B:** - A force of 1000 lb is applied diagonally; the vertical component aligns with a y-axis of 4 units, and the horizontal component aligns with z-axis of 3 units. - A moment of 15 kip·in is acting clockwise around the y-axis. - **Point C:** - There is no specific force indicated, but it is positioned 7 inches from point B and 4 inches from point D along the x-axis. - **Point D:** - A force of 600 lb is acting vertically along the y-axis. - A moment of 10 kip·in is acting counter-clockwise around the x-axis. The distances between the points are given: - A to B: 6 inches - B to C: 7 inches - C to D: 4 inches The axes are labeled as x, y, and z, indicating a three-dimensional coordinate system. The moments are represented by red curved arrows, indicating the direction of rotation.
Transcribed Image Text:The image depicts a 3D structural diagram with several forces and moments applied at different points, labeled A, B, C, and D along a beam aligned along the x-axis. - **Point A:** A moment of 5 kip·in is acting in a counter-clockwise direction around the z-axis. - **Point B:** - A force of 1000 lb is applied diagonally; the vertical component aligns with a y-axis of 4 units, and the horizontal component aligns with z-axis of 3 units. - A moment of 15 kip·in is acting clockwise around the y-axis. - **Point C:** - There is no specific force indicated, but it is positioned 7 inches from point B and 4 inches from point D along the x-axis. - **Point D:** - A force of 600 lb is acting vertically along the y-axis. - A moment of 10 kip·in is acting counter-clockwise around the x-axis. The distances between the points are given: - A to B: 6 inches - B to C: 7 inches - C to D: 4 inches The axes are labeled as x, y, and z, indicating a three-dimensional coordinate system. The moments are represented by red curved arrows, indicating the direction of rotation.
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