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Civil Engineering · Q37

Theory Of Structures

Engineering and GATE · Civil Engineering · question 37

Q37

The ratio of maximum shear stress to average shear stress of a circular beam, is

A.
B.
C.
D.
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
Shear stress is the stress induced when a force is applied parallel or tangential to the surface of a material.

Average shear stress is calculated as the total shear force divided by the cross-sectional area.

Maximum shear stress is the highest shear stress value in a beam's cross-section, and in the case of a circular cross-section, it occurs at the neutral axis.

For a circular beam, the relationship between maximum shear stress and average shear stress is given by:

τmax = (4/3) × τavg

Therefore, the ratio of maximum shear stress to average shear stress is:
τmax / τavg = 4⁄3

This means the maximum shear stress is 1.33 times the average shear stress in a circular beam

Hence, the correct answer is Option D: 4⁄3