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