The ratio of maximum shear stress to average shear stress of...

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

A. $$\frac{2}{3}$$

B. $$\frac{3}{2}$$

C. $$\frac{3}{4}$$

D. $$\frac{4}{3}$$

Answer: Option D

Solution (By Examveda Team)

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:

τ_max = (4/3) × τ_avg

Therefore, the ratio of maximum shear stress to average shear stress is:
τ_max / τ_avg = 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

This Question Belongs to Civil Engineering >> Theory Of Structures

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Comments (2)

Software Engineering:

10 months ago

Is it correct for rectangular , it is 3/2 ?
@Muhammad Saqib.

Can u plz Explain!!!
Muhammad Saqib:

5 years ago

While in rectangular it is 3/2

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