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Civil Engineering
QUESTION #2116
Question 1
For a rectangular cross-section beam, the ratio of maximum shear stress to average shear stress is:
Correct Answer Explanation
For a rectangular section of width \(b\) and depth \(d\): maximum shear stress occurs at the neutral axis \(= \dfrac{3V}{2bd} = 1.5 \times \dfrac{V}{bd}\). Average shear stress \(= \dfrac{V}{bd}\). Therefore ratio \(= 1.5\). This is a fundamental result derived from the shear stress distribution formula \(\tau = \dfrac{VQ}{Ib}\).
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