What will be the correct shear stress distribution diagram for given T section?

Question

Question

This question was previously asked in

HPCL Engineer Civil 23 Dec 2023 Official Paper

Answer 1

Explanation:

Shear stress distribution in some important figures is given below.

Cross-section	Stress Distribution
Inverted T – Section Shear stress is maximum at the neutral axis.
T – Section Shear stress is maximum at the neutral axis.
Rectangular section Shear stress is parabolic. Shear stress is maximum at the neutral axis. \({\tau _{max}} = \frac{3}{2}{\tau _{avg}}\)
Triangular section Shear stress is parabolic. Shear stress is maximum at mid-height. \({\tau _{NA}} = \frac{4}{3}\;{\tau _{avg}}\) \({\tau _{max}} = \frac{3}{2}\;{\tau _{avg}}\)
Circular section Shear stress is parabolic. Shear stress is maximum at the neutral axis. \({\tau _{max}} = \frac{4}{3}\;{\tau _{avg}}\)
I section Shear stress is parabolic in the web and flange both. Shear stress is maximum at the neutral axis.
+ Cross section Shear stress is parabolic in both web and flange. Shear stress is maximum at the junction of the web and flange.