Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has a square cross-section and the other has a circular cross-section, then ______.

Both beams will be equally strong Circular section beam will be stronger Square section beam will be stronger The strength of the beam will depend on the nature of loading

Concept:

SSC JE CE 16 SOM images Q10

Both are of equal area $\Rightarrow b^{2} = \frac{π d^{1}}{4}$

$\Rightarrow b = \frac{d}{2} \sqrt{π}$

For circular section modulus,

$Z_{c} = \frac{π d^{3}}{32}$

For square section,

$\begin{array}{l} Z_{s q u a r e} = \frac{b^{3}}{6} = \frac{π \sqrt{π} d^{3}}{48} \\ ∴ Z_{s q u a r e} = 1.18 Z_{c i r c u l a r} \end{array}$

So for the same cross-section area, a square section is better than the circular section in bending.

Note:-

For the same cross-sectional area, the order of sections in increasing the bending strength

SSC JE CE 16 SOM images Q10a

Hint Answer

Previous Question Next Question

🔗

Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has a square cross-section and the other has a circular cross-section, then ______.

Square section beam will be stronger

All Chapters — Structural Engineering

Simple Stress and Strain

Stresses in Members

Strain Energy and Resilience

Center of Gravity and Moment of Inertia

Shear Force and Bending Moment

Pure Bending

Shear Stress

Direct and Bending Stress

Slope and Deflection

Indeterminate Beams

Torsion

Plastic and Local Buckling Behaviour of Steel

Cables and Arches

Influence Lines and Approximate Analysis for Statically Determinate Structures

Deflections

Deflections Using Energy Methods

Displacement Method of Analysis: Slope-Deflection Equations

Displacement Method of Analysis: Moment Distribution

Influence line diagram mcqs

Structural engineering important exam questions

Structural engineering important exam questions II

Structural engineering important exam questions III

Plastic Analysis

Structural Engineering Loksewa Questions

Similar Questions