A beam with a symmetrical T-shaped cross-section, as shown in the figure, is subjected to pure bending. The maximum magnitude of the normal stress is realised:
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For a beam subjected to pure bending, maximum normal stress occurs at the top and bottom fibres, depending on whether it is under tension or compression. For a T-beam, the bottom fibres will experience the maximum stress.
both at the top and bottom fibres of the cross-section
only at the centroidal fibres of the cross-section
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The Correct Option isB
Solution and Explanation
In the case of pure bending of a beam, the normal stress varies across the section and is zero at the neutral axis (the centroid). The maximum stress occurs at the farthest points from the neutral axis (i.e., at the topmost and bottommost fibres of the beam).
For a T-beam with a symmetrical cross-section under pure bending, the maximum normal stress will occur at the bottom fibres of the cross-section, as the beam bends and the fibres experience tension and compression. The stress distribution will be highest at the bottom fibres, and these are the fibres that experience the maximum normal stress.
Conclusion: The maximum normal stress occurs at the bottom fibres of the beam, hence the correct answer is (B).
