GATE CE 2025 Set 1 — Question 53
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Structural Engineering → Connections & Plastic Analysis → Shape Factor & Collapse Load
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Question
Consider the beam section shown in the figure, with indicating the depth of neutral axis (NA). The section is only subjected to an increasing bending moment. It is given that , when the section has not yielded at the top and bottom fibres. Further, decreases to , when the entire section has yielded. The shape factor of the section is _____________ (rounded off to 2 decimal places).
Correct answer
1.8 to 1.82
Solution
1.Elastic Section Modulus ():
Elastic NA from top.Moment of Inertia .
.
.
2.Plastic Section Modulus ():
Plastic NA from top (at the flange-web junction since areas are equal)..
3.Shape Factor ():
.Rounding to 2 decimal places, we get 1.81.
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