GATE CE 2023 Set 1 — Question 37
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Structural Engineering → RC Fundamentals & Beams → Doubly Reinforced Beams
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Question
Consider a doubly reinforced RCC beam with the option of using either Fe250 plain bars or Fe500 deformed bars in the compression zone. The modulus of elasticity of steel is . As per IS456:2000, in which type(s) of the bars, the stress in the compression steel () can reach the design strength () at the limit state of collapse?
Correct answer
(A) Fe250 plain bars only
Solution
In the limit state of collapse, the maximum strain in concrete at the extreme compression fiber is . The strain in compression steel is limited by this value.
For Fe250, the yield strain is . Since , Fe250 can reach its design strength .
For Fe500, the yield strain is . Since , Fe500 cannot reach its design strength in the compression zone.
For Fe250, the yield strain is . Since , Fe250 can reach its design strength .
For Fe500, the yield strain is . Since , Fe500 cannot reach its design strength in the compression zone.
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