GATE CE 2024 Set 1 — Question 30
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Structural Engineering → RC Fundamentals & Beams → Doubly Reinforced Beams
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Question
Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following cases will the section becomes under-reinforced?
Correct answer
(B) Area of compression reinforcement is increased.; (C) Area of tension reinforcement is decreased.
Solution
In a balanced section, the depth of the neutral axis equals the limiting depth . For a doubly reinforced section, the equilibrium of forces is given by:
To make the section under-reinforced, the actual neutral axis depth must decrease ().
To make the section under-reinforced, the actual neutral axis depth must decrease ().
1.Decreasing : Reducing the tension reinforcement decreases the total tension force . To maintain equilibrium, the compression force must also decrease, which requires a reduction in . Thus, the section becomes under-reinforced. (Option C is correct).
2.Increasing : Increasing the compression reinforcement increases the compression force contribution from steel. To maintain the same total tension force , the concrete's compression contribution must decrease, which requires a reduction in . Thus, the section becomes under-reinforced. (Option B is correct).
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