GATE CE 2015 Set 1 — Question 16
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Structural Engineering → RC Fundamentals & Beams → Limit State Method
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Question
Consider the singly reinforced beam shown in the figure below:
At cross-section , which of the following statements is TRUE at the limit state?

Correct answer
(B) The variation of strain is linear and that of stress is non-linear
Solution
In the limit state method of design for reinforced concrete, one of the fundamental assumptions (as per IS 456:2000, Clause 38.1) is that plane sections normal to the axis remain plane after bending. This implies that the strain distribution is linear across the depth of the section. However, the stress distribution in the concrete is non-linear (typically assumed as a parabolic-rectangular block) at the limit state of collapse in flexure to reflect the actual material behavior at high strains.
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