GATE CE 2018 Set 1 — Question 19
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Structural Engineering → RC Fundamentals & Beams → Doubly Reinforced Beams
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Question
Two rectangular under-reinforced concrete beam sections and are similar in all aspects except that the longitudinal compression reinforcement in section is 10% more. Which one of the following is the correct statement?
Correct answer
(A) Section X has less flexural strength and is less ductile than section Y
Solution
In an under-reinforced concrete beam, the addition of compression reinforcement () has the following primary effects:
1.Flexural Strength: The moment of resistance () increases. Compression steel provides an additional compressive force component, which allows the section to balance a larger tensile force from the tension steel, thereby increasing the total internal resisting moment.
2.Ductility: The ductility of the section increases. The presence of compression reinforcement reduces the required depth of the neutral axis () to maintain equilibrium (). A smaller neutral axis depth means that for a given ultimate strain in concrete, the strain in the tension steel is higher, leading to a more ductile failure mode.
Since Section has 10% more compression reinforcement than Section , Section will have higher flexural strength and higher ductility. Consequently, Section has less flexural strength and is less ductile than Section .Continue learning with Success Tracker
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