GATE CE 2018 Set 2 — Question 41
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Structural Engineering → RC Fundamentals & Beams → Singly Reinforced Beams
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Question
A singly-reinforced rectangular concrete beam of width 300 mm and effective depth 400 mm is to be designed using M25 grade concrete and Fe500 grade reinforcing steel. For the beam to be under-reinforced, the maximum number of 16 mm diameter reinforcing bars that can be provided is
Correct answer
(C) 5
Solution
1.For Fe500 steel, the limiting depth of the neutral axis is mm.
2.For an under-reinforced section, .
3.Equating total compression and total tension: .
4.The maximum area of steel for an under-reinforced section is mm.
5.Area of one 16 mm diameter bar: mm.
6.Maximum number of bars .
7.Since the number of bars must be an integer and must be less than for the beam to remain under-reinforced, the maximum number of bars is 5.
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