GATE CE 2014 Set 1 — Question 43
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Structural Engineering → RC Fundamentals & Beams → Shear Design of Beams
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Question
A rectangular beam of width () and effective depth () is reinforced with four bars of diameter. The grade of concrete is M20 and grade of steel is Fe500. Given that for M20 grade of concrete the ultimate shear strength, for steel percentage, , and for . For a factored shear force of , the diameter (in mm) of Fe500 steel two legged stirrups to be used at spacing of , should be
Correct answer
(A) 8
Solution
1.Calculate the percentage of tension steel ():
2.Interpolate the design shear strength of concrete ():
For , For ,
3.Calculate the shear capacity of concrete ():
4.Compare with factored shear force ():
Given . Since , the concrete alone can resist the shear. However, minimum shear reinforcement must be provided.5.Minimum shear reinforcement requirement:
6.Determine stirrup diameter ():
For two-legged stirrups: The smallest standard diameter that satisfies this is .
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