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Question

Considering modular ratio as 13, grade of concrete as M20 and grade of steel as 415, what is the ratio of balanced depth of neutral axis as per working stress method to the balanced depth of neutral axis as per limit state method?

A
127
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B
113
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C
712
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D
311
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Solution

The correct option is C 712
As per working stress method balanced depth ofneutral axis is given byxc=(mct+mc)×dFor M20 concrete, c=7 N/mm2 and forFe415,t=230 N/mm2xc=(13×7230+13×7)×dxc=0.28 dAs per limit state method, forFe415xu,lim=0.48 dxcxu,lim=0.28d0.48dxcxu,lim=712

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