GATE 2020 CE (CE1) – Question 53
The shown singly reinforced concrete beam uses M25 concrete and Fe500 steel. Tension-steel area is 942 mm². As per IS 456:2000 limit-state design, find moment capacity (kN·m), to two decimals.
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Correct answer: 158 to 158.8
Explanation
Steel tension is $T=0.87f_yA_s=409770$ N. Neutral-axis depth is $x_u=T/(0.36f_{ck}b)=151.7667$ mm, below $0.46d=207$ mm. Thus $M_u=T(d-0.42x_u)/10^6=\mathbf{158.39}$ kN·m.