GATE 2018 CE (CE1) – Question 50
A short tied RCC column of section 250 mm × 300 mm has four 16 mm longitudinal bars, Fe415 steel and M20 concrete. Neglect eccentricity. Under IS 456:2000 compression limit-state design referred to in the paper, axial capacity, to one decimal, is ______ kN.
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Correct answer: 815 to 830 OR 905 to 920
Explanation
Gross area is 75000 mm²; steel area is $4\pi16^2/4=804.248$ mm², leaving concrete area 74195.752 mm². Use $P_u=0.4f_{ck}A_c+0.67f_yA_{sc}$. Substitution gives 817.2 kN. The final key additionally accepts a separate 905–920 kN interval; both official intervals are retained.