GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

The cross-section of the reinforced concrete beam having an effective depth of $500\mathit{m}\mathit{m}$ is shown in the figure (not drawn to the scale). The grades of concrete and steel used are M35 and Fe550, respectively. The area of tension reinforcement is $400{\mathit{m}\mathit{m}}^2.$ It is given that corresponding to $0.2\%$ proof stress, the material safety factor is $1.15$ and the yield strain of Fe550 steel is $0.0044$.As per IS 456:2000, the limiting depth (in mm, round off to the nearest integer) of the neutral axis measured from the extreme compression fiber, is ______.