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GATE 2024 CE (CE1) – Question 52

Concrete Structures · Design and detailing of beams and slabs · 2 marks · Numerical answer

A slab panel with an effective depth of 250 mm is reinforced with 0.2% main reinforcement using 8 mm diameter steel bars. The uniform center-to-center spacing (in mm) at which the 8 mm diameter bars are placed in the slab panel is __________ (rounded off to the nearest integer).

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Correct answer: 100

Explanation

Take a 1 m wide strip. The area of steel is $A_{st} = \frac{0.2}{100} \times 1000 \times 250 = 500$ mm². The area of one 8 mm bar is $\frac{\pi}{4} \times 8^2 = 50.27$ mm². The spacing is $\frac{1000 \times 50.27}{500} = 100.5$ mm, which is about 100 mm.