GATE 2025 AR — Planning – Question 41

Project Management and Professional Practice · Estimation, costing and specification · 2 marks · Numerical answer

A semicircular arch has 2 m clear span, 30 cm radial thickness and 40 cm wall breadth. Find brickwork volume in m³, to two decimals.

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Correct answer: 0.41 to 0.45

Explanation

Inner radius is 1 m and outer radius 1.3 m. Semicircular annulus area is½π(1.3²−1²)=0.345π m². Multiply by wall breadth 0.4 m to obtain 0.138π=0.43354 m³, or 0.43. Use the radial thickness to enlarge the radius, not the full diameter.

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