GATE 2025 AR — Architecture – Question 62
A simply supported beam under full-span UDL deflects 24 mm at midspan. Double its span and depth, keeping other parameters unchanged. Find new deflection in mm, as an integer.
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Correct answer: 48 to 48
Explanation
For constant UDL intensity and elastic modulus, deflection is proportional to L⁴/I. With unchanged width and geometrically doubled depth, I increases by 2³=8. Span doubling contributes 2⁴=16. Deflection therefore doubles:24×16/8=48 mm. The load intensity is held fixed, not the total applied load.