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For a thin plate, increasing thickness t by 2× changes flexural rigidity D by what factor?

A8× — D ∝ t³
B4×
C16×
D2×
Answer & Solution
Correct answer: A. 8× — D ∝ t³
D = Et³/[12(1−ν²)]. Doubling t makes D = 2³ = 8 times stiffer. This is why a slight thickness increase is much more effective than adding material in-plane — same principle as I-beam height vs flange width.
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