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The TRANSITION from beam theory to plate theory is required when:
A{'text': 'The structure is too short', 'label': 'A'}
B{'text': 'Load is dynamic', 'label': 'D'}
C{'text': 'Material changes', 'label': 'C'}
D{'text': 'One in-plane dimension is comparable to OR larger than the other (b/L ≈ 1), making 2D bending interactions significant', 'label': 'B'}
Answer & Solution
Correct answer: D. {'text': 'One in-plane dimension is comparable to OR larger than the other (b/L ≈ 1), making 2D bending interactions significant', 'label': 'B'}
A long-narrow shape (b ≪ L) is a beam — bending is essentially 1D in the long direction. When b/L becomes comparable, 2D bending interactions (mixed term w_xxyy in the biharmonic) matter — plate theory is required.
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