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In CLT, the assumption of "Kirchhoff's hypothesis" (plane sections remain plane and perpendicular to the reference surface) is analogous to which beam-theory assumption?
A{'text': 'Bernoulli-Euler beam assumption — plane cross-sections remain plane and perpendicular to the neutral axis', 'label': 'A'}
B{'text': 'Timoshenko beam assumption with shear deformation', 'label': 'B'}
C{'text': "Saint-Venant's principle", 'label': 'C'}
D{'text': 'Plane-stress assumption', 'label': 'D'}
Answer & Solution
Correct answer: A. {'text': 'Bernoulli-Euler beam assumption — plane cross-sections remain plane and perpendicular to the neutral axis', 'label': 'A'}
Kirchhoff plate theory is the 2D generalization of Euler-Bernoulli beam theory: no through-thickness shear deformation; cross-sections stay perpendicular to the deformed mid-surface. Thick laminates need Mindlin-Reissner (Timoshenko-like) theory instead.
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