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Boundary conditions on a CLAMPED edge of a thin plate (Kirchhoff) at x = 0 are:
A{'text': 'w = ∞', 'label': 'C'}
B{'text': 'w = 0 only', 'label': 'A'}
C{'text': 'w = 0 AND ∂w/∂x = 0 (no deflection, no slope into the support)', 'label': 'B'}
D{'text': 'w_xx = 0', 'label': 'D'}
Answer & Solution
Correct answer: C. {'text': 'w = 0 AND ∂w/∂x = 0 (no deflection, no slope into the support)', 'label': 'B'}
Clamped edge: zero deflection (w = 0) and zero rotation (∂w/∂x = 0 along the edge normal). Compare to simply-supported (w = 0, M_x = 0) and free (M_x = 0, V_x + ∂M_xy/∂y = 0 — the "effective" shear).
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