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Boundary conditions on a CLAMPED edge of a thin plate (Kirchhoff) at x = 0 are:

Aw = ∞
Bw = 0 only
Cw = 0 AND ∂w/∂x = 0 (no deflection, no slope into the support)
Dw_xx = 0
Answer & Solution
Correct answer: C. w = 0 AND ∂w/∂x = 0 (no deflection, no slope into the support)
**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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