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Boundary conditions on a SIMPLY SUPPORTED edge of a thin plate at x = 0 are:
A{'text': 'w = 0 and M_x = 0 (no deflection, no moment along the edge)', 'label': 'B'}
B{'text': 'M_x = 0 only', 'label': 'C'}
C{'text': 'V_x = 0', 'label': 'D'}
D{'text': 'w = 0 and w_x = 0', 'label': 'A'}
Answer & Solution
Correct answer: A. {'text': 'w = 0 and M_x = 0 (no deflection, no moment along the edge)', 'label': 'B'}
SS edge resists transverse deflection (w = 0) but offers no moment resistance (M_x = 0). Since M_x = −D(w_xx + νw_yy) and w_yy = 0 along x = const where w = 0, equivalent BC is often w = w_xx = 0.
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