In CLT, the D matrix relates:
A{'text': 'Strains to displacements', 'label': 'A'}
B{'text': 'Bending and twisting moment resultants {M_x, M_y, M_xy} to mid-plane curvatures {κ°_x, κ°_y, κ°_xy}', 'label': 'B'}
C{'text': 'In-plane forces to curvatures', 'label': 'C'}
D{'text': 'Shear stress to strain', 'label': 'D'}
Answer & Solution
Correct answer: B. {'text': 'Bending and twisting moment resultants {M_x, M_y, M_xy} to mid-plane curvatures {κ°_x, κ°_y, κ°_xy}', 'label': 'B'}
D is the bending stiffness matrix. Moment resultants per unit width (lb·in/in or N·m/m) couple to plate curvatures κ. D plays the role of EI for a 1D beam, generalized to a 2D plate.
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