Abstract
The application of the Lagrange multiplier method to the bending analysis of laminated cross-ply clamped plates is described. Transverse shear deformation effects are incorporated in the energy functional. Boundary conditions not satisfied by the assumed series expressions are enforced by Lagrange multipliers. A variety of results are presented for symmetric and antisymmetric cross-ply plates with clamped boundary conditions to demonstrate the effect of anisotropy, plate geometry and span-to-depth ratios on the deflections. Closed form solutions are not tractable for laminated clamped plates and the results of the present methodology can be used as a reference for other approximate solutions.
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