The method of superposition is further developed to analyze free vibra
tion and buckling of symmetric cross-ply laminated rectangular plates.
The improved plate theory developed by Mindlin is implemented. A four
building block technique is employed that reduces the number of combi
nations of classical boundary conditions that need to be studied. Comb
inations of clamped and simply supported boundary conditions are inves
tigated, Eigen-values and critical buckling loads with four-digit accu
racy are obtained for plates with five distinct combinations of simply
supported and clamped boundary conditions.