A consistent set of equations for laminated composite shallow shells i
s used to obtain various solutions for isotropic and laminated plates
and shallow shells. Exact solutions which satisfy the equations of equ
ilibrium and boundary conditions are obtained for shear diaphragm boun
daries and cross-ply laminates. The Ritz method is used to obtain the
deflections and stresses for generally laminated plates and shallow sh
ells with cantilevered and doubly-cantilevered boundaries. Triangular
elements of three and six nodes as well as quadrilateral elements of f
our and eight nodes are developed. The finite element results are comp
ared with both exact solutions and those obtained by the Ritz method.
Isotropic and laminated materials are considered for both plates and c
ylindrical shell panels.