- Analytical solutions for buckling loads of composite cylindrical shells with axial and circumferential stiffeners are presented using a layerwise shell theory. The layerwise shell theory accounts for displacement variations through the thickness of the shell. The effect of stiffeners is averaged over the domain of the shell, and the effect of stiffener eccentricity is taken into account. The Navier solution procedure is used to develop analytical solutions for buckling of stiffened cylindrical shells. Numerical results are presented to illustrate the accuracy of the layerwise shell theory in comparison to single-layer shell theories. 1993.