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Shell buckling

Buckling occur when an axial load on a shell or truss/column exceeds a certain critical value. This situation often leads to a collapse, as columns loose all of their load bearing capacity. Plates, in contrast, often have some sort of boundary condition along all edges, so that they retain some of their initial capacity even after buckling have occured.

Plate buckling with axial/plane load are solved by using 2. order plate theory, removing the load part of the equation, p(x,y), when there are no lateral load.

The Nx, Ny and Nxy now represents loads instead of reaction forces, as there are no lateral load.

Here is an example of analytical solving of a buckling problem, a thin plate with all four edges pinned. You can change dimensions on the plate to study different buckling patterns and critical stress values.

Press here for Buckling Java applet