Abstract
The buckling stress of axially compressed thin-walled circular cylindrical shells of finite length is derived from the classical small-deflection equations for nine possible combinations of edge support conditions. It turns out that the effect upon the critical stress of the length-to-diameter ratio of the shell is small except in some cases when the shell is very short. On the other hand, changes in the details of the edge support can lead to reduction factors of 1 2 or less to be applied to the classical value σ cl of the critical stress. The reduction factors ϱ = σ x0 σ cl , where σ x0 is the axial stress that causes buckling under the edge conditions specified, are plotted in a number of diagrams against the reduced length 2L∗ √(ah) of the cylinder, where 2L∗ is the length, a the radius of the middle surface, and h the wall thickness. In addition, figures showing the various buckled shapes are presented.
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