A solution to Gerard's differential equations for plastic buckling of cylindrical shells is found for the case of lobar buckling under hydrostatic pressure. An approximate formula based on this solution is then obtained for buckling in the inelastic region.According to this formula, the buckling pressure is a function of the cylinder geometry and the secant and tangent mnoduli as determined from a stress-strain intensity diagrain for the shell material. Agreement with experiments on ring-stiffened cylinders is found to be within 4 percent.
The results of numerical calculations of the general-instability strength of ring-stiffened circular cylinders are presented in graphical form. The calculations are based on Kendrick's "second solution" which is published in Naval Construction Research Establishment Report No. 244 (Part III). The collapse pressures from these graphs agree within 10 percent with those computed by Kendrick's theory throughout the normal range of submarine geometries.
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