Tests of Cylindrical Shells in the Plastic Range

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Abstract
Nine mild-steel cylindrical shells, with built-in ends, were subjected to a slowly increasing uniform radial pressure. All the shells had the same mean diameter and thickness, while the length varied; the yield stress, σo was obtained from bending tests. The rigid-plastic collapse varied, respectively, for the longest and shortest shell. The experimental load-displacement diagrams showed, on the contrary, that (a) the rate of deformation increased rather abruptly at a pressure of approximately 2 H σo/R, practically independent of the length; and (b) the ultimate strength of the shells was much larger than the rigid-plastic collapse value. The elastic deformability prior to complete yielding explains point (a), and the large deformation effect and strain-hardening account for point (b). However, no procedure is yet available to account for these factors, and it may be an interesting line for future research. Meanwhile, 2H σo/R should be assumed as the limit pressure for the design of cylindrical shells and pipes subjected to radial pressure only.

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