On the Bending Elastic Stability of Isotropic Cylinders

Abstract

Seide and Weingarten have, recently, shown conclusively that in isotropic cylinders, the critical stress for bending stability is essentially the same as that in the corresponding compressive stability problem although the buckle pattern is quite different. The deflection pattern obtained in ref. 1 as a result of elaborate computations presents certain interesting features. The dominant feature is that the buckle pattern is an asymmetric one, because any axisymmetric mode is incompatible with the bending problem.