Inelastic Buckling of Circular Tubes in Bending

by Robert M. Korol, (M.ASCE), Assoc. Prof. of Civ. Engrg. and Engrg. Mechanics; McMaster Univ., Hamilton, Ontario, Canada,

Serial Information: Journal of the Engineering Mechanics Division, 1978, Vol. 104, Issue 4, Pg. 939-950

Document Type: Journal Paper


A theoretical treatment of the buckling of moderately thick circular tubes subjected to pure bending is undertaken. Predictions are made to define ranges for D/t (diameter to thickness) within plastic design, compact, and noncompact categories. Nonlinear material behavior is modelled by Ramberg-Osgood idealization of the stress-strain relationship, while a deformation theory of plasticity together with small deflections are used to define a mathematical expression for the buckled state. Galerkins' method, together with numerical integration, is used to solve the problem. The stress-strain parameters for two structural steels and a prescribed extreme fiber strain for each of the three categories of design determine the critical D/t and associated buckle wave length for six cases.

Subject Headings: Inelasticity | Buckling | Tubes (structure) | Bending (structural) | Plastic design | Stress strain relations | Numerical methods | Thickness

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