The paper presents a general bifurcation analysis of members that are
locally buckled in the fundamental state. The members are assumed to b
e geometrically perfect in the overall sense such that bifurcation of
the locally buckled member in an overall mode may occur. The analysis
applies to arbitrary types of loads and support conditions. The cross-
section, which may be arbitrary in shape, is assumed to be composed of
flat plates. The paper derives the general variational equations expr
essing equilibrium of the fundamental and bifurcated states. The varia
tional equations are applied to doubly symmetric columns and doubly sy
mmetric beam-columns. The differential equations and boundary conditio
ns are derived from the variational equations and solved for the funda
mental and bifurcated states, thus providing the bifurcation loads of
the members. (C) 1997 Elsevier Science Ltd.