Abstract
The basic concepts of the general theory of elastic stability are developed with reference to combined loading, only discrete conservative structural systems being considered.It is observed that the two well known critical points, the limit and bifurcation points, are not quite adequate to describe the buckling behaviour of structures under combined loading. A more appropriate classification which describes the nature of buckling more aptly is given. Thus, in the elastic stability of structures under combined loading, mainly two types of critical point are involved, the “general” and “special” critical points. The conditions giving rise to these two distinct phenomena and their relation to the limit and bifurcation points are examined in detail. The connexion between the shape of the equilibrium surface and the nature of buckling is demonstrated analytically.
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