The problem of global and local stability in the elasto-plastic range for thin-walled columns is examined on the basis of the incremental theory of plasticity using Hill's Yield Criterion. Columns of closed and open cross-sections built from rectangular orthotropic plates are subjected to the axial compression. A solution of elastic buckling for a thin-walled orthotropic columns based on Koiter's asymptotic method is employed to investigate the elasto-plastic buckling mode of the column and to determine its buckling load. The study is based on the numerical method of the transition matrix. The results of numerical calculations are presented in diagrams.
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