Engineering Transactions, 34, 4, pp. 503-515, 1986

The Post-Buckling Behaviour of Thin-Walled Columns in the Elasto-Plastic Range

K. Kowal-Michalska
Technical University of Łódź, Łódź

R. Grądzki
Technical University of Łódź, Łódź

The post-buckling behaviour in the elasto-plastic range of thin-walled, steel columns subject to uniform compression is analysed. The problem is solved using the Rayleigh-Ritz variational method involving plasticity. The plastic stress-strain relations are described by Prandtl-Reuss equations. Numerical calculations have been carried out for different geometrical parameters and material properties. The load-shortening curves and the spreads of plasticity regions in component plates of a column are presented in figures.

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T. R. GRAVES-SMITH, The ultimate strength of thin-walled columns of arbitrary length, Thin-walled steel structures, London 1968.

K. E. MOXHAM, Theoretical predictions of the strength of welded steel plates in compression, Cambridge University Report No CUED/C-Struct. T.R.2, 1971.

M. A. CRISFIELD, Full range analysis of steel plates and stiffened plating under uniaxial compression, Proc. Inst. Civ. Engrs., 59, 2, 1975.

P. A. FRJEZE, P. J. DOWLING, R. E. HOBBS, Ultimate load behaviour of plates in compression, Crosby Lockwood Staples, London 1977.

G. H. LITTLE, Rapid analysis of plate collapse by live energy minimization, Int. J. Mech. Sci., 19, Pergamon Press, 1977.

C. D. BRADFIELD, R. W. STONOR, Simple collapse analysis of plates in compression, J. Struc. Eng., 110, 1984.

А. С. ВОЛЬМИР, Устойчивость деформируемых систем, Наука, Москва 1968.

K. E. MOXHAM, Buckling tests on individual welded steel plates in compression, Cambridge University Report No CUED/C - Struct. T.R.3, 1971.