Abstract
Some particular and selected problems aimed at ultimate limit state and probability-based studies pertaining to lateral-torsional buckling of steel beams are described. Stochastic analysis of the ultimate limit state of a slender member IPE220 under bending was elaborated. The values of non-dimensional slenderness for which the statistical characteristics of random load-carrying capacity are maximal were determined. The stochastic computational model was created in the programme ANSYS. Geometric nonlinear solution was employed. In the conclusion of the article, the question of the random effect of the initial rotation of the cross-section on the load-carrying capacity is discussed.
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