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Imperfection sensitivity analysis of steel columns at ultimate limit state

Kala Z., Valeš J.

Archives of Civil and Mechanical Engineering

2018

Vol. 18, no. 4

1207--1218

The present paper applies Sobol's variance-based global sensitivity analysis (SSA) to quantify the contribution of input imperfections to the load-carrying capacity (LCC) of an IPN 200 steel compressed member. LCC is evaluated using the geometrically and materially non-linear finite element solution with regard to the effects of initial random imperfections including residual stresses. Comparison of results of SSA for (i) buckling about the minor principal axis, (ii) buckling about the major principal axis and (iii) lateral–torsional buckling due to bending moment is performed on the non-dimensional slenderness interval of 0–2. SSA for (i) and (ii) is performed for steel grade (a) S235 and (b) S355, SSA for (iii) is performed only for steel grade S235. SSA found similarities in results (ia) and (ib), (iia) and (iib) and identified significant differences between results (ia) and (iiia), (iia) and (iiia), where sensitivity to the initial axial curvature is more than two times higher in (ia) than in (iiia). The relationships between the effects of initial imperfections on LCC and the design criteria of reliability of Eurocode 3 are discussed.

Sensitivity and reliability analyses of lateral-torsional buckling resistance of steel beams

Kala Z.

Archives of Civil and Mechanical Engineering

2015

Vol. 15, no. 4

1098--1107

The presented paper deals with an analysis of the effects of random imperfections on the load carrying capacity of a steel beam, which is subjected to the effects of lateral-torsional buckling arising from equal and opposite end bending moments. The load carrying capacity of a hot-rolled steel beam was analyzed in the analytical form. Histograms obtained from experimental research were available for most imperfections. Realizations of the input imperfections were computed using the Latin Hypercube Sampling method. Global sensitivity analysis was used to identify those imperfections, whose variability has a dominant effect on the load carrying capacity. Sensitivity analysis identified three continuous intervals of beam slenderness in which the load carrying capacity is sensitive to different types of imperfections. Reliability of design according to the EUROCODE 3 standard was verified by performing the statistical analysis of the ultimate limit state.