Abstract. The experimental research results of material and geometrical characteristics of Czech steel are given in the presented paper. Measurements are carried out for the yield strength of plates made of steel grade S355. The values measured are used to compute axial resistances which are compared with the resistance resulting from standard (nominal) values. In this paper, there was used a statistical information for evaluating the results of strength measurements on a series of plates and hot-rolled profiles under tension to determine the adequate partial γ M0 safety factor.

Abstract. The presented paper deals with the stochastic analysis of the ultimate limit states of steel-concrete building members. The load carrying capacity of steel-concrete columns, comprising of steel profiles encased in high strength concrete, in compression is analyzed. The first part of the paper lists assumptions for the determination of the theoretical load carrying capacity of the column. Principles of elasticity and plasticity are used to determine stresses in the concrete and steel sections. Statistical characteristics of input material and geometrical imperfections are listed. Results of the theoretical analysis are then compared with results of experimental research. Statistical characteristics of obtained results of the theoretical analysis were verified using statistical characteristics obtained from experimental research. Numerical simulation LHS and Monte Carlo methods, which take into account the influences of variability of input imperfections, were employed. The influence of the utilization of the plastic reserve in the determination of the load carrying capacity of the analysed strut is shown. The influence of the initial geometric imperfections of initial strut curvature on the load carrying capacity is also presented.

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The presented article studies the bending resistance of a stainless steel hot-rolled profile UPE 80, which is stressed by bending around the minor principal axis. Resistance is studied as the random output variable, which is a function of input material and geometric characteristics. The paper deals with the stochastic analysis of this static resistance. The computational model is created on the basis of the finite element method using geometric and materially nonlinear solution. The Ansys software with 4-node Shell 181 element is used. The input random variables of the stainless steel are taken from previous research aimed at identifying the material mechanical properties based on experimental research of austenitic chromium-nickel stainless steel 1.4307/AISI 304 L. Statistical analysis is performed using the Latin Hypercube Sampling method. The probability of achieving standard design resistance is estimated and compared with the reliability level in standard EN1990 given by the reliability factor beta 3.8. The article discusses the need for a larger number of samples for reliable estimates of design resistances and for the verification of partial reliability factors, which are a challenge for further research.

The analysis of the limit states of load-bearing stainless steel structural members requires the inclusion of material non-linearity in the calculations of resistance and deformation. The analysis of slender columns under compression requires the inclusion of both material and geometric non-linearity, which increases demands on the numerical analysis and scientific computing. This paper focuses on some aspects of the numerical analysis of the compressive force of columns with initial imperfections, which may have a significant influence on the results of the analysis of the safety and usability of load-bearing structures with slender members. The increased accuracy of results of experimental research on the material characteristics of stainless steel is discussed in connection with the properties of carbon steel and the application of numerical analysis in stochastic computational models.