Development of contemporary building industry and related search for new aesthetical and functional solutions of monumental buildings in the centers of large cities resulted in the interest in glass as a structural material. Attractiveness of glass as a building material may be derived from the fact, that it combines transparency and aesthetical look with other functional features. Application of glass results in modern look of building facades, improves the indoor comfort without limiting the availability of natural daylight. Wide implementation of the new high performance float flat glass manufacturing technology, in conjunction with increasing expectations of the construction industry relating to new glass functions, has led to significant developments in glass structures theory, cf. [1, 3, 4, 5, 9, 10]. Many years of scientific research conducted in European Union countries have been crowned with a report CEN/TC 250 N 1050 [2], compiled as a part of the work of European Committee for Standardization on the second edition of Eurocodes - an extension of the first edition by, among others, the recommendations for the above mentioned design of glass structures, in particular modern procedures for the design of glass building structures. The procedures proposed in the pre-code [2] are not widely known in Poland, and their implementation in the design codes should be verified at the country level. This task is undertaken in this paper.
The main idea of this work is to demonstrate an application of the generalized perturbation-based Stochastic Finite Element Method for a determination of the reliability indicators concerning elastic stability for a certain spectrum of the civil engineering structures. The reliability indicator is provided after the Eurocode according to the First Order Reliability Method, and computed using the higher order Taylor expansions with random coefficients. Computational implementation provided by the hybrid usage of the FEM system ROBOT and the computer algebra system MAPLE enables for reliability analysis of the critical forces in the most popular civil engineering structures like simple Euler beam, 2 and 3D single and multi-span steel frames, as well as polyethylene underground cylindrical shell. A contrast of the perturbation-based numerical approach with the Monte-Carlo simulation technique for the entire variability of the input random dispersion included into the Euler problem demonstrates the probabilistic efficiency of the perturbation method proposed.