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Safety assesment of a steel frame using current code and SBRA method. Petr Konečný, M.S. S tructural Mechanics Division Department of Civil Engineering VŠB – TU Ostrava Czech Republic . Introduction. Subject of the discussion.
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Safety assesment of a steel frame using current code and SBRA method Petr Konečný, M.S. Structural Mechanics Division Department of Civil Engineering VŠB – TU Ostrava Czech Republic
Euro-SiBRAM’2002 Prague June 24 to 26, 2002 Introduction Subject of the discussion • Safety Assessment of a steel frame (a) according to the Eurocode (EC) and (b) according to SBRA method • Comparison of results • Summary
Euro-SiBRAM’2002 Prague June 24 to 26, 2002 Steel frame
Euro-SiBRAM’2002 Prague June 24 to 26, 2002 Obr. 6 Mostový jeřáb Loadings • Dead load • Wind (from the right or left) • Snow (entire roof, right or left side of the roof) • Crane girder (vertical andlateral horizontalforces)
Euro-SiBRAM’2002 Prague June 24 to 26, 2002 Eurocode vs. SBRA Eurocode (EC) • Uses load and resistence factors • Reference values correspond to ultimate (plastic) carrying capacity SBRA • All input random variables are represented by bounded histogram • Reference value is defined by the onset of yielding • The safety function SF = R – S is evaluated using direct Monte Carlo method • The safety is expressed by comparing the calculated probability of failure Pf and target probability Pd, i.e., Pf < Pd
Euro-SiBRAM’2002 Prague June 24 to 26, 2002 Assessment Eurocode (see criteria contained in the code) SBRA • Probability of failure Pf(R < s ) < Pd = 7.10-5 • R - Fy yield stress • s - Two component load effects combination expressed by stress N - Axial force M – Bending moment Probability of failurePf Is calculated using AnthillTM Computer program
Euro-SiBRAM’2002 Prague June 24 to 26, 2002 Inner forces Scatter axial forces N (kN)
Euro-SiBRAM’2002 Prague June 24 to 26, 2002 Inner forces Scatter bending moments M (kNm)
Euro-SiBRAM’2002 Prague June 24 to 26, 2002 Comparison of results Area Cross- SBRA EC sections 1 100% 121% 2 100% 110% 3 100% 140% In this study the shapes designed according to EC [2] are larger compared to cross-sections resulting from SBRA design. For details see M.S. Thesis(Konečný, 2002, VŠB - TU Ostrava)
Euro-SiBRAM’2002 Prague June 24 to 26, 2002 Summary Eurocode (EC) • Planar frame had to be analyzed considering 144 load effects combinations • Load effects combination analysis was time consuming and not consequente. SBRA • Transparent analysis of the multi-component load effects combinations • Rather complicated transformation model
Thank you for your attention Petr Konečný, M.S. Structural Mechanics Division Department of Civil Engineering VŠB – TU Ostrava Czech Republic