Advanced Steel Construction

Vol. 20, No. 4, pp. 424-436 (2024)


 METAL BEAMS SUSCEPTIBLE TO OUT-OF-PLANE INSTABILITY

DUE TO COMBINED COMPRESSION AND BENDING WITH

GEOMETRIC IMPERFECTIONS

 

Antonio Aguero 1, *, Ana Almerich-Chulia 1, Yvona Kolekova 2 and Pedro Martin-Concepcion 1

1 Dept. of Continuous Medium Mechanics and Theory of Structures, Universitat Politècnica de València,

c/Camino de Vera s/n, 46022 Valencia, Spain

2 Dept. of Structural Mechanics, Faculty of Civil Engineering, Slovak University of Technology in Bratislava,

Bratislava, Slovak Republic

*(Corresponding author: E-mail:This email address is being protected from spambots. You need JavaScript enabled to view it.)

Received: 22 April 2024; Revised: 21 October 2024; Accepted: 9 November 2024

 

DOI:10.18057/IJASC.2024.20.4.10

 

View Article   Export Citation: Plain Text | RIS | Endnote

ABSTRACT

The parts of the second generation of Eurocodes are continuously published. The full set of the 2nd generation of these new European standards consists of 68 parts of Eurocodes, 15 Technical Specifications and 5 Technical Reports and they will all be available in 2028. The aim of the paper is to bridge the gap concerning one of the newest and the most complex UGLI (Unique Global and Local Initial) imperfection methods. According to EN 1993-1-1:2022, ultimate limit state design checks may be carried out using methods of analysis named hereafter as M0, M1, M2, M3, M4, M5 or EM. Both Eurocodes EN 1993-1-1:2022 and EN 1999-1-1:2023 state, as an alternative that to sway and equivalent bow imperfection the new UGLI imperfection method may be employed for global and member analyses. In previous papers, plane stability was mostly investigated. The method presented in this paper enables the computing of the amplitude of the initial imperfection of elements under compression bending susceptible to out-of-plane buckling, and is a generalization of Eurocode rules, which is valid only for members under compression. This work is a continuation of a previous work by Agüero, in which the way to compute the UGLI imperfection was generalized for flexural torsional buckling due to compression and lateral torsional buckling due to bending. Some examples are presented to show the agreement with GMNIA (Geometrical material nonlinear analysis of imperfect structures), tests and proposals with codes.

 

KEYWORDS

Out-of-plane instability, EN 1993-1-1:2005, EN 1993-1-1:2022, Equivalent UGLI imperfection, Imperfection shapes, Imperfection amplitudes


REFERENCES

[1] Eurocode 3: Design of steel structures. Part 1.1: General rules and rules for buildings. EN 1993-1-1, 2005, Corrigendum AC, 2006, Corrigendum AC, 2009, Amendment A1, 2014, CEN Brussels.

[2] Eurocode 9: Design of aluminium structures.Part 1.1: General structural rules. EN 1999-1-1, 2007, Amendment A1, 2009, Amendment A2, 2013, CEN Brussels.

[3] Eurocode 3: Design of steel structures. Part 1.1: General rules and rules for buildings. EN 1993-1-1, 2022, CEN Brussels.

[4] Eurocode 9: Design of aluminium structures. Part 1.1: General structural rules. prEN 1999-1-1, 2020-07-01, CEN Brussels.

[5] E. Chladný and M. Štujberová, Frames with unique global and local imperfection in the shape of the elastic buckling mode (part 1), Stahlbau, 8, pp. 609-617, 2013.

[6] E. Chladný and M. Štujberová, Frames with unique global and local imperfection in the shape of the elastic buckling mode (Part 2), Stahlbau, 9, pp. 684-694, 2013.

[7] E. Chladný and M. Štujberová, Errata: frames with unique global and local imperfection in the shape of the elastic buckling mode. Part 1, Stahlbau, 82:H. 8, S. 609617, 2013. Part 2. Stahlbau, 83:H. 9, S. 684694, 2013. Stahlbau, 82:H. 9 S. 684-694, 2013. Stahlbau, 1, 64-64, 2014.

[8] I. Baláž, Determination of the flexural buckling resistance of frames with members with non-uniform cross-section and non-uniform axial compression forces, Zborník z XXXIV Aktívu pracovníkov odboru OK so zahraničnou účastou Teoretické a konštrukčné problémy ocelových a drevených konštruckcií a mostov, 1617, 10, Pezinok, 1722, 2008.

[9] A. Agüero, L. Pallarés and F.J. Pallarés, Equivalent geometric imperfection definition in steel structures sensitive to flexural and/or torsional buckling due to compression, Engineering Structures, 96(1), 160-177, 2015.

[10] A. Agüero, F.J. Pallarés and L. Pallarés, Equivalent geometric imperfection definition in steel structures sensitive to lateral torsional buckling due to bending moment, Engineering Structures, 96(1), 41-55, 2015.

[11] F. Bijlaard, M. Feldmann, J. Naumes and G. Sedlacek, The general method for assessing the out of plane stability of structural members and frames and the comparison with alternative rules in EN1993 Eurocode3 Part 1-1, Steel Construction, 3(1), 19-33, 2010.

[12] M. Wieschollek, N. Schillo, M. Feldmann and G. Sedlacek. Lateraltorsional buckling checks of steel frames using second-order analysis, Steel Construction, 5(2), 71-86, 2012.

[13] F. Papp, “Buckling assessment of steel members through overall imperfection method”, Engineering Structures, 106, 124−136, 2016.

[14] N.S. Trahair, Flexuraltorsional buckling of structures, E&Fnspon, 1993.

[15] A. Agüero, Beamcolumnimperfection Software, Online available from https://laboratoriosvirtuales.upv.es/webapps/Beamcolumn_imperfection.html, 2023

[16] A. Agüero, Thinwallsectiongeneral Software, Online available from https://laboratoriosvirtuales.upv.es/webapps/thinwallsectiongeneral.html, 2023.

[17] R. Winkler, A. Bours, A. Walter and M. Knobloch, Redistribution of internal torsional moments caused by plastic yielding of structural steel members, Structures, 17, 21-33, 2019.

[18] I. Baláž, Manual to EN 1993-1-1:2022 with numerical examples in MATHCAD, ÚMS SR in Bratislava. In print.

[19] A. Agüero, Buckling Beam Column N My Mz B T any support & section Software, Online available from https://labmatlab-was.upv.es/webapps/home/Bucklingresistanceopenclosed_anyBC_N_My_Mz_B_U.html, 2023.

[20] A. Agüero. Bucklingresistance open + closed Software online available from: https://labmatlab-was.upv.es/webapps/home/Bucklingresistanceopenclosed.html, 2023

[21] A. Agüero. Software online https://antonioagueroramonllin.blogs.upv.es/, 2003