Improved Interaction Formula for the Plastic Resistance of I- and H-Sections under a Combination of Bending Moments My,Ed, Mz,Ed, and Bimoment BEd
Abstract
:1. Introduction
1.1. Linear-Interaction Formula
1.2. Proposals for Interaction Formula Containing My,Ed and BEd
1.3. Calculation of Factor ξ
1.3.1. Method A (According to Osterrieder et al.)
1.3.2. Method B (According to Rubin and Kindmann et al.)
1.4. Research Significance
2. Calculation of Exact Interaction Curves
3. Proposal for Improved Interaction Formulae (Variant No. 4)
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Nomenclature
References
- EN 1993-1-1:2005 and Corrigendum AC (2006) and Corrigendum AC (2009) and Amendment A1 (2014); Eurocode 3: Design of Steel Structures. Part 1.1: General Rules and Rules for Buildings. European Union: Brussels, Belgium, 2005.
- EN 1999-1-1:2007 and Amendment A1 (2009) and Amendment A2 (2013); Eurocode 9: Design of Aluminium Structures. Part 1.1: General Structural Rules. European Union: Brussels, Belgium, 2007.
- prEN 1993-1-1:2020; Eurocode 3: Design of Steel Structures. Part 1.1: General Rules and Rules for Buildings. European Union: Brussels, Belgium, 2020.
- prEN 1999-1-1:2022-01-14; Eurocode 9: Design of Aluminium Structures. Part 1.1: General Structural Rules. European Union: Brussels, Belgium, 2022.
- Agüero, A.; Baláž, I.; Koleková, Y.; Moroczová, L. New interaction formula for the plastic resistance of I- and H-sections under combinations of bending moments My,Ed, Mz,Ed and bimoment BEd. Structures 2021, 29, 577–585. [Google Scholar] [CrossRef]
- Vayas, I. Interaktion der plastischen Grenzschnittgrößen doppelsymmetrischer I-Querschnitte. Stahlbau 2000, 69, 693–706. [Google Scholar] [CrossRef]
- Ludwig, C. Assessment of the interaction conditions of i-shaped cross-sections. Eurosteel 2021, 4, 1085–1095. [Google Scholar] [CrossRef]
- Baláž, I.; Koleková, Y. Resistances of I- and U-sections. Combined bending and torsion internal forces. In Proceedings of the EUROSTEEL, Copenhagen, Denmark, 13–15 September 2017; pp. 1–10, Paper No. 13_12_ 772 on USB. [Google Scholar]
- Mirambell, J.E.; Bordallo, E. Real torsion and its interaction with other internal forces in EN 1993-1-1—A new approach. Steel Constr. 2016, 9, 240–248. [Google Scholar]
- Osterrieder, P.; Kretzschmar, J. First-hinge analysis for lateral buckling design of open thin-walled steel members. J. Constr. Steel Res. 2006, 62, 35–43. [Google Scholar] [CrossRef]
- Yang, Y.B.; Chern, S.M.; Fan, H.T. Yield surfaces for I-sections with bimoments. J. Struct. Eng. 1989, 115, 3044–3058. [Google Scholar] [CrossRef]
- Kindmann, R.; Frickel, J. Grenztragfähigkeit von häufig verwendeten Stabquerschnitten für beliebige Schnittgröβen. Stahlbau 1999, 68, 817–828. [Google Scholar] [CrossRef]
- Rubin, H. Zur plastischen tragfähigkeit von 3-blech-querschnitten unter normalkraft, doppelter biegung und wölbkrafttorsion. Stahlbau 2005, 74, 47–61. [Google Scholar] [CrossRef]
- Wolf, C.; Frickel, J. QST-TSV-3Blech. Program. Lehrstuhl für Stahl- und Verbundbau. Prof. Dr.-Ing. R. Kindmann. Ruhr-Universität Bochum. 2002. Available online: https://www.kindmann.de/downloads/file/1-rubstahl-programme (accessed on 13 July 2022).
- Dlubal Software GmbH. Programm SHAPE-THIN 8. German name DUENQ, 8.13.01.140108 x64. 2018. Available online: https://dlubl.com/en/products/cross-section-properties-software/shape-thin (accessed on 13 July 2022).
- Agüero, A.; Gimenez, F. Thinwallres. 2022. Available online: https://labmatlab-was.upv.es/webapps/home/thinwallres.html (accessed on 13 July 2022).
- Baláž, I.; Kováč, M.; Živner, T.; Koleková, Y. Plastic resistance of H-section to interaction of bending moment My,Ed and bimoment BEd. In Proceedings of the 2nd International Conference on Engineering Sciences and Technologies, High Tatras Mountains, Tatranské Matliare, Slovakia, 29 June–1 July 2016; CRC Press, Taylor & Francis Group, A Balkema book. 2017; pp. 33–38. [Google Scholar]
- Baláž, I.; Kováč, M.; Živner, T.; Koleková, Y. Plastic resistance of IPE-section to interaction of bending internal forces My,Ed, Vz,Ed and torsion internal forces BEd, Tω,Ed and Tt,Ed. In Proceedings of the 2nd International Conference on Engineering Sciences and Technologies, High Tatras Mountains, Tatranské Matliare, Slovakia, 29 June–1 July 2016; CRC Press, Taylor & Francis Group, A Balkema book. 2017; pp. 27–32. [Google Scholar]
- Baláž, I.; Koleková, Y. Plastic resistance of Aluminium I-profile under bending and torsion according to continuous strength method. In Proceedings of the 23rd International Conference Engineering Mechanics, Svratka, Czech Republic, 15–18 May 2017. [Google Scholar]
- Baláž, I. Resistance of I- and channel sections according to continuous strength method. In Proceedings of the 22nd Conference of Structural Engineers, Piešťany, Slovakia, 16–17 March 2017. (In Slovak). [Google Scholar]
- Baláž, I.; Koleková, Y. Plastic Resistance of I- and U-Section under Bending and Torsion. In Stahbau, Holzbau und Verbundbau; Jubilee Publication in Honour of Mrs. Prof. Kuhlmann on the Occasion of Her 60th Birthday; Ernst & Sohn, A Wiley Brand: Hoboken, NJ, USA, 2017; pp. 203–209. [Google Scholar]
- Agüero, A.; Pallarés, F.J.; Pallares, L. Equivalent geometric imperfection definition in steel structures sensitive to lateral torsional buckling due to bending moment. Eng. Struct. 2015, 96, 41–55. [Google Scholar] [CrossRef]
- Kindmann, R.; Frickel, J. Elastische und Plastische Querschnittstragfähigkeit Grundlagen, Methoden, Berechnungsverfahren, Beispiele. Mit CD-ROM: RUBSTAHL Lehr- und Lernprogramme; Ernst & Sohn, Wiley Company: Berlin, Germany, 2002. [Google Scholar]
- Kindmann, R.; Ludwig, C. Plastische tragfähigkeit von gewalzten und geschweißten I-Querschnitten. Stahlbau 2014, 86, 890–904. [Google Scholar] [CrossRef]
- Wolf, C.; Frickel, J. QST-TSV-I. Program. Lehrstuhl für Stahl- und Verbundbau. Prof. Dr.-Ing. R. Kindmann. Ruhr-Universität Bochum. 2002. Available online: https://www.kindmann.de/downloads/file/1-rubstahl-programme (accessed on 13 July 2022).
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Agüero, A.; Baláž, I.; Koleková, Y. Improved Interaction Formula for the Plastic Resistance of I- and H-Sections under a Combination of Bending Moments My,Ed, Mz,Ed, and Bimoment BEd. Appl. Sci. 2022, 12, 7888. https://doi.org/10.3390/app12157888
Agüero A, Baláž I, Koleková Y. Improved Interaction Formula for the Plastic Resistance of I- and H-Sections under a Combination of Bending Moments My,Ed, Mz,Ed, and Bimoment BEd. Applied Sciences. 2022; 12(15):7888. https://doi.org/10.3390/app12157888
Chicago/Turabian StyleAgüero, Antonio, Ivan Baláž, and Yvona Koleková. 2022. "Improved Interaction Formula for the Plastic Resistance of I- and H-Sections under a Combination of Bending Moments My,Ed, Mz,Ed, and Bimoment BEd" Applied Sciences 12, no. 15: 7888. https://doi.org/10.3390/app12157888
APA StyleAgüero, A., Baláž, I., & Koleková, Y. (2022). Improved Interaction Formula for the Plastic Resistance of I- and H-Sections under a Combination of Bending Moments My,Ed, Mz,Ed, and Bimoment BEd. Applied Sciences, 12(15), 7888. https://doi.org/10.3390/app12157888