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Plastic Design of Metal Thin-Walled Cross-Sections of Any Shape Under Any Combination of Internal Forces
Department of Continuous Medium Mechanics and Theory of Structures, Universitat Politècnica de València, c/Camino de Vera s/n, Valencia, 46022, Spain, c/Camino de Vera s/n.
Department of Metal and Timber Structures, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Bratislava, 810 05, Slovakia.
KTH, School of Architecture and the Built Environment (ABE), Civil and Architectural Engineering, Structural Engineering and Bridges.ORCID iD: 0009-0003-7752-8508
Department of Structural Mechanics, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Bratislava, 810 05, Slovakia.
2024 (English)In: Buildings, E-ISSN 2075-5309, Vol. 14, no 12, article id 3890Article in journal (Refereed) Published
Abstract [en]

A short tribute to pioneers in the development of the plastic design of metal thin-walled cross-sections is presented. This large study investigates altogether fourteen steel and four extruded aluminum cross-sections in detail. Six groups of the cross-sections with various shapes consist of four I-shaped doubly symmetric sections with or without lips; three monosymmetric sections with an axis of symmetry z including T- and diamond sections; four monosymmetric channels with or without lips; two point-symmetric Z-sections; and four asymmetric sections. The four extruded aluminum cross-sections are an I 200a section, a diamond section, and closed oblique and irregular sections. For all 18 cross-sections, the plastic section moduli of three kinds were calculated, namely Wpl,y,nB and Wpl,z,nB for bimoment not considered as a constraint; Wpl,y, Wpl,z, and Wpl,w for bimoment considered as a restraint; and maximum values Wpl,y,max, Wpl,z,max, and Wpl,w,max. The values of cross-section plastic resistances Npl, Mpl,y,Rd, Mpl,z,Rd, and Bpl are calculated in numerical examples too. The values of cross-section properties are calculated in different ways to verify the correctness of the results. The following methods of calculation are used: the rules given in Eurocode EN 1993-1-1:2022; MathCad programs; and freeware. Recommendations for educational institutes and designers in practice are given, including simple formulae for all cross-sectional properties for doubly and monosymmetric I-shaped sections, channels, and Z-sections. The formulae are presented in three tables containing formulae in dimensionless form convenient for parametrical studies and formulae for direct design. The background of the Eurocode rules given in EN 1993-1-1:2022 is explained together with recommendations for how to avoid the problems with using them.

Place, publisher, year, edition, pages
MDPI AG , 2024. Vol. 14, no 12, article id 3890
Keywords [en]
any combination of internal forces, any cross-section shapes, EN 1993-1-1:2022, EN 1999-1-1:2023, Eurocodes, free available programs, plastic design, thin-walled cross-sections
National Category
Building Technologies Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-358289DOI: 10.3390/buildings14123890ISI: 001387300000001Scopus ID: 2-s2.0-85213244205OAI: oai:DiVA.org:kth-358289DiVA, id: diva2:1925489
Note

QC 20250114

Available from: 2025-01-08 Created: 2025-01-08 Last updated: 2025-01-20Bibliographically approved

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Höglund, Torsten

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