Version 1
: Received: 5 September 2024 / Approved: 6 September 2024 / Online: 6 September 2024 (09:39:42 CEST)
How to cite:
Aguero, A.; Balaz, I.; Hoglund, T.; Kolekova, Y. Plastic Design of Metal Thin-Walled Cross-Sections of Any Shape Under Any Combination of Internal Forces. Preprints2024, 2024090512. https://doi.org/10.20944/preprints202409.0512.v1
Aguero, A.; Balaz, I.; Hoglund, T.; Kolekova, Y. Plastic Design of Metal Thin-Walled Cross-Sections of Any Shape Under Any Combination of Internal Forces. Preprints 2024, 2024090512. https://doi.org/10.20944/preprints202409.0512.v1
Aguero, A.; Balaz, I.; Hoglund, T.; Kolekova, Y. Plastic Design of Metal Thin-Walled Cross-Sections of Any Shape Under Any Combination of Internal Forces. Preprints2024, 2024090512. https://doi.org/10.20944/preprints202409.0512.v1
APA Style
Aguero, A., Balaz, I., Hoglund, T., & Kolekova, Y. (2024). Plastic Design of Metal Thin-Walled Cross-Sections of Any Shape Under Any Combination of Internal Forces. Preprints. https://doi.org/10.20944/preprints202409.0512.v1
Chicago/Turabian Style
Aguero, A., Torsten Hoglund and Yvona Kolekova. 2024 "Plastic Design of Metal Thin-Walled Cross-Sections of Any Shape Under Any Combination of Internal Forces" Preprints. https://doi.org/10.20944/preprints202409.0512.v1
Abstract
The introduction provides an overview of beginning the development of a plastic design of metal
thin-walled cross-sections. This large study investigates in detail together 14 steel and four extruded
aluminium cross-sections. Six groups of various shaped cross-sections that consist of: four I-shaped
doubly symmetric sections (two I-sections, one I-section with lips, one H-section); three
monosymmetric sections with axis of symmetry z (monosymmetric I-section, T-section, diamond
section); four monosymmetric sections with axis of symmetry y (two channels, channel with inside
lips, channel with outside lips); two point symmetric sections (Z-section with and without lips); four
asymmetric sections (L-profile, sigma section, two closed sections: oblique and irregular sections;
non-warping sections along midline, but with negligible warping along the element's thicknesses: Tsection and L-profile are included in the above groups. Four extruded aluminium cross-sections are: I
200a section, diamond section and closed oblique and irregular sections. For all 18 cross-sections,
the plastic section moduli of three kinds were calculated: Wpl,y,nB, Wpl,z,nB for bimoment not
considered to be constraint; Wpl,y, Wpl,z, Wpl,wfor bimoment considered to be restraint; maximum
values Wpl,y,max, Wpl,z,max, Wpl,w,max.
The values of cross-section plastic resistances Npl, Mpl,y,Rd, Mpl,z,Rd and Bpl are also calculated in
numerical examples. The values of cross-section properties are calculated in different ways to verify
the correctness of the results. The following ways of calculations are used: the rules in Eurocode EN
1993-1-1: 2022; own MathCad programmes; own software.
Recommendations for educational institutes and designers in practice are provided, including
simple formulae for all the cross-sectional properties for the doubly and monosymmetric I-shaped
sections, channels and Z-sections. Formulae are presented in six tables containing formulae in the
dimensionless form, which are useful for parametrical studies and formulae for direct designs.
The background of the Eurocode rules in EN 1993-1-1: 2022 is explained together with
recommendations about how to avoid problems with using them.
Keywords
plastic design; thin-walled cross-sections; Eurocodes; EN 1993-1-1:2022; EN 1999-1- 1:2023; any cross-section shapes; any combination of internal forces; free available programmes
Subject
Engineering, Civil Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
