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This paper presents a stress analysis of elements made of a steel cold-formed sigma cross-section, uniformly loaded in a plane parallel to the web and not passing through the shear centre. Such an application of a load very often occurs in engineering practice and corresponds to the application of a load to the upper flange of the cross-section. It usually result in an additional torsional moment. In this paper, special attention is paid to normal stresses from the bi-moment, and shear stresses from restrained and free torsion. The contribution of these stresses to the section utilization was evaluated on the example of a sigma cross-section with different thicknesses of the wall. Furthermore, the paper also included the stresses analysis concerning different load locations at the upper flange. All numerical calculations were made using analytical approach based on Vlasov beam theory.
Słowa kluczowe
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Rocznik
Tom
Strony
106--118
Opis fizyczny
Bibliogr. 26 poz., fig., tab.
Twórcy
autor
- Faculty of Civil and Transport Engineering, Poznań University of Technology, ul. Marii Skłodowskiej-Curie 5, 60-965 Poznań, Poland
autor
- Faculty of Civil and Transport Engineering, Poznań University of Technology, ul. Marii Skłodowskiej-Curie 5, 60-965 Poznań, Poland
autor
- Faculty of Civil and Transport Engineering, Poznań University of Technology, ul. Marii Skłodowskiej-Curie 5, 60-965 Poznań, Poland
Bibliografia
- 1. Rzeszut K. Stability of thin walled metal structures with clearances and initial imperfections. Wydawnictwo Politechniki Poznańskiej, Poznań, 2015.
- 2. Bródka J., Broniewicz M., Giżejowski M. Cold formed profiles. Rzeszów: Polskie Wydawnictwo Techniczne; 2006.
- 3. Vlasov V. Thin-walled elastic beams. Israel Program for Scientific Translations, Jerusalem, 1963.
- 4. Timoshenko S., Gere J. Theory of elastic stability. McGraw-Hill, New York, 1961.
- 5. Karman T.V., Sechler E.E., Donnell L.H. The strength of thin plates in compression. Trans. A.S.M.E. 1932; 54: 53–57.
- 6. American Iron and Steel Institute. Specification for the Design of Light Gage Steel Structural Members; 1946.
- 7. EN 1993-1-3: Eurocode 3 - Design of steel structures - Part 1–3: General rules – Suplementary rules for cold-formed members and sheeting.
- 8. Piechnik S. Thin-walled members. Politechnika Krakowska, Kraków, 1992.
- 9. Rutecki J. Strength of thin walled structeres. PWN, Warszawa, 1957.
- 10. Zhang P., Alam M. Compression tests of thin-walled cold-formed steel columns with Σ-shaped sections and patterned perforations distributed along the length. Thin-Walled Structures. 2022; 174: 109082.
- 11. Öztürk F., Mojtabaei S., Şentürk M., Pul S., Hajirasouliha I. Buckling behaviour of cold-formed steelsigma and lipped channel beam–column members. Thin-Walled Structures. 2022; 173: 108963.
- 12. Ren C., Liu X., He W., Dai L. Buckling analyses of cold-formed steel Sigma sections in purlin-sheeting systems subjected to uniformly distributed uplift loading. Structures. 2021; 34: 2262–2275.
- 13. Ciesielczyk K., Rzeszut K. Local and Distortional Buckling of Axially Loaded Cold Rolled Sigma Profiles. Acta Mechanica et Automatica. 2016; 10(3): 218–222.
- 14. Jun L., Rongying S., Hongxing H., Xianding J. Response of monosymmetric thin-walled Timoshenko beams to random excitations. International Journal of Solids and Structures. 2004; 41(22–23): 6023–6040.
- 15. Kovac M., Balaz I. Stability of centrically loaded members with monosymmetric cross-section at various boundary conditions. Journal of Constructional Steel Research. 2019; 153: 139–152.
- 16. Lin W., Hsiao K. More general expression for the torsional warping of a thin-walled open-section beam. International Journal of Mechanical Sciences. 2003; 45(5): 831–849.
- 17. Magnucki K., Szyc W., Stasiewicz P. Stress state and elastic buckling of a thin-walled beam with monosymmetrical open cross-section. Thin-Walled Structures. 2004; 42(1): 25–38.
- 18. Mohri F., Azrar L., Potier-Ferry M. Flexural–torsional post-buckling analysis of thin-walled elements with open sections. Thin-Walled Structures. 2001; 39(11): 907–938.
- 19. Mohri F., Azrar L., Potier-Ferry, M. Lateral post-buckling analysis of thin-walled open section beams. Thin-Walled Structures. 2002; 40(12): 1013–1036.
- 20. Dvorkin E., Celentano D., Cuitiño A., Gioia, G. A Vlasov beam element. Computers & Structures. 1989; 33(1): 187–196.
- 21. Pezeshky P., Sahraei A., Rong F., Sasibut S., Mohareb M. Generalization of the Vlasov theory for lateral torsional buckling analysis of built-up monosymmetric assemblies. Engineering Structures. 2020; 221: 111055.
- 22. Rajkannu J., Jayachandran S. Flexural-torsional buckling strength of thin-walled channel sections with warping restraint. Journal of Constructional Steel Research. 2020; 169: 106041.
- 23. Szychowski A. A theoretical analysis of the local buckling in thin-walled bars with open cross-section subjected to warping torsion. Thin-Walled Structures. 2014; 76: 42–55.
- 24. Sapountzakis E. Bars under Torsional Loading: A Generalized Beam Theory Approach. ISRN Civil Engineering. 2013; 2013: 1–39.
- 25. Föppl A. Vorlesungen über technische Mechanik: Festigkeitslehre. 1897; 3.
- 26. Profile Sigma - Profile Z, C, Σ - Pruszyński [Internet]. Profile Sigma - Profile Z, C, Σ - Pruszyński. 2022 [cited 7 November 2021]. Available from: https://pruszynski.com.pl/profile-sigma,prod,81,51.php.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-73054550-9f99-42a1-9bba-b0c59263628d