Global Buckling of a Thin-Walled T-Frame with Consideration of the Shear Effect

Downloads

Authors

  • Krzysztof Magnucki Lukasiewicz Research Network, Poznan Institute of Technology, Poland ORCID ID 0000-0003-2251-4697
  • Paweł Jasion Institute of Applied Mechanics, Poznan University of Technology, Poland

Abstract

This work concerns a global elastic buckling problem of a thin-walled T-frame with consideration of the shear effect. A novel approach was used to account for this effect, namely, the non-linear shear deformation theory, which gives as a result the shear deformation function describing the behaviour of the beam cross section. This thin-walled T-frame consists of a horizontal beam and a vertical column made of the same standard H-beams. The shape of this standard H-beam and the dimensionless deformation function of the plane cross section, being the result of the shear effect, are analytically described. The buckling problem of the frame is analytically formulated and solved. The critical loads of exemplary beams are analytically determined. Moreover, a numerical model, based on the finite element method (FEM), of the frame is elaborated and the critical loads of exemplary frames are determined. Consequently, the research results obtained by both methods are compared, and the advantages of the proposed approach are discussed.

Keywords:

elastic buckling, frame, H-beam, thin-walled beam, shear effect

References


  1. Trahair N.S., Bradford M.A., Nethercot D.A., Gardner L., The Behaviour and Design of Steel Structures to EC3, 4 ed., Taylor & Francis Group, London, 2008.

  2. Basaglia C., Camotim D., Silvestre N., Global buckling analysis of plane and space thin-walled frames in the context of GBT, Thin-Walled Structures, 46(1): 79–101, 2008, https://doi.org/10.1016/j.tws.2007.07.007

  3. Basaglia C., Camotim D., Silvestre N., GBT-based local, distortional and global buckling analysis of thin-walled steel frames, Thin-Walled Structures, 47(11): 1246–1264, 2009, https://doi.org/10.1016/j.tws.2009.04.003

  4. Camotim D., Basaglia C., Silvestre N., GBT buckling analysis of thin-walled steel frames: A state-of-the-art report, Thin-Walled Structures, 48(10–11): 726–743, 2010, https://doi.org/10.1016/j.tws.2009.12.003

  5. Magnucka-Blandzi E., Magnucki K., Buckling and optimal design of cold-formed thin-walled beams: Review of selected problems, Thin-Walled Structures, 49(5): 554–561, 2011, https://doi.org/10.1016/j.tws.2010.09.011

  6. Magnucki K., Milecki S., Elastic buckling of a thin-walled rectangular frame under in-plane compression, Thin-Walled Structures, 116: 326–332, 2017, https://doi.org/10.1016/j.tws.2017.03.007

  7. Nagy Z., Kelemen A., Nedelcu M., The influence on portal frame buckling of different cladding systems – A comparative numerical study considering stressed skin effect, Thin-Walled Structures, 182(Part B): 110310, 2023, https://doi.org/10.1016/j.tws.2022.110310

  8. Krystosik P., On the columns buckling length of unbraced steel frames with semi-rigid joints, Archives of Civil Engineering, 67(1): 539–556, 2021, https://doi.org/10.24425/ace.2021.136488

  9. Zhang M., Xie X., Gao X., Pan Y., Parke G., Study on failure criterion of thin-walled steel frame structures based on the ESED parameter, Thin-Walled Structures, 161: 107357, 2021, https://doi.org/10.1016/j.tws.2020.107357

  10. Liu Y.Z., Yang Y.B., C X.H., Guo D.Z., Lateral-distortional buckling of frames composed of non-aligned I-members by a simple distortional beam element considering angling effect, Thin-Walled Structures, 202: 112146, 2024, https://doi.org/10.1016/j.tws.2024.112146

  11. Giżejowski M.A., Szczerba R.B., Stachura Z., Gajewski M.D., Buckling resistance of quasi-straight H-section beam-columns under unequal end moments, Archives of Civil Engineering, 67(1): 323–349, 2021, https://doi.org/10.24425/ace.2021.136476

  12. Zhou Y., Ning S., Huang D., Li Y., Refined plastic hinge method for steel frames with local–global interactive buckling, Thin-Walled Structures, 181: 110013, 2022, https://doi.org/10.1016/j.tws.2022.110013

  13. Wen Y., He W.J., Zhan W., Li B.H., Full beam formulation for the lateral torsional buckling analysis of elastic frames by considering the structural detail of beam-to-column joint, Thin-Walled Structures, 183: 110414, 2023, https://doi.org/10.1016/j.tws.2022.110414

  14. Yang Y., Hui Y., Li P., Yang Y., Huang Q., Giunta G., Belouettar S., Hu H., Global/local buckling analysis of thin-walled I-section beams via hierarchical one-dimensional finite elements, Engineering Structures, 280: 115705, 2023, https://doi.org/10.1016/j.engstruct.2023.115705

  15. Xiang Y., Zhou X., Shi Y., Zhou J., Ke K., Deng F., Study on the seismic performance of cold-formed thin-walled steel frame with K-shaped braced shear panel, Thin-Walled Structures 184: 110449, 2023, https://doi.org/10.1016/j.tws.2022.110449

  16. Juza J., Jandera M., Kremen T., Experimental investigation on the square and rectangular hollow section stainless steel portal frames, Thin-Walled Structures, 189: 110897, 2023, https://doi.org/10.1016/j.tws.2023.110897

  17. Magnucki K., Bending of a five-layered composite beam with consideration of two analytical models, Archive of Mechanical Engineering, 71(1): 27–46, 2024, https://doi.org/10.24425/ame.2024.149188

  18. Magnucki K., Free flexural vibrations of standard wide-flange H-beams with consideration of the shear effect, Rail Vehicles/Pojazdy Szynowe, (1–2): 46–50, 2024, https://doi.org/10.53502/RAIL-189244

Other articles by the same author(s)

1 2 > >>