Abstract
To investigate the development mechanism of sectional plastic stress and biaxial bending moments of H-section steel members prior to local buckling subjected to monotonic and cyclic loading, extensive parametric analysis models were established in ABAQUS. These models explicitly accounted for different axial force ratios, plate width-thickness ratios under different loading angles, verifying the applicability against existing experimental data. Based on the results of finite element analysis, the effects of various factors on the development of normal stresses in the cross-section were thoroughly investigated. A semi-empirical semi-theoretical calculation model was established to address biaxial loading in H-section steel members, considering bidirectional displacement, the form of normal stress distribution, and the relationship between the biaxial bending moments. By comparing the model with finite element results, it was observed that the model effectively predicted the progression of biaxial bending moments development subjected to biaxial loading in H-section steel members. This model provides a more convenient design approach for considering the partial plastic development of the cross-section in bidirectional flexural design.
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References
Baptista, A. M. (2012). Resistance of steel I-sections under axial force and biaxial bending. Journal of Constructional Steel Research, 72, 1–11. https://doi.org/10.1016/j.jcsr.2011.07.013
Baptista, A. M., & Muzeau, J.-P. (2006). Analytical formulation of the elastic–plastic behaviour of bi-symmetrical steel shapes. Journal of Constructional Steel Research, 62(9), 872–884. https://doi.org/10.1016/j.jcsr.2006.01.001
Cheng, X., Chen, Y., Niu, L., & Nethercot, D. A. (2018). Experimental study on H-section steel beam-columns under cyclic biaxial bending considering the effect of local buckling. Engineering Structures, 174, 826–839. https://doi.org/10.1016/j.engstruct.2018.08.001
Cheng, X., Du, H., Shi, X., & Mansour, M. (2023). Ultimate biaxial bending resistance of H-section steel members under different loading paths. Journal of Constructional Steel Research, 200, 107678. https://doi.org/10.1016/j.jcsr.2022.107678
Cheng, X., Wang, X., Zhang, C., & Duan, D. (2021). Study on ultimate capacity of steel H-section members under combined biaxial bending and axial force. International Journal of Steel Structures, 21(5), 1804–1822. https://doi.org/10.1007/s13296-021-00536-4
Eurocode 3: Design of steel structures-Part 1–1: General rules and rules for buildings. (2005). In. Brussels.
Gardner, L. (2008). The continuous strength method. Proceedings of the Institution of Civil Engineers - Structures and Buildings, 161(3), 127–133. https://doi.org/10.1680/stbu.2008.161.3.127
Goto, Y., Ebisawa, T., Lu, X., & Lu, W. (2015). Ultimate state of thin-walled circular steel columns subjected to biaxial horizontal forces and biaxial bending moments caused by bidirectional seismic accelerations. Journal of Structural Engineering, 141(4), 04014122. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001067
Guerrero, N., Marante, M. E., Picón, R., & Flórez-López, J. (2007). Model of local buckling in steel hollow structural elements subjected to biaxial bending. Journal of Constructional Steel Research, 63(6), 779–790. https://doi.org/10.1016/j.jcsr.2006.08.006
Jarquio, P. E. R. V. (2007). Structural analysis: The analytical method. CRC Press.
Miranda, E., Eads, L., Davalos, H., & Lignos, D. (2017). Assessment of the probability of collapse of structures under earthquakes. https://infoscience.epfl.ch/record/224507/files/2441.pdf
Salem, A. H., El Aghoury, M., Fayed, M. N., & El Aghoury, I. M. (2009). Ultimate capacity of axially loaded thin-walled tapered columns with doubly symmetric sections. Thin-Walled Structures, 47(8), 931–941. https://doi.org/10.1016/j.tws.2009.02.011
Stefano, M. D., & Faella, G. (1996). An evaluation of the inelastic response of systems under biaxial seismic excitations. Engineering Structures, 18(9), 724–731. https://doi.org/10.1016/0141-0296(95)00216-2
Tao, Z., & Han, L. (2000). Theoretical analysis and simplified calculation of concrete filled square steel tubular member subjected to axial compression and biaxial bending. Steel Construction (Chinese & English), 01, 42–46.
Watanabe, E., Sugiura, K., Nagata, K., & Kitane, Y. (1998). Performances and damages to steel structures during the 1995 Hyogoken-Nanbu earthquake. Engineering Structures, 20(4), 282–290. https://doi.org/10.1016/S0141-0296(97)00029-1
Winkler, R., Kindmann, R., & Knobloch, M. (2019). Assessment of the plastic capacity of I-shaped cross-sections according to the partial internal forces method. Engineering Structures, 191, 740–751. https://doi.org/10.1016/j.engstruct.2019.04.071
Yan, Z., Wang, D., & Sheng, H. (2003). Application of3D nonlinear beam elements of concrete filled steel tube. Journal of Harbin Institute of Technology, 03, 334–337.
Yao, G.-H. (2006). Research on behaviour of concrete-filled steel tubes subjected to complicated loading states [Doctor, Fuzhou University].
Yun, X., Gardner, L., & Boissonnade, N. (2018). Ultimate capacity of I-sections under combined loading—Part 1: Experiments and FE model validation. Journal of Constructional Steel Research, 147, 408–421. https://doi.org/10.1016/j.jcsr.2018.04.016
Yun, X., Gardner, L., & Boissonnade, N. (2018a). Ultimate capacity of I-sections under combined loading—Part 2: Parametric studies and CSM design. Journal of Constructional Steel Research, 148, 265–274. https://doi.org/10.1016/j.jcsr.2018.05.024
Zeris, C. A., & Mahin, S. A. (1988b). Analysis of reinforced concrete beam-columns under uniaxial excitation. Journal of Structural Engineering, 114(4), 804–820. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:4(804)
Zhang, S., Liu, J., Wang, Y., & Guo, L. (2005). Hysteretic behavior of biaxially loaded high strength concrete-filled square hollow section beam-columns. Journal of Building Structures, 03, 9–18. https://doi.org/10.14006/j.jzjgxb.2005.03.002
Acknowledgements
The research was supported by the key project of the National Natural Science Foundation of China (No. 51978437), the Excellent Youth Cultivation Program of Shanxi Basic Research Plan (Grant No. 202103021222007) and Shanxi Provincial Basic Research Program (Free Exploration Category) (No. 20210302124119).
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Wang, T., Cheng, X. & Du, H. A Theoretical Calculation Model of H-Section Steel Members for Biaxial Bending Moments. Int J Steel Struct 24, 160–175 (2024). https://doi.org/10.1007/s13296-024-00807-w
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DOI: https://doi.org/10.1007/s13296-024-00807-w