Distortional buckling analysis of steel-concrete composite box beams considering effect of stud rotational restraint under hogging moment

Abstract

Restrained distortional buckling is an important buckling mode of steel-concrete composite box beams (SCCBB) under the hogging moment. Rotational and lateral deformation restraints of the bottom plate by the webs are essential factors affecting SCCBB distortional buckling. Based on the stationary potential energy principle, the analytical expressions for the rotational restraint stiffness (RRS) of the web upper edge as well as the RRS and the lateral restraint stiffness (LRS) of the bottom plate were derived. Also, the SCCBB critical moment formula under the hogging moment was derived. Using twenty specimens, the theoretical calculation method is compared with the finite-element method. Results indicate that the theoretical calculation method can effectively and accurately reflect the restraint effect of the studs, top steel flange, and other factors on the bottom plate. Both the RRS and the LRS have a nonlinear coupling relationship with the external loads and the RRS of the web’s upper edge. Under the hogging moment, the RRS of the web upper edge has a certain influence on the SCCBB distortional buckling critical moment. With increasing RRS of the web upper edge, the SCCBB critical moment increases at first and then tends to be stable.

Keywords

steel-concrete composite box beams / distortional buckling / elastic rotational restraint boundary / lateral restraint stiffness / buckling moment

References

[1] RezaeianH, CliftonG C, LimJ B P. Failure modes for composite steel deck diaphragms subjected to in-plane shear forces–A review [J]. Engineering Failure Analysis, 2020, 107: 104199

[2] ZhuZ, ZhangL, BaiY, et al.. Mechanical performance of shear studs and application in steel-concrete composite beams [J]. Journal of Central South University, 2016, 23(10): 2676-2687

[3] VrceljZ, BradfordM A. Inelastic restrained distortional buckling of continuous composite T-beams [J]. Journal of Constructional Steel Research, 2009, 65(4): 850-859

[4] ChangG, MengY, NiuBResearch of cracking moment in negative moment area of the steel-concrete continuous beam [C], 2017, Paris, France, Atlantis Press

[5] LiaoW, LiuD, DaiBAnalysis of uplift force of steel-concrete composite beams under negative moment [C], 2018, Paris, France, Atlantis Press

[6] NieJ. Global shear buckling of corrugated steel plates with edges elastically restrained against rotation [J]. Engineering Mechanics, 2008, 25(3): 1-7(in Chinese)

[7] ChenS, JiaY. Numerical investigation of inelastic buckling of steel-concrete composite beams prestressed with external tendons [J]. Thin-Walled Structures, 2010, 48(3): 233-242

[8] ZhouW, YanW. Refined nonlinear finite element modelling towards ultimate bending moment calculation for concrete composite beams under negative moment [J]. Thin-Walled Structures, 2017, 116201-211

[9] GoncalvesR, CamotimD. Steel-concrete composite bridge analysis using generalised beam theory [J]. Steel and Composite Structures, 2010, 10(3): 223-243

[10] HenriquesD, GonçalvesR, CamotimD. GBT-based finite element to assess the buckling behaviour of steel-concrete composite beams [J]. Thin-Walled Structures, 2016, 107: 207-220

[11] AmaralT V, OliveiraJ P S, CalenzaniA F G, et al.. Lateral-distortional buckling of continuous steel-concrete composite beam [J]. Revista IBRACON De Estruturas e Materiais, 2018, 11(4): 719-756

[12] SilvaC C, CaldasR B, FakuryR H, et al.. Web rotational stiffness of continuous steel-concrete composite castellated beams [J]. Frattura Ed Integrità Strutturale, 2019, 13(50): 264-275

[13] DiasJ V F, OliveiraJ P S, CalenzaniA F G, et al.. Elastic critical moment of lateral-distortional buckling of steel-concrete composite beams under uniform hogging moment [J]. International Journal of Structural Stability and Dynamics, 2019, 19(7): 1950079

[14] LeeD S, BradfordM A. Inelastic lateral-distortional buckling of continuously restrained rolled I-beams [J]. Steel and Composite Structures, 2002, 24297-314

[15] JIANG Li-zhong, SUN Lin-lin. The lateral buckling of steel-concrete composite box-beams [J]. Journal of HUST. (Urban Science Edition), 2008(3): 5–9. (in Chinese)

[16] JiangL, QiJ, ScanlonA, et al.. Distortional and local buckling of steel-concrete composite box-beam [J]. Steel & Composite Structures, 2013, 14(3): 243-265

[17] SvenssonS E. Lateral buckling of beams analysed as elastically supported columns subject to a varying axial force [J]. Journal of Constructional Steel Research, 1985, 5(3): 179-193

[18] WilliamsF W, JemahA K. Buckling curves for elastically supported columns with varying axial force, to predict lateral buckling of beams [J]. Journal of Constructional Steel Research, 1987, 7(2): 133-147

[19] GoltermannP, SvenssonS E. Lateral distortional buckling: Predicting elastic critical stress [J]. Journal of Structural Engineering, 1988, 114(7): 1606-1625

[20] RonaghH R. Progress in the methods of analysis of restricted distortional buckling of composite bridge girders [J]. Progress in Structural Engineering and Materials, 2001, 3(2): 141-148

[21] YeJ, ChenW. Elastic restrained distortional buckling of steel-concrete composite beams based on elastically supported column method [J]. International Journal of Structural Stability and Dynamics, 2013, 13(1): 1350001

[22] ChenW, YeJ. Elastic lateral and restrained distortional buckling of doubly symmetric i-beams [J]. International Journal of Structural Stability and Dynamics, 2010, 105983-1016

[23] GuoF, ZhouS, JiangL. Lateral buckling analysis of the steel-concrete composite beams in negative moment region [J]. Advances in Materials Science and Engineering, 2015, 2015763634

[24] ZhouW, LiS, JiangL, et al.. Distortional buckling calculation method of steel-concrete composite box beam in negative moment area [J]. Steel and Composite Structures, 2015, 19(5): 1203-1219

[25] ZhouW, LiS, HuangZ, et al.. Distortional buckling of I-steel concrete composite beams in negative moment area [J]. Steel and Composite Structures, 2016, 20(1): 57-70

[26] ZhouW, JiangL, KangJ, et al.. Distortional buckling analysis of steel-concrete composite girders in negative moment area [J]. Mathematical Problems in Engineering, 2014, 2014635617

[27] TimoshenkoSTheory of elastic stability [M], 20092nd EditionNew York, Dover Publications Inc

[28] JamesM, BarryJMechanics of materials [M], 20087th Edition ed.Toronto, CL Engineering

[29] ZhouW, JiangL, LiuZ, et al.. Closed-form solution for shear lag effects of steel-concrete composite box beams considering shear deformation and slip [J]. Journal of Central South University, 2012, 19(10): 2976-2982

[30] ZhouW, JiangL, LiuZ, et al.. Closed-form solution to thin-walled box girders considering effects of shear deformation and shear lag [J]. Journal of Central South University, 2012, 19(9): 2650-2655