Lateral-torsional buckling of box beam with corrugated steel webs

Abstract

Corrugated steel web is folded along the longitudinal direction and has the mechanical properties such as axial compression stiffness corrugation effect, shear modulus corrugation effect, similar to that of an accordion. In order to study the lateral-torsional buckling of box beams with corrugated steel webs (BBCSW) under the action of bending moment load, the neutral equilibrium equation of BBCSW under the action of bending moment load is derived through the stationary value theory of total potential energy and further, along with taking Kollbrunner-Hajdin correction method and the mechanical properties of the corrugated web into consideration. The analytical calculation formula of lateral-torsional buckling critical bending moment of BBCSW is then obtained. The lateral-torsional buckling critical bending moment of 96 BBCSW test specimens with different geometry dimensions are then calculated using both the analytical calculation method and ANSYS finite element method. The results show that the analytical calculation results agree well with the numerical calculation results using ANSYS, thus proving the accuracy of the analytical calculation method and model simplification hypothesis proposed in this paper. Also, compared with the box beams with flat steel webs (BBFSW) with the same geometry dimensions as BBCSW, within the common range of web space-depth ratio and web span-depth ratio, BBCSW’s lateral-torsional buckling critical bending moment is larger than that of BBFSW. Moreover, the advantages of BBCSW’s stability are even more significant with the increase of web space-depth ratio and web depth-thickness ratio.

Keywords

box beams with corrugated steel webs / lateral-torsional buckling / analytical solution / accordion effect / Kollbrunner-Hajdin method

References

[1] RosignoliM. Prestressed concrete box girder bridges with folded steel plate webs [J]. Proceedings of the Institution of Civil Engineers: Structures and Buildings, 1999, 134(1): 77-85

[2] Sayed-AhmedE Y. Behaviour of steel and (or) composite girders with corrugated steel webs [J]. Canadian Journal of Civil Engineering, 2001, 36(2): 656-672

[3] ElM A, LoovR E. Corrugated steel webs for prestressed concrete girders [J]. Materials and Structures, 2003, 36(2): 127-134

[4] JiangR-J, KwongA F T, XiaoY. Prestressed concrete girder bridges with corrugated steel webs [J]. Journal of Structural Engineering, 2014, 141(2): 4014108

[5] DriverR G, AbbasH H, SauseR. Shear behavior of corrugated web bridge girders [J]. Journal of Structural Engineering, 2006, 1322195-203

[6] DenanF, OsmanM H, SaadS. The study of lateral torsional buckling behavior of beam with trapezoid web steel section by experimental and finite element analysis [J]. International Journal of Research and Reviews in Applied Sciences, 2010, 3(2): 232-240

[7] LINDNER J. Lateral torsional buckling of beams with trapezoidally corrugated webs [C]// Proceedings of the 4th International Colloquium on Stability of Steel Structures. Budapest, Hungary, 1990: 305–310.

[8] MoonJ H, YiJ W, ChoiB H, LeeH E. Evaluation of lateral-torsional buckling strength of I-girder with corrugated web under uniform bending [J]. Journal of Korean Society of Steel Construction, 2007, 19(5): 463-472

[9] MoonJ, YiJ W, ChoiB H, LeeH E. Lateral-torsional buckling of I-girder with corrugated webs under uniform bending [J]. Thin-Walled Structures, 2009, 47(1): 21-30

[10] Journal of the Korean Society of Civil Engineers, 2012, 32(3A

[11] Sayed-AhmedE Y. Lateral torsion-flexure buckling of corrugated web steel girders [J]. Proceedings of the Institution of Civil Engineers: Structures and Buildings, 2005, 1581): 53-69

[12] IBRAHIM S A. Comparative study on lateral torsional buckling of tubular plate girders using different web systems [C]// Elerenth International Colloquium on Structural and Geotechincal Engineering Icsge, Cairo-Egypt: 2005.

[13] IbrahimS A. Lateral torsional buckling strength of unsymmetrical plate girders with corrugated webs [J]. Engineering Structures, 2014, 81: 123-134

[14] LimN H, ParkN H, KangY J, SungI H. Elastic buckling of I-beams under linear moment gradient [J]. International Journal of Solids and Structures, 2003, 40(21): 5635-5647

[15] PimentaR J, QueirozG, DinizS M C. Reliability-based design recommendations for sinusoidal web beams subjected to lateral-torsional buckling [J]. Engineering Structures, 2015, 84: 195-206

[16] KazemiN K H. Lateral bracing of I-girder with corrugated webs under uniform bending [J]. Journal of Constructional Steel Research, 2010, 66(12): 1502-1509

[17] TarasA, GreinerR. Development of consistent buckling curves for torsional and lateral-torsional buckling [J]. Steel Construction, 2008, 1(1): 42-50

[18] DeO J P S, CalenzaniA F G, FakuryR H, FerreiraW G. Elastic critical moment of continuous composite beams with a sinusoidal-web steel profile for lateral-torsional buckling [J]. Engineering Structures, 2016, 113: 121-132

[19] NguyenN D, HanS R, KimJ H, KimS N, KangY J. Moment modification factors of I-girder with trapezoidal web corrugations under moment gradient [J]. Thin-Walled structures, 2012, 57: 1-12

[20] NguyenN D, HanS R, LeeG S, KangY J. Moment modification factor of I-girder with trapezoidal web corrugations considering concentrated load height effects [J]. Journal of Constructional Steel Research, 2011, 67(11): 1773-1787

[21] NguyenN D, KimS N, HanS R, KangY J. Elastic lateral-torsional buckling strength of I-girder with trapezoidal web corrugations using a new warping constant under uniform moment [J]. Engineering Structures, 2010, 32(8): 2157-2165

[22] NguyenN D, Nguyen-VanH, HanS Y, ChoiJ H, KangY. Elastic lateral-torsional buckling of tapered I-girder with corrugated webs [J]. International Journal of Steel Structures, 2013, 13(1): 71-79

[23] ZhongH, LiuZ, QinH, LiuY. Static analysis of thin-walled space frame structures with arbitrary closed cross-sections using transfer matrix method [J]. Thin-Walled Structures, 2018, 123: 255-269

[24] NieJ-GSteel-concrete composite beam structural bridge [M], 2011, Beijing, China Communication Press(in Chinese)

[25] HuangL, HikosakaH, KomineK. Simulation of accordion effect in corrugated steel web with concrete flanges [J]. Computers and Structures, 2004, 82(23): 2061-2069

[26] HeJ, LiuY-Q, ChenA-R. Bending behavior of concrete-encased composite I-girder with corrugated steel web [J]. Thin-Walled Structures, 2014, 74: 70-84

[27] DriverR G, AbbasH H, SauseR. Shear behavior of corrugated web bridge girders [J]. Journal of Structural Engineering, 2006, 132(2): 195-203

[28] JohnsonR P, CafollaJ, BernardC. Corrugated webs in plate girders for bridges [J]. Proceedings of the Institution of Civil Engineers-Structures and Buildings, 1997, 122(2): 157-164

[29] SamantaA, MukhopadhyayM. Finite element static and dynamic analyses of folded plates [J]. Engineering Structures, 1990, 21(3): 277-287

[30] ZhouW-B, JiangL-Z. Distortional buckling of cold-formed lipped channel columns subjected to axial compression [J]. Steel and Composite Structures, 2017, 23(3): 331-338

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

[32] JiangL-Z, FengY-L, ZhouW-B, HeB-B. Analysis on natural vibration characteristics of steel-concrete composite truss beam [J]. Steel and Composite Structures, 2018, 26(1): 79-87

[33] ZhangZ, ZhouW-L, ZhouD, XuX-L. Elasticity solution of laminated beams with temperature dependent material properties under a combination of uniform thermo-load and mechanical loads [J]. Journal of Central South University, 2018, 25(10): 2537-2549

[34] YuY-L, YinS-P, NaM-W. Bending performance of TRC-strengthened RC beams with secondary load under chloride erosion [J]. Journal of Central South University, 2019, 26(1): 196-206

[35] GB50017-2003Steel structures design code [S], 2003, Beijing, China Planning Press(in Chinese)

[36] GB50011-2010Code for seismic design of building [S], 2010, Beijing, China Planning Press(in Chinese)

[37] ChenSSteel structure-Building steel structure design [M], 2014, Beijing, China Building Industry Press(in Chinese)

[38] ShenPDesign of high rise building [M], 2011, Beijing, China Building Industry Press(in Chinese)

[39] NieJ-G, FanJ-S, CaiC S. Stiffness and deflection of steel-concrete composite beams under negative bending [J]. Journal of Structural Engineering, 2004, 130(11): 1842-1851