Comparative analysis of the buckling factor of the steel arch bridges
Abstract
The dominant axial compressive force makes the arches become extremely sensitive to the loss of stability. Their stability analysis was first initiated in the late 20th century. The first stability research of single arches was carried out inplane at the elastic stage of the arches. Later the behaviour of arches in the elastic-plastic stage, the initial stresses and geometric imperfections before the arch buckles were also assessed, the effective length of the arches and the out-of-the-plane arch strength conditions were being identified as well as the effect of the temperature on the stability of the arch. The expression of the critical force of the arches connected by vertical hangers with a chord and its dependant elements were defined by Petersen in the late 20th century. The design methodology for the formal design of arches connected by vertical hangers with a stiffening girder is presented in Annex D of the Eurocode 1993-2. Nevertheless, the area of application and the main assumptions are not defined. The first part of the comparative analysis identifies the assumptions for arch bridge modelling under which the buckling factor β dependence curves in Figure D.4 of Annex D to Eurocode 1993-2 can be applied. In the second part a comparison of the the normative βEC factor value and the one established by the numerical experiment with the increase in the number of hangers and change in the hanger network form is presented.
Keyword : buckling length factor, comparative analysis, steel bridge, network arch
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References
Backer, H. D., Outtier, A., & Bogaert, Ph. V. (2014). Buckling design of steel tied-arch bridges. Journal of Constructional Steel Research, 79, 159-167. https://doi.org/10.1016/j.jcsr.2014.09.004
Brunn, B., & Schanack, F. (2003, August). Calculation of a double track railway network arch bridge applying the European standards. Technische Universität Dresden, Grimstad.
Brunn, B., Schanack, F., & Steimann, U. (2004). Network arches for railway bridges. In P. Roca & C. Molins (Eds.), Advances in assessment, structural design and construction. Paper presented at the Arch bridges IV, International Center for Numerical Methods in Engineering (pp. 1-9). Barcelona.
Galambos, T. V. (Ed.). (1988). Guide to stability design criteria for metal structures (4th ed., pp. 669-703). New York, NY, USA: John Wiley & Sons.
Graβe, W., Teich, S., Tveit, P., & Wendelin, S. (2004). Network arches for road bridges. In Advances in assessment, structural design and construction. Paper presented at the Arch bridges IV, International Center for Numerical Methods in Engineering (pp. 1-10). Barcelona.
Guo, Z., Wang, Y., Lu, N., Zhang, H., & Zhu, F. (2016). Behaviour of a two-pinned steel arch at elevated temperatures. Thin-Walled Structures, 107, 248-256. https://doi.org/10.1016/j.tws.2016.06.015
Heidarpour, A., Bradford, M. A., & Othman, K. A. M. (2011). Thermoelastic flexural–torsional buckling of steel arches. Journal of Constructional Steel Research, 67, 1806-1820. https://doi.org/10.1016/j.jcsr.2011.05.005
Larssen, R. M., & Jakobsen, S. E. (2011). Brandangersundet bridge – a slender and light network arch, taller, longer, ligher. Paper presented at the IABSE-IASS-2011 London Symposium Report, 20–23 September, London, United Kingdom.
Lebet, J.-P., & Hirt, M. (2013). Steel bridges: conceptual and structural design of steel and steel-concrete composite bridges (pp. 461-488). New York, NY, USA: Taylor and Francis Group.
Lietuvos Standartizacijos departamentas. (2007). Eurokodas 3. Plieninių konstrukcijų projektavimas. 2 dalis. Plieniniai tiltai (LST EN 1993-2:2007/NA:2010). Retrieved from https://lsd.lt/index.php?1323599487
Pi, Y.-L., & Trahair, N. S. (1999). In-plane buckling and design of steel arches. Journal of Structural Engineering, ASCE, 125(11), 1291-1298. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:11(1291)
Pi, Y.-L., & Bradford, M. A. (2004). In-plane strength and design of fixed steel I-section arches. Engineering Structures, 26(3), 291-301. https://doi.org/10.1016/j.engstruct.2003.09.011
Pi, Y.-L., & Bradford, M. A. (2006). Elastic flexural-torsional buckling of circular arches under uniform compression and effects of load height. Journal of Mechanics of Materials and Structures, 1(7), 1235-1255. https://doi.org/10.2140/jomms.2006.1.1235
Pi, Y.-L., & Bradford, M. A. (2014). Effects of nonlinearity and temperature field on in-plane behavior and buckling of crown-pinned steel arches. Engineering Structures, 74, 1-12. https://doi.org/10.1016/j.engstruct.2014.05.006
Pi, Y.-L., & Bradford, M. A., & Tin-Loi, F. (2008). In-plane strength of steel arches. Advanced Steel Construction, 4(4), 306-322. https://doi.org/10.18057/IJASC.2008.4.4.3
Romeijn, A., & Bouras, C. (2008). Investigation of the arch inplane buckling behaviour in arch bridges. Journal of Constructional Steel Research, 64, 1349-1356. https://doi.org/10.1016/j.jcsr.2008.01.035
Schanack, F. (2009). Berechnung der Knicklast in Bogenebene von Netzwerkbögen. Stahlbau, 86(5), 249-255. https://doi.org/10.1002/bate.200910022
Teich, S. (2011). Entwicklung allgemeiner Entwurfsgrundsätze für Hängernetze von Netzwerkbogenbrücken. Stahlbau, 80(2), 100-111. https://doi.org/10.1002/stab.201001395
Tveit, P. (2005, August). The network arch, Bits of Manuscript after lectures in 34 countries. Retrieved from https://home.uia.no/pert
Zhao, S.-Y., Guo, Y.-L., & Dou, C. (2013). Geometric imperfection effects on out-of-plane inelastic buckling loads of lateral braced arches. In Proceedings of the 10th Pacific Structural Steel Conference, 8-11 October, Singapore (pp. 181-186). Singapore: Research Publishing Services. https://doi.org/10.3850/978-981-07-7137-9_072
Ziemian, R. D. (2010). Guide to stability design criteria for metal structures (6th ed., pp. 762-806). New York, NY, USA: John Wiley & Sons. https://doi.org/10.1002/9780470549087.ch17