Vol. 21, No. 3, pp. 231-242 (2025)
A PROPOSAL OF SIMPLIFIED SEISMIC DESIGN METHOD FOR
STEEL PIER WITH POTENTIAL FAILURE MODES OF LOCAL INSTABILITY AND
ULTRA-LOW CYCLE FATIGUE
Cheng Cheng, Xu Xie * and Tian-Jia Wang
College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, China
*(Corresponding author: E-mail:This email address is being protected from spambots. You need JavaScript enabled to view it.)
Received: 20 April 2024; Revised: 7 January 2025; Accepted: 8 January 2025
DOI:10.18057/IJASC.2025.21.3.5
![]() |
Export Citation: Plain Text | RIS | Endnote |
ABSTRACT
Local instability (LI) and ultralow-cycle fatigue (ULCF) are two potential failure modes of steel piers subjected to strong earthquakes. Steel bridges constructed in highly seismic regions must account for both failure modes in their seismic design calculations. While the issue of LI has largely been addressed, with preventive measures incorporated into various bridge design codes, the ULCF assessment remains challenging due to its high computational cost. Therefore, investigating the conditions under which the ULCF assessment can be avoided is of great significance for simplifying the seismic design of steel bridges. To this end, this study focuses on the damage occurrence priority of the two failure modes of steel piers. The proposed simplified seismic design method is the avoidance of ULCF check by constructing piers with the failure occurrence priority of LI. Taking the widely used box section single-column steel pier as an example, 90 piers with different structural parameters, representative of practical engineering applications, were designed in this paper. Based on a hypothetical cyclic loading protocol, the parameter ranges of steel piers with different damage priorities were determined. Discussion on the seismic performance of piers showed that the order of failure occurrence sequence is controlled by the mechanical properties of pier structure, rather than the load conditions it is subjected to. Additionally, the credibility of the derived damage occurrence sequence and the simplified seismic design method was verified through dynamic analyses using real seismic wave inputs. The work shown in this paper can serve as a reference to simplify the seismic design process of steel piers.
KEYWORDS
Local instability, Ultralow-cycle fatigue, Damage occurrence priority, Seismic design, Steel pier
REFERENCES
[1] Kuwamura H., “Transition between fatigue and ductile fracture in steel”, Journal of Structural Engineering, 123(7), 864-870, 1997.
[2] Kanvinde A.M., Micromechanical simulation of earthquake-induced fracture in steel structures, Dissertation, Stanford University, 2004.
[3] Nakashima K., Inoue K., and. Tada M., “Classification of damage to steel buildings observed in the 1995 Hyogoken-Nanbu earthquake”, Engineering Structures, 20(4), 271-281, 1998.
[4] Subcommittee on Investigation of Seismic Damage of Steel Structure, “Investigation of causes of damage to steel structure on Hanshin-Awaji earthquake disaster”, Doboku Gakkai Ronbunshu, 64, 17-30, 2000. (In Japanese)
[5] Miller D.K., “Lessons learned from the Northridge earthquake”, Engineering Structures, 20(4), 249-260, 1998.
[6] Ge H.B. and Kang L., “Ductile crack initiation and propagation in steel bridge piers subjected to random cyclic loading”, Engineering Structures, 59, 809-820, 2006.
[7] Goto Y., Jiang K.S. and Obata M., “Stability and ductility of thin-walled circular steel columns under cyclic bidirectional loading”. Journal of Structural Engineering. 132(10), 1621-1631, 2006.
[8] Goto Y., Ebisawa T., Lu X.L., Lu W.S., “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, 2015.
[9] Zhuge H.Q., Xie X. and Tang Z.Z., “Lengths of damaged zones of steel piers under bidirectional horizontal earthquake components”, China Journal of Highway and Transport, 32(8), 79-91, 2019. (In Chinese)
[10] Li S.L, Lin J.H., Zhuge H.Q., Xie X. and Cheng C., “Ultra-low cycle fatigue fracture initiation life evaluation of thick-walled steel bridge piers with microscopic damage index under bidirectional cyclic loading”, Structures, 43, 669-681, 2022.
[11] Ge H.B., Kang L. and Tsumura Y., “Extremely low-cycle fatigue tests of thick-walled steel bridge piers”, Journal of Bridge Engineering, 18(9), 858-870, 2013.
[12] Jenothan M., Jayasinghe J. A. S. C. and Bandara C. S., “Lateral behaviour and performance evaluation of steel piers under cyclic lateral loading”, Journal of Constructional Steel Research, 201, 107764, 2023.
[13] Ge H.B. and Usami T., “Cyclic tests of concrete-filled steel box columns”, Journal of Structural Engineering, 122(10), 1169-1177, 1996.
[14] Goto Y., Muraki M. and Ebisawa T., “Ultimate state and design of thin-walled circular steel columns under bi-directional seismic excitations”, Kozo Kogaku Ronbunshu, 629-642, 2009.
[15] Gao S.B., Usami T. and Ge H.B., “Ductility evaluation of steel bridge piers with pipe sections. Journal of Engineering Mechanics”, 124(3), 260-267, 1998.
[16] Specifications for Highway Bridges, Part II: Steel Bridges 2017., Japanese Road Association, Tokyo, Japan, 2017.
[17] Guide Specifications for LRFD Seismic Bridge Design 2011., American Association of State Highway and Transportation Officials, Washington, America, 2017.
[18] Specifications for Design of Highway Steel Bridge 2017., Ministry of Transport of the People's Republic of China, Beijing, China, 2017.
[19] Coffin L.F., “A study of the effects of cyclic thermal stresses on a ductile metal”, Trans. ASME, 76, 931-50, 1954.
[20] Manson S.S., “Fatigue: a complex subject – some simple approximations”, Experimental Mechanics, 5, 193-226, 1965.
[21] Tateishi K., Hanji T. and Minami K., “A prediction model for extremely low cycle fatigue strength of structural steel”, International Journal of Fatigue, 29(5), 887-896, 2007.
[22] Xue L., “A unified expression for low cycle fatigue and extremely low cycle fatigue and its implication for monotonic loading”, International Journal of Fatigue, 30(10), 1691-1698, 2008.
[23] Xie X., Cheng C. and Li S. L., “A deformation history-based approach for ultra-low cycle fatigue damage evaluation of steel structures”, International Journal of Steel Structures, 20(4), 1378-1392, 2020.
[24] Tamura H., Sasaki E., Yamada H. and Katsuchi H., “Analytical study focusing on stress triaxiality on factor of brittle fracture during earthqakes in steel bridge bents”, Structural Engineering & Earthquake Engineering, 66(3), 420-434, 2010. (In Japanese)
[25] Tamura H. and Sasaki E., “A study on modified weibull stress based evaluation of brittle fracture occurrence during earthquakes in steel members”, Structural Engineering & Earthquake Engineering, 71(2), 173-185, 2015. (In Japanese)
[26] Liu Y., Kang L. and Ge H.B., “Experimental and numerical study on ductile fracture of structural steels under different stress states”, Journal of Constructional Steel Research, 158, 381-404, 2019.
[27] Tong L.W., Huang X.W., Zhou F. and Chen Y.Y., “Experimental and numerical investigations on extremely-low-cycle fatigue fracture behavior of steel welded joints”, Journal of Constructional Steel Research, 119(1), 98-112, 2016.
[28] Kanvinde A. M., Deierlein G. G., Kanvinde A. M. and Deierlein G. G., “Cyclic void growth model to assess ductile fracture initiation in structural steels due to ultra low cycle fatigue”, Journal of Engineering Mechanics, 133(6), 701-712, 2007.
[29] Liao F.F., Micromechanical simulation of earthquake-induced fracture in steel structures, Dissertation, Tongji University, 2012. (In Chinese)
[30] Liao Y.H., Research on ultra low cycle fatigue properties and fracture mechanism of steel bridge welded joint, Dissertation, Zhejiang University, 2018. (In Chinese)
[31] Usami T., Gao S.B. and Ge H.B., “Elastoplastic analysis of steel members and frames subjected to cyclic loading”, Engineering Structures, 22(2), 135-145, 2000.
[32] Liu N.F., Gao S.B., “Ductility prediction of stiffened steel pipe-section bridge piers”, Journal of Harbin Institute of Technology, 49(3), 138-143, 2017. (In Chinese)
[33] Xie X., Zhuge H.Q., Tang Z.Z., Wang T. and Liao Y-H., “Damage characteristics of thin-walled steel arch bridges subjected to in-plane earthquake action”, Journal of Constructional Steel Research, 151, 70-82, 2018.
[34] Tsai C.Y., Tsai K.C., Li C.H., Wu C.C., Lin K.C. and Jhuang S.J., “Seismic fracture evaluation of diaphragm joints in welded beam-to-box column moment connections”, Earthquake Engineering & Structural Dynamics, 49(13), 1344-1362, 2020.
[35] Wang Y.M., Zhang H.D., Ju J.S. and Fu Y.D., “Influence of welding residual stress on ultra-low cycle fatigue properties of beam-column joints in steel frame”, Strength of Materials, 54(4), 734-746, 2022.
[36] Noferesti H., Razmkhah M.H. and Gerami M., “Laboratory and ultra-low cycle fatigue evaluation of the seismic performance of BFP connection with different amounts of pre-tension in bolts”, Journal of Constructional Steel Research, 212, 108295, 2023.
[37] Zhang Y.L., Wang W., Huo H.W., Wang Y. and Fang C., “Cyclic void growth model to assess ductile fracture initiation in structural steels due to ultra low cycle fatigue”, Journal of Constructional Steel Research, 215, 108561, 2024.
[38] Ge H.B., Gao S.B. and Usami T., “Stiffened steel box columns. Part 1: Cyclic behaviour”, Earthquake Engineering & Structural Dynamics, 29(11), 1691-1706, 2000.
[39] Shi Y.P. and Zhou Y.R., Detailed explanation of ABAQUS finite element analysis examples, Mechanical Industry Press, Beijing, 2006.
[40] Zhuge H.Q., Xie X., Li S-L., Wang J.D., “Seismic performance test and practical calculation method of thin-walled square-section steel piers under horizontal bi-directional seismic excitations”, China Civil Engineering Journal, 53(12), 74-85, 2020. (In Chinese)
[41] Tang Z.Z., Xie X., Wang T. and Wang J.Z., “Study on FE models in elasto-plastic seismic performance evaluation of steel arch bridge”, Journal of Constructional Steel Research, 113, 209-220, 2015.
[42] Chen S.X., Xie X., Zhuge H.Q., “Hysteretic model for steel piers considering the local buckling of steel plates”, Engineering Structures, 183, 303-318, 2019.
[43] Pallant J., SPSS survival manual: a step by step guide to data analysis using SPSS for windows version 15, Open University Press, London, 2007.