Skip to main content
Log in

Abstract

This study aims to establish finite element models to investigate the seismic performance of typical wall piers used in beam-type covered bridges. The impacts of the mesh sensitivity and load pattern of the selected multi-layer shell element model on the out-of-plane seismic performance are evaluated, and comparisons with the seismic behaviors captured by a force-based beam–column element model are conducted. An analysis is carried out to determine the displacement ductility ratios in each damage state. The applicability of the limit values of the out-of-plane damage states reported in previous studies is assessed and validated. The results showed that in practice, no great improvement can be achieved through the addition of additional elements, from the comprehensive perspective of the global force‒displacement curves. Nevertheless, the pattern of loading is vital to the seismic performance of a wall pier, and a wall pier installed with three bearings is assumed to be more favorable for a covered bridge subjected to earthquake forces. The multi-layer shell element model is more applicable than the force-based beam–column element model for characterizing the seismic performance at the local positions of the wall piers under different lateral loading patterns. There is a limited divergence in the displacement ductility ratios of at the local position of a wall pier under the application of two different lateral loads in the same damage state. This finding verifies the feasibility of using the limit values of conventional column piers for out-of-plane wall piers in various damage states. The critical values for damage state division for the wall pier of interest can be taken to be 0.27, 1.00, 2.33 and 5.33.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  • Abo-Shadi NA, Saiidi MS, Sanders DH (2000a) Out-of-plane seismic response of reinforced concrete bridge pier walls. ACI Struct J 97(6):803–814. https://doi.org/10.1046/j.0014-2956.2001.02456.x

    Article  Google Scholar 

  • Abo-Shadi NA, Saiidi MS, Sanders DH (2000b) Seismic response of bridge pier walls in the weak direction. Report to the multidisciplinary center for earthquake engineering research (MCEER), Report No. CCEER-99-3, Center for Civil Engineering Earthquake Research, University of Nevada, Reno, NV

  • Abo-Shadi NA, Saiidi MS, Sanders DH (2001) Performance-based design of confinement reinforcement in reinforced concrete bridge pier walls for out-of-plane seismic loads. ACI Struct J 98(1):3–15

    Google Scholar 

  • Arafa A (2021) Review of seismic response and strength requirements of reinforced concrete squat walls. ACI Struct J 118(4):17–30. https://doi.org/10.14359/51732641

    Article  Google Scholar 

  • Batoz JL, Tahar MB (1982) Evaluation of a new quadrilateral thin plate bending element. Int J Numer Methods Eng 18(11):1655–1677. https://doi.org/10.1002/nme.1620181106

    Article  Google Scholar 

  • Bignell JL, LaFave JM, Hawkins NM (2005) Seismic vulnerability assessment of wall pier supported highway bridges using nonlinear pushover analyses. Eng Struct 27(14):2044–2063. https://doi.org/10.1016/j.engstruct.2005.06.015

    Article  Google Scholar 

  • Bignell JL, LaFave JM, Hawkins NM (2010) Analytical fragility analysis of southern Illinois wall pier supported highway bridges. Earthq Eng Struct Dyn 39(7):709–729. https://doi.org/10.1002/eqe.966

    Article  Google Scholar 

  • Bignell JL, (2006) Assessment of the seismic vulnerability of wall pier supported highway bridges on priority emergency routes in Southern Illinois. Ph.D. Dissertation, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA.

  • Buckle IG, Friedland I, Mander J et al (2006) Seismic retrofitting manual for highway structures: part 1-bridges, MCEER-06-SP10. Multidisciplinary Center for Earthquake Engineering Research, New York

    Google Scholar 

  • Chen L, Zheng K, Li H et al (2012) Research of bridge seismic vulnerability based on extended incremental dynamic analysis. J Highw Transp Res Dev 29(9):43–49

    Google Scholar 

  • Chen L, Tu Y, He L (2020) A probabilistic capacity model and seismic vulnerability analysis of wall pier bridges. Appl Sci 10:926. https://doi.org/10.3390/app10030926

    Article  Google Scholar 

  • Dashti F, Dhakal RP, Pampanin S (2017) Numerical modeling of rectangular reinforced concrete structural walls. J Struct Eng 143(6):04017031. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001729

    Article  Google Scholar 

  • Fen D, Ren X, Li J (2018) Cyclic behavior modeling of reinforced concrete shear walls based on softened damage-plasticity model. Eng Struct 166:363–375. https://doi.org/10.1016/j.engstruct.2018.03.085

    Article  Google Scholar 

  • Han X, Chen X, Wu P (2008) Research on the shear wall macro-element of OpenSEES. World Earthq Eng 24(4):76–81

    Google Scholar 

  • Haroun MA, Pardoen GC, Shepherd R, et al., (1993) Cyclic behavior of bridge pier walls for retrofit. Final Report to the California Department of Transportation. University of California at Irvine. Irvine

  • Haroun MA, Pardoen GC, Shepherd R, et al., (1994) Assessment of cross-tie performance in bridge pier walls. Final Report to the California Department of Transportation, University of California at Irvine, Irvine

  • Haroun MA, Pardoen GC, Bhatia H, et al., (1997) Testing of enhanced and repaired pier walls of modern design. Final Report to the California Department of Transportation, University of California at Irvine, Irvine. https://ntlrepository.blob.core.windows.net/lib/20000/20200/20213/PB98116585.pdf.

  • Karalar M, Dicleli M (2016) Effect of thermal induced flexural strain cycles on the low cycle fatigue performance of integral bridge steel H-piles. Eng Struct 124:388–404. https://doi.org/10.1016/j.engstruct.2016.06.031

    Article  Google Scholar 

  • Karalar M, Dicleli M (2018) Fatigue in jointless bridge H-piles under axial load and thermal movements. J Constr Steel Res 147:504–522. https://doi.org/10.1016/j.jcsr.2018.05.006

    Article  Google Scholar 

  • Karalar M, Dicleli M (2020) Low-cycle fatigue in steel H-piles of integral bridges; a comparative study of experimental testing and finite element simulation. Steel Compos Struct 34:35–51. https://doi.org/10.12989/scs.2020.34.1.035

    Article  Google Scholar 

  • Karalar M, Dicleli M (2023) Effect of pile orientation on the fatigue performance of jointless bridge H-piles subjected to cyclic flexural strains. Eng Struct 276:115385. https://doi.org/10.1016/j.engstruct.2022.115385

    Article  Google Scholar 

  • Kiyoshi M (1984) Dynamic design of structures. China Construction Industry Press, Beijing

    Google Scholar 

  • Kolozvari K, Tran TA, Orakcal K et al (2015) Modeling of cyclic shear-flexure interaction in reinforced concrete structural walls. II: experimental validation. J Struct Eng 141:04014136. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001083

    Article  Google Scholar 

  • Kolozvari K, Kalbasi K, Orakcal K, Wallace J (2021) Three-dimensional model for nonlinear analysis of slender flanged reinforced concrete walls. Eng Struct 236:112105. https://doi.org/10.1016/j.engstruct.2021.112105

    Article  Google Scholar 

  • Lao X (2010) Research on seismic performance and performance index limits of RC shear wall components with rectangular section. Ph.D. Dissertation, South China University of Technology, Guangzhou, China

  • Long Y, B X, Long Z, Xu Y(1995) Generalized conforming plate bending elements using point and line compatibility conditions. Comput Struct 54(4):717–723. https://doi.org/10.1016/0045-7949(94)00362-7

    Article  Google Scholar 

  • Long Y, Cen S, Long Z (2009) Advanced finite element method in structural engineering. SpringerVerlag GmbH Berlin Heidelberg & Tsinghua University Press, Beijing

    Book  Google Scholar 

  • Lu Y, Panagiotou M (2014) Three-dimensional cyclic beam-truss model for nonplanar reinforced concrete walls. J Struct Eng 140(3):04013071

    Article  Google Scholar 

  • Lu X, Lu X, Guan H et al (2013) Collapse simulation of reinforced concrete high-rise building induced by extreme earthquake. Earthq Eng Struct Dyn 42(5):705–723. https://doi.org/10.1002/eqe.2240

    Article  Google Scholar 

  • Lu X, Xie L, Guan H et al (2015) A shear wall element for nonlinear seismic analysis of super-tall buildings using OpenSees. Finite Elements Anal Des 98:14–25. https://doi.org/10.1016/j.finel.2015.01.006

    Article  Google Scholar 

  • Menegotto M, Pinto PE, (1973) Method of analysis for cyclically loaded R. C. plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending. In: proceeding, symposium on the resistance and ultimate deformability of structures acted on by well defined repeated loads, international association for bridge and structural engineering, Zurich, Switzerland, 13, 15–22. https://doi.org/10.5169/seals-13741.

  • Orakcal K, Wallace JW (2006) Flexural modeling of reinforced concrete walls: experimental verification. ACI Struct J 103(2):196–206

    Google Scholar 

  • Park R (1989) Evaluation of ductility of structures and structural assemblages from laboratory testing. Bull New Zealand Soc Earthq Eng 22(3):155–166

    Article  Google Scholar 

  • Petrone F, McKenna F, Do T, McCallen D (2021) A versatile numerical model for the nonlinear analysis of squat-to-tall reinforced-concrete shear walls. Eng Struct 242:112406. https://doi.org/10.1016/j.engstruct.2021.112406

    Article  Google Scholar 

  • Pozo JD, Hube MA, Kurama YC (2020) Quantitative assessment of nonlinear macro-models for global behavior and design of planar RC walls. Eng Struct 224:111190. https://doi.org/10.1016/j.engstruct.2020.111190

    Article  Google Scholar 

  • Pugh JS, Lowes LN, Lehman DE (2015) Nonlinear line-element modeling of flexural reinforced concrete walls. Eng Struct 104:174–192. https://doi.org/10.1016/j.engstruct.2015.08.037

    Article  Google Scholar 

  • Qiu W, Wang K, Yin W (2022) Analysis of the seismic behavior of a wall pier of a covered bridge based on the multi-layer shell element. Appl Sci 12:3499. https://doi.org/10.3390/app12073499

    Article  Google Scholar 

  • Salazar R, Baylon MB, Lomibao JPM (2018), Seismic vulnerability assessment of pandacan rail bridge wall pier using fragility curves. Bachelor Dissertation, University of the City of Manila, Intramuros, Manila. https://doi.org/10.13140/RG.2.2.31278.15685.

  • Scott BD, Park R, Priestley MJN (1982) Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates. ACI J Proc 79(2):13–27

    Google Scholar 

  • Siddiquee KN, (2015) Seismic vulnerability assessment of wall pier highway bridges in British Columbia. Master Dissertation, University of British Columbia, Okanagan

  • Song S, Qian Y, Feng B (2015) Analysis on seismic fragility of landscape covered bridge considering bridge-building interaction. J Highw Transp Res Dev 32(06):95–102

    Google Scholar 

  • Vulcano A, Bertero VV, Colotti V, (1988) Analytical modeling of R/C structural walls. In: Proceeding 9th World Conference of Earhquake Engineering., Tokyo-Kyoto, Japan

  • Xu Y, Long Y (1993) Quadrilateral membrane element with vertex rotational freedom from generalized compatible condition. Eng Mech 10(3):27–36

    Google Scholar 

Download references

Acknowledgements

This study was supported by the Science and Technology Project of Department of Housing and Urban-Rural Development in Anhui Province (2019YF-007).

Author information

Authors and Affiliations

Authors

Contributions

Wenhua Qiu: Conceptualization and methodology and writing-original draft preparation; Kehai Wang: Supervising original draft writing; Weizuo Guo: writing-review and editing; All authors reviewed the manuscript.

Corresponding author

Correspondence to Wenhua Qiu.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Qiu, W., Wang, K. & Guo, W. Seismic Performance of the Wall Pier of Covered Bridge in the Weak Direction. Iran J Sci Technol Trans Civ Eng (2024). https://doi.org/10.1007/s40996-024-01402-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40996-024-01402-z

Keywords

Navigation