Time-dependent Behaviour Analysis of Long-span Concrete Arch Bridge

Yongbao Wang, Renda Zhao, Yi Jia, Ping Liao


This paper continues the previous study on clarifying the time-dependent behaviour of Beipanjiang Bridge ‒ a reinforced concrete arch bridge with concrete-filled steel tubular stiffened skeleton. The obtained prediction models and the Finite Element Models were used to simulate the long-term behaviour and stress redistribution of the concrete arch bridge. Three-dimensional beam elements simulated the stiffened skeleton and surrounding concrete. Then, a parameters study was carried out to analyse the time-dependent behaviour of the arch bridge influenced by different concrete creep and shrinkage models. The simulation results demonstrate that concrete creep and shrinkage have a significant influence on the time-dependent behaviour of the concrete arch bridge. After the bridge completion, the Comite Euro-International du Beton mean deviation of displacements obtained by 1990 CEBFIP Model Code: Design Code model and fib Model Code for Concrete Structures 2010 model are 3.4%, 31.9% larger than the results predicted by the modified fib Model Code for Concrete Structures 2010 model. The stresses between the steel and the concrete redistribute with time because of the concrete long-term effect. The steel will yield if the fib Model Code for Concrete Structures 2010 model is used in the analysis. The stresses in a different part of the surrounding concrete are non-uniformly distributed.


analysis; concrete arch bridge; creep; deformation; finite element; time-dependent behaviour; stress

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ACI209 R-92 Prediction of Creep, Shrinkage and Temperature Effects in Concrete Structures.

Al-Manaseer, A., & Prado, A. (2015). Statistical comparisons of creep and shrinkage prediction models using RILEM and NU-ITI databases. ACI Materials Journal, 112(1), 125. https://doi.org/10.14359/51686982

Bažant, Z.P. & Murphy, W. P. (1995). Creep and Shrinkage Prediction Model for Analysis and Design of Concrete Structures-Model B3. Materials and Structures 28:357‒365. https://doi.org/10.1007/BF02473152.

Bažant, Z. P., Hubler, M. H., & Yu, Q. (2011). Excessive creep deflections: An awakening. Concrete international, 33(8), 44-46.

Bažant, Z. P., Yu, Q., & Li, G. H. (2012). Excessive long-time deflections of prestressed box girders. I: Record-span bridge in Palau and other paradigms. Journal of Structural Engineering, 138(6), 676-686. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000487

Comite Euro-International du Beton (CEB) (1993). 1990 CEB-FIP Model Code 1990: Design Code Comite Euro-International du Beton (CEB) (2012). fib Model Code for Concrete Structures 2010

Geng, Y., Wang, Y., Ranzi, G., & Wu, X. (2013). Time-dependent analysis of long-span, concrete-filled steel tubular arch bridges. Journal of Bridge Engineering, 19(4), 04013019. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000549

Goel, R., Kumar, R., & Paul, D. K. (2007). Comparative study of various creep and shrinkage prediction models for concrete. Journal of materials in civil engineering, 19(3), 249-260. https://doi.org/10.1061/(ASCE)0899-1561(2007)19:3(249)

Hedegaard, B. D., French, C. E., & Shield, C. K. (2016). Effects of cyclic temperature on the time-dependent behavior of posttensioned concrete bridges. Journal of Structural Engineering, 142(10), 04016062. https://doi.org/10.1061/(asce)st.1943-541x.0001538

Ma, K., Xiang, T., & Xu, T. (2013). Probabilistic Analysis on Influence of Creep and Shrinkage on Time-Variant Stresses of High-Speed Railway Reinforced Concrete Arch Bridge, Journal of China Railway Society 3 5(9): 9 4‒99. (in Chinese)

Ma, K., Xiang, T. Y., Zhao, R. D., Xu, Y., & Xie, H. 2012. Stochastic Analysis of Long-Term Deformation of Reinforced Concrete Arch Bridge for High-Speed Railways. China Civil Engineering Journal 45(11): 141‒146.

Wang, Y. B., Zhao, R. D. Jia, Y., & Liao P. (2019). Creep Characteristics of Concrete Used in Long-span Arch Bridge, The Baltic Journal of Road and Bridge Engineering 14(1): 18−36. https://doi.org/10.7250/bjrbe.2019-14.431

Wang, Y. F., Ma, Y. S., Han, B., & Deng, S. Y. (2013). Temperature effect on creep behavior of CFST arch bridges. Journal of Bridge Engineering, 18(12), 1397-1405. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000484

Wang, Y., Zhan, Y., & Zhao, R. (2016). Analysis of thermal behavior on concrete box-girder arch bridges under convection and solar radiation. Advances in Structural Engineering, 19(7), 1043-1059. https://doi.org/10.1177%2F1369433216630829

Wendner, R., Tong, T., Strauss, A., & Yu, Q. (2015). A case study on correlations of axial shortening and deflection with concrete creep asymptote in segmentally-erected prestressed box girders. Structure and Infrastructure Engineering, 11(12), 1672-1687. https://doi.org/10.1080/15732479.2014.992442

Xie, H.Q. (2012). Study on Structural Type Selection and Mechanical Behaviors of Long-Span Railway Concrete Arch Bridge with Rigid Skeleton (Doctoral Dissertation, Southwest Jiaotong University) (In Chinese)

Yang, M. G., Cai, C. S., & Chen, Y. (2015). Creep performance of concrete-filled steel tubular (CFST) columns and applications to a CFST arch bridge. Steel and Composite Structures, 19(1), 111-129. https://doi.org/10.12989/scs.2015.19.1.111

Yu, Q., & Li, G. H. (2012). Excessive long-time deflections of prestressed box girders. II: Numerical analysis and lessons learned. Journal of Structural Engineering, 138(6), 687-696. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000375

Zhang, J. (2015). A Unified Viscoelasto-Plastic Damage Model for Long-Term Performance of Prestressed Concrete Box Girders (Doctoral dissertation, University of Pittsburgh).

DOI: 10.7250/bjrbe.2019-14.441


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