Out-of-Plane Buckling Mechanism and Enhancing Method of Stiff Skeleton Arch Bridge When Wrapping Surrounding Concrete
DOI:
https://doi.org/10.7250/bjrbe.2025-20.663Keywords:
concrete arch bridge, double-nonlinear, out-of-plane instability, stiff skeleton, transverse braceAbstract
This study investigates the stability of skeleton-reinforced concrete arch bridges during the concrete encasement process, employing a homogeneous generalized yield functions for extreme buckling load determination in nonlinear finite element analysis. Through an analysis of the stability of a stiff skeleton arch bridge with a 600 m span during the concrete wrapping stage, this study delves into and elucidates the mechanism by which the transverse brace enhances the out-of-plane stability capacity of the skeleton arch ribs. Additionally, a method for improving stability by controlling the lateral rotation angle of arch ribs is proposed. The results indicate that the lateral deflection angle of arch ribs serves as a crucial metric for assessing the out-of-plane stability of arch bridges. Transverse braces effectively coordinate and constrain the lateral deflections of two isolated arch ribs through their bending stiffness along the tangential direction of the arch axis. Notably, transverse braces within the range of L/8 to 3L/8 make the most substantial contribution to the lateral stiffness of arch ribs. Consequently, wrapping surrounding concrete on transverse braces within the L/8 to 3L/8 range proves advantageous for enhancing the stability of a stiff skeleton arch bridge under construction. Specifically, it is recommended to pour surrounding concrete on transverse braces at L/4 before the closure of the bottom plate’s concrete ring. After the ring of bottom plate’s concrete is closed, a symmetrical pouring of surrounding concrete on transverse braces from L/4 to the arch spring and vault is proposed.
References
Chang, W. F., and Ferguson, P. M. (1963). Long-hinged reinforced concrete columns. Journal of the American Concrete Institute, 60(1), 1–25. DOI: https://doi.org/10.14359/7839
Chen, F., He, S., Hu, D., Liu, L., and Fan, W. (2010). Nonlinear stability analysis of the CFST double X-arch bridge. Journal of Xi’an University of Architecture & Technology (Natural Science Edition), 42(5), 649–655.
Chen, S., Hou, C., Zhang, H., and Han, L. H. (2019). Structural behaviour and reliability of CFST trusses with random initial imperfections. Thin-Walled Structures, 143, Article 106192. https://doi.org/10.1016/j.tws.2019.106192 DOI: https://doi.org/10.1016/j.tws.2019.106192
Cheng, J., Jiang, J. J., Xiao, R. C., and Xiang, H. F. (2002). Ultimate behavior of long-span steel arch bridges. Structural Engineering & Mechanics, 14(3), 331–343. https://doi.org/10.12989/sem.2002.14.3.331 DOI: https://doi.org/10.12989/sem.2002.14.3.331
China, M. et al. (2015). Code for design of highway concrete filled steel tube arch bridge. China Communications Publishing, Beijing.
Ding, F., Cao, Z., Lyu, F., Huang, S., Hu, M., and Lin, Q. (2022). Practical design equations of the axial compressive capacity of circular CFST stub columns based on finite element model analysis incorporating constitutive models for high-strength materials. Case Studies in Construction Materials, 16, Article e01115. https://doi.org/10.1016/j.cscm.2022.e01115 DOI: https://doi.org/10.1016/j.cscm.2022.e01115
Dong, R., Chen, Y., Zheng, M., Huang, F., and Chen, B. (2020). Stability analysis of long-span CFST truss arch bridges with L-shaped bracings. Journal of Civil Engineering, 53(5), 89–99.
Dou, C., and Pi, Y.-L. (2016). Flexural-torsional buckling resistance design of circular arches with elastic end restraints. Journal of Structural Engineering, 142(2). https://doi.org/10.1061/(ASCE)ST.1943-541X.0001373 DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0001373
Geng, Y., Ranzi, G., Wang, Y., and Wang, Y. (2018). Out-of-plane creep buckling analysis on slender concrete-filled steel tubular arches. Journal of Constructional Steel Research, 140, 174–190. https://doi.org/10.1016/j.jcsr.2017.10.010 DOI: https://doi.org/10.1016/j.jcsr.2017.10.010
Godden, W. G. (1954). The lateral buckling of tied arches. Proceedings of the institution of Civil Engineers, 3(4), 496–514. https://doi.org/10.1680/ipeds.1954.12584 DOI: https://doi.org/10.1680/ipeds.1954.12584
Gu, Y. (2011). Stability analysis of long-span concrete arch bridge with stiff skeleton. Southwest Jiaotong University, Chengdu.
Ji, R., and Shi, M. (2011). Stability analysis of long span railway CFST tied-arch bridge. Journal of Vibration and Shock, 30(8), 87–91.
Li, L., Chen, Z., and Ge, Y. (2008). Effects of arch rib crossbars on dynamic and stabilization characteristics of concrete filled steel tubular arch bridge. Journal of Highway and Transportation Research and Development, 3(2), 70–74. https://doi.org/10.1061/JHTRCQ.0000253 DOI: https://doi.org/10.1061/JHTRCQ.0000253
Li, Z., and Peng, Y. (2022). The base force element method based on the arc-length method for stability analysis. International Journal of Non-Linear Mechanics, 144, Article 104088. https://doi.org/10.1016/j.ijnonlinmec.2022.104088 DOI: https://doi.org/10.1016/j.ijnonlinmec.2022.104088
Liu, A. R., Huang, Y. H., Yu, Q. C., and Rao, R. (2014). An analytical solution for lateral buckling critical load calculation of leaning-type arch bridge. Mathematical Problems in Engineering, 1–14. https://doi.org/10.1155/2014/578473 DOI: https://doi.org/10.1155/2014/578473
Lu, P. Z., Li, D. G., Hong, T., Chen, Y. R., and Shi, Q. T. (2022). Concrete performance time-varying effect of CFST arch bridges. Mechanics of Time-Dependent Materials, 26(2), 377–395. https://doi.org/10.1007/s11043-021-09492-2 DOI: https://doi.org/10.1007/s11043-021-09492-2
Luo, K., Pi, Y.-L., Gao, W., Bradford, M. A., and Hui, D. (2015). Investigation into long-term behaviour and stability of concrete-filled steel tubular arches. Journal of Constructional Steel Research, 104, 127–136. https://doi.org/10.1016/j.jcsr.2014.10.014 DOI: https://doi.org/10.1016/j.jcsr.2014.10.014
Mackenzie, D., Boyle, J., and Hamilton, R. (2000). The elastic compensation method for limit and shakedown analysis: a review. The Journal of Strain Analysis for Engineering Design, 35(3), 171–188. https://doi.org/10.1243/0309324001514332 DOI: https://doi.org/10.1243/0309324001514332
Pi, Y., Bradford, M. A., and Qu, W. (2011). Long-term non-linear behaviour and buckling of shallow concrete-filled steel tubular arches. International Journal of Non-Linear Mechanics, 46(9), 1155–1166. https://doi.org/10.1016/j.ijnonlinmec.2011.05.003 DOI: https://doi.org/10.1016/j.ijnonlinmec.2011.05.003
Rakici, S. C., and Menkulasi, F. (2021). Out-of-plane buckling strength of free standing singly symmetric hollow pinned circular arches. Journal of Constructional Steel Research, 186, Article 106914. https://doi.org/10.1016/j.jcsr.2021.106914 DOI: https://doi.org/10.1016/j.jcsr.2021.106914
Shao, C., Ju, J. W. W., Han, G., and Qian, Y. (2017). Seismic applicability of a long-span railway concrete upper-deck arch bridge with CFST rigid skeleton rib. Structural Engineering & Mechanics, 61(5), 645–655. https://doi.org/10.12989/sem.2017.61.5.645 DOI: https://doi.org/10.12989/sem.2017.61.5.645
Song, F., and Chen, B. (2012). Analysis of out-of-plane elastic buckling of standard concrete filled steel tubular truss ribs arch. Engineering Mechanics, 29(9), 125–132.
Stüssi, F. (1943). Kippen und Querschwingungen von Bogenträgern. Int. Assoc. of Bri. and Str. Engrs. Pubs., 7, 327–343.
Tong, J., Lin, Z., and Zhou, Q. (2022). Local stability of concrete arch bridge based on Ritz method. Journal of Computational Methods in Sciences & Engineering, 22(1), 279–294. https://doi.org/10.3233/JCM-215644 DOI: https://doi.org/10.3233/JCM-215644
Waestlund, G. (1960). Stability problems of compressed steel members and arch bridges. Journal of the Structural Division, 86(6), 47–71. https://doi.org/10.1061/JSDEAG.0000535 DOI: https://doi.org/10.1061/JSDEAG.0000535
Wang, M., Wu, H., Qian, J., and Chao, Y. (2018). Analysis on the influence of construction procedure of transverse bracing on the structural behavior of reinforced concrete arch bridge with rigid skeleton. Journal of China and Foreign Highway, 3.
Xie, K., Wang, H., Guo, X., and Zhou, J. (2021). Study on the safety of the concrete pouring process for the main truss arch structure in a long-span concrete-filled steel tube arch bridge. Mechanics of Advanced Materials and Structures, 28(7), 731–740. https://doi.org/10.1080/15376494.2019.1601309 DOI: https://doi.org/10.1080/15376494.2019.1601309
Xu, L., Yang, H., and Liu, S. (2007). Stability analysis of long-span deck-type CFST arch bridge. Journal of Highway & Transportation Research & Development, 2(1), 62-65. https://ascelibrary.org/doi/pdf/10.1061/JHTRCQ.0000170 DOI: https://doi.org/10.1061/JHTRCQ.0000170
Yang, L., Yu, B., and Ju, J. W. (2015). Incorporated strength capacity technique for limit load evaluation of trusses and framed structures under constant loading. Journal of Structural Engineering, 141(11), Article 04015023. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001252 DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0001252
Yang, Y. (1998). Study on transverse stability of concrete-filled steel tube arch bridge. Southwest Jiaotong University, Chengdu.
Zhao, C., Duan, J., Tang, C., Deng, K., Shang, C., and Zhang, X. (2021). Seismic performance analysis of CFST stiff skeleton concrete arch bridge considering non-planar sectional stress induced by balanced ring-casting construction. Journal of Earthquake Engineering, 27(1), 84–101. https://doi.org/10.1080/13632469.2021.1997837 DOI: https://doi.org/10.1080/13632469.2021.1997837
Zheng, J. L., and Wang, J. J. (2017). Concrete-filled steel tube arch bridges in China. Engineering, 4(1), 143–155. https://doi.org/10.1016/j.eng.2017.12.003 DOI: https://doi.org/10.1016/j.eng.2017.12.003
Zheng, X., Zhou, Y., Qu, Q., and Wu, W. (2012). Analysis of stability and influences of temporary cross bracings of PC tied arch bridge at construction stages. Bridge Construction, 42(1), 67–71.
Zheng, J. (2024). Recent construction technology innovations and practices for large-span arch bridges in China. Engineering, 41(10), 110–129. https://doi.org/10.1016/j.eng.2024.05.019 DOI: https://doi.org/10.1016/j.eng.2024.05.019
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Tao Wang, Linqi Zhou, Chen Hao

This work is licensed under a Creative Commons Attribution 4.0 International License.