Fatigue Life of Composite Truss Used to Strengthen the Prestressed Concrete Box Girder Bridge: A Case Study
Publication: Journal of Performance of Constructed Facilities
Volume 38, Issue 5
Abstract
The study assesses the fatigue life of a composite truss (CT) employed in strengthening the Xiuzhen River Bridge. Initially, weigh-in-motion data of the bridge undergo analysis, focusing on parameters such as traffic volume, vehicle model and position, velocity, vehicle distance, and gross vehicle weight. These parameters characterize actual vehicle flow loads, evaluated for goodness of fit using the Kolmogorov–Smirnov test. A stochastic traffic model is then generated via a combined Monte Carlo (MC) method and intelligent driver model (IDM). The MC method establishes a macroscopic traffic flow, while the IDM simulates microscopic driver behavior. Subsequently, a finite element model for the Xiuzhen River Bridge is established, and experiments and simulations are conducted. Results from field load and modal experiments validate the finite element analysis, confirming the reasonable margin of error and thereby ensuring the precise prediction of the fatigue behavior of the bridge. Subsequently, a stochastic traffic model is implemented on the bridge through an ABAQUS subroutine. The stress-time curves of the crucial nodes and components of the CT are obtained and converted to fatigue stress spectra using the rain-flow counting method. Finally, the Miner fatigue damage cumulative rule and min-unzipping method assess the life of the CT, unveiling a computed fatigue life of 92.39 years.
Practical Applications
The results of this study indicate that the fatigue life of the composite truss used to strengthen prestressed box girder bridges is approximately 92.39 years. Therefore, it is necessary to repair the composite truss before reaching this service life. In addition, the study introduces a numerical analysis method for evaluating the fatigue life of bridge subcomponents based on weigh-in-motion systems. This method involves analyzing the distribution of traffic loads on the bridge deck, combined with the Monte Carlo method and intelligent drive model, to generate random traffic flows using MATLAB. Subsequently, these random traffic flows are applied to a validated finite element model, and the fatigue life of subcomponents is determined using the Miner fatigue damage accumulation rule and the min-unzipping method. This approach provides engineers with a reliable reference for assessing the fatigue life of bridge subcomponents.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The authors gratefully appreciate the financial support of the National Natural Science Foundation of China (52078122) and the WIM system data provided by Jiangsu Eastern Expressway Management Co., Ltd. In addition, we would like to thank Editage (www.editage.com) for English language editing.
References
AASHTO. 2002. AASHTO LRFD bridge design specifications. Washington, DC: AASHTO.
Abendroth, R. E., F. W. Klaiber, and M. W. Shafer. 1995. “Diaphragm effectiveness in prestressed-concrete girder bridges.” J. Struct. Eng. 121 (9): 1362–1369. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:9(1362).
Adjenughwure, K., G. Klunder, J. Hogema, and R. Horst. 2023. “Monte Carlo-based microsimulation approach for estimating the collision probability of real traffic conflicts.” Transp. Res. Rec. 2677 (9): 314–326. https://doi.org/10.1177/03611981231159124.
Aguero, B. P., R. E. Christenson, and A. S. Lobo. 2023. “Utilizing kriging metamodeling to provide practical and effective bridge weigh-in-motion.” J. Bridge Eng. 28 (2): 04022138. https://doi.org/10.1061/JBENF2.BEENG-5760.
Bernard, E., and J. O. Eugene. 2013. “Monte Carlo simulation of extreme traffic loading on short and medium span bridges.” Struct. Infrastruct. Eng. 9 (12): 1267–1282. https://doi.org/10.1080/15732479.2012.688753.
Chen, C., and C. Q. Yang. 2019. “Experimental and simulation studies on the mechanical performance of T-girder bridge strengthened with transverse connection.” J. Perform. Constr. Facil. 33 (5): 04019055. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001318.
Chen, C., C. Q. Yang, Y. Pan, H. L. Zhang, and D. B. Hans. 2021a. “Parameters analysis and design of transverse connection strengthening prestressed concrete T-girder bridge.” Struct. Concr. 22 (6): 3385–3395. https://doi.org/10.1002/suco.202100040.
Chen, C., C. Q. Yang, Y. Pan, H. L. Zhang, and D. B. Hans. 2021b. “Simulation and design considerations on transverse connection of prestressed concrete T-girder bridge.” Int. J. Steel Struct. 21 (4): 1182–1196. https://doi.org/10.1007/s13296-021-00495-w.
Chen, L. F., and B. A. Graybeal. 2021. “Modeling structural performance of second-generation ultrahigh-performance concrete Pi-girders.” J. Bridge Eng. 17 (4): 634–643. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000301.
Chenug, M. S., and W. C. Li. 2003. “Probabilistic fatigue and fracture analyses of steel bridges.” Struct. Saf. 25 (3): 245–262. https://doi.org/10.1016/S0167-4730(02)00067-X.
Chrssanthopoulps, M. K., and T. D. Righiniotis. 2006. “Fatigue reliability of welded steel structures.” J. Constr. Steel Res. 62 (11): 1199–1209. https://doi.org/1199-1209.10.1016/j.jcsr.2006.06.007.
Cui, C. J., A. Chen, R. Ma, B. Wang, and S. Xu. 2019. “Fatigue life estimation for suspenders of a three-pylon suspension bridge based on vehicle–bridge-interaction analysis.” Materials 12 (16): 2617. https://doi.org/10.3390/ma12162617.
Expert Committee of the Ministry of Transport. 2002. General drawing of highway bridges. Beijing: People’s Communications Press.
Ge, L. F., D. H. Dan, Z. J. Liu, and X. Ruan. 2022. “Intelligent simulation method of bridge traffic flow load combining machine vision and weigh-in-motion monitoring.” IEEE Trans. Intell. Transp. Syst. 23 (9): 15313–15328. https://doi.org/10.1109/TITS.2022.3140276.
He, L. J., and X. S. Wang. 2023. “Calibrating car-following models on urban streets using naturalistic driving data.” J. Transp. Eng. Part A. Syst. 149 (4): 04023011. https://doi.org/10.1061/JTEPBS.0000745.
Hou, P., C. Q. Yang, J. Yang, and Y. Pan. 2024. “Study on the mechanical performance of the Xiuzhen River bridge strengthened using K-brace composite trusses.” KSCE J. Civ. Eng. 28 (2): 860–872. https://doi.org/10.1007/s12205-023-1045-5.
Hou, P., J. Yang, Y. Pan, C. J. Ma, W. P. Du, C. Q. Yang, and Y. Zhang. 2022. “Experimental and simulation studies on the mechanical performance of concrete T-Girder bridge strengthened with K-Brace composite trusses.” Structures 43 (Sep): 479–492. https://doi.org/10.1016/j.istruc.2022.06.069.
Hu, Z. J., X. Li, and Y. I. Shah. 2022. “Simplified method for lateral distribution factor of the live load of prefabricated concrete box-girder bridges with transverse post-tensioning.” KSCE J. Civ. Eng. 26 (8): 3460–3470. https://doi.org/10.1007/s12205-022-0757-2.
Karira, H., D. Mangnejo, A. Kumar, T. H. Ali, and S. N. R. Shah. 2023. “Investigation of effects of twin excavations effects on stability of a 20-storey building in sand: 3D finite element approach.” Geomech. Eng. 32 (4): 427–443. https://doi.org/10.12989/gae.2023.32.4.427.
Kim, S. H., S. W. Lee, and H. S. Mha. 2001. “Fatigue reliability assessment of an existing steel railroad bridge.” Eng. Struct. 23 (10): 1203–1211. https://doi.org/10.1016/S0141-0296(01)00038-4.
Lee, J., S. Kim, and Y. J. Kang. 2022. “Improved design of intermediate diaphragm spacing in horizontally curved steel box bridges.” J. Constr. Steel Res. 198 (Nov): 107488. https://doi.org/10.1016/j.jcsr.2022.107488.
Li, C. X., Z. Feng, R. S. Pan, L. Ke, J. He, and S. Dong. 2020a. “Experimental and numerical investigation on the anchorage zone of prestressed UHPC box-girder bridge.” J. Bridge Eng. 25 (6): 1–12. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001556.
Li, L. F., Z. H. Cheng, W. Feng, and X. H. Liu. 2020b. “Study on the effect of unequal transverse bracing systems on the transverse load distribution of steel-concrete composite bridges.” J. Railway Sci. Eng. 17 (11): 2832–2839. https://doi.org/10.19713/j.cnki.43-1423/u.T20191137.
Li, X., Z. J. Hu, and Y. I. Shah. 2022. “Transverse connection performance of prefabricated PC box girder bridge with transverse prestress.” Int. J. Civ. Eng. 20 (8): 957–966. https://doi.org/10.1007/s40999-022-00708-1.
Liang, Y. Z., and F. Xiong. 2019. “Multi-parameter dynamic traffic flow simulation and vehicle load effect analysis based on probability and random theory.” KSCE J. Civ. Eng. 23 (8): 3581–3591. https://doi.org/10.1007/s12205-019-2121-8.
Liang, Y. Z., and F. Xiong. 2020. “Study on fatigue load model of highway bridges: A case in Southeast China.” Gradevinar 72 (1): 21–32. https://doi.org/10.14256/JCE.2664.2019.
Lin, S. X. 2020. “Fatigue damage analysis of typical details of orthotropic steel bridge deck.” [In Chinese.] Bridge Constr. 50 (4): 54–60. https://doi.org/10.3969/j.issn.1003-4722.20200.04.09.
Lu, F. W., S. P. Li, and G. J. Sun. 2007. “Nonlinear equivalent simulation of mechanical properties of expansive concrete-filled steel tube columns.” Adv. Struct. Eng. 10 (3): 273–281. https://doi.org/10.1260/136943307781422271.
Lu, H. L., D. C. Sun, and J. Hao. 2023. “Random traffic flow simulation of heavy vehicles based on R-Vine copula model and improved Latin hypercube sampling method.” Sensors 23 (5): 2795. https://doi.org/10.3390/s23052795.
Lui, E., Y. Liu, and M. Oguzmert. 2006. “Effects of diaphragm spacing and stiffness on the dynamic behavior of curved steel bridges.” Steel Struct. 6 (2006): 163–174.
MathWorks. 2021. MATLAB signal processing toolbox user’s guide. Natick, MA: MathWorks.
Miner, M. A. 1945. “Cumulative damage in fatigue.” J. Appl. Mech., Trans. ASME 12 (3): A159–A164. https://doi.org/10.1115/1.4009458.
MoC (Ministry of Construction). 2016. Technical specification for testing concrete strength with drilled core method. JGJ/T 384. Beijing: Moc.
Niu, Y., B. Liu, Y. Zhao, S. Rong, and P. Huang. 2014. “Diaphragm damage of precast concrete T-Shape girder bridge: Analysis and Strengthening.” Open Civ. Eng. J. 8 (1): 434–438. https://doi.org/10.2174/1874149501408010434.
Obrien, E. J., and C. C. Caprani. 2005. “Headway modelling for traffic load assessment of short to medium span bridges.” Struct. Eng. 83 (16): 33–36.
Paris, P. C. 1964. The fracture mechanics approach to fatigue. Syracuse, NY: Syracuse University Press.
Qin, D. M., X. S. Wang, A. P. Tarko, Q. M. Guo, and J. C. Lizarazo. 2023. “Consistency analysis of drivers’ car-following behaviors.” J. Transp. Eng. Part A. Syst. 149 (4): 04023010. https://doi.org/10.1061/JTEPBS.TEENG-7513.
Song, Z. Y., and H. T. Ding. 2023. “Modeling car-following behavior in heterogeneous traffic mixing human-driven, automated and connected vehicles: Considering multitype vehicle interactions.” Nonlinear Dyn. 111 (12): 11115–11134. https://doi.org/10.1007/s11071-023-08377-y.
Tobias, D. H., and D. A. Foutch. 1997. “Reliability-based method for fatigue evaluation of railway bridges.” J. Bridge Eng. 2 (2): 53–60. https://doi.org/10.1061/(ASCE)1084-0702(1997)2:2(53).
Treiber, M., A. Hennecke, and D. Helbing. 2000. “Congested traffic states in empirical observations and microscopic simulations.” Phys. Rev. E. 62 (2): 1805–1824. https://doi.org/10.1103/PhysRevE.62.1805.
Wang, F. Y., and Y. L. Xu. 2019. “Traffic load simulation for long-span suspension bridges.” J. Bridge Eng. 24 (5): 05019005. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001381.
Xu, C. J., H. G. Lei, and G. Q. Wang. 2023. “Fatigue life and fatigue reliability assessment for long-span spatial structure based on long-term health monitoring data.” In Vol. 47 of Structures, 586–594. Amsterdam, Netherlands: Elsevier. https://doi.org/10.1016/j.istruc.2022.11.104.
Xu, F. J. 2019. “Study on the transverse connection strengthening of T-girder bridge with composite truss.” [In Chinese.] Master’s thesis, School of Civil Engineering, Southeast Univ.
Yang, C. Q., W. P. Du, P. Hou, F. W. Zhu, Y. J. Chen, C. J. Ma, Y. Pan, and H. L. Zhang. 2022. “Adding composite truss to improve mechanical properties of reinforced concrete T-girder bridge.” Adv. Struct. Eng. 25 (10): 2058–2075. https://doi.org/10.1177/13694332221086705.
Yin, X. F., Z. Huang, and Y. Liu. 2023. “Framework of vehicle-bridge coupled analysis for suspension bridges under refined vehicle modeling considering realistic traffic behavior.” In Vol. 47 of Structures, 1991–2005. Amsterdam, Netherlands: Elsevier. https://doi.org/10.1016/j.istruc.2022.12.027.
Yu, S., C. Yan, C. Y. Liu, and J. P. Ou. 2023. “Fatigue life evaluation of parallel steel-wire cables under the combined actions of corrosion and traffic load.” Struct. Control Health Monit. 2023 (1): 5806751. https://doi.org/10.1155/2023/5806751.
Zhao, Z. S., and N. Uddin. 2013. “Determination of dynamic amplification factors using site-specific B-WIM data.” J. Bridge Eng. 19 (1): 72–82. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000491.
Zhao, Z. W., A. Haldar, and J. F. L. Breen. 1994. “Fatigue-reliability evaluation of steel bridge.” J. Struct. Eng. 120 (5): 1608–1623. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:5(1608).
Zhou, J. Y., C. C. Caprani, and L. W. Zhang. 2021. “On the structural safety of long-span bridges under traffic loadings caused by maintenance works.” Eng. Struct. 240 (Aug): 112407. https://doi.org/10.1016/j.engstruct.2021.112407.
Information & Authors
Information
Published In
Journal of Performance of Constructed Facilities
Volume 38 • Issue 5 • October 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Jan 22, 2024
Accepted: Apr 18, 2024
Published online: Jul 13, 2024
Published in print: Oct 1, 2024
Discussion open until: Dec 13, 2024
ASCE Technical Topics:
- Analysis (by type)
- Bridge engineering
- Bridges
- Bridges (by material)
- Concrete bridges
- Driver behavior
- Engineering fundamentals
- Engineering mechanics
- Fatigue (material)
- Fatigue life
- Finite element method
- Infrastructure
- Material mechanics
- Material properties
- Materials engineering
- Methodology (by type)
- Models (by type)
- Numerical analysis
- Numerical methods
- Structural engineering
- Structural members
- Structural systems
- Traffic engineering
- Traffic flow
- Traffic management
- Traffic models
- Transportation engineering
- Trusses
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