Probability Model and Reliability Analysis of Cable Stress for Cable-Stayed Bridge

Xiao-Yan Yang, Jin-Xin Gong, Yin-Hui Wang, Bo-Han Xu, Ji-Chao Zhu


The aim of this paper is to investigate the time-varying effect of stay cable of long-span cable-stayed bridges subject to vehicle load. The analysis has been carried out on the Su-Tong cable-stayed bridge in Jiangsu, China that has the second-longest span among the completed composite-deck cable-stayed bridges in the world currently. Probability models of vehicle load in each lane (fast lane, middle lane and slow lane) and cable stress under random vehicle load were developed based on the stochastic process theory. The results show the gross vehicle weight follows lognormal distribution or multi-peak distribution, and the time-interval of the vehicle follows a lognormal distribution. Then, the probability function of maximum cable stress was determined using up-crossing theory. Finally, the reliability of stay cable under random vehicle load was analysed. The reliability index ranges from 9.59 to 10.82 that satisfies the target reliability index of highway bridge structure of finished dead state.


cable-stayed bridge; cable stress; probability model; reliability; vehicle load.

Full Text:



Calcada, R.; Cunha, A.; Delgado, R. 2005. Analysis of Traffic-Induced Vibrations in a Cable-Stayed Bridge. Part II: Numerical Modeling and Stochastic Simulation, Journal of Bridge Engineering 10(4): 386–397.

Chen, Y.; Feng, M. Q.; Tan, C. A. 2006. Modeling of Traffic Excitation for System Identification of Bridge Structures, Computer-Aided Civil and Infrastructure Engineering 21(1): 57–66.

Ditlevsen, O. 1994. Traffic Loads on Large Bridges Modeled as White Noise Fields, Journal of Engineering Mechanics 120(4): 681–694.

Faber, M. H.; Engelund, S.; Rackwitz, R. 2003. Aspects of Parallel Wire Cable Reliability, Structural Safety 25(2): 201–225.

Helmi, K.; Bakht, B.; Mufti, A. 2014. Accurate Measurements of Gross Vehicle Weight Through Bridge Weigh-in-Motion: aCase Study, Journal of Civil Structural Health Monitoring 4(3): 195–208.

Jacob, B. A. 1991. Methods for the Prediction of Extreme Vehicular Loads and Load Effects on Bridges. Report of Subgroup 8, Eurocode 1.3: Traffic Loads on Bridges. Paris.

Li, Y. H.; Bao, W. G. 1997. Structural Reliability and Probability Limit State Design of Highway Bridge Structure. Beijing: China Communications Press. In Chinese

Li, X.; Wu, Y.; Shen, S. Z. 2008. Resistance Partial Factor for High Strength Steel Roads and Spiral Strands, China Civil Engineering Journal 41(9): 8–13. (in Chinese)

Madsen, H. 2007. Time Series Analysis. Boca Raton: Chapman & Hall/CRC Press.

Miao, T. J.; Chan, T. H. T. 2002. Bridge Live Load Models from WIM Data, Engineering Structures 24(8): 1071–1084.

Moses, F. 2001. Calibration of Load Factors for LRFR Bridge Evaluation. NCHRP 454, Transportation Research Board, National Research Council, Washington, D. C. 62 p.

Mullard, J. A.; Stewart, M. G. 2009. Stochastic Assessment of Timing and Efficiency of Maintenance for Corroding RC Structures, Journal of Structural Engineering 135(8): 887–895.

O’Connor, A.; O’Brien, E. J. 2005. Traffic Load Modelling and Factors Influencing the Accuracy of Predicted Extremes, Canadian Journal of Civil Engineering 32(1): 270–278.

Oh, B. H.; Lew, Y.; Choi, Y. C. 2007. Realistic Assessment for Safety and Service Life of Reinforced Concrete Decks in Girder Bridges, Journal of Bridge Engineering 12(4): 410–418.

OBrien, E. J.; Schmidt, F.; Hajializadeh, D.; Zhou, X.-Y.; Enright, B.; Caprani, C. C.; Wilson, S.; Sheils, E. 2015. A Review of Probabilistic Methods of Assessment of Load Effects in Bridges, Structural Safety 53: 44–56.

O’Connor, A.; Jacob, B.; O’Brien, D. J.; Prat, M. 1998. Effects of Traffic Loads on Road Bridges-Preliminary Studies for the Re-Asessment of the Traffic Load Model for Eurocode 1, Part 3, in Pre-Proc. 2nd European Conference on Weigh-in-Motion of Road Vehicles. European Commission, Luxembourg, 231: 242., Paris, France.

Sun, L. 2015. Stochastic Projection-Factoring Method Based on Piecewise Stationary Renewal Processes for Mid-and Long- Term Traffic Flow Modeling and Forecasting, Transportation Science 50(3): 998–1015.

Wang, X.; Wu, Z.; Wu, G.; Zhu, H.; Zen, F. 2013. Enhancement of Basalt FRP by Hybridization for Long-Span Cable-Stayed Bridge, Composites Part B: Engineering 44(1): 184–192.

Xi, Z.; Xi, Y.; Xiong, H. 2014. Ultimate Load Capacity of Cable-Stayed Bridges with Different Deck and Pylon Connections, Journal of Bridge Engineering 19(1): 15–33.

Xu, T. X.; Li, Y.; Wu, Z. W. 2015. Vehicle Load Spectrum Simulation of Long-Span Bridges, Key Engineering Materials 648: 35–44.

Zhang, Q. W.; Chang, T. Y. P.; Chang, C. C. 2001. Finite-Element Model Updating for the Kap Shui Mun Cable-Stayed Bridge, Journal of Bridge Engineering 6(4): 285–293.

Zhou, Y. F.; Chen, S. 2015. Numerical Investigation of Cable Breakage Events on Long-Span Cable-Stayed Bridges under Stochastic Traffic and Wind, Engineering Structures 105: 299–315.

Zhang, X. G.; Chen, A. R. 2010. Sutong Bridge Design and Structural Performance. Beijing: China Communications Press. (in Chinese)

DOI: 10.3846/bjrbe.2017.31


  • There are currently no refbacks.

Copyright (c) 2017 Vilnius Gediminas Technical University (VGTU) Press Technika