Case Studies
May 7, 2020

Cable Reliability Assessments for Cable-Stayed Bridges using Identified Tension Forces and Monitored Loads

Publication: Journal of Bridge Engineering
Volume 25, Issue 7

Abstract

The reliability of stay cables is critical to the safety of cable-stayed bridges. This paper investigates and compares reliability assessments of stay cables by using identified cable tension forces and monitored bridge loads. One-year monitoring data from a cable-stayed bridge was used to characterize the probability distributions of cable forces and pertinent bridges loads including temperature of the cable, wind load, and vehicle load. The results show that, for the bridge under study, the cable temperature, the wind load, and the vehicle weight obey the Beta distribution, whereas the axle weight obeys the lognormal distribution, indicating deviations from the design codes. Subsequently, two performance functions are proposed to compute the cable reliability index, where one directly uses the monitored cable forces and the other is based on the monitored loads and the finite element method simulation of the bridge. The computed index based on the monitored cable forces and the performance function I is larger than that based on the monitored loads and the performance function II. The reasonings attributed to the differences and the implication of the present findings in structural design and optimization are discussed.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The research described in this paper was supported by the National Nature Science Foundation of China (Grant No. 51478347), the National Key Research and Development Program of China (Grant No. 2017YFC1500605), and the State key Laboratory of Disaster Reduction in Civil Engineering (Grant No. SLDRCE15-A-02), which is greatly appreciated.

References

AASHTO. 2017. AASHTO LRFD bridge design specifications. 8th ed. Washington, DC: AASHTO.
Akgul, F., and D. Frangopol. 2004. “Bridge rating and reliability correlation: Comprehensive study for different bridge types.” J. Struct. Eng. 130 (7): 1063–1074. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:7(1063).
Akpan, U., T. Koko, B. Ayyub, and T. Dunbar. 2015. “Reliability-based optimal design of steel box structures. II: Ship structure applications.” J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 1 (3): 04015010. https://doi.org/10.1061/AJRUA6.0000830.
Ayyub, B., U. Akpan, T. Koko, and T. Dunbar. 2015. “Reliability-based optimal design of steel box structures. I: Theory.” J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 1 (3): 04015009. https://doi.org/10.1061/AJRUA6.0000829.
Bergmeister, H., D. Novák, R. Pukl, and V. Červenka. 2009. “Structural assessment and reliability analysis for existing engineering structures, theoretical background.” Struct. Infrastruct. Eng. 5 (4): 267–275. https://doi.org/10.1080/15732470601185612.
CEN (European Committee for Standardization). 2002. Basis of structural design. EN 1990: Eurocode. Brussels, Belgium: CEN.
Christos, E. P., and H. Yeung. 2001. “Uncertainty estimation and monte carlo simulation method.” Flow Meas. Instrum. 12 (4): 291–298. https://doi.org/10.1016/S0955-5986(01)00015-2.
Estes, A., and D. Frangopol. 2005. “Load rating versus reliability analysis.” J. Struct. Eng. 131 (5): 843–847. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:5(843).
Faravelli, L. 1989. “Response-surface approach for reliability analysis.” J. Eng. Mech. 115 (12): 2763–2781. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:12(2763).
Frangopol, D., A. Strauss, and S. Kim. 2008. “Bridge reliability assessment based on monitoring.” J. Bridge Eng. 13 (3): 258–270. https://doi.org/10.1061/(ASCE)1084-0702(2008)13:3(258).
Ghosn, M., et al. 2016. “Reliability-based performance indicators for structural members.” J. Struct. Eng. 142 (9): 04016002. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001546.
Hohenbichler, M., and R. Rackwitz. 1981. “Non-normal dependent vectors in structural safety.” J. Eng. Mech. Div. 107 (6): 1227–1238.
ISO (International Organization for Standardization). 2015. General principles on reliability for structures. ISO 2394. Geneva, Switzerland: ISO.
JCSS (Joint Committee on Structural Safety). 2001. Probabilistic model code. Denmark: JCSS.
Kim, B., and T. Park. 2007. “Estimation of cable tension force using the frequency-based system identification method.” J. Sound Vib. 304 (3–5): 660–676. https://doi.org/10.1016/j.jsv.2007.03.012.
Kwon, O., E. Kim, and S. Orton. 2011. “Sensitivity of reliability index of bridge girders to random variables and average daily truck traffic.” In Proc., 2011 Structures Congress, 2251–2262. Las Vegas: ASCE.
Lee, Y., S. Lee, and H. Lee. 2015. “Reliability assessment of tie-down cables for cable-stayed bridges subject to negative reactions: Case study.” J. Bridge Eng. 20 (10): 04014108. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000717.
Li, H., S. Li, J. Ou, and H. Li. 2012. “Reliability assessment of cable-stayed bridges based on structural health monitoring techniques.” Struct. Infrastruct. Eng. 8 (9): 829–845. https://doi.org/10.1080/15732479.2010.496856.
Li, Y., D. Lv, and H. Sheng. 2011. “Fatigue reliability analysis of the stay cables of cable-stayed bridge under combined loads of stochastic traffic and wind.” In Bridge health monitoring, maintenance and safety, edited by Y. Liu, 23–35. Zurich, Switzerland: Trans Tech.
Manzana, N., M. Pandey, and J. van der Weide. 2019. “Probability distribution of maximum load generated by stochastic hazards modeled asshock, pulse, and alternating renewal processes.” J. Risk. Uncertain. Eng. Syst. Part A: Civ. Eng. 5 (1): 04018045. https://doi.org/10.1061/AJRUA6.0000994.
Marco, L., and G. Vincenzo. 2012. “Static and dynamic response of elastic suspended cables with thermal effects.” Int. J. Solids Struct. 49 (9): 1103–1116. https://doi.org/10.1016/j.ijsolstr.2012.01.008.
Mehrabi, A. 2006. “In-service evaluation of cable-stayed bridges, overview of available methods, and findings.” J. Bridge Eng. 11 (6): 716–724. https://doi.org/10.1061/(ASCE)1084-0702(2006)11:6(716).
Miao, T., and T. Chan. 2002. “Bridge live load models from WIM data.” Eng. Struct. 24 (8): 1071–1084. https://doi.org/10.1016/S0141-0296(02)00034-2.
Modares, M., R. Taha, and J. Mohammadi. 2014. “Reliability assessment of structures using interval uncertainty analysis.” In Proc., 2nd Int. Conf. on Vulnerability and Risk Analysis and Management and the 6th Int. Symp. on Uncertainty, Modeling, and Analysis, 204–214. Liverpool, UK: ASCE.
MOT (Ministry of Transport). 1999. Unified standard for reliability design of highway engineering structures. [In Chinese.] GBT 50283. Beijing: China Communications Publishing House.
MOT (Ministry of Transport). 2011. Standards for technical condition evaluation of highway bridges. [In Chinese.] JTGT H21. Beijing: China Communications Publishing House.
Nowak, A. 1993. “Live load model for highway bridges.” Struct. Saf. 13 (1–2): 53–66. https://doi.org/10.1016/0167-4730(93)90048-6.
Nowak, A., and M. Szerszen. 1998. “Bridge load and resistance models.” Eng. Struct. 20 (11): 985–990. https://doi.org/10.1016/S0141-0296(97)00193-4.
Rackwitz, R. 2001. “Reliability analysis: A review and some perspectives.” Struct. Saf. 23 (4): 365–395. https://doi.org/10.1016/S0167-4730(02)00009-7.
Rackwitz, R., and B. Fiessler. 1978. “Structural reliability under combined random load sequences.” Comput. Struct. 9 (5): 489–494. https://doi.org/10.1016/0045-7949(78)90046-9.
Sun, L., and L. Chen. 2015. “Free vibrations of a taut cable with a general viscoelastic damper modeled by fractional derivatives.” J. Sound Vib. 335: 19–33. https://doi.org/10.1016/j.jsv.2014.09.016.
Zhou, Y., and L. Sun. 2019a. “A comprehensive study of the thermal response of a long-span cable-stayed bridge: From monitoring phenomena to underlying mechanisms.” Mech. Syst. Sig. Process. 124: 330–348. https://doi.org/10.1016/j.ymssp.2019.01.026.
Zhou, Y., and L. Sun. 2019b. “Effects of environmental and operational actions on the modal frequency variations of a sea-crossing bridge: A periodicity perspective.” Mech. Syst. Sig. Process. 131: 505–523. https://doi.org/10.1016/j.ymssp.2019.05.063.
Zhou, Y., and L. Sun. 2019c. “Insights into temperature effects on structural deformation of a cable-stayed bridge based on structural health monitoring.” Struct. Health Monit. 18 (3): 778–791. https://doi.org/10.1177/1475921718773954.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 25Issue 7July 2020

History

Received: Sep 5, 2019
Accepted: Feb 5, 2020
Published online: May 7, 2020
Published in print: Jul 1, 2020
Discussion open until: Oct 7, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Graduate Student, Dept. of Bridge Engineering, Tongji Univ., Shanghai 200092, China. Email: [email protected]
Professor, State key Laboratory of Disaster Reduction in Civil Engineering, Tongji Univ., Shanghai 200092, China (corresponding author). ORCID: https://orcid.org/0000-0002-3570-234X. Email: [email protected]
Research Associate Professor, Dept. of Bridge Engineering, Tongji Univ., Shanghai 200092, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share