Reliability-Based Modeling of Bridge Deterioration Hazards
Publication: Journal of Bridge Engineering
Volume 15, Issue 6
Abstract
This paper presents the results from a study on the deterioration patterns of highway bridges, using estimated sojourn times of bridge components in various deterioration states (condition). With emphasis on the age that the bridge leaves a specified threshold condition state, the uncertainties in the estimated times are best fitted as Weibull probability distribution functions. Using both complete observations’ data and the right-censored data from a 13-year span condition historical data for the bridges, the maximum likelihood estimates are obtained for parameters of the fitted distributions, and reliability analyses are conducted for the various categories of bridges, by the type of roadways carried (interstate, noninterstate, and local roads), and the material type, i.e., cast-in-place concrete decks; prestressed concrete superstructures; steel superstructures, etc. The survival and hazard functions are developed and interpreted, including a combination of the deterioration hazard functions with the hazard functions of the effects of hurricane winds. It was observed that all the bridge categories deteriorated faster with age (nonexponential times), and bridge components located on the interstate roadways are deteriorating faster than similar bridges on noninterstate roadways. Asset worth of bridges are indicated, based on the reliability estimates.
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References
Abernethy, R. B. (1996). The new Weibull handbook, 2nd Ed.
Blanchard, B. S., and Fabrycky, W. J. (2006). Systems engineering and analysis, 4th Ed., Prentice-Hall, Upper Saddle River, N.J.
Blischke, W. R., and Murthy, P. D. N. (2000). Reliability: Modeling, prediction, and optimization, Wiley, New York.
Dieter, G. E. (2000). Engineering design: A materials and processing approach, 3rd Ed., McGraw-Hill, New York.
Federal Highway Administration (FHWA). (2005). “Recording and coding guide for the structure inventory and appraisal of the nations bridges.” Rep. No. FHWA-PD-96-001, updated 2005 version, Office of Engineering, Bridge Div.
FloridaHurricane. (2007). “Florida hurricane tips info maps safety preparations.” ⟨http://www.floridahurricane.net/⟩ (June 2, 2007).
Kottegoda, N. T., and Rosso, R. (1997). Probability, statistics, and reliability for civil and environmental engineers, McGraw-Hill, New York.
Minitab. (2007). User's reference manual, statistical software, English version 15 for Windows, MiniTab.
NIST/SEMATECH. (2007). “e-handbook of statistical methods.” ⟨http://www.itl.nist.gov/div898/handbook/⟩ (Oct. 7, 2007).
Noortwijk, v. J. M., and Klatter, H. E. (2004). “The use of lifetime distributions in bridge maintenance and replacement modeling.” Comput. Struct., 82, 1091–1099.
Osaki, S. (1985). Stochastic system reliability modeling, series in modern applied mathematics, Vol. 5, World Scientific, Philadelphia.
Yang, S. -I., Frangopol, D. M., Kawakami, Y., and Nerves, L. C. (2006). “The use of lifetime functions in the optimization of interventions on existing bridges considering maintenance and failure costs.” Reliab. Eng. Syst. Saf., 91, 698–705.
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© 2010 ASCE.
History
Received: May 7, 2008
Accepted: Oct 1, 2009
Published online: May 22, 2010
Published in print: Nov 2010
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