Bridge rating using in-service data in the presence of strength deterioration and correlation in load processes

This paper presents a probability-based methodology for load rating bridges that can accommodate detailed site-specific in-service structural deterioration and response data in a load and resistance factor rating (LRFR) format. The use of site-specific structural response allows the elimination of a substantial portion of modelling uncertainty in live load characterization. Inclusion of structural ageing allows the bridge owner the choice to rate for longer intervals than, say, the usual two-year inspection cycle. This methodology allows the live load-effect sequence on bridges to be statistically stationary with a weakened mixing-type dependence that asymptotically decreases to zero with increasing separation in time, instead of making the common assumption of independent and identically distributed sequences of live loads. In addition, uncertainties in field measurement, modelling uncertainties and Bayesian updating of the empirical distribution function are considered to obtain an extreme value distribution of the time-dependent maximum live load. Gross section loss due to corrosion occurring with a random rate governed by an exponentiated Ornstein-Uhlenbeck type stochastic noise is considered. An illustrative example utilizes in-service peak strain data from ambient traffic collected on a high-volume steel girder bridge. In-service load and ageing resistance factor rating (ISLARFR) equations corresponding to plastic collapse of critical girder cross-section over a range of service lives are developed.

[1]  M. R. Leadbetter,et al.  Extremes and Related Properties of Random Sequences and Processes: Springer Series in Statistics , 1983 .

[2]  Michel Ghosn DEVELOPMENT OF TRUCK WEIGHT REGULATIONS USING BRIDGE RELIABILITY MODEL , 2000 .

[3]  Richard L. Smith,et al.  Estimating the Extremal Index , 1994 .

[4]  J. Angus The Asymptotic Theory of Extreme Order Statistics , 1990 .

[5]  B. Ellingwood,et al.  Reliability-based condition assessment of steel containment and liners , 1996 .

[6]  Baidurya Bhattacharya The Extremal Index and the Maximum of a Dependent Stationary Pulse Load Process Observed above a High Threshold , 2008 .

[7]  Bruce Ellingwood,et al.  Development of a probability based load criterion for American National Standard A58 , 1980 .

[8]  J. D. T. Oliveira,et al.  The Asymptotic Theory of Extreme Order Statistics , 1979 .

[9]  Ishay Weissman,et al.  On blocks and runs estimators of the extremal index , 1998 .

[10]  F Moses,et al.  Load Capacity Evaluation of Existing Bridges , 1987 .

[11]  C. Gardiner Handbook of Stochastic Methods , 1983 .

[12]  Tailen Hsing,et al.  Extremal Index Estimation for a Weakly Dependent Stationary Sequence , 1993 .

[13]  F Moses,et al.  CALIBRATION OF LOAD FACTORS FOR LRFR BRIDGE EVALUATION , 2001 .

[14]  Harry W. Shenton,et al.  A SYSTEM FOR MONITORING LIVE LOAD STRAIN IN BRIDGES , 2000 .

[15]  J. Angus Extreme Value Theory in Engineering , 1990 .

[16]  Robert E. Melchers,et al.  Probabilistic Models for Corrosion in Structural Reliability Assessment—Part 2: Models Based on Mechanics , 2003 .

[17]  S. Swain Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences , 1984 .

[18]  Michael J. Chajes,et al.  Reliability-Based Load and Resistance Factor Rating Using In-Service Data , 2005 .

[19]  M. Komp Atmospheric corrosion ratings of weethering steels ― calculation and significance , 1987 .

[20]  R. Rackwitz,et al.  Structural reliability under combined random load sequences , 1978 .

[21]  C. W. Gardiner,et al.  Handbook of stochastic methods - for physics, chemistry and the natural sciences, Second Edition , 1986, Springer series in synergetics.

[22]  Andrzej S. Nowak,et al.  CALIBRATION OF LRFD BRIDGE DESIGN CODE , 1999 .

[23]  Baidar Bakht,et al.  BRIDGE TESTING - A SURPRISE EVERY TIME , 1990 .

[24]  F Moses,et al.  BRIDGE RATING THROUGH NONDESTRUCTIVE LOAD TESTING - TECHNICAL REPORT: SUPPLEMENT TO NCHRP RESEARCH RESULTS DIGEST NO. 234 , 1998 .

[25]  Bryan E. Little,et al.  American Association of State Highway and Transportation Officials. Highway Drainage Guidelines American Association of State Highway and Transportation Officials. LRFD Bridge Design Specifications , 2000 .