Reliability-based bridge assessment using enhanced Monte Carlo to simulate extreme traffic loading

A framework is presented for the assessment of the safety of a bridge deck under actual traffic loading using an enhanced Monte Carlo method which attempts to reduce computational cost while preserving the advantages of more conventional, computationally intensive, simulation. To generate the bridge loading scenarios, an extensiveWeigh-in-Motion (WIM) database is used to calibrate a sophisticated simulation model of two-directional traffic. Traffic and vehicle characteristics are generated from statistical distributions derived from measured traffic data. Two examples are used in this study to assess the usefulness and accuracy of the enhanced method. In the first, a simple example is used for which the exact theoretical probability of failure is available. Hence, the error in estimation can be assessed directly. In the second, 'long-run' simulations are used to generate a very large database of load effects from which very accurate estimates can be deduced of lifetime maximum effects. © 2013 Taylor & Francis Group, London.

[1]  Tommy H.T. Chan,et al.  Bridge live load models from WIM data , 2002 .

[2]  Andrzej S. Nowak,et al.  Effect of Truck Loads on Bridges , 1993 .

[3]  Eugene J. O'Brien,et al.  Monte Carlo simulation of extreme traffic loading on short and medium span bridges , 2013 .

[4]  Eugene J. O'Brien,et al.  Importance of the Tail in Truck Weight Modeling for Bridge Assessment , 2010 .

[5]  A.C.W.M. Vrouwenvelder,et al.  TRAFFIC LOADS ON BRIDGES , 1993 .

[6]  Colin Christopher Caprani,et al.  Bridge assessment loading : a comparison of West and Central/East Europe , 2006 .

[7]  Michel Ghosn,et al.  Protocols for Collecting and Using Traffic Data in Bridge Design , 2008 .

[8]  Andrzej S. Nowak,et al.  Live load model for highway bridges , 1993 .

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

[10]  Eugene J. O'Brien,et al.  Traffic load modelling and factors influencing the accuracy of predicted extremes , 2005 .

[11]  R. Fisher,et al.  Limiting forms of the frequency distribution of the largest or smallest member of a sample , 1928, Mathematical Proceedings of the Cambridge Philosophical Society.

[12]  B. Gnedenko Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire , 1943 .

[13]  A. Naess,et al.  System reliability analysis by enhanced Monte Carlo simulation , 2009 .

[14]  Colin Christopher Caprani,et al.  Headway modelling for traffic load assessment of short to medium span bridges , 2005 .

[15]  Andrzej S. Nowak,et al.  BRIDGE LIVE-LOAD MODELS , 1991 .

[16]  R. Iman,et al.  A distribution-free approach to inducing rank correlation among input variables , 1982 .

[17]  Bruce R. Ellingwood,et al.  Formulation of load factors based on optimum reliability , 1991 .

[18]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[19]  Colin Christopher Caprani,et al.  Statistical Computation for Extreme Bridge Traffic Load Effects , 2006 .

[20]  Geoffrey J. McLachlan,et al.  Characteristic traffic load effects from a mixture of loading events on short to medium span bridges , 2008 .

[21]  E. Gumbel,et al.  Les valeurs extrêmes des distributions statistiques , 1935 .

[22]  Andrzej S. Nowak Reply: Load model for bridge design code , 1995 .

[23]  Simon F. Bailey,et al.  Site specific probability distribution of extreme traffic action effects , 1999 .

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

[25]  D I Cooper,et al.  THE DETERMINATION OF HIGHWAY BRIDGE DESIGN LOADING IN THE UNITED KINGDOM FROM TRAFFIC MEASUREMENTS , 1995 .

[26]  Andrzej S. Nowak,et al.  Load model for bridge design code , 1994 .