The Structural Safety Assessment of the Overloaded Members of Highway Bridges

Antanas Kudzys


A residual reliability index of load-carrying structures of existing highway bridges overloaded by unforeseen vehicular live loads is discussed. The primary and inspection structural safety margins of particular members of bridges are considered. The primary and revised survival probabilities of intact particular members are analysed. Target reliability indices of the structural members of road bridges are presented. A transformed Bayes theorem in the analysis of revised failure probabilities of overloaded members of highway bridges is recommended. The Bayesian approach is combined with the method of transformed conditional probabilities for series systems. The simple calculation of revised reliability indices of particular members is demonstrated by a numerical example.


transformed Bayes theorem; overloaded bridge; safety margin; revised reliability index

Full Text:



Bhattacharya, B. 2008. The Extremal Index and the Maximum of a Dependent Stationary Pulse Load Process Observed Above a High Threshold, Structural Safety 30(1): 34–48. DOI: 10.1016/j.strusafe.2006.05.001

Caprani, C. C.; OBrien, E. J.; McLachlan, G. J. 2008. Characteristic Traffic Load Effects Form a Mixture of Loading Events on Short to Medium Span Bridges, Structural Safety 30(5): 394–404. DOI: 10.1016/j.strusafe.2006.11.006

Czarnecki, A. A.; Nowak, A. S. 2008. Time-Variant Reliability Profiles for Steel Girder Bridges, Structural Safety 30(1): 49–64. DOI: 10.1016/j.strusafe.2006.05.002

Hall, W. B. 1998. Reliability of Service-Proven Structures, Journal of Structural Engineering 114(3): 608–624. DOI: 10.1061/(ASCE)0733-9445(1988)114:3(608)

Ellingwood, B. R. 1996. Reliability-Based Condition Assessment and LRFD for Existing Structures, Structural Safety 18(2–3): 67–70. DOI: 10.1016/0167-4730(96)00006-9

Eamon, Ch. D.; Nowak, A. S. 2004. Effect of Secondary Elements on Bridge Structural System Reliability Considering Moment Capacity, Structural Safety 26(1): 29–47. DOI: 10.1016/S0167-4730(03)00020-1

Holicky, M.; Markova, J. 2007. Reliability Differentiation and Production Quality in Codes, in Proc of the European Safety and Reliabilty Conference “Risk, Reliability and Social Safety”. Ed. by Aven, T.; Vinnem, J. E. June 25–27, 2007, London, England. London: Taylor and Francis, 1763–1768.

Hong, H. P.; Lind, N. S. 1996. Approximate Reliability Analysis Using Normal Polynomial and Simulation Results, Structural Safety 18(4): 329–339. DOI: 10.1016/S0167-4730(96)00018-5

Kudzys, A.; Kliukas, R. 2008a. Limit State and Probabilistic Formats in the Analysis of Bracing Piers of Annular Cross-Sections, The Baltic Journal of Road and Bridge Engineering 3(3): 167–173. DOI: 10.3846/1822-427X.2008.3.167-173

Kudzys, A.; Kliukas, R. 2008b. Precast Spun Concrete Piers in Road Bridges and Footbridges, The Baltic Journal of Road and Bridge Engineering 3(4): 187–197. DOI: 10.3846/1822-427X.2008.3.187-197

Kudzys, A.; Lukoševičienė, O. 2009. On the Safety Prediction of Deteriorating Structures, Mechanika 4(78): 5–11.

LeBeau, K.; Wadia-Fascetti, S. 2007. Comparative Probabilistic Initial Bridge Load Rating Model, Journal of Bridge Engineering 12(6): 785–793. DOI: 10.1061/(ASCE)1084-0702(2007)12:6(785)

Liu, M.; Frangopol, D. M.; Kim, S. 2009. Bridge Safety Evaluation Based on Monitored Live Load Effects, Journal of Bridge Engineering 14(4): 257–269. DOI: 10.1061/(ASCE)1084-0702(2009)14:4(257)

Madsen, H.O. 1987. Model Updating in Reliability Analysis, in Proc of the 5th International Conference on Application of Statistics and Probability in Soil and Structural Engineering (CASP5), May 25–29, 1987, Vancouver, Canada. Institute for Risk Research: University of Waterloo, 564–577.

Melchers, R. E. 1999. Structural Reliability Analysis and Prediction. 2nd edition. Chichester: John Wiley & Sons. 456 p. ISBN 0471987719

Stewart, M. G. 2001. Effect of Construction and Service Loads on Reliability of Existing RC Buildings, Journal of Structural Engineering 127(10): 1232–1235. DOI: 10.1061/(ASCE)0733-9445(2001)127:10(1232)

Sugiyama, T.; Yoshida, J. 2008. Failure Probability Based on LRFD and ASD Methods – Design of Two-Span Continuous Composite Two-Plate-Girder Highway Bridges in Japan, in Proc of the 5th European Conference on Steel and Composite Structures (Eurosteel 2008). Ed. by Ofner, R.; Beg, D.; Fink, J.; Greiner, R.; Unterweger, H. 3–5 September, 2008, Graz, Austria. Brussels: ECCS European Convention for Constructional Steelwork, 237–242.

Szwed, A.; Nowak, A. S.; Withiam, J. L. 2005. Reliability Analysis for Bridge Structures [CD-ROM], in Proc of the 9th International Conference on Structural Safety and Reliability of Engineering Systems and Structures (ICOSSAR 2005). Ed. by Augusti, G.; Schuëller, M.; Ciampoli, M. June 20–23, 2005, Rome, Italy. Rotterdam: Millpress, 473–478. ISBN 978-90-5966-056-4.

Vrouwenvelder, A. C. W. M. 2002. Developments Towards Full Probabilistic Design Codes, Structural Safety 24(2–4): 417–432. DOI: 10.1016/S0167-4730(02)00035-8

DOI: 10.3846/1822-427X.2009.4.149-155


Audronis Kazimieras Kvedaras
JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT  vol: 16  issue: 2  first page: 155  year: 2010  
doi: 10.3846/jcem.2010.15


  • There are currently no refbacks.

Copyright (c) 2009 Vilnius Gediminas Technical University (VGTU) Press Technika