Statistical Modeling of Coupled Shear-Moment Resistance for RC Bridge Girders
Publication: Journal of Bridge Engineering
Volume 13, Issue 4
Abstract
Many reinforced concrete bridges are posted or restricted to traffic, and repair or replacement decisions for these bridges involves both economical and safety considerations. To avoid the high costs of unnecessary replacement or repair, safety evaluation should be done with the most accurate methods available. Due to variability in material properties, geometrical properties, and methods of analysis, load carrying capacity evaluation may lead to uncertain outcomes. This paper presents a statistical model for combined shear-moment resistance of conventionally reinforced concrete bridge girders with common vintage design details and properties. New statistical data on stirrup spacing variability were developed from field measurements on in-service deck-girder bridges and these were combined with available data in the literature to model resistance uncertainty. The model offers bias factor and coefficient of variation for combined moment and shear carrying capacity per modified compression field theory. AASHTO-LRFD and ACI-318 were utilized to calculate capacity of the selected sections and strength reduction factors in AASHTO-LRFD and ACI-318 were compared using the obtained statistical parameters.
Get full access to this article
View all available purchase options and get full access to this article.
References
AASHTO. (2003a). LRFD bridge design specifications, 2nd Ed. with Interims, Washington, D.C.
AASHTO. (2003b). Manual for condition evaluation and load and resistance factor rating of highway bridges, Washington, D.C.
Akgul, F., and Frangopol, D. M. (2003). “Rating and reliability of existing bridges in a network.” J. Bridge Eng., 8(6), 383–393.
American Concrete Institute (ACI). Committee 318. (1999). Building code requirements for structural concrete and commentary, Detroit.
American Concrete Institute (ACI). Committee 318. (2005). Building code requirements for structural concrete and commentary, Detroit.
ASCE-ACI Committee 445 on Shear and Torsion. (1998). “Recent approaches to shear design of structural concrete.” J. Struct. Eng., 124(12), 1375–1417.
Collins, M. P. (1978). “Towards a rational theory for RC members in shear.” J. Struct. Div., 104(4), 649–666.
Collins, M. P., and Mitchell, D. (1985). “Evaluating existing bridge structures using the modified compression field theory.” Publication SP, American Concrete Institute, Detroit, 109–141.
Daniels, T. (2005). “Reliability based assessment using modified compression field theory and Oregon specific truck loading.” MS thesis, Oregon State Univ., Corvallis, Ore.
Ellingwood, B., Galambos, T. V., MacGregor, J. G., and Cornell, C. A. (1980). “Development of a probability based load criterion for American National Standard A58.” NBS Special Publications No. SP577, National Bureau of Standards, Washington, D.C.
Estes, A. C., and Frangopol, D. M. (2005). “Load rating versus reliability analysis.” J. Struct. Eng., 131(5), 843–847.
Federal Highway Administration (FHWA). (1996). “1996 bridge inventory.” Better Roads, 66(11), 26.
Higgins, C., Daniels, T. K., Rosowsky, D., Miller, T. H., and Yim, S. C. (2005). “Assessment and risk-ranking of conventionally reinforced concrete bridges for shear.” Transportation Research Record. 1928, Transportation Research Board, Washington, D.C., 110–117.
Higgins, C., Miller, T. H., Rosowsky, D. V., Yim, S. C., Potisuk, T., Daniels, T. K., Nicholas, B. S., Robelo, M. J., Young, A.-Y., and Forrest, R. W. (2004a). “Reliability based assessment methodology for diagonally cracked conventionally reinforced concrete deck girder bridges: An integrated approach.” SPR 350 Final Rep., Oregon Department of Transportation, Salem, Ore.
Higgins, C., and Turan, O. T. (2007). “As-built stirrup spacing variability in vintage reinforced concrete deck girders.” Project No. 07-01, Kiewit Center for Infrastructure and Transportation, Oregon State Univ., Corvallis, Ore.
Higgins, C., Yim, S. C., Miller, T. H., Robelo, M. J., and Potisuk, T. (2004b). “Remaining life of reinforced concrete beams with diagonal-tension cracks.” SPR 341 Final Rep., Oregon Department of Transportation, Salem, Ore.
Naaman, A. E., and Siriaksorn, A. (1982). “Reliability of partially prestressed beams at serviceability limit states.” J. Prestressed Concr. Inst., 27(6), 66–85.
Nowak, A. S., and Collins, K. R. (2000). Reliability of structures, McGraw-Hill Higher Education, New York.
Nowak, A. S., and Szerszen, M. M. (1998). “Bridge load and resistance models.” Eng. Struct., 20(11), 985–990.
Nowak, A. S., Yamani, A. S., and Tabsh, S. W. (1994). “Probabilistic models for resistance of concrete bridge girders.” ACI Struct. J., 91(3), 269–276.
Nowak, A. S., and Zhou, J. (1990). “System reliability models for bridges.” Struct. Safety, 7(2–4), 247–254.
Ravindra, M. K., Lind, N. C., and Siu, W. (1974). “Illustrations of reliability-based design.” J. Struct. Div., 100(9), 1789–1811.
Somo, S., and Hong, H. P. (2006). “Modeling error analysis of shear predicting models for RC beams.” Struct. Safety, 28(3), 217–230.
Stewart, M. G., Rosowsky, D. V., and Val, D. V. (2001). “Reliability-based bridge assessment using risk ranking decision analysis.” Struct. Safety, 23(4), 397–405.
Tonias, D. E. (1995). Bridge engineering, McGraw-Hill, New York.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression-field theory for reinforced concrete elements subjected to shear.” J. Am. Concr. Inst., 83(2), 219–231.
Zhou, J., and Nowak, A. S. (1990). “Reliability analysis for bridge systems.” Forensic Engineering, 2(4), 449–457.
Information & Authors
Information
Published In
Journal of Bridge Engineering
Volume 13 • Issue 4 • July 2008
Pages: 351 - 361
Copyright
© 2008 ASCE.
History
Received: Jan 16, 2007
Accepted: Oct 8, 2007
Published online: Jul 1, 2008
Published in print: Jul 2008
Authors
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.