TECHNICAL PAPERS
May 14, 2010

Time-Dependent Reliability of PSC Box-Girder Bridge Considering Creep, Shrinkage, and Corrosion

Publication: Journal of Bridge Engineering
Volume 16, Issue 1

Abstract

Bridge performance undergoes time-varying changes when exposed to aggressive environments. While much work has been done on bridge reliability under corrosion, little is known about the effects of creep and shrinkage on the reliability of concrete bridges. In this paper, the CEB-FIP model for creep and shrinkage is applied by using finite-element (FE) analysis in conjunction with probabilistic considerations. Verification is made by comparing the analytical findings with existing test data. More specifically, a time-dependent reliability assessment is made for a composite prestressed concrete (PSC) box-girder bridge exposed to a chloride environment. This realized via an advanced probabilistic FE method. The postcracking behavior of the thin-walled box girder is described using composite degenerated shell elements, and importance sampling is used to improve the efficiency of the reliability analyses. It is shown that concrete creep and shrinkage dominate during the early stages of bridge structure deterioration. This is accompanied by a decrease in reliability owing to the combined action of creep, shrinkage, and corrosion. The reliability indexes for the serviceability and the tendon yielding limit state fall below the target levels prior to the expected service life. Therefore, early maintenance and/or repair measures are required.

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Acknowledgments

The writers would like to express appreciation of the support from the National Natural Science Foundation of China under Grant Nos. NNSFC50725828 and NNSFC50608017 and 863 Program (Grant No. UNSPECIFIED2006AA04Z416).

References

AASHTO. (2004). AASHTO LRFD bridge design specifications, 3rd Ed., AASHTO, Washington, D.C.
American Concrete Institute (ACI). (1982). “Prediction of creep, shrinkage and temperature effects in concrete structures.” ACI-209R-82, Detroit.
Anderson, P. (2005). “Thirty years of measured prestress at Swedish nuclear reactor containments.” Nucl. Eng. Des., 235(21), 2323–2336.
Au, S. K., and Beck, J. L. (1999). “A new adaptive importance sampling scheme for reliability calculations.” Struct. Safety, 21(2), 135–158.
Azizinamini, A., Keeler, B., Rohde, J., and Mehrabi, A. B. (1996). “Application of a new nondestructive evaluation technique to a 25-year-old prestressed concrete girder.” PCI J., 41(3), 82–95.
Barr, P. J., Kukay, B. M., and Halling, M. W. (2008). “Comparison of prestress losses for a prestress concrete bridge made with high-performance concrete.” J. Struct. Eng., 13(5), 468–475.
Bazant, Z. P., and Chern, J. C. (1984). “Double-power logarithmic law for concrete creep.” Cem. Concr. Res., 14, 793–806.
Bazant, Z. P., and Osman, E. (1976). “Double power law for basic creep for concrete.” Mater. Struct., 9(49), 3–11.
Bazant, Z. P., and Wu, S. T. (1974). “Rate-type creep law of aging concrete based on Maxwell chain.” Mater Struct Res Test (Rilem, Paris), 7(37), 45–59.
CEB-FIP. (1994). CEB-FIP model code 1990: Design code, Thomas Telford, London.
Chouman, M. (2003a). “Assessment of methods predicting tendon loss and concrete compression loss in partially prestressed concrete.” 4th Int. Symp. on Uncertainty Modelling and Analysis (ISUMA’03), IEEE, New York, 430–435.
Chouman, M. (2003b). “Initial and long term deflection of partially prestressed concrete.” Proc., 4th Int. Symp. on Uncertainty Modeling and Analysis, IEEE, New York, 436–442.
Czarnecki, A. A., and Nowak, A. S. (2008). “Time-variant reliability profiles for steel girder bridges.” Struct. Safety, 30(1), 49–64.
Darmawan, M. S., and Stewart, M. G. (2007). “Spatial time-dependent reliability analysis of corroding pretensioned prestressed concrete bridge girders.” Struct. Safety, 29(1), 16–31.
De Borst, R. (1987). “Smeared cracking, plasticity, creep and thermal loading—A unified approach.” Comput. Methods Appl. Mech. Eng., 62, 89–110.
Deutsches Institut für Normung (DIN). (1981). “Concrete bridges, design and construction.” DIN 1075, Berlin.
DIANA user’s manual—Element library, release 9.3. (2008). TNO Building and Construction Research, Holland.
Du, Y. G., Clark, L. A., and Chan, A. H. C. (2005). “Residual capacity of corroded reinforcing bars.” Mag. Concrete Res., 57(3), 135–147.
Enright, M. P., and Frangopol, D. M. (1998). “Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion.” Eng. Struct., 20(11), 960–971.
Figiel, Ł., and Kamiński, M. (2009). “Numerical probabilistic approach to sensitivity analysis in a fatigue delamination problem of a two layer composite.” Appl. Math. Comput., 209(1), 75–90.
Gardner, N. J., and Lockman, M. J. (2001). “Design provisions for drying shrinkage and creep and normal-strength concrete.” ACI Mater. J., 98(2), 159–167.
Ghosn, M., Moses, F., and Frangopol, D. M. (2009). “Redundancy and robustness of highway bridge superstructures and substructures.” Struct. Infrastruct. Eng., 5(1), 1–12.
Goel, R., Kumar, R., and Paul, D. K. (2007). “Comparative study of various creep and shrinkage prediction models for concrete.” J. Mater. Civ. Eng., 19(3), 249–260.
González, J. A., Andrade, C., Alonso, C., and Feliú, S. (1995). “Comparison of rates of general corrosion and maximum pitting penetration on concrete embedded steel reinforcement.” Cem. Concr. Res., 25(2), 257–264.
Guo, T., and Li, A. Q. (2009). “Structural integrity loss by cracking for concrete box girder of bridges based on finite element analysis.” Int. J. Terraspace Sci. Eng., 1(1), 37–46.
Guy, A. B., and Podgaetsky, A. (2005). “Efficient random variates generator.” ⟨http://www.mathworks.com/matlabcentral/fileexchange/7309⟩ (Apr. 5, 2009).
Halew, W. M., and Russell, B. W. (2006). “Effect of allowable compressive stress at release on prestress losses and on the performance of precast, prestressed concrete bridge girders.” PCI J., 51(2), 14–25.
Hordijk, D. A. (1991). “Local approach to fatigue of concrete.” Ph.D. thesis, Delft Univ. of Technology, Delft, The Netherlands.
ISO. (1996). “General principles on reliability for structures (Revision of the first edition, ISO 2394: 1986).” ISO 2394, Genève, Switzerland.
Kowalsky, M. J., Zia, P., Wagner, M. C., and Warren, B. A. (2001). “The behavior of prestressed high-performance concrete bridge girders for US Highway 401 over the Neuse River in Raleigh, NC.” Research Rep. No. 23241-97-8, Federal Highway Administration, Washington, D.C.
Li, Y. (2004). “Effect of spatial variability on maintenance and repair decisions for concrete structures.” Ph.D. thesis, Delft Technical Univ., Delft, The Netherlands.
Li, Y. H., and Bao, W. G. (1997). Reliability and probabilistic limit state design of highway bridge structures, Communications Press, Beijing (in Chinese).
Luo, Q. Z., Wu, Y. M., Tang, J., and Li, Q. S. (2002). “Experimental studies on shear lag of box girders.” Eng. Struct., 24(4), 469–477.
McMillan, F. R. (1916). “Method of designing reinforced concrete slabs, discussion by Janni A. C.” Trans. Am. Soc. Civ. Eng., 80, 1738.
Naito, C., and Sause, R. (2008). “Investigation of damaged 12-year old prestressed concrete box beams.” J. Bridge Eng., 13(2), 139–148.
Naito, C., Sause, R., Hodgson, I., Pessiki, S., and Desai, C. (2006). “Forensic evaluation of prestressed box beams from the lake view drive over I-70 bridge.” ATLSS Rep. No. 06-13, Lehigh Univ., Bethlehem, Pa.
National Cooperative Highway Research Program (NCHRP). (2007). “Updating the calibration report for AASHTO LRFD code.” 20-07/186, Transportation Research Board, National Research Council, Washington, D.C.
Oh, B. H., and Jeon, S. J. (2004). “Advanced automatic generation scheme of prestressing tendons for efficient FE analysis of PSC shell structures.” Finite Elem. Anal. Design, 40, 913–931.
Pessiki, S., Kaczinski, M., and Wescott, H. H. (1996). “Evaluation of effective prestress force in 28-year-old prestressed concrete bridge beams.” PCI J., 41(6), 78–89.
Rajashekhar, M. R., and Ellingwood, B. R. (1995). “Reliability of reinforced-concrete cylindrical shells.” J. Struct. Eng., 121(2), 336–347.
RILEM TC-107-GCS. (1995). “Creep and shrinkage prediction models for analysis and design of concrete structures—Model B3.” Mater. Struct., 28, 357–365.
Roller, J. J., Russell, H. G., and Bruce, R. N. (1995). “Long-term performance of prestressed, pretensioned high strength concrete bridge girders.” PCI J., 43(6), 48–59.
Saiidi, M., Hutchens, E., and Gardella, D. (1998). “Bridge prestress losses in dry climate.” J. Bridge Eng., 3(3), 111–116.
Sheskin, D. J. (1997). Handbook of parametric and nonparametric statistical procedures, CRC, Boca Raton, Fla.
Stewart, M. G. (2004). “Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure.” Struct. Safety, 26(4), 453–470.
Stewart, M. G. (2009). “Mechanical behaviour of pitting corrosion of flexural and shear reinforcement and its effect on structural reliability of corroding RC beams.” Struct. Safety, 31(1), 19–30.
Stewart, M. G., and Rosowsky, D. V. (1998). “Time-dependent reliability of deteriorating reinforced concrete bridge decks.” Struct. Safety, 20(1), 91–109.
Val, D. V., and Pavel, A. T. (2008). “Probabilistic evaluation of initiation time of chloride-induced corrosion.” Reliab. Eng. Syst. Saf., 93(3), 364–372.
Val, D. V., and Robert, E. M. (1997). “Reliability of deteriorating RC slab bridges.” J. Struct. Eng., 123(12), 1638–1644.
Vu, N. A., Castel, A., and François, R. (2009). “Effect of stress corrosion cracking on stress-strain response of steel wires used in prestressed concrete beams.” Corros. Sci., 51(6), 1453–1459.
Xue, W. C., Ding, M., He, C., and Li, J. (2008). “Long-term behavior of prestressed composite beams at service loads for one year.” J. Struct. Eng., 134(6), 930–937.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 16Issue 1January 2011
Pages: 29 - 43

History

Received: Oct 11, 2009
Accepted: May 10, 2010
Published online: May 14, 2010
Published in print: Jan 2011

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Authors

Affiliations

Associate Professor, Key Laboratory of Concrete and Prestressed Concrete Structure, Ministry of Education, Southeast Univ., Nanjing 210096, People’s Republic of China; formerly, Visiting Research Scientist, ATLSS Center, Lehigh Univ., 117 ATLSS Dr., Bethlehem, PA 18015 (corresponding author). E-mail: [email protected]
Richard Sause, M.ASCE [email protected]
Joseph T. Stuart Professor of Structural Engineering and Director, Dept. of Civil and Environmental Engineering, ATLSS Center, Lehigh Univ., 117 ATLSS Dr., Bethlehem, PA 18015. E-mail: [email protected]
Dan M. Frangopol, Dist.M.ASCE [email protected]
Professor and Fazlur R. Khan Endowed Chair of Structural Engineering and Architecture, Dept. of Civil and Environmental Engineering, ATLSS Center, Lehigh Univ., 117 ATLSS Dr., Bethlehem, PA 18015. E-mail: [email protected]
Professor, College of Civil Engineering, Southeast Univ., Nanjing 210096, People’s Republic of China. E-mail: [email protected]

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