TECHNICAL PAPERS
Nov 13, 2009

Probabilistic Capacity Models and Fragility Estimates for Reinforced Concrete Columns Incorporating NDT Data

Publication: Journal of Engineering Mechanics
Volume 135, Issue 12

Abstract

Knowing the ability of reinforced concrete (RC) bridges to withstand future seismic demands during their life-cycle can help bridge owners make rational decisions regarding optimal allocation of resources for maintenance, repair, and/or rehabilitation of bridge systems. The accuracy of a reliability assessment can be improved by incorporating information about the current aging and deterioration conditions of a bridge. Nondestructive testing (NDT) can be used to evaluate the actual conditions of a bridge, avoiding the use of deterioration models that bring additional uncertainties in the reliability assessment. This paper develops probabilistic deformation and shear capacity models for RC bridge columns that incorporate information obtained from NDT. The proposed models can be used when the flexural stiffness decays nonuniformly over a column height. The flexural stiffness of a column is estimated based on measured acceleration responses using a system identification method and the damage index method. As an application of the proposed models, a case study assesses the fragility (the conditional probability of attaining or exceeding a specified capacity level) of the column in the Lavic Road Overcrossing for a given deformation or shear demand. This two-span concrete box-girder bridge located in Southern California was subject to the Hector Mine Earthquake in 1999. Pre- and postearthquake estimates of the univariate shear and deformation fragilities and of the bivariate shear-deformation fragility are computed and compared. Both displacement and shear capacities are found to decrease after the earthquake event. Additionally, the results show that the damage due to the Hector Mine Earthquake has a larger impact on the shear capacity than the deformation capacity, leading to a more significant increment in the shear fragility than in the deformation fragility.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The writers wish to thank Dr. John Mander, Zachry Professor of the Zachry Department of Civil Engineering, Texas A&M University, College Station, for helpful discussion and suggestions.

References

Alsiwat, J. M., and Saatcioglu, M. (1992). “Reinforcement anchorage slip under monotonic loading.” J. Struct. Eng., 118(9), 2421–2438.
Bolton, R., Sikorsky, C., Park, S., Choi, S., and Stubbs, N. (2005). “Modal property changes of a seismically damaged concrete bridge.” J. Bridge Eng., 10(4), 415–428.
Bolton, R., Stubbs, N., and Choi, S. (2001). “Documentation of change in modal properties of a concrete box-girder bridge due to environmental and internal conditions.” Comput. Aided Civ. Infrastruct. Eng., 16, 42–57.
Brincker, R., Zhang, L., and Anderson, P. (2001). “Modal identification of output-only systems using frequency domain decomposition.” Smart Mater. Struct., 10, 441–445.
Byers, W. G., Marley, M. J., Mohammadi, J., Nielsen, R. J., and Sarkani, S. (1997). “Fatigue reliability reassessment procedure: State-of-the art paper.” J. Struct. Eng., 123(3), 271–276.
Choe, D., Gardoni, P., and Rosowsky, D. (2007). “Closed-form fragility estimates parameter sensitivity and Bayesian updating for RC columns.” J. Eng. Mech., 133(7), 833–843.
Choe, D., Gardoni, P., Rosowsky, D., and Haukaas, T. (2008a). “Probabilistic capacity models and seismic fragility estimates for RC columns subject to corrosion.” Reliab. Eng. Syst. Saf., 93(3), 383–393.
Choe, D., Gardoni, P., Rosowsky, D., and Haukaas, T. (2008b). “Seismic fragility estimate for reinforced concrete bridges subject to corrosion.” Structural Safety, in press.
Choi, S., Park, S., Bolton, R., Stubbs, N., and Sikorsky, C. (2004). “Periodic monitoring of physical property changes in a concrete box-girder bridge.” J. Sound Vib., 274, 365–381.
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.
Estes, A. C., Frangopol, D. M., and Foltz, S. D. (2003). “Updating the reliability of engineering structures using visual inspection results.” Applications of statistics and probability in civil engineering, A. Der Kiureghian, S. Madanat, and J. M. Pestana, eds., Millpress, Rotterdam, The Netherlands, 1087–1092.
Fajfar, P., and Gašperšič, P. (1996). “The N2 method for the seismic damage analysis of RC buildings.” Earthquake Eng. Struct. Dyn., 25, 31–46.
Federal Highway Administration (FHWA). (2001). “Corrosion cost and preventive strategies in the united state.” Rep. No. FHWA-RD-01-156.
Frangopol, D. M., Kong, J. S., and Gharaibeh, E. S. (2001). “Reliability-based life-cycle management of highway bridges.” J. Comput. Civ. Eng., 15(1), 27–34.
Gardoni, P., Der Kiureghian, A., and Mosalam, K. M. (2002). “Probabilistic capacity models and fragility estimates for RC columns based on experimental observations.” J. Eng. Mech., 128(10), 1024–1038.
Gardoni, P., Mosalam, K. M., and Der Kiureghian, A. (2003). “Probabilistic seismic demand models and fragility estimates for RC columns.” J. Earthquake Eng., 7(1), 79–106.
Haukaas, T., and Der Kiureghian, A. (2004). “Finite element reliability and sensitivity methods for performance-based earthquake engineering.” Rep. No. PEER 2003/14, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Humar, J., Bagchi, A., and Xu, H. (2006). “Performance of vibration-based techniques for the identification of structural damage.” Struct. Health Monit., 5(3), 215–227.
Hurlebaus, S., and Gaul, L. (2006). “Review: Smart structure dynamics.” Mech. Syst. Signal Process., 20, 255–281.
Kim, B. H., Stubbs, N., and Park, T. (2005). “A new method to extract modal parameters using output-only responses.” J. Sound Vib., 282, 215–230.
Kim, J. -T., and Stubbs, N. (2002). “Improved damage identification method based on modal information.” J. Sound Vib., 252(2), 223–238.
Kumar, R., Gardoni, P., and Sanchez-Silva, M. (2008). “Effect of cumulative seismic damage and corrosion on the life-cycle of reinforced concrete bridges.” Earthquake Eng. Struct. Dyn., 38(7), 887–905.
Moehle, J. P., Elwood, K., and Sezen, H. (2000). “Shear failure and axial load collapse of existing reinforced concrete columns.” Proc., 2nd U.S.–Japan Workshop on Performance-Based Design Methodology for Reinforced Concrete Building Structures, Sapporo, Japan, Berkeley: Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif., 241–255.
Moehle, J. P., Lynn, A. C., Elwood, K., and Sezen, H. (1999). “Gravity load collapse of reinforced concrete frames during earthquakes.” Proc., 1st U.S.–Japan Workshop on Performance-Based Design Methodology for Reinforced Concrete Building Structures, Maui, Hawaii, Berkeley: Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif., 175–189.
Park, S., Stubbs, N., Bolton, R., and Choi, S. (2001). “Field verification of the damage index method in a concrete box-girder bridge via visual inspection.” Comput. Aided Civ. Infrastruct. Eng., 16, 58–70.
Priestley, M. J. N., Seible, F., and Sozen, M. A. (1996). Seismic design and retrofit of bridges, Wiley, New York.
Pujol, S., Ramfrez, J. A., and Sozen, M. A. (1999). “Drift capacity of reinforced concrete columns subjected to cyclic shear reversals.” Seismic response of concrete bridges, ACI International, Farmington Hills, Mich., 255–274.
Stewart, M. G., and Rosowsky, D. V. (1998). “Structural safety and serviceability of concrete bridges subject to corrosion.” J. Infrastruct. Syst., 4(4), 146–155.
Stubbs, N., Park, S., Bolton, R. W., Choi, S., and Silorsky, C. (1999). “Non-destructive estimate of the rate of change of structural degradation of the Lavic Road Overcrossing.” Rep. No. FHWA/CA/ESC-99/13, California Department of Transportation, Sacramento, Calif.
Teran-Gilmore, A., and Bahena-Arredondo, N. (2008). “Cumulative ductility spectra for seismic design of ductile structures subjected to long duration motions: Concept and theoretical background.” J. Earthquake Eng., 12, 152–172.
Val, D. V., Stewart, M. G., and Melchers, R. E. (1997). “Effect of reinforcement corrosion on reliability of highway bridges.” Eng. Struct., 20(11), 1010–1019.
van de Lindt, J. W., and Goh, G. (2004). “Earthquake duration effect on structural reliability.” J. Struct. Eng., 130(5), 821–826.
Vu, K. A. T., and Stewart, M. G. (2000). “Structural reliability of concrete bridges including improved chloride-induced corrosion models.” Struct. Safety, 22(4), 313–333.
Williams, M. S., and Sexsmith, R. G. (1997). “Seismic assessment of concrete bridges using inelastic damage analysis.” Eng. Struct., 19(3), 208–216.
Zhang, R., and Mahadevan, S. (2000). “Model uncertainty and Bayesian updating in reliability-based inspection.” Struct. Safety, 22, 145–160.
Zhao, Z., Haldar, A., and Breen, F. L., Jr. (1994). “Fatigue-reliability updating through inspection of steel bridges.” J. Struct. Eng., 120(5), 1624–1641.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 135Issue 12December 2009
Pages: 1384 - 1392

History

Received: Nov 1, 2007
Accepted: Jul 26, 2009
Published online: Nov 13, 2009
Published in print: Dec 2009

Permissions

Request permissions for this article.

Authors

Affiliations

Qindan Huang, S.M.ASCE
Doctoral Student, Zachry Dept. of Civil Engineering, Texas A&M University, College Station, TX 77843-3136.
Paolo Gardoni, M.ASCE [email protected]
Associate Professor, Zachry Dept. of Civil Engineering, Texas A&M University, College Station, TX 77843-3136 (corresponding author). E-mail: [email protected]
Stefan Hurlebaus, M.ASCE
Assistant Professor, Zachry Dept. of Civil Engineering, Texas A&M University, College Station, TX 77843-3136.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share