Technical Papers
Oct 23, 2018

Proposed Input Energy-Based Damage Index for RC Bridge Piers

Publication: Journal of Bridge Engineering
Volume 24, Issue 1

Abstract

In this paper, a new damage index is proposed for RC bridge piers using the concept of earthquake input energy distribution in a structural system. The damage index was defined as the ratio of the hysteretic energy to the earthquake input energy to take into account the cumulative effects of stiffness degradation, inelastic deformation, and material nonlinearities throughout the loading history. A damage-assessment method was also developed in accordance with material strain. For this purpose, a set of circular RC bridge piers tested under cyclic/seismic loadings was simulated to calibrate the reliability of the proposed damage index and strain-based damage limit states. The results confirmed the ability of the damage index to predict the damage levels of piers under cyclic and seismic loading. The damage index was also compared to some existing damage indices. The comparison showed that the proposed damage index is a relatively simple and practical approach that can provide a reasonably gradual progression of damage throughout the loading history more convincingly than other damage models.

Get full access to this article

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

References

Babazadeh, A., R. Burgue, and P. Silva. 2015. “Use of 3D finite-element models for predicting intermediate damage limit states in RC bridge columns.” J. Struct. Eng. 141 (10): 04015012. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001253.
Banon, H., and D. Veneziano. 1982. “Seismic safety of reinforced concrete members and structures.” Earthquake Eng. Struct. Dyn. 10 (2): 179–193. https://doi.org/10.1002/eqe.4290100202.
Bassam, A., A. Iranmanesh, and F. Ansari. 2011. “A simple quantitative approach for post-earthquake damage assessment of flexure dominant reinforced concrete bridges.” Eng. Struct. 33 (12): 3218–3225. https://doi.org/10.1016/j.engstruct.2011.06.024.
Benavent-Climent, A. 2007. “An energy-based damage model for seismic response of steel structures.” Earthquake Eng. Struct. Dyn. 36 (8): 1049–1064. https://doi.org/10.1002/eqe.671.
Benavent-Climent, A. 2011. “An energy-based method for seismic retrofit of existing frames using hysteretic dampers.” Soil Dyn. Earthquake Eng. 31 (10): 1385–1396. https://doi.org/10.1016/j.soildyn.2011.05.015.
Berry, P. M., and M. O. Eberhard. 2008. Performance modeling strategies for modern reinforced concrete bridge columns. Berkeley, CA: Pacific Earthquake Engineering Research Center, College of Engineering, Univ. of California.
Brown, J., and S. K. Kunnath. 2004. “Low-cycle fatigue failure of reinforcing steel bars.” Mater. J. 101 (6): 457–466.
Caltrans. 2010. Caltrans seismic design criteria version 1.6. Sacramento, CA: California Dept. of Transportation.
Diaz, A. C., L. G. Pujades, A. H. Barbat, Y. F. Vargas, and D. A. Hidalgo-Leiva. 2017. “Energy damage index based on capacity and response spectra.” Eng. Struct. 152: 424–436. https://doi.org/10.1016/j.engstruct.2017.09.019.
DiPasquale, E., and A. S. Cakmak. 1988. Detection and assessment of seismic structural damage. Buffalo, NY: State Univ. of New York at Buffalo, National Center for Earthquake Engineering Research.
Erberik, A., and H. Sucuoğlu. 2004. “Seismic energy dissipation in deteriorating systems through low-cycle fatigue.” Earthquake Eng. Struct. Dyn. 33 (1): 49–67. https://doi.org/10.1002/eqe.337.
Fajfar, P., and T. Vidic. 1994. “Consistent inelastic design spectra: Hysteretic and input energy.” Earthquake Eng. Struct. Dyn. 23 (5): 523–537. https://doi.org/10.1002/eqe.4290230505.
FEMA. 2017. HAZUS: Multi-hazard loss estimation methodology earthquake model: Technical manual. Washington, DC: FEMA.
Feng, Y., M. Kowalsky, and J. M. Nau. 2014. “Fiber-based modeling of circular reinforced concrete bridge columns.” J. Earthquake Eng. 18 (5): 714–734. https://doi.org/10.1080/13632469.2014.904254.
Ghobarah, A., H. Abou-Elfath, and A. Biddah. 1999. “Response-based damage assessment of structures.” Earthquake Eng. Struct. Dyn. 28 (1): 79–104. https://doi.org/10.1002/(SICI)1096-9845(199901)28:1%3C79::AID-EQE805%3E3.0.CO;2-J.
Goodnight, J. C., M. J. Kowalsky, and J. M. Nau. 2013. “Effect of load history on performance limit states of circular bridge columns.” J. Bridge Eng. 18 (12): 1383–1396. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000495.
Hachem, M. M., A. M. Stephan, and J. P. Moehle. 2003. Performance of circular reinforce concrete bridge columns under bidirectional earthquake loading. PEER Rep. 2003/06. Berkeley, CA: Pacific Earthquake Engineering Research Center, College of Engineering, Univ. of California.
Hindi, R. A., and R. G. Sexsmith. 2001. “A proposed damage model for RC bridge columns under cyclic loading.” Earthquake Spectra 17 (2): 261–290. https://doi.org/10.1193/1.1586175.
Hindi, R. A., and R. G. Sexsmith. 2004. “Inelastic damage analysis of reinforced concrete bridge columns based on degraded monotonic energy.” J. Bridge Eng. 9 (4): 326–332. https://doi.org/10.1061/(ASCE)1084-0702(2004)9:4(326).
Hose, Y., P. Silva, and F. Seible. 2000. “Development of a performance evaluation database for concrete bridge components and systems under simulated seismic loads.” Earthquake Spectra 16 (2): 413–442. https://doi.org/10.1193/1.1586119.
Housner, G. W. 1956. “Limit design of structures to resist earthquakes.” In Proc., 1st World Conf. on Earthquake Engineering. Oakland, CA: Earthquake Engineering Research Institute.
Hwang, T. H., and C. F. Scribner. 1984. “R/C member cyclic response during various loadings.” J. Struct. Eng. 110 (3): 477–489. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:3(477).
Iranmanesh, A., and F. Ansari. 2014. “Energy-based damage assessment methodology for structural health monitoring of modern reinforced concrete bridge columns.” J. Bridge. Eng. 19 (8): A4014004. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000569.
Jara, J. M., M. G. López, M. Jara, and B. A. Olmos. 2014. “Rotation and damage index demands for RC medium-length span bridges.” Eng. Struct. 74: 205–217. https://doi.org/10.1016/j.engstruct.2014.05.029.
Kashani, M. M., A. J. Crewe, and N. A. Alexander. 2013. “Nonlinear stress–strain behaviour of corrosion-damaged reinforcing bars including inelastic buckling.” Eng. Struct. 48: 417–429. https://doi.org/10.1016/j.engstruct.2012.09.034.
Kim, T. H., Y. J. Kim, H. T. Kang, and H. M. Shin. 2007. “Performance assessment of reinforced concrete bridge columns using a damage index.” Can. J. Civ. Eng. 34 (7): 843–855. https://doi.org/10.1139/l07-003.
Kratzig, W. B., I. F. Meyer, and K. Meskouris. 1989. “Damage evolution in reinforced concrete members under cyclic loading.” In Proc., 5th Int. Conf. on Structural Safety and Reliability. Reston, VA: ASCE.
Kunnath, S. K., A. El-Bahy, A. W. Taylor, and W. C. Stone. 1997. Cumulative seismic damage of reinforced concrete bridge piers. Buffalo, NY: State Univ. of New York at Buffalo, National Center for Earthquake Engineering Research.
Kunnath, S. K., Y. Heo, and J. F. Mohle. 2009. “Nonlinear uniaxial material model for reinforcing steel bars.” J. Struct. Eng. 135 (4): 335–343. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:4(335).
Kuwamura, H., Y. Kirino, and H. Akiyama. 1994. “Prediction of earthquake energy input from smoothed Fourier amplitude spectrum.” Earthquake Eng. Struct. Dyn. 23 (10): 1125–1137. https://doi.org/10.1002/eqe.4290231007.
Mander, J. B., and C. T. Cheng. 1995. “Renewable hinge detailing for bridge columns.” In Vol. 3 of Proc., Pacific Conf. on Earthquake Engineering, 197–206. Melbourne, Australia: Australian Earthquake Engineering Society.
Mander, J. B., M. J. N. Priestley, and R. Park. 1988. “Theoretical stress-strain model for confined concrete.” J. Struct. Eng. 114 (8): 1804–1826. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804).
Mangalathu, S. 2017. “Performance based grouping and fragility analysis of box-girder bridges in California.” Doctoral dissertation, Georgia Institute of Technology.
Melek, M., J. W. Wallace, and J. P. Conte. 2003. Experimental assessment of columns with short lap splices subjected to cyclic loads. PEER Rep. 2003/04. Berkeley, CA: Pacific Earthquake Engineering Research Center, College of Engineering, Univ. of California.
Newmark, N. M., and E. Rosenblueth. 1971. Fundamentals of earthquake engineering. Englewood Cliffs, NJ: Prentice-Hall.
Park, Y. J., and A. H. Ang. 1985. “Mechanistic seismic damage model for reinforced concrete.” J. Struct. Eng. 111 (4): 722–739. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722).
Powell, G. H., and R. Allahabadi. 1988. “Seismic damage prediction by deterministic methods: Concepts and procedures.” Earthquake Eng. Struct. Dyn. 16 (5): 719–734. https://doi.org/10.1002/eqe.4290160507.
Rajeev, P., and K. K. Wijesundara. 2014. “Energy-based damage index for concentrically braced steel structure using continuous wavelet transform.” J. Constr. Steel Res. 103: 241–250. https://doi.org/10.1016/j.jcsr.2014.09.011.
Ramanathan, K. N. 2012. “Next generation seismic fragility curves for California bridges incorporating the evolution in seismic design philosophy.” Doctoral dissertation, Georgia Institute of Technology.
Schoettler, M. J., J. I. Restrepo, G. Guerrini, D. Duck, and F. Carrea. 2015. A full-scale, single-column bridge bent tested by shake-table excitation. PEER Rep. 2015/02. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Sharifi, A., M. R. Banan, and M. R. Banan. 2012. “A strain-consistent approach for determination of bounds of ductility damage index for different performance levels for seismic design of RC frame members.” Eng. Struct. 37: 143–151. https://doi.org/10.1016/j.engstruct.2011.12.025.
Stone, W. C., and A. W. Taylor. 1992. “A predictive model for hysteretic failure parameters.” In Proc., 10th World Conf. on Earthquake Engineering. Rotterdam, Netherlands: A.A Balkema.
Tehrani, P. 2012. “Seismic analysis and behavior of continuous reinforced concrete bridges.” Ph.D. thesis, McGill Univ.
Teran-Gilmore, A., A. Sanchez-Badillo, and M. Espinosa-Johnson. 2010. “Performance-based seismic design of reinforced concrete ductile buildings subjected to large energy demands.” Earthquake Struct. 1 (1): 69–91. https://doi.org/10.12989/eas.2010.1.1.069.
Vosooghi, A., and M. Saiid Saiidi. 2012. “Experimental fragility curves for seismic response of reinforced concrete bridge columns.” Struct. J. 109 (6): 825–834.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 24Issue 1January 2019

History

Received: Feb 7, 2018
Accepted: Jul 2, 2018
Published online: Oct 23, 2018
Published in print: Jan 1, 2019
Discussion open until: Mar 23, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Shima Mahboubi
Ph.D. Student, Faculty of Civil, Water and Environmental Engineering, Shahid Beheshti Univ., Tehran, Iran.
Mahmoud R. Shiravand [email protected]
Assistant Professor, Faculty of Civil, Water and Environmental Engineering, Shahid Beheshti Univ., Tehran, Iran (corresponding author). Email: [email protected]

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