Technical Papers
Oct 24, 2014

Nonlinear Seismic Analysis of Reinforced Concrete Bridges Using the Force Analogy Method

Publication: Journal of Bridge Engineering
Volume 20, Issue 10

Abstract

In this paper, a three-dimensional nonlinear dynamic analysis framework for RC bridges is established based on the force analogy method (FAM). Two biaxial local plastic mechanisms, rotation hinge (RH) and slide hinge (SH), are proposed based on the fundamental concept of FAM to simulate the nonlinear flexure-shear interactive behavior of RC piers, a critical consideration for seismic performance assessment of RC bridges. The RHs located at the ends of RC piers express the relationships of moment versus plastic rotation, whereas the SHs are assigned to simulate the shear versus plastic shear deformation behaviors of RC piers. Coupling the presented biaxial local plastic mechanisms with FAM, the nonlinear response of RC bridges under bidirectional earthquakes can be evaluated. Because only constant initial stiffness matrices are used throughout the whole analyzing process, the state space integration formulation can be used for solving the equations of motion, which makes the computational process efficient and stable. The precision of the presented biaxial local plastic mechanisms is verified against data of two tests, and a numerical example is carried out to illustrate the process of seismic analysis for RC bridges with FAM.

Get full access to this article

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

Acknowledgments

This research work was jointly supported by the Science Fund for Creative Research Groups of NSFC under Grant No. 51121005 and 973 project of Ministry of Science and Technology under Grant No. 2011CB013605. Their support is greatly appreciated.

References

AASHTO. (1998). LRFD specifications for highway bridges , Washington, DC.
Aviram, A., Mackie, K. R., and Stojadinovic, B. (2008a). “Effect of abutment modeling on the seismic response of bridge structures.” Earthquake Eng. Eng. Vib. , 7(4), 395–402.
Aviram, A., Mackie, K. R., and Stojadinović, B. (2008b). Guidelines for nonlinear analysis of bridge structures in California , Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Bousias, S. N., Verzeletti, G., Fardis, M. N., and Gutierrez, E. (1995). “Load-path effects in column biaxial bending with axial force.” J. Eng. Mech. , 596–605.
Bresler, B. (1960). “Design criteria for reinforced columns under axial load and biaxial bending.” ACI J. Proc. , 57(11), 481–490.
Chang, S.-Y. (2010). “Experimental studies of reinforced concrete bridge columns under axial load plus biaxial bending.” J. Struct. Eng. , 12–25.
Chao, S.-H., and Loh, C.-H. (2007). “Inelastic response analysis of reinforced concrete structures using modified force analogy method.” Earthquake Eng. Struct. Dynam. , 36(12), 1659–1683.
Clough, R. W. (1966). Effect of stiffness degradation on earthquake ductility requirements , Dept. of Civil Engineering, Univ. of California, Berkeley, CA.
Di Ludovico, M., Verderame, G. M., Prota, A., Manfredi, G., and Cosenza, E. (2013). “Experimental behavior of nonconforming RC columns with plain bars under constant axial load and biaxial bending.” J. Struct. Eng. , 897–914.
Ghali, A., and Neville, A. M. (1997). Structural analysis: A unified classical and matrix approach , Taylor & Francis, London.
Ibarra, L. F., Medina, R. A., and Krawinkler, H. (2005). “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Eng. Struct. Dynam. , 34(12), 1489–1511.
Lai, S.-S., Will, G. T., and Otani, S. (1984). “Model for inelastic biaxial bending of concrete members.” J. Struct. Eng. , 2563–2584.
Li, G., Fahnestock, L. A., and Li, H.-N. (2013). “Simulation of steel brace hysteretic response using the force analogy method.” J. Struct. Eng. , 526–536.
Li, G., Liu, Q., and Li, H. (2011). “Inelastic structural control based on MBC and FAM.” Math. Prob. Eng. , 2011(2011), 460731.
Li, G., and Wong, K. F. (2014). Theory of nonlinear structural analysis: The force analogy method for earthquake engineering , Wiley, New York.
Li, G., Zhang, Y., and Li, H. N. (2014). “Nonlinear seismic analysis of reinforced concrete frames using the force analogy method.” Earthquake Eng. Struct. Dynam. , 42(14), 2115–2134.
Lin, T. H. (1968). Theory of inelastic structures , Wiley, New York.
Mast, R., et al. (1996). “Seismic design of bridges: Design example No. 4—Three-span continuous CIP concrete bridge , Federal Highway Administration, Washington, DC.
Mullapudi, T. R. S., and Ayoub, A. (2013). “Analysis of reinforced concrete columns subjected to combined axial, flexure, shear, and torsional loads.” J. Struct. Eng. , 561–573.
Ozcebe, G., and Saatcioglu, M. (1989). “Hysteretic shear model for reinforced concrete members.” J. Struct. Eng. , 132–148.
Pannell, F. (1963). “Failure surfaces for members in compression and biaxial bending.” ACI J. Proc. , 60(1), 129–140.
Park, R., and Paulay, T. (1975). Reinforced concrete structures , Wiley, New York.
Priestley, M. N., Seible, F., and Calvi, G. (1996). Seismic design and retrofit of bridges , Wiley, New York.
Sezen, H. (2008). “Shear deformation model for reinforced concrete columns.” Struct. Eng. Mech. , 28(1), 39–52.
Sezen, H., and Chowdhury, T. (2009). “Hysteretic model for reinforced concrete columns including the effect of shear and axial load failure.” J. Struct. Eng. , 139–146.
Takeda, T., Sozen, M. A., and Nielsen, N. N. (1970). “Reinforced concrete response to simulated earthquakes.” J. Struct. Div. , 96(12), 2557–2573.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression-field theory for reinforced concrete elements subjected to shear.” ACI J. , 83(2), 219–231.
Wong, K. K. F., and Yang, R. (1999). “Inelastic dynamic response of structures using force analogy method.” J. Eng. Mech. , 1190–1199.
Xu, S.-Y., and Zhang, J. (2011). “Hysteretic shear–flexure interaction model of reinforced concrete columns for seismic response assessment of bridges.” Earthquake Eng. Struct. Dynam. , 40(3), 315–337.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 20Issue 10October 2015

History

Received: Jan 22, 2014
Accepted: Sep 29, 2014
Published online: Oct 24, 2014
Published in print: Oct 1, 2015

Permissions

Request permissions for this article.

Authors

Affiliations

Associate Professor, Faculty of Infrastructure Engineering, Institute of Earthquake Engineering, Dalian Univ. of Technology, Dalian, Liaoning Province 116024, China (corresponding author). E-mail: [email protected]
Ph.D. Student, Faculty of Infrastructure Engineering, Institute of Earthquake Engineering, Dalian Univ. of Technology, Dalian, Liaoning Province 116024, China. E-mail: [email protected]
Hong-Nan Li [email protected]
Professor, Faculty of Infrastructure Engineering, Dalian Univ. of Technology, Dalian, Liaoning Province 116024, China. E-mail: [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