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May 1, 2009

Nonlinear Analysis of Ordinary Bridges Crossing Fault-Rupture Zones

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Publication: Journal of Bridge Engineering
Volume 14, Issue 3

Abstract

Rooted in structural dynamics theory, three approximate procedures for estimating seismic demands for bridges crossing fault-rupture zones and deforming into their inelastic range are presented: modal pushover analysis (MPA), linear dynamic analysis, and linear static analysis. These procedures estimate the total seismic demand by superposing peak values of quasi-static and dynamic parts. The peak quasi-static demand in all three procedures is computed by nonlinear static analysis of the bridge subjected to peak values of all support displacements applied simultaneously. In the MPA and the linear dynamic analysis procedures, the peak dynamic demand is estimated by nonlinear static (or pushover) analysis and linear static analysis, respectively, for forces corresponding to the most-dominant mode. In the linear static analysis procedure, the peak dynamic demand is estimated by linear static analysis of the bridge due to lateral forces appropriate for bridges crossing fault-rupture zones. The three approximate procedures are shown to provide estimates of seismic demands that are accurate enough to be useful for practical applications. The linear static analysis procedure, which is much simpler than the other two approximate procedures, is recommended for practical analysis of “ordinary” bridges because it eliminates the need for mode shapes and vibration periods of the bridge.

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Acknowledgments

The research reported in this paper is supported by CALTRANS under Contract No. 59A0435 with Mahmoud Khojasteh as the project manager. This support is gratefully acknowledged. Also acknowledged is the assistance of Douglas Dreger and Gabriel Hurtado of University of California, Berkeley who generated the ground motions used in this investigation.

References

CALTRANS. (2006). Seismic design criteria, Version 1.4.
Chopra, A. K. (2007). Dynamic of structures: Theory and applications to earthquake engineering, 3rd Ed., Prentice-Hall, Englewood Cliffs, N.J.
Goel, R. K., and Chopra, A. K. (2008a). “Analysis of ordinary bridges crossing fault-rupture zones.” Rep. No. UCB/EERC-2008/01, Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Goel, R. K., and Chopra, A. K. (2008b). “Role of shear keys in seismic behavior of bridges crossing fault-rupture zones.” J. Bridge Eng., 13(4), 398–408.
Goel, R. K., and Chopra, A. K. (2009). “Linear analysis of ordinary bridges crossing fault-rupture zones.” J. Bridge Eng., 14(3), 203–215.
Mander, J. B., Priestly, M. J. N., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” J. Struct. Eng., 114(8), 1804–1826.
McKenna, F., and Fenves, G. (2001). The OpenSees command language manual: Version 1.2, Pacific Earthquake Engineering Center, Univ. of California, Berkeley, Calif., ⟨http://opensees.berkeley.edu⟩.

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Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 14Issue 3May 2009
Pages: 216 - 224

History

Received: Mar 11, 2008
Accepted: Dec 9, 2008
Published online: May 1, 2009
Published in print: May 2009

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Authors

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Rakesh K. Goel, F.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, California Polytechnic State Univ., San Luis Obispo, CA 93407-0353. E-mail: [email protected]
Anil K. Chopra, M.ASCE [email protected]
Johnson Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720. E-mail: [email protected]

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