Technical Paper
Dec 30, 2015

Inelastic Displacement Spectra for Bridges Using the Substitute-Structure Method

Publication: Practice Periodical on Structural Design and Construction
Volume 21, Issue 2

Abstract

The design of bridge structures for seismic loading by displacement-based procedures has become preferred over force-based procedures in modern specifications. One key step in displacement-based design (DBD) is the estimation of inelastic displacement. Current AASHTO specifications rely on a linear response spectrum analysis with an amplification factor, Rd, for conventionally designed bridges and on the substitute structure method (SSM) for analysis of isolated bridges to estimate inelastic displacements. Both methods are used in this study for a selected site and target acceleration response spectrum. The procedures for both are outlined in detail. Displacement spectra from nonlinear response history analyses (NLRHA) are generated for seven ground-motion sets and compared to results from the two simplified methods. The SSM is shown to produce inelastic displacement estimates that more closely match NLRHA results than do results from the AASHTO Rd method over a wide range of periods for the specific conditions of (1) a large modal magnitude earthquake, (2) a class D subsurface profile, (3) accelerations characteristic of the selected site, and (4) reduced initial damping to mimic tangent-stiffness-damping.

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References

AASHTO. (2010). Guide specifications for seismic isolation design, 3rd Ed., Washington, DC.
AASHTO. (2011). Guide specifications for LRFD seismic bridge design, 2nd Ed., Washington, DC.
Baker, J., and Cornell, C. A. (2006). Which spectral acceleration are you using? Earthquake Spectra, 22(2), 293–312.
Bispec 1.1.2 [Computer software]. Earthquake Solutions, Monrovia, CA.
Blandon, C. (2004). Equivalent viscous damping equations for direct displacement based design. European School of Advanced Studies in Reduction of Seismic Risk−ROSE School, Pavia, Italy.
Bozorgnia, Y., Hachem, M. M., and Campbell, K. W. (2010). Deterministic and probabilistic predictions of yield strength and inelastic displacement spectra. Earthquake Spectra, 26(1), 25–40.
Bozorgnia, Y., Hachem, M. M., and Campbell, K. W. (2010). Ground motion prediction equation (“attenuation relationship”) for inelastic response spectra. Earthquake Spectra, 26(1), 1–23.
Chopra, A. K., and Chintanapakdee, C. (2003). Inelastic deformation ratios for design and evaluation of structures: single degree of freedom bi-linear systems. Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Dwairi, H. M., Kowalsky, M. J., and Nau, J. M. (2007). Equivalent damping in support of direct displacement based design. J. Earthquake Eng., 11(4), 512–530.
FEMA. (2009). NEHRP recommended seismic provisions for new buildings and other structures (FEMA P-750), FEMA, Washington, DC.
Field, E. H., Jordan, T. H., and Cornell, C. A. (2003). OpenSHA: A developing community - modeling environment for seismic hazard analysis. Seismol. Res. Lett., 74(4), 406–419.
Ghosh, S. K. (2014). Significant changes from ASCE 7-05 to ASCE 7-10, Part 1: Seismic design provisions. PCI J., 59(1), 60–82.
Gulkan, P., and Sozen, M. A. (1974). Inelastic response of reinforced concrete structures to earthquake ground motions. J. Am. Concr. Inst., 71(12), 604–610.
Katsanos, E. I., Sextos, A. G., and Manolis, G. D. (2010). “Selection of earthquake ground motion records: A state-of-the-art review from a structural engineering perspective.” Soil Dyn. Earthquake Eng., 30(4), 157–169.
Khose, V. N., and Singh, Y. (2014). “An anomaly in the equivalent linearization approach for the estimation of inelastic response.” Earthquake Spectra, 30(2), 965–972.
NEHRP Consultants Joint Venture. (2011). “Selecting and scaling earthquake ground motions.” Rep. NIST GCR 11-917-15, NIST, Redwood City, CA.
Pacific Earthquake Engineering Research Center. (2011). “PEER ground motion database.”〈http://peer.berkeley.edu/peer_ground_motion_database〉.
Pacific Earthquake Engineering Research Center. (2014). “PEER ground motion database.”〈http://ngawest2.berkeley.edu/〉.
Priestley, M. J., and Grant, D. N. (2005). “Viscous damping in seismic design and analysis.” J. Earthquake Eng., 9(2), 229–255.
Priestley, M. J., Calvi, G. M., and Kowalsky, M. J. (2007). Displacement-based seismic design of structures, 1st Ed., IUSS Press, Pavia, Italy.
SeismoSpect 1.3.0 [Computer software]. SeismoSoft, Chalkida, Greece.
Stafford, P. J., Mendis, R., and Bommer, J. J. (2008). “Dependence of damping correction factors for response spectra on duration and number of cycles.” J. Struct. Eng., 1364–1373.
Stewart, J. P., Abrahamson, N. A., Atkinson, G. M., Baker, J. W., Boore, D. M., Bozorgnia, Y., et al. (2011). “Representation of bidirectional ground motions for design spectra in building codes.” Earthquake Spectra, 27(3), 927–937.
USGS. (2015). “2008 interactive deaggregations.”〈https://geohazards.usgs.gov/deaggint/2008/〉.
Watanabe, G., and Kawashima, K. (2014). “An evaluation of the displacement amplification factors for seismic design of bridges.” 〈http://www.cuee.titech.ac.jp/21coe/English/Events/Data/Papers/89watanabegakuho.pdf〉 (Nov. 23, 2015).
Watson-Lamprey, J., and Boore, D. M. (2007). Beyond SA-GMRotI: Conversion to SA-Arb, SA-SN, and SA-MaxRot. Bull. Seismol. Soc. Am., 97(5), 1511–1524.

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Go to Practice Periodical on Structural Design and Construction
Practice Periodical on Structural Design and Construction
Volume 21Issue 2May 2016

History

Received: Jun 8, 2015
Accepted: Oct 13, 2015
Published online: Dec 30, 2015
Published in print: May 1, 2016
Discussion open until: May 30, 2016

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Authors

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Tim Huff, Ph.D. [email protected]
P.E.
Civil Engineering Manager, Tennessee DOT, 505 Deaderick St., Suite 1100, Nashville, TN 37243 (corresponding author). E-mail: [email protected]
Shahram Pezeshk, Ph.D., F.ASCE [email protected]
P.E.
Professor, Dept. of Civil Engineering, Univ. of Memphis, Memphis, TN 38152. E-mail: [email protected]

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