Technical Papers
May 26, 2011

Treatment of P-Δ Effects in Displacement-Based Seismic Design for SDOF Systems

Publication: Journal of Bridge Engineering
Volume 17, Issue 3

Abstract

The displacement-based seismic-design (DSD) methods, owing to their simplicity and efficiency, have been more and more recognized in structural seismic-research communities during the past few years. However, the dynamic P-Δ effect, as has long been well realized to be a key issue in structure earthquake engineering that could amplify the structure’s seismic responses or even trigger the structure’s instability, is still not well solved practically because of the complicated nonlinear mechanism. Therefore, in aim to achieve a practical and general purpose solution to consider the P-Δ effects in various DSD methods for single-degree-of-freedom (SDOF) systems, first, the existing approaches of considering P-Δ effects in current seismic analysis and design were evaluated by carrying out a large set of nonlinear time-history analyses, and then new design formulas and recommendations on threshold of neglecting P-Δ effects and the allowable design thresholds were promoted on the basis of the statistics data. At last, the proposed procedure was illustrated by a seismic-design example.

Get full access to this article

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

Acknowledgment

The financial support of the National Natural Science Foundation of China (90815007) is gratefully acknowledged.

References

Adam, C., Ibarra, L. F., and Krawinkler, H. (2004). “Evaluation of p-delta effects in non-deteriorating MDOF structures from equivalent SDOF systems.” Proc., 13th World Conf. on Earthquake Engineering (CD-ROM), Canadian Association for Earthquake Engineering, Vancouver, B.C., Canada, 3407.
AASHTO. (2009). Guide specifications for LRFD seismic bridge design, 1st Ed., Washington, DC.
Applied Technology Council (ATC). (2005). Improvement of nonlinear static seismic analysis procedures (FEMA 440),Washington, DC.
Applied Technology Council (ATC). (2009). Quantification of building seismic performance factors (FEMA P695), Redwood City, CA.
Aschheim, M. (2002). “Seismic design based on the yield displacement.” Earthquake SpectraEASPEF, 18(4), 581–600.
Aschheim, M., and Montes, E. H. (2003). “The representation of P-Δ effects using yield point spectra.” Eng. Struct.ENSTDF, 25(11), 1387–1396.
Asimakopoulos, A. V., Karabalis, D. L., and Beskos, D. E. (2007). “Inclusion of P-Δ effect in displacement-based seismic design of steel moment resisting frames.” Earthquake Eng. Struct. Dyn.IJEEBG, 36(14), 2171–2188.
Bernal, D. (1987). “Amplification factors for inelastic dynamic P-Δ effects in earthquake analysis.” Earthquake Eng. Struct. Dyn.IJEEBG, 15(5), 635–651.
Bernal, D. (1992). “Instability of buildings subjected to earthquakes.” J. Struct. Eng.JSENDH, 118(8), 2239–2260.
Bernal, D. (1998). “Instability of buildings during seismic response.” Eng. Struct.ENSTDF, 20(4–6), 496–502.
Building Seismic Safety Council (BSSC). (2003). NEHRP recommended provisions for seismic regulations for new buildings and other structures, (FEMA 450), Washington, DC.
European Committee for Standardization (CEN). (1992). “Design of steel structures, part 1.1: General rules and rules for buildings.” Eurocode 3, Brussels.
European Committee for Standardization (CEN). (2001). “Design of structures for earthquake resistance, part 1: General rules, seismic actions and rules for buildings.” Eurocode 8, Draft no. 4, Brussels.
Jalayer, F., and Cornell, C. A. (2009). “Alternative non-linear demand estimation methods for probability-based seismic assessments.” Earthquake Eng. Struct. Dyn.IJEEBG, 38(8), 951–972.
MacRae, G. A. (1994). “P-Δ effect on single-degree-of-freedom structures in earthquakes.” Earthquake SpectraEASPEF, 10(3), 539–568.
Mahin, S., and Boroschek, R. (1991). Influence of geometric nonlinearities on the seismic response and design of bridge structures, background report to California Department of Transportation, Sacramento, CA.
Mazzoni, S., et al. (2006). Opensees command language manual, Univ. of California, Pacific Earthquake Engineering Center, Berkeley, CA.
Miranda, E., and Akkar, S. D. (2003). “Dynamic instability of simple structural systems.” J. Struct. Eng.JSENDH, 129(12), 1722–1726.
Pacific Earthquake Engineering Research Center. (2000). PEER strong motion database, 〈http://peer.berkeley.edu/smcat〉.
Paulay, T. (1978). “A consideration of P-delta effects in ductile reinforced concrete frames.” Bull. N.Z. Nat. Soc. Earthquake Eng.BNZED6, 11(3), 151–160.
Paulay, T., and Priestley, M. J. N. (1992). Seismic design of reinforced concrete and masonry buildings, John Wiley & Sons, New York.
Priestley, M. J. N., Seible, F., and Calvi, G. M. (1996). Seismic design and retrofit of bridges, John Wiley & Sons, New York.
Priestley, M. J. N., Calvi, G. M., and Kowalsky, M. J. (2007). Displacement-based seismic design of structures, IUSS Press, Pavia, Italy.
Rosenblueth, E. (1965). “Slenderness effects in buildings.” J. Struct. Div.JSDEAG, 91(1), 229–252.

Information & Authors

Information

Published In

Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 17Issue 3May 2012
Pages: 509 - 518

History

Received: Nov 4, 2010
Accepted: May 24, 2011
Published online: May 26, 2011
Published in print: May 1, 2012

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji Univ., Shanghai 200092, China. E-mail: [email protected]
Lecturer, State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji Univ., Shanghai 200092, China. E-mail: [email protected]
Jianzhong Li [email protected]
Professor, State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji Univ., Shanghai 200092, China (corresponding author). 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