Probabilistic Estimation of Seismic Story Drifts in Reinforced Concrete Buildings
Publication: Journal of Structural Engineering
Volume 131, Issue 3
Abstract
Probabilistic techniques are of vital use in predicting the seismic story drifts of buildings, which vary due to uncertainties in the characteristics of future earthquake motions. This paper proposes a procedure for evaluating the expected mean and standard deviation of seismic story drifts of reinforced concrete buildings by considering both total and story failure mechanisms. The estimation process consists of a pushover analysis of the structure against inverted triangular forces to evaluate the most probable mechanism during earthquakes, followed by consideration of the relative reserve strengths to evaluate the probability of other mechanisms. The relative reserve strengths against story and total mechanisms are expressed by two newly defined story-safety and total-reduction factors, respectively. In this paper, the proposed procedure is verified by conducting dynamic response analyses of 9-story wall and frame structures with various story-safety and total-reduction factors using 36 records from 14 different earthquakes. The proposed procedure well predicted the mean and standard deviation of story drifts of the structures. Application to wall-frame structures is also discussed.
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Acknowledgments
The writers are grateful to Dr. Hisashi Umemura of the Nagoya Institute of Technology for his valuable comments and suggestions on the writing of the computer programs, and to Professor Yan-Gang Zhao of the Nagoya Institute of Technology for his valuable comments and discussions on probabilistic analysis. The writers would also like to thank the reviewers for their valuable comments and suggestions.
References
Abimanyu, R. D., Ichinose, T., Yamada, Y., and Yamazoe, T. (1997). “A study on collapse mechanism of pilotis RC buildings.” Proc. Japan Concrete Inst., 19(2), 501–506 (in Japanese).
American Concrete Institute (ACI). (2002). “Building code requirements for structural concrete and commentary.” ACI 318-02, Detroit.
Ang, A. H.-S., and Tang, W. H. (1975). Probability concepts in engineering planning and design, Basic Principles, Vol. I, Wiley, New York.
Architectural Institute of Japan (AIJ). (1999). Design guidelines for earthquake resistant reinforced concrete structures, AIJ, Tokyo (in Japanese).
Chopra, A. K., and Goel, R. K. (2001). “A modal pushover analysis procedure to estimate seismic demands for buildings: Theory and preliminary evaluation.” 2001/3 PEER Report, Pacific Earthquake Engineering Research Center (PEER), Berkeley, Calif.
Dinh, T. V., Umeno, T., and Ichinose, T. (2000). “Seismic evaluation of RC frame and wall structures predicting response displacement.” Proc. Japan Concrete Inst., 22(3), 1411–1416.
Dinh, T. V., and Ichinose, T. (2003). “Effects of stiffness and hysteretic models on seismic responses of frame buildings.” Proc. Tokai Region, Architectural Inst. of Japan, 385–388.
Dooley, L., and Bracci, J. M. (2001). “Seismic evaluation of column-to-beam strength ratios in reinforced concrete frames.” ACI Struct. J., 98(6), 834–851.
European Commission for Standardization. (1994). “Design provisions for earthquake resistance of structures.” Eurocode 8(EC8), CEN/TC250/SC8, European Commission for Standardization, Brussels, Belgium.
Federal Emergency Management Agency (FEMA). (2000). “Prestandard and commentary for the seismic rehabilitation of buildings.” FEMA-356, Washington, D.C.
Freeman, S. A. (1978). “Prediction of response of concrete buildings to severe earthquake motion.” Douglas McHenry Int. Symp. on Concrete and Concrete Structures, ACI SP-55, American Concrete Institute, Detroit, 589–605.
Haugen, E. B. (1968). Probabilistic approaches to design, Wiley, New York.
Ichinose, T., and Umeno, T. (2000). “Story shear safety factor to prevent story collapse in RC building.” Proc., 12th World Conf. on Earthquake Engineering, CD-ROM.
Ichinose, T., Umemura, H., Kagohashi, H., and Dinh, T. V. (2002). “Shape index for seismic evaluation of reinforced concrete buildings.” J. Struct. Construction Eng., (Transactions of AIJ), 560(10), 155–160 (in Japanese).
Lin, Y. K. (1967). Probabilistic theory of structural dynamics, McGraw-Hill, New York.
Lu, Y. (2002). “Comparative study of seismic behavior of multistory reinforced concrete framed structures.” J. Struct. Eng., 128(2), 169–178.
Marubashi, N., Umemura, H., and Ichinose, T. (2003). “Effects of strength degradation and variation on seismic responses of buildings.” Proc. of Tokai Region, Architectural Inst. of Japan, 377–380 (in Japanese).
Ministry of Land, Infrastructure, and Transport (MLIT). (2001). “Standard for seismic capacity evaluation of existing reinforced concrete buildings.” Japan Association for Building Disaster Prevention, Tokyo.
Park, R., and Paulay, T. (1975). Reinforced concrete structures, Wiley, New York.
Paulay, T., and Priestley, M. J. N. (1992). Seismic design of reinforced concrete and masonry buildings, Wiley, New York.
Pacific Earthquake Engineering Research Center. (PEER) (2000). “PEER strong motion database.” ⟨http://peer.berkeley.edu/smcat/search.html⟩ (Sept. 2, 2001).
Priestley, M. J. N. (1996). “Displacement-based seismic assessment of existing reinforced concrete buildings.” Bull. New Zealand Nat. Soc. for Earthquake Engrg., Waikanae, New Zealand, 29(4), 256–272.
Takeda, T., Sozen, M. A., and Nielson, N. N. (1970). “Reinforced concrete response to simulated earthquakes.” J. Struct. Div. ASCE, 96(12), 2557–2573.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 131 • Issue 3 • March 2005
Pages: 416 - 427
Copyright
© 2005 ASCE.
History
Received: Nov 18, 2002
Accepted: May 21, 2004
Published online: Mar 1, 2005
Published in print: Mar 2005
Notes
Note. Associate Editor: Sashi K. Kunnath
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