TECHNICAL PAPERS
Nov 1, 1997

Period Formulas for Moment-Resisting Frame Buildings

Publication: Journal of Structural Engineering
Volume 123, Issue 11

Abstract

Most seismic codes specify empirical formulas to estimate the fundamental vibration period of buildings. Evaluated first in this paper are the formulas specified in present U.S. codes using the available data on the fundamental period of buildings “measured” from their motions recorded during eight California earthquakes, starting with the 1971 San Fernando earthquake and ending with the 1994 Northridge earthquake. It is shown that, although the code formulas provide periods that are generally shorter than measured periods, these formulas can be improved to provide better correlation with the measured data. Subsequently, improved formulas for estimating the fundamental periods of reinforced concrete (RC) and steel moment-resisting frame buildings are developed by regression analysis of the measured period data. Also recommended are factors to limit the period calculated by a rational analysis, such as Rayleigh's method.

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References

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Applied Technological Council. (1978). “Tentative provisions for the development of seismic regulations for buildings.”Rep. No. ATC3-06, Applied Technological Council, Palo Alto, Calif.
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Bertero, V. V., Bendimerad, F. M., and Shah, H. C. (1988). “Fundamental period of reinforced R/C moment-resisting frame structures.”Rep. No. 87, John A. Blume Earthquake Engrg. Ctr., Stanford Univ., Stanford, Calif.
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Chopra, A. K. (1995). Dynamics of structures: theory and applications to earthquake engineering. Prentice-Hall, Inc., Upper Saddle River, N.J.
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Goel, R. K., and Chopra, A. K. (1997). “Vibration properties of buildings during earthquakes.”Rep. to be Published, Earthquake Engrg. Res. Ctr., Univ. of California, Berkeley, Richmond, Calif.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 123Issue 11November 1997
Pages: 1454 - 1461

History

Published online: Nov 1, 1997
Published in print: Nov 1997

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Authors

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Rakesh K. Goel
Asst. Prof., Dept. of Civ. and Envir. Engrg., Syracuse Univ., Syracuse, NY, 13244-1190; currently at Dept. of Civ. and Envir. Engrg., Cal Poly State Univ., San Luis Obispo, CA 93407.
Anil K. Chopra, Members, ASCE
Johnson Prof., Dept. of Civ. Engrg., Univ. of California, Berkeley, CA 94720.

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