TECHNICAL PAPERS
Aug 1, 1987

Probabilistic Design of Moment‐Resistant Frames Under Seismic Loading

Publication: Journal of Structural Engineering
Volume 113, Issue 8

Abstract

This is the second part of a two‐part paper on the development and preliminary testing of a methodology for the optimal probabilistic limit states design of seismic‐resistant steel frames. Part two illustrates the design of a three‐story, single‐bay, moment‐resistant steel frame using a computer‐aided design system called DELIGHT.STRUCT. Linear and non‐linear time history analyses are built into the design procedure itself rather than serving as a check at the end of the design process. The frame's performance is assessed on the basis of its statistical response to gravity loads alone, gravity loads plus a family of moderate earthquakes, and, finally, gravity loads combined with an ensemble of rare severe earthquake ground motions. Design objectives include the frame volume, minimum story drifts and maximum hysteretically dissipated energy. The Phase I–II–III Method of Feasible Directions is used to solve the constrained optimization problem for an optimal design that balances the attributes of minimum volume, minimum story drifts and maximum dissipated energy in a desirable way.

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References

1.
American Institute of Steel Construction, Manual of Steel Construction, Seventh Edition, 1973.
2.
Applied Technology Council, “Working Draft of Recommended Seismic Design Provisions for Buildings,” Jan. 1976.
3.
Applied Technology Council, “Tentative Provisions for the Development of Seismic Regulations for Buildings,” National Bureau of Standards, Special Publication SP510, (ATC Report 3‐ob), Jun. 1978.
4.
Arias, A., “A Measure of Earthquake Intensity,” Seismic Design for Nuclear Power Plants, MIT Press, Cambridge, Mass., 1970.
5.
Austin, M. A., Pister, K. S., Mahin, S. A., “A Methodology for the Computer‐Aided Design of Seismic‐Resistant Steel Structures,” Report No. UCB/EERC‐85/13, Earthquake Engineering Research Center, University of California, Berkeley, Dec., 1985.
6.
Austin, M. A., Pister, K. S., Mahin, S. A., “Probabilistic Design of Earthquake‐Resistant Structures,” Journal of Structural Engineering, ASCE, Vol. 113, No. 8, 1987, pp. 1642–1659.
7.
Austin, M. A., and Pister, K. S., “Design of Seismic‐Resistant Friction‐Braced Frames,” Journal of the Structural Division, ASCE, Vol. 111, No. 12, 1985, pp. 2751–2769.
8.
Balling, R. J., Pister, K. S., and Polak, E., “DELIGHT.STRUCT: A Computer‐Aided Design Environment for Structural Engineering,” Computer Methods in Applied Mechanics and Engineering, 1983, pp. 237–251.
9.
Balling, R. J., Ciampi, V., Pister, K. S., and Polak, E. “Optimal Design of Seismic‐Resistant Planar Steel Frames,” Report No. EERC 81‐20, Earthquake Engineering Research Center, University of California, Berkeley, Calif., Dec. 1981.
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Gumbel, E., Statistics of Extremes, Columbia University Press, New York, N.Y., 1958.
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Recommended Lateral Force Requirements and Commentary, Seismology Committee, Structural Engineers Association of California, San Francisco, Calif., 1975.
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Singh, J. P., “Characteristics of Near Field Ground Motions and their Importance in Building Design,” ATC‐10 Seminar, San Francisco, Calif., Mar. 1984.
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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 8August 1987
Pages: 1660 - 1677

History

Published online: Aug 1, 1987
Published in print: Aug 1987

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Authors

Affiliations

M. A. Austin
Postdoctoral Res. Engr., Dept. of Civ. Engrg., Univ. of California, Berkeley, CA 94720
K. S. Pister
Roy W. Carlson Prof. of Engrg., Dept. of Civ. Engrg., Univ. of California, Berkeley, CA 94720
S. A. Mahin
Prof. of Struct. Engrg., Dept. of Civ. Engrg., Univ. of California, Berkeley, CA 94720

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