TECHNICAL NOTES
Jun 15, 2009

Dynamics of a Class of Horizontal Setback Buildings with Flexible Floor Diaphragm

Publication: Journal of Structural Engineering
Volume 135, Issue 7

Abstract

This technical note presents a convenient modeling/design procedure for a class horizontal setback building to minimize the adverse effect of in-plane floor flexibility. Existence of such a class requires proportional eigenvalue problems of all the constituting frames regardless of the floor properties. For L, T, + etc. shape of buildings, the eigenvalue problem (of the frames) along two orthogonal directions need not be proportional. Moreover, the presence of a nonrectangular joint region theoretically precludes the existence of such a class. A step-by-step proportioning procedure, in the presence of a nonrectangular joint region, is outlined such that (1) “nearly” rigid floor modes exist, and (2) participation of the flexible floor modes under spatially uniform ground motion is close to zero.

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Acknowledgments

The writer gratefully acknowledges Dr. Sudhir K. Jain, Professor, IIT Kanpur, India and Dr. N. Lakshmanan, Director SERC, India for their critical review, valuable comments and constant support.

References

Basu, D., and Gopalakrishnan, N. (2008). “Analysis for preliminary design of a class of torsionally coupled buildings with horizontal setbacks.” Eng. Struct., 30(5), 1272–1291.
Basu, D., and Jain, S. K. (2004). “Seismic analysis of asymmetric buildings with flexible floor diaphragm.” J. Struct. Eng., 130(8), 1169–1176.
Basu, D., and Jain, S. K. (2007). “Alternative method to locate centre of rigidity in asymmetric buildings.” Earthquake Eng. Struct. Dyn., 36(7), 965–973
Indian Standard (IS). (2002). “Criteria for earthquake resistant design of structure. Part I: General provisions and buildings.” IS 1893, Manak Bhavan, New Delhi, India.
Jain, S. K. (1984). “Seismic response of buildings with flexible floors.” J. Eng. Mech., 110(1), 125–129.
Jain, S. K., and Jain, C. K. (2003). “Dynamics of a class of horizontal setback buildings.” J. Eng. Mech., 129(9), 1092–1103.
Ju, S. H., and Lin, M. C. (1999). “Comparison of building analyses assuming rigid or flexible floors.” Lith. J. Phys., 125(1), 25–31.
Maybee, J. S., Goldberg, J. E., and Herness, E. D. (1966). “Dynamics of separable multistory buildings.” J. Engrg. Mech. Div., 92(2), 153–176.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 135Issue 7July 2009
Pages: 873 - 877

History

Received: Jun 24, 2004
Accepted: Feb 17, 2009
Published online: Jun 15, 2009
Published in print: Jul 2009

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Notes

Note. Associate Editor: Sashi K. Kunnath

Authors

Affiliations

Research Scholar, Dept. of Civil, Structural, and Environmental Engineering, State Univ. at Buffalo, Buffalo, NY 14260; formerly, Scientist, Structural Dynamics Lab, SERC, Chennai 600 113, India. E-mail: dhimaṉ[email protected]

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