Approximate Seismic Lateral Deformation Demands in Multistory Buildings
Publication: Journal of Structural Engineering
Volume 125, Issue 4
Abstract
An approximate method to estimate the maximum lateral deformation demands in multistory buildings responding primarily in the fundamental mode when subjected to earthquake ground motions is presented. This method permits a rapid estimation of the maximum roof displacement and of the maximum interstory drift for a given acceleration time history or for a given displacement response spectrum. A multistory building is modeled as an equivalent continuum structure consisting of a combination of a flexural cantilever beam and a shear cantilever beam. The simplified model is used to investigate the ratio of the spectral displacement to the roof displacement and the ratio of the maximum interstory drift ratio to the roof drift ratio. The effect of the distribution of lateral forces along the height of the building and of the ratio of overall flexural and shear deformations is examined. Lateral deformation demands of a 10-story steel building computed with the simplified method when subjected to various earthquake ground motions are compared with those computed using step-by-step time history analyses. It is shown that the method provides good approximations, which are useful for the preliminary design of new buildings or for a rapid evaluation of existing buildings.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Algan, B. B. ( 1982). “Drift and damage considerations in earthquake-resistant design of reinforced concrete buildings,” PhD thesis, University of Illinois, Urbana, Ill.
2.
Alonso, J., Miranda, E., and Santa-Ana, P. ( 1996). “Inelastic displacement demands for structures built on soft soils.” Proc., 11th World Conf. on Earthquake Engrg., Paper 40, Elsevier, Oxford, England.
3.
Blume, J. A. (1968). “Dynamic characteristics of multi-story buildings.”J. Struct. Div., ASCE, 94, 337–402.
4.
Chopra, A. K., and Cruz, E. F. (1986). “Evaluation of building code formulas for earthquake forces.”J. Struct. Engrg., ASCE, 112, 1881– 1899.
5.
Chopra, A. K. ( 1995). Dynamic of structures, theory and applications to earthquake engineering . Prentice-Hall, Englewood Cliffs, N.J.
6.
Collins, K. R., Wen, Y. K., and Foutch, D. A. ( 1996). “Dual-level seismic design: A reliability-based.” Earthquake Engrg. and Struct. Dyn., 25, 1433–1467.
7.
Heidebrecht, A. C., and Stafford Smith, B. (1973). “Approximate analysis of tall wall-frame structures.”J. Struct. Div., ASCE, 99(2), 199–221.
8.
Khan, F. R., and Sbarounis, J. A. (1964). “Interaction of shear walls and frames.”J. Struct. Div., ASCE, 90(3), 285–335.
9.
Miranda, E. ( 1991). “Seismic evaluation and upgrading of existing buildings,” PhD thesis, University of California at Berkeley, Calif.
10.
Miranda, E. (1993). “Evaluation of site-dependent inelastic seismic design spectra.”J. Struct. Engrg., ASCE, 119(5), 1319–1338.
11.
Miranda, E. ( 1996). “Assessment of the seismic vulnerability of existing buildings.” Proc., 11th World Conf. on Earthquake Engrg., Paper 513, Elsevier, Oxford, England.
12.
Moehle, J. P. (1984). “Strong motion drift estimates for R/C structures.”J. Struct. Engrg., ASCE, 110(9), 1988–2001.
13.
Moehle, J. P. ( 1992). “Displacement-based design of RC structures subjected to earthquakes.” Earthquake Spectra, 8(3), 403–428.
14.
Qi, X., and Moehle, J. P. ( 1991). “Displacement design approach for reinforced concrete structures subjected to earthquakes.” Rep. No. EERC/UCB-91/02, Earthquake Engineering Research Center, University of California, Berkeley, Calif.
15.
Saiidi, M., and Sozen, M. A. (1981). “Simple nonlinear seismic analysis of R/C structures.”J. Struct. Div., ASCE, 107(5), 937–951.
16.
Priestley, M. J. N. ( 1995). “Myths and fallacies in earthquake engineering—Conflicts between design and reality.” ACI Spec. Publ., 157, 231–254.
17.
Uang, C.-M. (1991). “Establishing R (or Rw) and Cd factors for building seismic provisions.”J. Struct. Engrg., ASCE, 117, 19–28.
18.
Uang, C.-M., and Maarouf, A. ( 1993). “Safety and economy considerations of UBC seismic force reduction factors.” Proc., 1993 Nat. Conf., Central United States Earthquake Consortium, Memphis, 121–130.
19.
Uniform Building Code . (1994). International Conference of Building Officials, Whittier, Calif.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 125 • Issue 4 • April 1999
Pages: 417 - 425
History
Received: Jun 16, 1997
Published online: Apr 1, 1999
Published in print: Apr 1999
Authors
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.