A consideration of the torsional response of building frames
DOI:
https://doi.org/10.5459/bnzsee.12.1.11-21Abstract
History of elastic static procedures for the seismic analysis of torsionally unbalanced building structures is briefly reviewed. It is suggested that the provisions of NZS 4203:1976, accounting for modal coupling, are based on inconsistent interpretation of results from well known two-degrees-of-freedom models. An alternative dynamic procedure is described which, while retaining the basic two-dimensional features of NZS 4203:1976 torsional provisions, is equivalent to three-dimensional modal spectral analysis. The procedure also results in a substantial simplification of the analysis compared with standard dynamic computer techniques now available to the structural engineer.
References
Standards Association of New Zealand, NZ4203:1976 "Code of Practice for General Structural Design and Design Loadings for Buildings", Wellington, February 1976, 80 pp.
Housner, G. W. and Outinen, H., "The Effect of Torsional Oscillations on Earthquake Stresses", Bull. Seismological Society of America, Vol. 48, 1958, pp. 221-229.
Bustamante, J. I. and Rosenblueth, E., "Building Code Provisions on Torsional Oscillations", Proc. 2nd World Conf. Earthquake Engineering, Vol. 2, Japan, 1960, pp. 879-894.
Skinner, R. I., Skelton, D. W. C., and Laws, P. A., "Unbalanced Buildings and Buildings with Light Powers Under Earthquake Forces", Proc. 3rd World Conf. Earthquake Engineering, New Zealand, Vol. 2, 1965, pp. 586-602.
Penzien, J. and Chopra, A. K., "Earthquake Response of Appendages on a Multi-storey Building", Proc. 3rd World Conf. Earthquake Engineering, New Zealand, Vol. 2, 1965, pp. 476-486.
Elorduy, J., Rosenblueth, E., "Torsiones Seismicas en Edificios de Un Piso", Report 164, Engineering Institute, National University of Mexico, Mexico D.F., April 1968, 32 pp.
Newmark, N. M. and Rosenblueth, E., "Fundamentals of Earthquake Engineering", Prentice Hall, Englewood Cliffs, 1970, 640 pp.
Penzien, J., "Earthquake Response of Irregularly Shaped Buildings", Proc. 4th World Conf. Earthquake Engineering, Chile, Vol. 2, 1969, pp. 75-88.
Kan, C. L. and Chopra, A. K., "Coupled Lateral Torsional Response of Building to Ground Motion", Report EERC 76-13, Earthquake Engineering Research Centre, Univ. of California, Berkeley, May 1976, 167 pp.
Rutenberg, A., "Response of Single Storey Asymmetric Buildings to a White Noise Base Excitation", Report in preparation.
Elms, D. G., "Seismic Torsional Effects on Buildings", Bull. N.Z. National Society for Earthquake Engineering, Vol. 9, No. 1, 1976, pp. 79-83. DOI: https://doi.org/10.5459/bnzsee.9.1.79-83
Rutenberg, A., Hsu, T. I. and Tso, W.K., "Response Spectrum Techniques for Asymmetric Buildings", Earthquake Engineering & Structural Dynamics, Vol. 6, 1978, pp. 427-435. DOI: https://doi.org/10.1002/eqe.4290060502
Elms, D. G., "Seismic Torsional Coupling in Structures", Proc. 6th Australasian Conf. on the Mechanics of Structures & Materials, Christchurch, New Zealand, 1977, pp. 189-193.
Gisbon, R. F., Moody, M. L., and Ayre, R. S., "Response Spectrum Solution for Earthquake Analysis of Asymmetrical Multistoried Buildings", Bull. Seismological Society of America, Vol. 62, 1972, pp. 215-229.
Irwin, A. W., "Analysis of Tall Shear Wall Buildings Including In-Plane Floor Deformations", Build International, Vol. 8, 1975, pp. 43-56.
Wilson, E. L. and Dovey, H. H., "Three Dimensional Analysis of Building Systems - TABS", Earthquake Engineering Research Centre Report EERC 72-8, University of California, Berkeley, December 1972, 47 pp.
Poole, R. A., "Analysis for Torsion Employing Provisions of NZRS 4203: 1974", Bull. N.Z. Nat. Society for Earthquake Engineering, Vol. 10, No. 4, 1977, pp. 219-225. DOI: https://doi.org/10.5459/bnzsee.10.4.219-225
Reinhorn, A., Rutenberg, A., and Gluck, J., "Dynamic Torsional Coupling in Asymmetric Building Structures", Building and Environment, Vol. 12, 1977, pp. 251-261. DOI: https://doi.org/10.1016/0360-1323(77)90027-0
Clough, R. W., and Penzien, J., "Dynamics of Structures", McGraw-Hill, Kogakusha, Tokyo, 1975, 634 pp.
Shiga, T. et al, "Torsional Response of Structures to Earthquake Motion", Proc. U.S. - J a p a n Seminar on Earthquake Engineering, Sendai, Japan, 1970, p p . 156-171.
Kosko, E., "The Frequency Spectrum of a Structural Member in Coupled Flexural Torsional Vibration", J. Sound and Vibration, Vol. 7, 1968, pp. 143-155. DOI: https://doi.org/10.1016/0022-460X(68)90262-9
Clough, R. W., "Earthquake Resistant Design of Tall Buildings", Proc. Symp. Tall Buildings, Planning Design and Construction, Nashville, Tenn. 1974. pp. 477-506.
