Post-Elastic Dynamics of Three-Dimensional Frames

by Anthony G. Gillies, Asst. Engr.; Beca, Carter, Hollings & Ferner, Consulting Engrs., Box 3942, Wellington, New Zealand,
Robin Shepherd, (F.ASCE), Prof. of Civ. Engrg.; School of Engrg., Univ. of Calif., Irvine, Calif. 92717,

Serial Information: Journal of the Structural Division, 1981, Vol. 107, Issue 8, Pg. 1485-1501

Document Type: Journal Paper


The time-history response of a three-dimensional reinforced concrete frame structure to concurrent earthquake ground motions is analyzed. Yielding is allowed in both beams and columns by a series of yield surface options selected according to the principal structural actions of the component elements. Comparisons between the behavior patterns arising from unidirectional and concurrent earthquake loading indicate that the non-linear response predicted by a full three-dimensional analysis is significantly different from the response based on a planar frame idealization. Concurrent loading causes asymmetric distribution of yield as a result of the interaction of the orthogonal displacement components, and this gives rise to an eccentricity between the mass and the instantaneous center of stiffness at some levels in the building. Nominally symmetric buildings can develop torsional responses in moderate earthquakes.

Subject Headings: Earthquakes | Three-dimensional analysis | Elasticity | Frames | Reinforced concrete | Structure reinforcement | Concrete frames | Ground motion

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