Approximate Analysis of Multistory Multibay Frames

by Paul C.K. Chan, Engr.; F.M. Kraus and Assocs., Montreal, Quebec, Canada,
Wai K. Tso, (A.M.ASCE), Assoc. Prof.; Dept. of Civ. Engrg. and Engrg. Mechanics, McMaster Univ., Hamilton, Ontario, Canada,
Arthur C. Heidebrecht, (M.ASCE), Prof.; Dept. of Civil Engrg. and Engrg. Mechanics, McMaster Univ., Hamilton, Ontario, Canada,

Serial Information: Journal of the Structural Division, 1975, Vol. 101, Issue 5, Pg. 1021-1035

Document Type: Journal Paper


An approximate analysis of multistory, multibay elastic frames subjected to static lateral loads is developed. The approximation is made that the axial deformations of the columns have hyberbolic sine variation across the width of the building. Assuming points of contraflexure at the mid-heights of the columns and at the midspans of the connecting beams and using the energy approach permits the development of a set of two coupled differential equations. These can be reduced to one equation the solution of which can be written explicitly for each loading condition. Examples comparing results with those obtained by the exact stiffness matrix method show that the method yields acceptably accurate deflections, axial stresses, and column shears. Design curves for the rapid determination of these parameters are included.

Subject Headings: Mid-rise buildings | Frames | Elastic analysis | Lateral loads | Load factors | Axial forces | Static loads | Approximation methods

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