Finite Deformation of Biaxially Loaded Columns

by Lawrence A. Soltis, Asst. Prof.; Dept. of Engrg., Univ. of Wisconsin-Extension, Madison, WI,
Paul Christiano, Assoc. Prof.; Dept. of Civ. and Mineral Engrg., Univ. of Minnesota, MN,

Serial Information: Journal of the Structural Division, 1972, Vol. 98, Issue 12, Pg. 2647-2662

Document Type: Journal Paper


An analysis is presented within the context of finite deformation theory to describe the behavior of linearly elastic members of thin-walled open cross section subjected to biaxial bending and a compressive load. Governing differential equations are presented which permit the computation of a consistent set of large translations and twist. Load-deformation curves are presented for a typical beam and beam-column, and comparison is made with displacements based on small displacement theory. It is shown that the differences between large and small displacement theories are significant when the loading exceeds approximately 80% of the critical value. In the case of the beam-column, loading is extended beyond the buckling load.

Subject Headings: Biaxial loads | Displacement (mechanics) | Deformation (mechanics) | Columns | Elastic analysis | Beam columns | Structural behavior | Linear analysis

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