Large Deflection Analysis of Inelastic Plane Frames
Publication: Journal of Structural Engineering
Volume 114, Issue 1
Abstract
A general method for the large deflection analysis of inelastic plane frames is presented. The large deflection analysis is based on the Eulerian formulation in which a member tangent stiffness matrix is constructed with reference to the current deformed configuration. The exact differential equation and the moment‐thrust‐curvature relations of a member subjected to large relative deflection are used for deriving the member tangent stiffness matrix. A member tangent stiffness matrix for W‐sections of elasto‐plastic material is constructed as an example and its application to the large deflection analysis of inelastic frames is demonstrated by several examples. A simple form of the member tangent stiffness matrix is deduced from the above exact formulation by utilizing the assumption of small member relative deflections. It is shown that the simple one can yield excellent results compared to those obtained by the exact formulation. Hence it is reasonable to adopt the assumption of small member relative deflections in the large deflection analysis of inelastic framed structures.
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Information & Authors
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Published In
Journal of Structural Engineering
Volume 114 • Issue 1 • January 1988
Pages: 184 - 197
Copyright
Copyright © 1988 ASCE.
History
Published online: Jan 1, 1988
Published in print: Jan 1988
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