Stability and Second-Order Analyses of Frames with Semirigid Connections under Distributed Axial Loads
Publication: Journal of Structural Engineering
Volume 127, Issue 11
Abstract
The stiffness and geometric stiffness matrices and load vector of a prismatic beam-column with semirigid connections under any distributed axial load are presented. The derived matrices can be used in the stability and second-order analyses of 2D and 3D framed structures with sidesway uninhibited, partially inhibited, or totally inhibited in any type of construction. The effects of diagonal truss bracing and connection flexural stiffness on the lateral stability of frames are discussed. Four examples are included that show the simplicity and effectiveness of the proposed method in the analysis of 2D and 3D framed structures with semirigid connections subjected to concentrated and distributed axial loads. It is shown that the stability and second-order behavior of framed structures depend on (1) geometry and column layout; (2) size and type of bracing against sidesway; (3) type and degree of restraints at the column supports; (4) type of connection (i.e., degree of restraint) and the relative flexural stiffness (EI/L) between the beams and columns; and (5) magnitude and distribution of the applied loads. The proposed stiffness and load matrices are presented in a practical form so that they can be readily applied in the computer analysis of 2D and 3D framed structures.
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Received: Aug 18, 2000
Published online: Nov 1, 2001
Published in print: Nov 2001
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