First- and Second-Order Stiffness Matrices and Load Vector of Beam-Columns with Semirigid Connections
Publication: Journal of Structural Engineering
Volume 123, Issue 5
Abstract
The firstand second-order stiffness matrices and load vector of a prismatic beam-column of double symmetrical cross section with semirigid end connections including the effects of end axial loads (tension or compression) and shear deformations are derived in a classical manner. The derived matrices can be used in the stability, firstand second-order elastic analyses of framed structures with rigid, semirigid, and simple connections. The classical stability functions are utilized in the stiffness matrix and in the load vector. The proposed stiffness matrices can also be utilized in the inelastic analysis of frames whose members suffer from flexural degradation or, on the contrary, stiffening at their end connections. The validity of both matrices is verified against available solutions of stability analysis and nonlinear geometric elastic analysis of framed structures. Three examples are included that demonstrate the effectiveness of the proposed matrices.
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Information & Authors
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Published In
Journal of Structural Engineering
Volume 123 • Issue 5 • May 1997
Pages: 669 - 678
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: May 1, 1997
Published in print: May 1997
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