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http://dx.doi.org/10.12652/Ksce.2013.33.2.409

Stability and P-Δ Analysis of Generalized Frames with Movable Semi-Rigid Joints  

Min, Byoung Cheol (Civil & Environmental Eng., Induk University)
Publication Information
KSCE Journal of Civil and Environmental Engineering Research / v.33, no.2, 2013 , pp. 409-422 More about this Journal
Abstract
For stability design and P-${\Delta}$ analysis of steel frames with semi-rigid connections, the explicit form of the exact tangential stiffness matrix of a generalized semi-rigid frame element having rotational and translational connections is firstly derived using the stability functions. And its elastic and geometric stiffness matrix is consistently obtained by Taylor series expansion. Next depending on connection types of semi-rigidity, the corresponding tangential stiffness matrices are degenerated based on penalty method and static condensation technique. And then numerical procedures for determination of effective buckling lengths of generalized semi-rigid frames members and P-${\Delta}$ and shortly addressed. Finally three numerical examples are presented to demonstrate the validity and accuracy of the proposed method. Particularly the minimum braced frames and coupled buckling modes of the corresponding frames are investigated.
Keywords
Semi-rigid; Frame; Buckling; Stability function; Tangent stiffness matrix; Elastic and geometric stiffness matrix;
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Times Cited By KSCI : 2  (Citation Analysis)
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