Research Article
Oct 1972
Long-Wave Extensional Buckling of Large Regular Frames
Publication: Journal of the Structural Division
Volume 98, Issue 10
Abstract
In very high and slender frames with very stiff members, the safety against long-wave buckling modes involving axial extensions requires investigation. The problem is solved exactly for a planar regular rectangular frame of rectangular boundary, compressed between two sliding rigid half spaces. The problem is reduced to a system of six linear first-order difference equations which are solved in terms of discrete complex exponentials. Because the coefficients of the determinant to varnish depend on axial loads nonlinearly, by means of explicitly inexpressible complex roots and eigenvectors of another 6 times 6 matrix and the well-known nonlinear stability functions, the critical load is determined numerically by a procedure analogous to the method regula falsi. The ratio of column critical force to column Euler load depends eessentially on the ratio of column and beam bending stiffnesses, the ratio of building slenderness to column slenderness, and weakly on column slenderness ratio.
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Published In
Journal of the Structural Division
Volume 98 • Issue 10 • October 1972
Pages: 2269 - 2289
Copyright
© 1972 American Society of Civil Engineers.
History
Published in print: Oct 1972
Published online: Feb 1, 2021
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Authors
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Zdenek P. Bažant, M.ASCE
Assoc. Prof. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
Martin Christensen
Doctoral Candidate, Dept. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.