Research Article
Apr 1968
Stability of Spaceframes
Authors: Mehdi S. Zarghamee, AM.ASCE, and Jayant M. ShahAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 94, Issue 2
Abstract
Nonlinear equations governing the behavior of spaceframes whose members undergo finite deflections and moderate chord rotations are presented. The beam-column effect including the effect of flexural shortening is taken into account, while twist due to torsion is assumed to be small. The method of solution is based upon the Newton method, and the corresponding tangent stiffness matrix is given. The solution for a particular loading is obtained by applying successive corrections to the approximate solution by means of the tangent stiffness matrix. A tangent stiffness matrix which is not positive, definitely implies that the potential energy of the corresponding equilibrium configuration is not at a minimum, and thus the configuration is unstable. Therefore, the lowest value of the load for which the determinant of the tangent stiffness matrix vanishes gives the critical buckling load for the structure. The formulation may be used for predicting the buckling loads and the load-deformation history for arches or shell-like spaceframes. Buckling of a shallow arch is investigated as an illustration. The first two branching points on the load-deflection curve, indicating the asymmetric modes of buckling, are determined.
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Published In
Journal of the Engineering Mechanics Division
Volume 94 • Issue 2 • April 1968
Pages: 371 - 384
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Apr 1968
Published online: Feb 3, 2021
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Mehdi S. Zarghamee, AM.ASCE
Senior Staff Engr., Structural Mechanics Div., Simpson Gumpertz & Heger, Inc. Cambridge, Mass.
Jayant M. Shah
Senior Staff Engr., Structural Mechanics Div., Simpson Gumpertz & Heger, Inc., Cambridge, Mass.
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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.