Research Article
May 1976
Elastic Buckling of Arches under Symmetrical Loading
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 102, Issue 5
Abstract
Critical loads and the corresponding reactions, maximum moments, and crown deflections of two-hinged and fixed, parabolic and circular arches of constant cross section subjected either to a vertical concentrated load at the crown or a vertical load uniformly distributed along the arch axis are tabulated for a wide range of rise/span ratios. It is shown that the critical loads and the corresponding horizontal reactions for antisymmetrical (sidesway) modes are rather insensitive to the prebuckling displacements while the opposite is true for the symmetrical models. The antisymmetrical mode corresponds to a bifurcation type instability while the symmetrical mode corresponds to a snap-through type of buckling. The data are analyzed and simplified methods for estimating the critical loads and the critical horizontal reactions, or both, are suggested for antisymmetrical buckling. In addition to the solutions described previously, accurate values of the critical loads and horizontal reactions are reported for antisymmetrical buckling of two-hinged and fixed, parabolic and catenary arches subjected to loadings which cause pure axial compression and no prebuckling displacements.
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Published In
Journal of the Structural Division
Volume 102 • Issue 5 • May 1976
Pages: 1085 - 1095
Copyright
© 1976 American Society of Civil Engineers.
History
Published in print: May 1976
Published online: Feb 1, 2021
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Authors
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Walter J. Austin, F.ASCE
Prof. of Civ. Engrg., Rice Univ., Houston, Tex.
Timothy J. Ross, AM.ASCE
Struct. Engrg., Defense Intelligence Agency, Washington, D.C.; formerly, Grad. Fellow, Rice Univ., Houston, Tex.
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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.