Research Article
Apr 1968
Large Deflections and Stability of Elastic Frame
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 94, Issue 2
Abstract
The analysis of large deflections of rectilinear frames subjected to arbitrary discrete loads and boundary conditions is presented. The problem is formulated as a system of simultaneous nonlinear equations obtained by combining the general solution of the exact nonlinear differential equation of bending and the equilibrium equations obtained for each of the segments between load points and/or points of discontinuity in curvature, along with the prescribed boundary conditions. The system of equations is solved by a modified Newton-Raphson procedure. A stability criterion dependent upon the properties of the load-deflection curve and the relationships between the displacements is used to study the stability of the frame. These curves are readily constructed for the entire loading history of the frame by the incremental load method, thus making it possible to study the pre-buckling as well as the post-buckling behavior of the frame. Examples are given to illustrate the method of analysis for a frame which remains stable throughout its entire loading history and for frames which exhibit either a bifurcation or a snap-through type of instability.
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Published In
Journal of the Engineering Mechanics Division
Volume 94 • Issue 2 • April 1968
Pages: 521 - 548
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Apr 1968
Published online: Feb 3, 2021
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Seng-Lip Lee, M.ASCE
Prof. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
Francisco S. Manuel
Project Engr., Teng and Assoc., Chicago, Ill.
Edwin C. Rossow, AM.ASCE
Asst. Prof. 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.