Revision of Engesser’s Approach to the Problem of Euler Stability for Built-Up Columns with Batten Plates
Publication: Journal of Engineering Mechanics
Volume 140, Issue 3
Abstract
Solving the buckling problem for a battened column as a statically indeterminate structure yields a Euler critical load that is significantly higher than the buckling load being obtained on the basis of Engesser’s assumption. The stability problem is reduced to numerically solving a two-point boundary value problem for a system of recurrence relations between deformation parameters of adjacent joint cross sections of the column. The expression of deformation parameters for each further joint cross section of the column as a linear function of deformation parameters for the preceding joint cross section is possible using the initial-value method. For columns with any degree of static indeterminacy, the critical force is determined as the smallest eigenvalue of the fourth-order system of homogeneous linear algebraic equations. A computer realization of the present method requires implementing reorthogonalization of the vectors of particular solutions for the system of recurrence relations. Plots of the buckling load for columns with any number of panels can be constructed as a function of the batten rigidity parameter. Applying these plots can be useful in selecting a cross section of the columns being designed.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 3 • March 2014
Pages: 566 - 574
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Sep 12, 2012
Accepted: May 29, 2013
Published online: Jun 1, 2013
Published in print: Mar 1, 2014
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