Euler Critical Force Calculation for Laced Columns
Publication: Journal of Engineering Mechanics
Volume 131, Issue 10
Abstract
The paper presents a method of solving the buckling problem of laced column as a statically indeterminate structure without analyzing determinants of high order. The flexural and torsional buckling problems of laced column are reduced to the two-point boundary value problem for a difference equation system. The value of Euler critical load is determined as a result of analyzing the fourth order determinant for column with any degree of static indeterminacy. The solution is based on the method of initial values. Stability of columns with any types of lattice (crosswise, serpentine, with batten struts); with any number of lattice panels and with variable lattice spacing can be examined by this manner. The analogy between the flexural and torsional buckling of the laced column is established. It enables one to use the same relations for consideration of both kinds of buckling. The obtained numerical results show that the Euler critical loads calculated by this method can be substantially differed from those based on the approximated Engesser’s approach. A PC program for checking stability of laced column by designer can be developed on the basis of the present method.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 131 • Issue 10 • October 2005
Pages: 997 - 1003
Copyright
© 2005 ASCE.
History
Received: Mar 26, 2003
Accepted: Feb 3, 2005
Published online: Oct 1, 2005
Published in print: Oct 2005
Notes
Note. Associate Editor: Hayder A. Rasheed
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