TECHNICAL PAPERS
Oct 1, 1992

Re‐examination of Ylinen and Other Column Equations

Publication: Journal of Structural Engineering
Volume 118, Issue 10

Abstract

In 1991, Ylinen's column equation was adopted for the design of wood columns in the United States. Ylinen originally derived this equation as a plastic buckling criterion, using a nonlinear compressive stress‐strain law as the starting point. The stress‐strain law contained a parameter c1, which controlled the degree of nonlinearity. Linearity was achieved at c=1. This same parameter appeared in the final column equation. At c=1, the column equation reduced to elementary theory, i.e., to a perfectly plastic‐perfectly elastic failure criterion. Column design equations are viewed in this paper as interaction equations between two modes of failure: crushing and buckling. Ylinen's column equation is found to result from the addition of a cross‐product term to the linear interaction equation. This enables us to view c as measuring the degree of departure from the assumptions of elementary theory, including such phenomena as inhomogeneity of material, imperfections of shape, and accidental eccentricity of loading, in addition to non‐linearity of the stress‐strain law. Column design equations from wood design codes in Europe and Canada are compared and discussed from this point of view.

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References

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 118Issue 10October 1992
Pages: 2716 - 2728

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Published online: Oct 1, 1992
Published in print: Oct 1992

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John J. Zahn
Res. Gen. Engr., U.S. Dept. of Agr., Forest Service, Forest Products Lab., Madison, WI 53705‐2398

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