Re‐examination of Ylinen and Other Column Equations

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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 c⩽1, 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 load...

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