Strength of lumber under combined bending and compression
U.S. Dept. of Agriculture, Forest Service, Forest Products Laboratory, 1982 - Technology & Engineering - 13 pages
Wood members under combined bending and compression occur as structural elements in several important applications: as the top chords of trusses, as wall studs, as frame members in towers, and in other rigid frame structures. While strength in bending alone and compression have been extensively studied, the interaction of these two modes of failure is poorly understood, particularly for dimension lumber of common construction grades. The aim of this study was to define a failure locus in the plane of bending moment (M) versus compressive force (C). Attention was restricted to that portion of the plane where bending stress exceeds compressive stress since that is the region of greatest importance in the design of wood frame structures and trussed roofs. In order to limit the scope of the study, only one species (Western Hemlock) and one size (nominal 2 x 6) were studied.
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18 Axial eccentric 18 inches 19-inch element axial compression Axial eccentric 18 bending and compression boot center deflection CENTROIDAL coefficient coefficient of variation combined bending comparison compressive force computer model cov(ln covariance matrix curve fitting distributions of groups eccentric axial load effect of length EI)n equation failure load figures 9 finite element analysis FITTED PARABOLA five-element Forest Products four properties group five specimens index of quality input iteration knee-shape lateral deflection length effect line of action ln(Mu ln(n ln(yu long members magnetic tape mean members under combined moment-curvature relationship Monte Carlo nodal displacements nondestructive nonlinear normal normal distribution nth element paper tape parameters plastic buckling plot property curve pure bending quality index Ramberg-Osgood function randomly short member tests short specimens shown in figure shows simulated Specific gravity specimens in group strength THOUSAND LBS truss ultimate load var(ln variation wall studs western hemlock WFPL white fir