Analysis of Wood Cantilever Loaded at Free End

Authors

  • Jen Y. Liu
  • Douglas R. Rammer

Keywords:

Bending stress, cantilever, deflection, orthotropic material, shear stress, wood

Abstract

A wood cantilever loaded at the free end was analyzed using the anisotropic elasticity theory. This report presents a two-dimensional numerical example of a Sitka spruce cantilever in the longitudinal- radial plane. When the grain slope is zero, i.e., the beam axis coincides with the longitudinal axis of wood, the stresses in the beam and the deflection of the beam are the same as those for an isotropic beam; when the grain slope is different from zero, the stresses and the deflection can increase significantly.

References

Hoyle, R. J. Jr. 1982. Lumber: Grades, sizes, species. Pages 147-182 in A. G. H. Dietz et al., eds. Wood as a structural material. Pennsylvania State University, EMMSE, Vol. II.nJones, R. M. 1975. Mechanics of composite materials. Scripta Book Co., Washington, DC. 344 pp.nKilic, O., A. Aktas, and M. H. Dirikolu. 2001. An investigation of the effects of shear on the deflection of an orthotropic cantilever beam by the use of anisotropic elasticity theory. Composites Sci. Technol.61(14): 2055-2061.nLekhnitskii, S. G. 1968. Anisotropic plates. Gordon and Breach Science, New York, NY. 534 pp.nLiu, J. Y. 2000. Effects of shear coupling on shear properties of wood. Wood Fiber Sci.32(4):458-465.nTimoshenko, S., and J. N. Goodier. 1951. Theory of elasticity. McGraw-Hill, New York, NY. 506 pp.nTsai, S. W., and H. T. Hahn. 1980. Introduction to composite materials. Technomic Publishing Co., Inc., Lancaster, PA. 455 pp.n

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Published

2007-06-05

Issue

Number 3 / July 2003

Section

Research Contributions

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