Summary
An analysis is given which enables the shear strain in a piece of timber to be specified in terms of the difference between tangential and radial strain, herein termed the angular strain. The angular strain is then evaluated in terms of the orientation of two lines at right angles prior to deformation. The equations involved are simple and facilitate the evaluation of strain parameters which would otherwise require numerical computation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- a, b, c:
-
length parameters, Fig. 2
- C:
-
half chord length
- k:
-
constant of proportionality
- r:
-
radial coordinate (distance from pith)
- x:
-
length coordinate (board)
- α, β:
-
angle parameters, Fig. 1
- γ:
-
shear strain
- Δ:
-
width of segment
- ɛ:
-
angular strain
- #x025B;θ :
-
tangential strain
- ɛr :
-
radial strain
- τ1, τ2 :
-
components of shear strain, Fig. 1
- θ:
-
angle parameter, Fig. 2
- φ:
-
angle parameter, Fig. 3
- ψ:
-
angle parameter, Fig. 2
References
Bariska, M. 1993: Personal communication
Booker, R.; Ward, N.; Williams, Q. 1992: A theory of cross-sectional shrinkage distortion and its experimental verification. Wood Sci. Technol. 26: 353–368
Greenhill, W. L. 1940: The shrinkage of Australian timbers. Part 2: Shrinkage data for 170 Timbers CSIRO Div. Forest Prod. Melbourne, Australia, Techn. Paper No. 35
Love, A. E. H. 1944: A Treatise on the Mathematical Theory of Elasticity. New York, Dover
Wang, C. T. 1953: Applied Elasticity. New York. McGraw Hill
Author information
Authors and Affiliations
Additional information
The author wishes to thank Mr. J. W. Sutherland for his assistance with the presentation of this paper.
Rights and permissions
About this article
Cite this article
Hunter, A.J. Exact analysis of shear strain in wood. Wood Sci.Technol. 29, 201–208 (1995). https://doi.org/10.1007/BF00204587
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00204587