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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Wood is an orthotropic material. Douglas fir has the following strain–stress relations relative to orthtropic axes x1, x2, x3:
Â

where the components of stress are given in MPa. The x1 axis is parallel to the grain, the x2 axis is in the radial direction of the tree and the x3 axis is tangent to the growth rings of the tree. At a particle of a Douglas fir log subjected to external forces, the components of stress are
 =0.
(a) Determine the orientation of the principal axes of stress at that particle.
(b) Determine the components of strain of that particle with respect to the axes x1, 2’ x3x.
(c) Determine the orientation of the principal axes of strain at that particle.
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