Problem Statement

The strains at a point in an orthotropic ply are $\epsilon_X$ = 0.008 $\epsilon_Y$ = 0.003 and $\gamma_{X_Y}$ = 0.0005 and are at an angle of $\theta$ = 45 degrees. Calculate the strains in the directions of the material axes (1-2). Below is a visual representation of an orthotropic ply layered at 45 degree orientations along with a cross sectional view of the first layer.
Figure 5: Orthotropic Ply
Image 3-1 Image 3-1-1