A 50 mm x 50 mm square of graphite/epoxy ($E_{11} = 207$ GPa, $E_{22} = 5$ GPa, $G_{12} = 2.5$ GPa, $\nu_{12} = 0.25$) with its fibers oriented at $+30^\circ$ with respect to the $+x$-axis is compressed 0.050 mm in both the x and y directions. No shear deformations are allowed. Compute the state of stress ($\sigma_x$, $\sigma_y$, $\tau_{xy}$) resulting from this compression.