For the linear-strain element shown in Figure P8-6, determine the strains (x, (y, and (xy. Evaluate these strains at the centroid of the element; then evaluate the stresses (x, (y, and (xy at the centroid. The coordinates of the nodes are shown in units of millimeters. Let E = 210 GPa,v = 0.25, and t = 10 mm. Assume plane stress conditions apply. Use the nodal displacements given in Problem 8.5 (converted to millimeters). Note that the β_s and γ_s from the example in Section 8.2 cannot be used here as the element in Figure P8-6 is oriented differently than the one in Figure 8-3.

Figure P8-6

(6, 6) (3, 3) 4. (6, 3) (0, 0) (3, 0) (6, 0)