For the linear-strain element shown in Figure P8-6, determine the strains (x, (y, and (xy. Evaluate these

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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 βs and γs 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)
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