For the linear-strain elements shown in Figure P8-5, determine the strains (x, (y, and (xy. Evaluate the stresses (x, (y, and (xy at the centroids. The coordinates of the nodes are shown in units of inches. Let E = 30 × 106 psi, v = 0.25, and t = 0.25 in. for both elements. Assume plane stress conditions apply. The nodal displacements are given as

u1 = 0.0 in. ........................................ v1 = 0.0 in.

u2 = 0.001 in. .................................. v2 = 0.002 in.

u3 = 0.0005 in. ................................ v3 = 0.0002 in.

u4 = 0.0002 in. ................................ v4 = 0.0001 in.

u5 = 0.0 in. .................................... v5 = 0.0001 in.

u6 = 0.0005 in. ................................. v6 = 0.001 in.

(Use the results of Section 8.2.)

Figure P8-5

(a)

(b)

(0, 6 3 (0, 3) 5 (2, 3) 6. (4, 0) (2, 0) (0, 4) (0. 2) 5 (3, 2) 2 (3,0) (6,0)