For the plane strain elements shown in Figure P6-9, the nodal displacements are given as

u1 = 0.001 in...............v1 = 0.005 in..............u3 = 0.001 in.

v2 = 0.0025 in..............u3 = 0.0 in.....................v3 = 0.0in.

Determine the element stresses σx, σy, τxy, σ1, and σ2 and the principal angle u p. Let E = 10 × 106 psi and v = 0.25, and use unit thickness for plane strain. All coordinates are in inches.

(a)

(b)

(c)

(d)

(e)

(f)

(2, 5) (2. 1) (4, 1) 3. (4, 4) 3 2 (2, 2) (4, 2)