A thin steel [ E = 30 , 000 ksi ; v = 0.3 ] plate in a state of plane stress has dimensions of 9.00 in . in the x direction and 3.50 in . in the y direction. The plate increases in length in the x direction by 0.0015 in . and decreases in the y direction by 0.00028 in . Compute the normal stresses σ x and σ y that produced these deformations. Assume that τ x y = 0 .