)the rectangular steel plate below measures 1 m x 0.5 m x 10 mm. assume that the 1 m dimension is in the x-direction and the 0.5 m dimension is in the y-direction. the plate is made of a material with an elastic modulus of 200 gpa and poisson’s ratio of 0.3. suppose a uniform normal stress, σx, of 125 mpa is applied in the x-direction. a) calculate the stress, σy, required to produce a transverse strain εy = 0 (in mpa). b) compute the normal strains in the x- and z-directions. [ans. to check εx = 0.000569] c) calculate the change in volume the plate will experience in mm3 .