The cylindrical bar consists of a material with modulus of elasticity E and Poisson’s ratio v and is

The cylindrical bar consists of a material with modulus of
elasticity E and Poisson’s ratio v and is subjected to axial
loads. The resulting state of stress is

(a) Determine the state of strain in terms of _x,
E, and v. (b) The length of the unloaded bar is L and its
cross-sectional area is A. Determine the volume of the loaded bar in
terms of L, A, _x, E, and v.