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...

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
σ
_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,
σ
_x,
E, and
v.