As shown in Fig. P2.52, a thin prismatical bar of specific weight γ and constant cross s...

As shown in Fig. P2.52, a thin prismatical bar of specific weight γ and constant cross section hangs in the vertical plane. Under the effect of its own weight, the displacement field is described by 

The z displacement and stresses may be neglected. Find the strain and stress components in the bar. Check to see whether the boundary conditions [Eq. (1.48)] are satisfied by the stresses found.