Subject: Mechanical Engineering: Advanced Mechanics of Materials and Applied Elasticity

As shown in figure below, a thin prismatic bar of specific weighty, isotropic material,and constant cross section hangs in the vertical plane. Under the effect of its ownweight, the displacement field is described by:Y(2Xja - X] - vX2).=VYE(a - Xi)X22EThe out-of-plane stresses can be neglected (03; = 031 = 032 = 0).a) Find the strain and stress components in the bar;b) Check to see whether the boundary conditions are satisfied by the stresses found.X2ahX1-2n-