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Subject Mechanical Engineering Advanced Mechanics Of Materials And Applied Elasticity

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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 own
weight, the displacement field is described by:
Y
(2Xja – X] – vX2).
=
VY
E
(a – Xi)X2
2E
The 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.
X2
a
h
X1
-2n-Mechanical Engineering