Uniform Lateral Pressure on a bar.

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uncletom1337
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Hey all, been struggling through this question all afternoon, was wondering if someone could shine some light on the subject please?

QUESTION:
If a uniform lateral pressure of 80MN/m (2), is applied to the four sides of the bar, in addition to the axial load, find the contraction on the 200mm gauge length and the change in thickness.



Can someone point me in the right direction please? I have worked out the original volume of the bar, the change in volume after the axial load has been applied. the modulus of elasticity and poissons ratio.

Anything else can be added after reply.

Appreciated and thanks for taking the time to have a read.
 
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This problem is solved using the 3D version of Hooke's stress strain law, involving modulus of elasticity and Poisson's ratio.