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For the elastic body defined in Question 1 (below), define the boundary conditions in terms of...

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Mechanical Engineering

For the elastic body defined in Question 1 (below), define theboundary conditions in terms of displacement, assuming the boundarysurface at the point in question has direction cosines with respectto x and y and z equal to l=0.8 and m=0.6 and n=0 . Consider thecase when the change in volume is negligible.

Are all the compatibility equations satisfied for the PlaneStress conditions? If not, which equations are not satisfied?Explain the case for the Plane Strain conditions?

Question 1:

Write down the equilibrium equations for a three-dimensionalisotropic material in terms of displacements. Assume that thematerial modulus of elasticity, Poisson ratio and density are, andthat the body forces are due to the material weigh and the constantgravitational accelerations applied in z-direction.

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