Determine the Cartesian stresses and displacements in a rectangular domain (a x a; by b )

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Determine the Cartesian stresses and displacements in a rectangular domain (–a≤ x≤ a; – b≤y≤ bfrom the potentials γ (z) = Aiz2,Ψ(z) =–Aiz2, where A is an arbitrary constant. Discuss the boundary values of these stresses, and show that this particular case could be used to solve a pure bending problem.


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