5. A rectangular bar is loaded on its top and bottom surfaces as shown below, with...

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5. A rectangular bar is loaded on its top and bottom surfaces as shown below, with the lateral surfaces being traction free. a) Find the boundary conditions for all six surfaces of the bar (i.e. the conditions that the stress components must satisfy on those surfaces), considering the applied force P as known. b) Assume that the stresses applied on the boundaries are also the complete solution for the internal stress state. Show that equilibrium is satisfied, assuming no body forces. c) With this stress state, find the resulting traction on the internal imaginary cylindrical cut. P -P cylindrical surface b a 82 a 5. A rectangular bar is loaded on its top and bottom surfaces as shown below, with the lateral surfaces being traction free. a) Find the boundary conditions for all six surfaces of the bar (i.e. the conditions that the stress components must satisfy on those surfaces), considering the applied force P as known. b) Assume that the stresses applied on the boundaries are also the complete solution for the internal stress state. Show that equilibrium is satisfied, assuming no body forces. c) With this stress state, find the resulting traction on the internal imaginary cylindrical cut. P -P cylindrical surface b a 82 a