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The analytical method assumed a long bar, therefore by definition, the stresses in the y direction are assumed to be zero. Since this bar does have width, the stresses in the y direction are symmetrical about the middle axis. Note that there are areas where sigma_y is negative. This is a consequence of deformation along the x-axis. Since no extra material is being added, stretching the bar in the x direction would cause a contraction of the bar in the y-direction, and therefore compressive stresses in the y direction.

Tau_xy:

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Von Mises:

Von Mises stress is used to predict yielding of the material. We can consider the maximum and minimum von mises stress as the critical design points. For example, in this case, we would want to reinforce the point where the load is applied to prevent reaching the tensile limit load of the material. 

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