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Please note that the displacement throughout the bar is not uniform. There is no displacement at the end attached to the wall and the displacement increases until the maximum at the point load as we move along the bar.

Sigma_x:

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Note here that the stress in x direction is not constant as assumed in the analytical method. If we were to pick a section near the middle of the bar, our analytical result would be nearly accurate. The solution, however, no longer applies when considering the stresses at the wall on the top and bottom, and the stresses near the point load. Obviously, the stresses in the x-direction maximizes at the point load.

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