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Results:

Again, it must be stressed that the mesh, geometry, boundary conditions and solver steps have been skipped in this exercise. You are instead given the solutions to the aforementioned problem simulated by ANSYS workbench. You are encouraged to explore these results and understand the different underlying assumptions of the analytical 1D Boundary Value Problem compared to the ANSYS 2D Boundary Value Problem. As you will see, the analytical approach can successfully account for the stresses in the middle of the bar, but fails to accurately model stresses at the point load and end effects.

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Mesh:

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Results:

Before we explore the ANSYS results, let's take a peek at the mesh.

Mesh:

Click on Mesh (above Solution) in the tree outline.This shows Image Removed
The figure above depicts the mesh used to generate the results you see belowANSYS solution. The domain is rectangle. Please note that although this problem has been solved using discrete elements, it is not uniformly discretizeda rectangle. This domain is discretized into a number of small "elements". For each element, ANSYS approximates how the structure responds to the forces acting on the element. A finer mesh is used in areas of predicted greater stress concentration. We want to be able to accurately simulate the end effects of the bar.have checked that the solution presented  to you is reasonably independent of the mesh.
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Displacement:

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.

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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 design our beam with reference to the area around the point load to prevent reaching limit load of the material anywhere on the bar.

and understand the different underlying assumptions of the analytical 1D Boundary Value Problem compared to the ANSYS 2D Boundary Value Problem. As you will see, the analytical approach can successfully account for the stresses in the middle of the bar, but fails to accurately model stresses at the point load and end effects.

Go To Homework Exercise 

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