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The ANSYS results will be verified by comparing them to the results obtained using Euler-Bernoulli beam theory in the pre-analysis. The ANSYS simulation outputted 4.6352MPa for the maximum bending stress and the calculation in the pre-analysis yielded 4.635 MPa. The ANSYS simulation outputted 0.0051352m for the total deformation of the beam at x=4 while the calculation from the pre-analysis yielded 0.005103m. The ANSYS results very closely match the calculations from the pre-analysis, thus the simulation has been verified.

Mesh Refinement

Another, way to verify the solution of a numerical method is to examine the convergence of the solution as the mesh is refined. Generally, the numerical solution should converge to the exact solution as the mesh is refined. The table below displays the outputs of the ANSYS simulation for a mesh of 2 elements and a mesh of 10 elements.

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