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The table below displays the outputs of the ANSYS simulation for a mesh of 2 elements and a mesh of 10 elements.
Number of Elements Per Line Segment | Total Deformation (m) | 10 Element FEA | 0.0051352 | 4.6352x10^6 Maximum Bending Stress Pa |
---|---|---|---|---|
Theory Values | 0.005103 | 4.635x10^6 | ||
2 Element FEA | 0.0051352 | 4.6352x10^6 | ||
As one can see from the table above the results do not change as the mesh is refined. The reason that the results do not change is that they have already converged to the answer. The exact solution for the deformation is cubic and for this setup ANSYS uses element BEAM 188 which in turn uses cubic interpolation. Thus, for the simple cantilever beam setup the numerical method converges very quickly.