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peteroznewman
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A rectangular plate with a Fixed Support on the end face is not a real design, it is an idealization and simplification of a real design that is easy to analyze, but includes a singularity.

What is the real design? 

For a one piece part that is machined or cast, one real design is a base plate with mounting holes and a blend radius from the base plate to the integral cantilever arm. 

A different design might have a base part with tapped holes. A long flat plate with clearance holes goes on the base part and cantilevers off the edge. A short flat plate with clearance holes sits on top of the cantilever plate. Bolts clamp the long plate between the short plate and the base part. A detailed simulaton of these parts can create a model where the highest stress in the cantilever plate does not have a singularity.

Finally, you could have two fixed cylinders, one on the top side of the cantilever near one end and another one on the bottom side of the cantilever a short distance inward from the first cylinder. Use Frictional Contact between the cylinder and the cantilever plate. This method of support does not have a singularity.