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How to prevent surfaces from deflecting infinitely in a linear static analysis.

I am using a 2D mesh to simulate stresses in a rotating frame, with cross bracing.
The bracing components are constrained using "Mesh Independent Ties", they have thickness associated with them, and material properties of steel.
When I run the solver, the surfaces deflect uncontrollably causing the "Static Analysis Encountered Mechanisms" Error to appear.
Normal_Bracing.png
Deflected_Bracing
The simulation was working, and then I split some surfaces to create a denser surface mesh at critical locations (not near the problematic surfaces), and then the problem appeared.
 
I tried deleting the problematic surfaces, and recreated them, but this did not solve the problem. This has happened more than once now, and I would like to identify the problem, to avoid having to redo hours of preprocessing.