Analyzing Support Conditions for Tables/Tripods

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SUMMARY

The discussion focuses on the appropriate support conditions for static analysis of tables or tripods under vertical forces. It emphasizes that designating the base as "fixed" is inaccurate, as it implies the legs are permanently attached to the ground. Instead, a more accurate approach involves fixing one leg completely while allowing the other legs to move vertically but remain free in other directions. This method prevents the global stiffness matrix from becoming singular and accurately represents real-world conditions, akin to a table on a frictionless surface.

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gomerpyle
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If I am doing a simple, static analysis on something like a table, or tripod with a vertical force acting on it, what support condition do I assign to the base at which the legs contact the ground? I feel like it is incorrect to specify this as "fixed," since that would be like saying the legs are bolted/welded to the ground and not truly representative of the system. All of the simulation tutorials with tables that I can find just assume the base is fixed.
 
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Try this: one leg is completely "fixed" (presumably you are dealing with a plate-and-rods model, so each node has six degrees of freedom), the other legs are not allowed to move in the vertical direction, but free to move otherwise. That's the simplest approach that would ensure that the model is not a mechanism (the latter case would lead to the global stiffness matrix becoming singular). Well, it would be something like the table standing on ice (no friction between the remaining three legs and the floor), but still, that would deliver a solution.
 

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