semi floating tree

[GA_]

Good evening,

I am designing a tree whose constraints are constituted left by a grooved profile to non-sliding evolving from which the couple enters and right by a ball bearing.
the ratio between primitive radius and grooved profile length is 1.3.
in static analysis, considering maybe a couple with game, can I consider the profile channeled as a hinge? or do I have to consider it necessarily as an incarceration?
Should I necessarily replace the grooved profile with a tooth joint to have an isostatic configuration?
thanks for the attention.

 

[GA_]

edit: the ratio is between primitive diameter and length.

ps: maybe it's too trivial, but nobody can help me solve this problem?

 

[meccanicamg]

actually serves:

- box.

- mating tolerances

- normally a groove has sleeve constraint and the ball bearing with a crown can do by hinge within very small fractions of angle
- someone will have to react but without information we do not know what