How Do You Calculate the Maximum Bolt Angle Through a Flanged Hole?

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MJCfromCT
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I have a flange of known thickness, with a bolt hole of a known diameter through it. I am trying to calculate the maximum angle off from the centerline through the bolt hole that the bolt will be able to pass ( I know the max diameter of the bolt as well ). Is there a formula for this, given that I know the flange thickness, bolt hole diameter, and bolt diameter? Thanks in advance.
 
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I would just draw a picture.
You have a striaght hole of known width and depth, a straight bolt of known width.
The angle should come out easily - probably more easily than describing the question.
 
Thanks. Yeah, as soon after I posted this, I drew it out and it became a lot clearer :)