Solid shaft compression - taper locks

[dan_68c]

Hi all,

I am trying to work out the stress on a shaft when a compressive force is placed on it such as a taper lock or press fit. I have looked at all the thin and thick wall section formulas and they seem ok. I am not sure what happens when the internal radius becomes 0 and its a solid shaft.
What is the maximum stress (hoop) allowable. For example surely steel can take more than say 250 mpa if it is a solid shaft being clamp.
What compression should a steel shaft be able to withstand,
Thanks all, too many hours scratching my head on this one.

 

[dan_68c]

Just to make things clear i am looking at a locking ring that applies 220mpa to the outside of the shaft, and using these equations even a shaft with a with 65 mm od and 1 mm ID it isn't strong enough but i know it would work.
Thanks all