How can I calculate the radial squeezing force of a snap ring or retaining ring? I've done some searching, but I can only find info on dimensions and thrust loads.
Since it's a spring, I'm assuming there's a formula to calculate the force.
Associated Spring - Barnes (SPEC) Design Handbook -Engineering Guide To Spring Design 1987 edition page 66 gives the required formulas for constant cross section area (of the wire/strip) retaining rings. If you are referring to standard retaining rings with a variable cross section area where in the middle it is the thickest you will probably need Finite Element Analysis.
It is not just a formula. There are some graphs to select stress correction factors too. This is a few pages chapter with examples and things to consider when you design a retaining rings. Try your local university or old book sellers. I have older version of the handbook even from 1948, 1950 and 1951 and they include the same chaper.
Why do you need to calculate the squeeze? It is very rare to have a snap ring that is actually an interference fit on its shaft, that's not what they are used for.
Question to desertfox or anyone else who would like to answer:
In desertfox's supplied equations, the only material property considered is the modulus of elasticity, which is constant for steel. Why isn't the tensile strength of the steel a factor? Wouldn't a higher strength steel make for a stronger spring?
The stress in the ring need to be calculated due to the deflection and compared to the yield/tensile strength. A weak steel will yield and will have a permanent set under the force. A strong steel will hold and maintain the load without permanent set. The load will be the same because it depends only on the modulus of elasticity and the deflection.
M/I=E/R=s/y should cover it. R is the extra bend due to M, not the geometrical shape of the ring. You'll need to integrate along the circumference of the snap ring, depending on the loading condition. I think your design approximates to a pair of opposing tangential forces, pretty much, so the bending moment diagram is fairly straightforward.
Cheers
Greg Locock
SIGlease see FAQ731-376 for tips on how to make the best use of Eng-Tips.