## shaft hertzian contact stress..?

Hello

I am trying to calculate contact stress for a shaft on a hole. The purpose of this calculation is to see if the diaphram on which the hole exists is thick enough to handle the shaft radial load. Easiest approximation would be to use a simple formula for bearing stress (stress = force / (t*d)), but more accurate approximation is required.

A formula for cylinder on a cylinder seems to be available from many different sources, but I can't find a formula for cylinder in a cylindrical hole. The closest thing I've come up with is from Roark's Formulas 7th Edition Ch.14.4 Table 14.1 Case 2.c "cylinder in a cylindrical socket", but this equation results in a zero denominator if the cylinder and hole diameters are equal.

Can anyone help me with this..?

Thanks
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 I might not quite get what you're saying, but if the cylinder and the hole have the same diameter why would the hole have any stress on it's inner diameter? Are you talking about a press fit of some sort?
 I guess I should've explained my question more clearly: a shaft is under radial load on one end, and is supported radially on the other end by a hole in a plate. I believe the plate will be under some contact stress, and it will fail if it is too thin..? The fit between the shaft and the hole is a close running fit.

## shaft hertzian contact stress..?

A picture would really help a lot.

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