Stress Concentration around a circular hole on a flat rectangular plate

[aidiot]

Can anyone help with how to find the analytical solution to problem involving finding the stress concentration around a circular hole in a flat plate.

The plate is has tensile load on both sides.

 

[FredGarvin]

That's a classic example that is in any Mechanics of Materials text. Have you done any searching? The calculation, assuming plane stress, is the regular stress due to the tensile load multiplied by a stress concentration factor, Kt. That value ranges up to 3.0 depending on the size of the hole.

Chart 4.1 in Peterson's Stress Concentration Factors gives an empirical formula for the Kt value.

 

[Gokul43201]

For a circular hole, I'd have imagined that Kt would be independent of the radius.

 

[FredGarvin]

Kt is dependent on hole diameter and the distance between the hole edge and the plate edge.

 

[Gokul43201]

Oh, I'm thinking of the limit where the hole diameter is small compared to the dimensions of the plate, and small compared to the distance from the nearest edge. If I was looking for an analytical solution to the DEs, I'd have started from that simplification.

 

[aidiot]

thanks for your help guys...

much appreciated