Radial pressrue given lateral strain

[mdergance3]

Imagine you have a cylindrical plug of plastic that you press fit into a hole. I need to determine the raidal pressure, radial stress, that the plug exerts on the wall of the cylinder.

Here is what I have so far.

Lateral Strain = (d_initial - d_final) / d_initial\

From what I understand the Young's modulus deals with axial stress and axial strain. I can use Possion's ratio to determine the axial strain given my lateral strain but I'm not sure how to go from this to radial stress.

Basically if I have a rod that changes diameters by x ammount, what radial pressure is required to do this.

Thanks for the help!

 

[mdergance3]

Can Somebody offer some help.