Radial pressrue given lateral strain

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SUMMARY

The discussion focuses on calculating the radial pressure exerted by a cylindrical plug of plastic when press-fitted into a hole. The user references lateral strain, defined as (d_initial - d_final) / d_initial, and seeks to connect this to radial stress. They mention Young's modulus, which pertains to axial stress and strain, and Poisson's ratio, which relates lateral strain to axial strain. The goal is to determine the radial pressure necessary to achieve a specific change in diameter.

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  • Understanding of lateral strain and its calculation
  • Knowledge of Young's modulus and its application in stress analysis
  • Familiarity with Poisson's ratio and its significance in material deformation
  • Basic principles of radial stress in cylindrical structures
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  • Study the application of Poisson's ratio in determining axial strain from lateral strain
  • Explore methods for calculating radial pressure in press-fit applications
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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!
 
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