## How to calculate roller/wheel maximum load?

Dear all,

I would like to know how to calculate the maximum load that a roller/wheel can stand under set conditions. The roller/wheel works in a sliding door and it rolls along a stainless steel rail.

I think I have to use contact stresses equations and so on but after reading several books and forums about this topic I am a bit confuse as there are a lot of different equations to use to calculate the same thing.
Which is the most simple and more accurate equation to use?

I leave some random data to give you an idea for what I am looking for:

Roller/wheel material: polyacetal homopolymer, POM-H
Young modulus: 2800MPa
Poisson coef: 0.35
Yield strength: 79MPa
Dynamic friction coef: 0.3; static: 0.2

OD (outer diameter)= 30mm
ID (inner diameter) = 15mm
Width= 10mm

No T requirements.

I am not looking for the results; I am more interested in the equation and how to calculate.

Hope somebody can help me,

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 Tags contact force, hertz contact stress, hertzian stress, roller