I am trying to predict elastic wheel deformation. I am not quite sure how to do it. How might one approach the problem?(adsbygoogle = window.adsbygoogle || []).push({});

Take a steel wheel: 6 in. diameter, 2 in. thick, with a contact force of 1000lbs

E = 30,000,000 psi

Poisson ratio: .27

Would one calculate this in finite layers? Considering sections at a time and applying shear modulus through the layers to find the finite stress of the steel?

I have seen the stress distribution of a steel wheel against a track, and it looked like a strait coulomb from the contact area to the axial. Can it be as simple as:

Contact pressure = (volume of wheel displaced/ volume of .5 the wheel cross section) * Poisson ratio * E

There are of course many effects not realized by such a simplistic view especially when one wants to find the conditions that will cause plastic deformation at the contact area; which is ultimately what I want to know.

The gears in my head have failed, the more I think about this problem the louder the grinding noises.

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# Predicting elastic and plastic wheel deformation

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