I am trying to predict elastic wheel deformation. I am not quite sure how to do it. How might one approach the problem? 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.