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I hope it is appropriate to post my practical statement of a problem here, to seek physical knowledge. My main background is Computer Science.

The Problem:

I want to algorithmically determine the tire pressure of a car, using informations of the car's footprint and it's tire-load (half axle load).

Example:

The car's tire has a load of

[tex]F = 420 \cdot 9.81 N [/tex]

The tire's footprint length (in driving direction) is

[tex]L = 0.13 m[/tex]

The tire's footprint width (orthogonal to driving direction) is

[tex]W = 0.175 m[/tex]

Now i estimate the footprint area as

[tex]A = L \cdot W[/tex]

Then, the tire pressure in bar could be estimated by

[tex]p = \frac{F}{A\cdot 10^5} \approx 1.811 bar[/tex]

But the true pressure is much higher:

[tex]p_{true} = 2.30 bar[/tex]

I think footprint area is overestimated (too big), and F needs to be reduced by a value according to tire type and F, as the tire already carries some load due to its material.

What things are missing? Is there any function (e.g. f(tireType, N)) i could use as correction factor of this value?

Thanks to all of You in advance!