Tireprint size and load on tire. Assuming a uniform upward pressure p under the tire that is carrying a load Fz, pAP = p (2a × 2b) = Fz (a) determine the half length of the tireprint, a, as a function...

Tireprint size and load on tire.

Assuming a uniform upward pressure p under the tire that is carrying a load Fz,

pAP = p (2a × 2b) = Fz

(a) determine the half length of the tireprint, a, as a function of

pressure p.

(b) determine the loaded height Rh as a function of a, and eventually as a function of Fz.

(c) determine the vertical stiffness of a tire based on the curve of Fz versus Rh.

(d) determine the effective rolling radius Rw as a function of tire load Fz.