1 
We suggest that the resulting normal reaction of the soil N is axially sym- 
metrical for the area of contact -a < x < a. The hemispherical area of 
contact is determined from the condition, that the pressure on the operat- 
ing surface P(x) must be limiting everywhere, including the edge of this 
area [9], i.e. 
P=A a’, (1) 
; tiey 
where A = [én " (0) + £," (0)] = the coefficient, depending on the shape 
éy the compresséd body and the deformation properties of the soil, 
which is determined by the expression: 
2 (2) 
re 2 - 
v TE, Clore Ma) 
where M = the coefficient of lateral expansion of the soil. 
Substituting the value of A in equation [1] according to the compressing 
force we will determine the hemisphere area of contact -a: 
=F2PRy : (3) 
Where R = the radius of the roller. 
From Fig. 1 it is clear, that the ratio of the depth of rut h to the width 
of area of contact 2a is equal to the ratio of force of resistance to roll- 
ing of the roller P, to the compressing force P. 
[Translator's Note: equation missing in the original.] (4) 
Substituting the values of a and P in expression (4) we get the equation 
determining the value of parameter v characterizing the deformation proper- 
ties of the soil in the form: 
| - EEE: orn (5) 
v = Fe BcetaE Shoes 
