This work presents some aspects related to the designing of a roller for stands that are intended to determine the parameters of the transmission of a vehicle, such as braking force, wheel revolutions, etc. The computational scheme of simply supported beam is used to create an analytical mechanical-mathematical model through which a multicriteria optimization problem has been solved. A finite element macro and submodel of the roller has been created, and by using the R1MS technique, the fatigue strength in the welding seams in the roller has also been determined. A parametric analysis is accomplished to determine the influence of the thickness of the base steel and the covering ebonite layer on the perimeter change of the outer surface, taking into account the physical non-linearity of the outer layer.
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