Abstract
This article presents the results of numerical research on operational mechanical loads, carried out for the main structural elements of a cross-belt sorter: tracks and trolleys with trays. The goal of the research was to collect data required at the stage of designing new solutions of the sorters. A novelty is an analytical model that allows to determine the influence of the motion velocity of trolleys, frictional properties and mass of sorted objects on the forces transmitted from the trolleys to the track, the sorting efficiency and power required by the drive systems.