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In this paper, we study the methods for calculating beams with skating in the lower belt of both the Ibeam and box sections. Based on the dependences presented in the existing methods, the stress-strain state of single-beam bridge cranes was calculated at the points of contact of the wheels of the hoist and beam belt, with a box section with rolling along the bottom. Box-section crane cranes have greater rigidity and stability compared to the I-beam section, in addition they allow you to increase the span without sacrificing the crane's lifting capacity. SolidWorks Simulation also performed a finite element analysis of the stress-strain state of boxsection beams with skating along the lower belt. The main advantage of the finite element method is the ability to split into finite elements areas of any shape and, thus, the ability to calculate the stress and strain fields in real details, taking into account all their design features, which ensures high accuracy of the calculation. On the basis of the results obtained, the dependences of stresses on the thickness of the lower girder beam, the position of the hoist wheels were studied, an approximating function was constructed, and a simpler engineering calculation method was proposed that allows one to reduce the number of calculations

The technical regulations of the Customs Union demands implementation of the risk analysis of the bridge cranes operation at their design stage. The statistical model has been developed for performance of random calculations of risks, allowing us to model possible operational influences on the bridge crane metal structure in their various combination. The statistical model is practically actualized in the software product automated calculation of risks of failure occurrence of bridge cranes.