Calculations of the strained state of metal structures of machinery and equipment are an integral part of the theory of the basics and methods of construction of quarry excavators, including dredgers. The method of determining the forces acting on the bucket elements of the dredger at the bucket position, both in the stretch zone and in the self-unloading zone, was widely introduced. The results of the force calculation are used to analyze the strained condition of the bucket. The research was performed in the WinMachine APM system in the WinStructure3D module of the APM. According to the project ASH-40.85 for the bucket is a model of construction, which includes all bearing elements, which are considered by gravity, inertial and centrifugal forces from the rotating movement of the platform. The results of studies of the force and stress-strain condition of the bucket proved that, taking into account the gravity forces on the bucket during the scooping and in the transport position, the permissible voltage acts when using steel 35L. The results of the stress calculation show that there are sufficient strength reserves, calculations made when reducing the thickness of the bucket cheeks by 1 mm showed that, the strength condition in the sections is provided, The replacement of 36L steel with 110G13L steel increases the wear resistance of the bucket's cheeks.