The design of rolling bearing assemblies, e.g.: shaft bearings, calls for specialized engineering knowledge. The problem requires synthetic knowledge on machine design and construction as well as  bearing manufacturer specifications. Mounting bearings on shafts and in housings requires correct dimensional deviation. The actual condition of the roller surface of the external shaft pin and the external housing has a material influence on the working efficiency and durability of the bearing. The development of examination tools to determine the stress condition of pin/housing as well as bearing rings  after installation is of great importance, as well as determining shape faults of specific type and deviations of particular value. The paper presents numerical analyses which allow to determine the state of stress in the contact area of the assembly components: pin/housing-bearing rings. The study was performed for selected shape faults, selected bearings and specific deviation values.