The results of the research programme in the field of determining carrying capacity and endurance of machine elements and assemblies are included into the modern trends of research in this field of mechanical engineering. This research determines carrying capacity of structures based on real load state, non-linear strain-stress material response and damage mechanics of continuum. Contribution to the worldwide knowledge is in the following fields: 1. Modelling of load distributions in machine elements and structures. 2. Modelling of numerical description of non-linear strain-stress and material damage growth and thereby low-cycle lifetime of low-alloy steels. 3. Dimensioning of individual structures of a rotational connection (large dimension rolling bearing, bolt connection, gear pair, sealing gaskets) 4. Preparation of technical documentation of a rotational connection supported by an expert system. In the field of driving dynamics analysis and traffic accident modelling: 1. An interactive driving simulator that enables analysis of contacts between vehicles at low speed and thus vehicle operator training has been developed. 2. An upgrade of an existing driving surface measuring vehicle that enables generation of a 3D road surface geometrical model, usable in driving dynamics simulations, has been performed. 3. Geometrical models of human body segments, based upon CT scans, have been made for the purpose of occupant load analysis. 4. A procedure for human body joint parameter identification based on kinematic response of the body during impact has been developed. Based on the achieved results the research group has managed to incorporate into international research projects and establish cooperation with foreign research groups and institutions.