The main subject of work is a concept bike featuring a non-standard construction. The classic frame has been replaced with a straight beam. Consequently, there is a much greater stress on some of the components of the bike body. Furthermore, the construction of these body components becomes more complex which calls for the employment of the numerical method of stress calculation. The work involved carrying out a strength analysis for several selected components of the bike body utilizing the finite element method (FEM). The primary object of analysis was the wheel rotation mechanism. The result of the analysis allows to develop an optimized construction, allowing to select the most suitable materials and to determine the appropriate and compact dimensions.