During the house renovation and the interior decoration in the bedroom, the idea of a bed without vertical supports (legs) came up. Considering that each bed on market in its own standard version has some type of floor support in the form of supporting legs or surfaces, the question was is that even possible? The loads and stresses that occur while using the bed should be taken into account in order to guarantee the safety and user comfort. Right that topic is covered in this thesis, so the first part of the thesis describes the activities in the mechanical design process that make up each product development, and each of these activities is elaborated in detail, according to the steps that must be performed within each activity. Since every optimization process is an integral part of this work, the theoretical basis of optimization is described. The finite element method was chosen as the formulation of the optimization, so there is described the basics of problem solving using the FEM method with detailed steps, and the advantages and disadvantages of the same method. The second part in this thesis deals with the development of a computer-based CAD model of a cantilever bed, as a selected solution of a bed without vertical supports. The model was created in SolidWorks and describes the main features of the model, the semi-finished products which was used and which material was selected. The main part in this thesis analyzes the stresses and displacements due to the load on the loadbearing structure as a key part of the cantilever bed. The analysis was performed in ANSYS Workbench. Based on the static analysis, optimization of the load-bearing structure was done through ANSYS DesignXplorer, and the results of the optimization were the initial data for the production of the cantilever bed. The final part in this thesis describes the production of a cantilever bed, as a solution from the optimization process.