The master's thesis presents the optimal design of the bicycle crank, which is one of its key and most stressed parts. For this reason, its design, in combination with the desire for the smallest possible final mass, is an interesting and relevant challenge. The first part presents a review of the literature with an emphasis on research in the field of topological optimization. Graphs of the forces acting on the crank depending on the angle of rotation of the crank and the requirements of the standards that the cranks must meet are also shown. On the basis of the obtained data, the forces were determined, which were subsequently used in the execution of simulations and topological optimizations. The shape and dimensions of the initial optimization volume were determined based on the dimensions of the existing cranks. Initial strength analyses were made, on the basis of which topological optimization was subsequently carried out. A new 3D model was created from the shape obtained by topological optimization, which also takes into account the basic technological and aesthetic requirements. It was tested for stress-strain states with the load cases specified in the standard, and compared with high-quality cranks available on the market.
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