The diploma thesis deals with the problem of nonsymmetric bending of a straight composite beam. The theoretical part of the thesis deals with the pure bending and the nonsymmetric bending. The deflection equations were derived for both types of bending. For nonsymmetric bending, the result is obtained with the superposition of deformation in principal directions. In addition to this, the types of composite material and their characteristics are presented. The transformed-section method is presented and used in our calculations. In the computational part of the thesis, a three-layer composite made from two outer layers of carbon fibres and a layer of glass fibres in the middle was analysed. The calculations of the strain in critical points of the composite were calculated. The results were compared to calculations for a steel beam of the same dimensions. The findings show that deformations of a steel beam are smaller than that of a composite beam, but the advantage of the composite beam is in its mass, which is considerably smaller than the mass of the steel one. That is why the composite material is used everywhere, where a strong but as light as possible construction is needed, for example in aviation, sport equipment…
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