From the point of view of computational cost, theoretically higher FEM's are very promising. For the realization of the possible advantage in engineering practice it is necessary to predict computer time savings for typical structures. The thesis supplements information on this issue.The importance of obtaining results. It is established that the use: of FEM with the second order finite elements for the important class; of thin walled structures allows to reduce the computational time approximately in 5 times. Among numerical methods of engineering analysis, the finite element method is the most widely used. This method is able to reproduce with satisfactory accuracy stress and deformation states of rather complex engineering structures, made from different materials and exhibiting various specific mechanical properties. In this thesis, the stress/deformation state of beams was numerically analyzed with the use of finite elements of the first and the second accuracy orders. It was revealed, that the element of second order is more accurate and requires much less computer time for reaching the target accuracy of the numerical results at analysis of buildings structures.