26 hod., optionally

1. The division of the structures, fundamental assumptions of the analysis. Statics of planar bar systems. The influence of the moving load on the statically determinate structures. 2. The virtual work of the internal and external forces, the Lagrange’s principle of the virtual work and the laws of virtual works correspondence. Mohr’s integral, simplifications of the calculation. Vereschagin’s rule. 3. The enumeration of the translations and rotations of the straight and broken girders by the method of unit forces. The evaluation of the translations of the truss girders by means of the unit forces method. 4. Methods of analysis of the static indeterminate structures. The evaluation of the degree of static indeterminacy. The principle of the force method. 5. Continuous girder analysed by Clapeyron’s theorem. Force and deflection loading, utilisation of the shape symmetry. 6. The plane frame analysed by the force method. The selection of the statically indeterminate unknowns, canonical equations. The influence of shifts of the supports and the influence of the uniform and non-uniform temperature changes. 7. Plane arch analysed by the force method. The influence of the compression of the arch thrust line. Statically indeterminate truss analysed by the force method. 8. The principles of the stiffness method and its variants. Calculation model and the number of degrees of freedom. Static conditions of the equilibrium, the parameters of the deflection, constrained nodes. The matrix formulation of the stiffness method. 9. The analysis of a straight bar with constant cross-section. Variously ending bars. Local quantities, the primary vector and the stiffness matrix. The modelling of a cantilever. 10. The geometrical transformation into the global coordinate system, the global matrix of a bar. The transformation at the rectangular frames. The analysis of a bar system, the versions of assemblage of the equation system, the code number and the localization. Some particularities in the analysis of the rectangular frames and continuous girders. 11. The analysis of bars – the solution of the bar actions, the diagrams of the components of the internal forces. The solution of the reactions, the check of the equilibrium – in the nodes and for the whole structure. Errors produced in the solution of the frames by the stiffness method. 12. Bars with haunts, temperature changes, shifts of the supports. A truss girder solved by the stiffness method. The combinations of the loading cases, the extremes. The analysis of the spatial frames by the stiffness method. 13. Other problems and methods of the structural mechanics. Plane strain and plane stress problems, plates, shells. Examination of the response of structures subjected to excitation. Information about software products.