26 hod., optionally

1. Meaning of statics, fundamental assumptions of solution. Virtual work of internal and external forces. Lagrange’s principle of virtual works. Theorem about virtual works reciprocity. Maxwell-Mohr theorem, simplification of calculation. 2. Determination of displacement and rotation of straight and cranked beams using unit dummy force method. Veresčagin’s rule. Influence of temperature changes on deformation of beam. Calculation of deflection of truss girders. 3. Methods of solution of statically indeterminate frame structures. Assessment of static indeterminacy. Interpretation of force method. 4. Elementary statically indeterminate straight beam, effect of uniaxial loading. 5. Continuous beam, general form of three-moment equation for force and deflection load. Diagrams of internal forces. 6. Planar frame solved by force method. Selection of statically indeterminate variables, canonical equations. Effect of uniform and non-uniform temperature changes. Influence support settlement. 7. Principle of slope deflection method. Computational mode and degree of kinematic indeterminacy. 8. General slope deflection method for planar frame structures. Equilibrium conditions, parameters of deflection, bounded nodes. Scalar and matrix form. 9. Analysis of straight beam with constant cross-section: primary and secondary state. 10. Local variables, primary vector and the stiffness matrix. Beam connected by hinges, cantilever. 11. Geometric transformation, global matrix of a beam. Analysis of the frame system, compilation of the system of equations, code number and localization. 12. Completion of solution of beams – calculation of internal forces and deflections of beams. Determination of reactions and validation. Errors during the solution of frames by using slope deflection method. Another variant for assembly of equations. 13. Speciality of solution of rectangular frames and continuous girders. Temperature influences, support settlement. Truss girder solved by slope deflection method.