Mechanics of structures

Syllabus of lectures - themes:
1. Description and properties of building structures. Introduction to structural mechanics. System of forces and equilibrium conditions. Idealization and classification of building structures. Kinematics of building structures. Inner and outer supports. Ensuring the immobility of the building structure. Choosing a suitable static system.
2. Calculation of the reactions and internal forces of the straight beam and frames. Statically determinate beams system. Static analysis of selected statically determined supporting structures.
3. – 4. Introduction to building materials mechanics. Basics of stress analysis and structural strain. Simple and compound stresses. Composite beams.
5. – 6. Introduction to statically indeterminate beam structures. Method of unit forces. Force and stiffness method. Method of three moment equations.
7. Standard regulations. Methods of designing building structures. Method of limit states. The principle of designing and assessing the reliability of building structures according to the current Eurocodes.
8. Loads of building structures.
9. Interaction of the supporting structure with the subsoil.
10. – 11. Mathematical modeling of structural structures. Geometry of the structure. Idealization of the real load-bearing structure in the computational model. Overview of used software systems and their use for internal forces calculation and dimensioning. Risks of using computational programs. Assessing the correctness of the calculation model against the real building structure.
12. Reconstruction of building structures in terms of supporting system. Installation and disassembly of the load-bearing structure. Construction and demolition procedure with regard to static behavior in the supporting system. Dilatation of the support system. Typical structural details in the load-bearing structure.
13. Probability assessment of the reliability of the load-bearing structures. Random variable. Probability of failure. Differentiation of design reliability according to Eurocodes. Overview of probability methods and examples of their use.

Syllabus of practice exercises:
1. Calculation of reactions in case of externally statically determined beam structure.
2. Calculation of internal forces in straight beams and frames.
3. Calculation of internal forces in statically determinate beams systems.
4. Stress analysis of selected beam elements.
5. Calculation of statically indeterminate frame by force method.
6. – 7. Calculation of statically indeterminate frame by simplified and general stiffness method.
8. Dimensioning of simple beam elements according to the current Eurocodes.
9. Calculation of loads for typical examples of building structures.
10. – 12. Calculation of internal forces and strains in selected building structures using the used software systems.
13. Probabilistic reliability assessment for a simple building structure.

Examples with individual input:
1. Calculation of internal forces in simple statically determinate beam structure.
2. Design and assessment of selected building structure according to current Eurocodes.
3. Static calculation of selected building structure using the used software.