Students will be able to solve influence lines for statically determinate structures, calculate deflections and rotations of statically determinate beams using unit dummy force method and solve statically indeterminate planar beam structures by force method and direct stiffness method.

Linear algebra, fundamentals of matrix calculus, solutions of systems of linear algebraic equations, vector calculus, analytic geometry, derivative of a function, indefinite and definite integral, applications of the integral. Determination of reactions and internal forces of statically determinate plane beams and frames.

Methods of teaching depend on the type of course unit as specified in article 7 of the Study and Examination Rules of BUT. Education runs in the form of lectures and practical classes. The character of the lectures is based on the explanation of basic principles, problems and methodology. In the practical classes, selected main topics are practised using examples.

The course is finished by credit and final examination. The credit is a necessary condition for final examination entrance. To gain credit, the students should pass two control tests during the semester. The active presence in practical classes is checked. A written exam consists of the part, in which the example is elaborated, and the theoretical part. To pass the exam successfully, both parts should be accomplished.

1. Types of structures in civil engineering. Types of loads acting on a structure. Influence lines for statically determinate structures.
2. Principle of virtual work, Lagrange’s equations. Maxwell–Betti reciprocal work theorem. Maxwell–Mohr’s integral. Vereshchagin’s rule.
3. Deflections and rotations of statically determinate straight beams, frames and trusses – unit dummy force method.
4. Methods for analysis of statically indeterminate structures, degree of static and kinematic indeterminacy of structures. Principle of force method.
5. Three-moment equation method for continuous beam analysis. Force and deflection load. Utilisation of symmetry of beam shape.
6. Force method – statically indeterminate plane frames. Selection of statically indeterminate variables. Effect of temperature changes and support settlement.
7. Force method – statically indeterminate truss.
8. Principle of direct stiffness method. Computational model and degree of kinematic indeterminacy
9. General form of direct stiffness method – matrix form, analysis of straight beam with constant cross-section. Load vector and stiffness matrix.
10. Slope deflection method – end moments and forces. Analysis of continuous beam.
11. Slope deflection method – plane frame analysis.
12. Direct stiffness method – continuous beam analysis.
13. Direct stiffness method – plane frame analysis.

Students will be acquainted with influence lines for statically determinate structures. Principle of virtual work and its application to calculation of deflections and rotations of statically determinate beams (unit dummy force method) will be clarified. Students will learn how to solve statically indeterminate beam structures by force method and direct stiffness method. The solution of statically indeterminate structures will be performed on two-sided fixed beam, continuous beam, planar frame, and truss girder. The force load, the effect of temperature changes and the support settlement are considered.

The definition of monitored instruction and the method of its implementation is annually updated by the guarantor of the course.

• Programme BPC-APS Bachelor's 1 year of study, summer semester, compulsory