Czech

Not applicable.

Institute of Structural Mechanics (STM)

Students handle basics of the structural analysis of solution of plane trusses of loading mobile load. Evaluation of the influence lines and determination of its extremes. Structures with bars of varying cross-section. Elastic and eccentric connection of bars within the frame structures. The analysis of linear stability of the frame structures, Euler’s critical force and the shapes of buckled structure. The principle of solution of the thin-walled bars with opened cross-section, equation of restrained warping torsion of opened cross-section shape. Introduction to the elastic-plastic analysis of a bar. The plastic limit load carrying capacity of a frame structure. The limit failure states.

Structural analysis of axial forces in statically determinate trusses, simple built-in beam, plane frame; the principle of virtual work and theorem of reciprocity of virtual work, the calculation of deformations by the method of unit forces; the force method of structural analysis of statically indeterminate plane frames, planar bar systems, continuous girder, including the effect of support relaxation and the temperature influence; basic cases and complex cases of the load of the beam, design of the beams in the case of the composed (complex) load; the stability and the bucking strength of the compressed bars, Euler’s solution, the critical force and the critical stress, the theory of the material strength and failure, the stress and strain state in a point of the body, the principal stress at the planar stress problem.

Force and deformation methods for solving statically indeterminate beams, frames.

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations. Methods of teaching are lectures and exercises. Individual consultations complement teaching. Study activities of students includes entering his own independent work. Attendance at lectures is recommended. Participation in other classes is required and controlled.

The subject is completed by credit and final examination. For credit the student should pass all written tests in selected exercises. The credit is the necessary condition for final examination entrance. The final examination consists of written and oral parts. The written examination part includes both examples and theory. The positive result in written examination allows the student to pass to oral part.

1. Moving load. Influence lines of the deflection and static quantities of the static determinate structures.
2. Evaluation of the influence lines and determination of its extremes. The kinematical method of solution.
3. The influence lines of the deflection and static quantities of the static indeterminate bar structures.
4. Structures with bars of varying cross-section.Elastic and eccentric connection of bars within the frame structures.
5. The analysis of thin-walled bars. Cross-section characteristics and the shear centre.
6. Solution of the thin-walled bars with opened cross-section. Normal and shear stress.
7. Differential equation of restrained torsion of opened cross-section shape.
8. Evaluation of the characteristic quantities of the torsion.
9. Analysis of the thin-walled sections of a closed cross-section.
10. Linear stability of the frame structures. Euler’s critical force and the shapes of buckled structure.
11. Elasto-plastic analysis of a bar. The basis of a limit state analysis.
12. The limit plastic load carrying capacity of a cross-section.The limit plastic load carrying capacity of a frame structure.
13. The limit failure states.

Not applicable.

Introduction to the structural analysis of solution of plane trusses of loading mobile load. Evaluation of the influence lines and determination of its extremes.
Structures with bars of varying cross-section. Elastic and eccentric connection of bars within the frame structures. The analysis of linear stability of the frame structures, Euler’s critical force and the shapes of buckled structure.
The principle of solution of the thin-walled bars with opened cross-section, equation of restrained warping torsion of opened cross-section shape.
Introduction to the elasto-plastic analysis of a bar. The plastic limit load carrying capacity of a frame structure. The limit failure states.

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Not applicable.

Not applicable.

Kadlčák, J., Kytýr, J.: Statika stavebních konstrukcí I. Brno: VUTIUM, 2010. ISBN 978-80-214-3419-6. (CS)
Kadlčák, J., Kytýr, J.: Statika stavebních konstrukcí II. Brno: VUTIUM, 2001. ISBN 978-80-214-3428-8. (CS)

Bedford, A., Fowler, W. L.: Statics - Engineering Mechanics. Addison-Wesley Publisnihg Comp., Inc., 1995. (EN)
Bittnar, Z., Šejnoha, J.: Numerical Methods in Structural Mechanics. Asce Press, Thomas Telford Pub., 1996. (EN)
Servít, R., Doležalová, E., Crha, M.: Teorie pružnosti a plasticity I. SNTL/ALFA Praha, 1981. (CS)
Servít, R., Drahoňovský, Z., Šejnoha, J., Kufner, V.: Teorie pružnosti a plasticity II. STNL/ALFA Praha, 1984. (CS)