Czech

3

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Institute of Structural Mechanics (STM)

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 failure limit states. Introduction to solving basic equation of stress analysis and introduction to basics of fracture mechanics with respect to typical structural materials.

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; basics of theory of elasticity – stress, principal stress, deformation, strain, Hooke law, the principal stress at the plane stress problem.

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1. The analysis of thin-walled bars. Cross-section characteristics and the shear centre. Solution of the thin-walled bars with opened cross-section. Normal and shear stress.
2. Differential equation of restrained torsion of opened cross-section shape. Evaluation of the characteristic quantities of the torsion.
3. Analysis of the thin-walled sections of a closed cross-section.
4. Linear stability of the frame structures. Euler’s critical force and the shapes of buckled structure.
5. Elasto-plastic analysis of a bar. The basis of a limit state analysis.
6. The plastic limit load carrying capacity of a cross-section The plastic limit load carrying capacity of a frame structure.
7. The failure limit states.
8. Plane stress analysis.
9. Application of Airy stress function to solving of basic equations of linear stress analysis, approximate methods.
10. Fracture mechanics – introduction, linear elastic fracture mechanics.
11. Non-linear fracture mechanics. Approximate methods of non-linear fracture.
12. Fracture parameters – methods od determination. Brittleness, size effect.
13. Using of finite element methods in solution of fracture mechanics problems; application to structural materials: plain/reinforced concrete, high strength/performance concrete, ceramics, metals.

Not applicable.

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 failure limit states. Introduction to solving basic equation of stress analysis and introduction to basics of fracture mechanics with respect to typical structural materials.

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

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Kadlčák, J., Kytýr, J.: Statika stavebních konstrukcí II. VUTIUM Brno, 2009. ISBN 978-80-214-3428-8. (CS)
Kadlčák, J., Kytýr, J.: Statika stavebních konstrukcí I. VUTIUM Brno, 2010. ISBN 978-80-214-3419-6. (CS)

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)
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)

13 hours, compulsory