Czech

4

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Institute of Structural Mechanics (STM)

Student handle 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 elastic-plastic analysis of a bar. The plastic limit load carrying capacity of a frame structure. The failure limit 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.

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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 warping torsion of opened cross-section shape.
8. Evaluation of the characteristic quantities of the warping.
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 plastic limit load carrying capacity of a cross-section The plastic limit load carrying capacity of a frame structure.
13. The failure limit states.

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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 failure limit states.

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 Publishing Comp., Inc., 1995. (EN)
Bittnar, Z., Šejnoha, J.: Numerical Methods in Structural Mechanics. Asce Press, Thomas Telford Pub., 1996. (EN)

13 hours, compulsory