Czech

5

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Institute of Structural Mechanics (STM)

Students will master the subject targets, it being the knowledge of the influence of moving loading on both statically determinate and indeterminate structures using influence lines, next determination of extremes, next influence of variable cross-section and analysis of thin-walled cross-sections (both opened and closed ones). He will master basic knowledge in the field of stability of frame structures and elasto-plastic analysis of structures consisting of bars.

fundamentals of the structure mechanics and the theory of elasticity and plasticity, fundamentals of the finite element method, infinitesimal calculus, matrix algebra, fundamentals of numerical mathematics

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Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.

1.The definition of the 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 diagrams and computation of the extreme values.
3.The kinematical method of solution. Solved example.
4.The influence lines of the deflection and static quantities of the static indeterminate bar structures. The process of the solution. The computer software.
5.Structures with bars of varying cross-section. Elastic and eccentric connection of bars within the frame structures.
6.The analysis of thin-walled bars. Free warping and warping torsion.
7.Sectorial characteristics and the shear centre of the thin-walled opened and closed cross-section shapes.
8.Analysis of the thin-walled sections of a opened cross-section. Basic assumptions and the fundamental equations.
9.Normal and shear stress in the warping analysis of the thin-walled sections. Differential equation of restrained warping torsion of opened cross-section shape.
10.Evaluation of the characteristic quantities of the warping. Application to the common types of the opened sections. Analysis of the thin-walled sections of a closed cross-section.
11.Linear stability of the frame structures. Euler’s critical force and the shapes of buckled structure.
12.Elasto-plastic analysis of a bar. The static law and the kinematical law.
13.The plastic limit load carrying capacity of a frame structure. Methods of the analysis. The failure limit states. The criteria of the failure for the materials with the same or various resistance in the tension and compression.

Not applicable.

Influence of moving loading on both statically determinate and indeterminate structures using influence lines, determination of extremes. Influence of variable cross-section. Analysis of thin-walled cross-sections (both opened and closed ones). Stability of frame structures. Elasto-plastic analysis of structures consisting of bars.

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

Not applicable.

Not applicable.

Robert D. Cook: Concepts and Applications of Finite Element Analysis. John Wiley ynd Sons, Inc., 1974. (EN)
Servít, R., Doležalová, E., Crha, M.: Teorie pružnosti a plasticity I. SNTL/ALFA Praha, 1981. (CS)
Bitnar, Z., Šejnoha J.: Numerical Methods in Structural Mechanics. Asce Press, Thomas Telford Pub., 1996. (EN)
Kadlčák, J., Kytýr, J.: Statika stavebních konstrukcí II. VUTIUM Brno, 2009. ISBN 978-80-214-3428-8. (CS)

Servít, R., Drahoňovský, Z., Šejnoha, J., Kufner, V.: Teorie pružnosti a plasticity II. SNTL/ALFA Praha, 1984. (CS)

26 hours, obligation not entered