Czech

4

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Institute of Structural Mechanics (STM)

The student will learn the structural analysis of statically indeterminate bar structures by the force method, namely plane frames, planar bar systems, continuous girder, statically indeterminate trusses, including the effect of support relaxation and the temperature influence.

Linear algebra, fundaments of matrix calculus, solutions of systems of linear algebraic equations, vector calculus, analytic geometry, derivative of a function, the indefinite and definite integral, applications of the integral.

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1. Introduction to the static of structures. The division of the structures, fundamental assumptions of the analysis. Planar bar systems.
2. The virtual work of the internal and external forces, the Lagrange’s principle of the virtual work. The laws of virtual works correspondence.
3. Maxwell-Mohr’s integral. Simplifications of the calculation. The enumeration of the translations and rotations of the straight and broken girders by the method of unit forces. Vereschagin’s rule.
4. The evaluation of the translations of the truss girders by means of the unit forces method.
5. Methods of analysis of the static indeterminate structures. The evaluation of the degree of static indeterminacy. The force method.
6. The plane frame analysed by the force method. The selection of the statically indeterminate unknowns, canonical equations.
7. Utilisation of the shape symmetry of the frame. Decomposition of the arbitrary load, alternate supports.
8. The influence of shifts of the supports. The influence of the uniform and non-uniform temperature changes.
9. Continuous girder with solid cross-section, general formulation for Clapeyron’s theorem – force and deflection loading.
10. Simple built-in beam. Utilisation of the shape symmetry of the beam.
11. Plane frames solved by the force method.
12. The influence of the compression of the thrust line of the arc, the change of the temperature and the influence of shifting supports.
13. Statically indeterminate truss analysed by the force method

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Explanation the principle of virtual work and theorem of reciprocity of virtual work. The calculation of deformations by the method of unit forces.
Information about 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.

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

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Ferdinand P. Beer, E. Russell Johnston, Jr.: Mechanics of Materials. McGraw-Hill Book Company, 1981. (EN)
Bedford, Fowler: Statics engineering mechanics. Addison-Wesley Publishing Company, 1995. (EN)
KADLČÁK, Jaroslav a KYTÝR, Jiří: Statika stavebních konstrukcí II. Brno: VUTIUM, 2009. ISBN 978-80-214-3428-8. (CS)
Kadlčák, J. - Kytýr, J.: Statika stavebních konstrukcí I. VUTIUM Brno, 2010. ISBN 80-214-1204-6. (CS)

Harvančík, J. - Pekarovič, J.: Stavebná mechanika I. ALFA Bratislava, 1981. (SK)

13 hours, compulsory