Czech

4

Not applicable.

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 girders, statically indeterminate trusses, influence of the temperature changes and shifts of the supports.

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.

Applications of the integral. Solutions of linear differential equations.

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 finished by abridged examination and final examination. For abridged exam the student should pass all written tests in exercises. The abridged exam is the necessary condition for final examination entrance. The final examination consists of written and oral parts. The written examination may contain both examples and the theoretical questions. The positive result in written examination allows the student to pass to oral part.

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.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. Simple built-in beam.
6.Continuous girder with solid cross-section, general formulation for Clapeyron’s theorem – force and deflection loading.
7.A bar with the haunches. Utilisation of the shape symmetry of the beam, decomposition of the arbitrary load, alternate supports.
8.The plane frame analysed by the force method. The selection of the statically indeterminate unknowns, canonical equations.
9.Utilisation of the shape symmetry of the frame. The influence of shifts of the supports.
10.The influence of the uniform and non-uniform temperature changes.
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

Not applicable.

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.

Not applicable.

Not applicable.

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

1. Organization of exercises. Repetition of internal forces to planar beams and planar beam systems.
2. The enumeration of the translations and rotations of the straight and broken girders by the method of unit forces. Vereschagin’s rule. The first test.
3. The degree of static indeterminacy. Solving the simple frame by the force method.
4. Solving the complex frame by the force method. The second test.
5. Continuous girder analysed by Clapeyron’s theorem.
6. The third test. Analysis of the statically indeterminate truss by the force method. Credits.