Czech

Not applicable.

Institute of Structural Mechanics (STM)

The students will be able to solve reactions and internal forces of the plane statically determinate structures, to design centroid and second order moments of gross-section, solve simple and compound stresses to and compute strain in a section, to find materials and dimensions, to calculate deformation within bend.

The basic secondary school knowledge from mathematics and physics are request.

Not applicable.

Not applicable.

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

1. Tasks of structural mechanics, basic conceptions, presumptions, principles and axioms. Plane and space systems of forces. Equilibrium and equivalence.
2. Basic types of statically determinate beams. Calculation model of planar beam, load actions, supports. Static and kinematical definiteness, noncorect cases of supporting.
3. Calculation of support reactions. Components of internal forces, differential equilibrium conditions, internal forces diagrams. Solution of basic types of planar beams – simply supported beam and cantilever.
4. Straight beams with overhangs, the slant and broken beam. Planar composed systems. Curved beam – arch.
5.Cross-section characteristics of the planar figures. Steiner’s theorem, extreme values of 2nd order moments. Radius and ellipse of 2nd order moments of cross-section.
6.Planar trusses. Calculation model, static definiteness, noncorect cases. Method of joints and method of sections.
7. Space member. Supports and reaction, internal forces. Broken member in the space.
8.Basic principles of the theory of elasticity. Deflection, strain, stress. Linear behaviour, material laws, working diagram. The relation between internal forces and the stresses. Simple tension – stress, strain, deflection.
9. More general cases of the tension (compression). Statically indeterminate cases. The influence of the initial stress and the temperature field. Simple shear, the connections strained by shearing. Simple bending. Normal stress produced by bending. Design and check of bent girders.
10. The deflection of the bent bars. The differential equation of the deformation line. The methods of solution of the deformation line.
11. Shearing stress in a bent beam. The centre of the shear. Shearing stress in the thin-walled girders. The influence of the shear on the deflection of the beam.
12. Free warping of a massive and thin-walled opened and closed cross-section beams. Complex cases of the load of the beam. Spatial and biaxial bending. Tension (compression) and uniaxial bending.
13. Eccentric tension and compression, the position of the neutral axis, the core of the section. Design of the girders in a case of the complex load. Buckling strengths and the stability of the compressed bars. The check of the buckling bars. The principal stress.

Not applicable.

The students will be acquainting with reactions and internal forces of the plane static determinate structures, centroid and second order moments of cross-section. They also will be acquainting with basic principles of the theory of elasticity, as stress, strain, deformations and with dimensioning of structures.

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

Not applicable.

Not applicable.

KADLČÁK, Jaroslav a KYTÝR, Jiří: Statika stavebních konstrukcí I.. Brno: VUTIUM, 2010. ISBN 978-80-214-3419-6. (CS)
Šmiřák, S.: Pružnost a plasticita I. PC-DIR, Brno, 1995. (CS)

Not applicable.