Czech

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Institute of Structural Mechanics (STM)

The student will learn the structural analysis of the statically indeterminate planar bar systems by the stiffness method, namely plane frames and plane trusses, including the temperature effects and shifts of the supports.

Structural analysis of axial forces in statically determinate trusses, simple built-in beams, plane frames. Explanation the principle of virtual work and theorem of reciprocity of virtual work. The enumeration of the translations and rotations of the straight and broken girders by the method of unit forces. The solution of planar bar systems by the force method.

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1. Moving load. Influence lines of static quantities of statically dependent bar structures.
2. Kinematic method of solution. Evaluation of the influence lines and determination of the extremes. Criteria.
3. The principles of the stiffness method, its origin and its development, the variants of this method. Calculation model and the number of degrees of freedom.
4. Static conditions of the equilibrium, the parameters of the deflection, constrained nodes. The matrix formulation of the stiffness method.
5. The analysis of a straight bar with changing cross-section. Variously ending bars. Local quantities, the primary vector and the stiffness matrix. The modelling of a cantilever.
6. A bar with a constant cross-section, fundamental deflection coefficients. The assembling of the primary vector based upon the end forces of a bar.
7. The geometrical transformation into the global coordinate system, the global matrix of a bar. The transformation at the rectangular frames.
8. The analysis of a bar system, the assemblage of the system of equations, the code number and the localization.
9. The analysis of bars – the calculation of components of the internal forces, the diagrams of the normal, shearing forces and the bending moments.
10. The solution of the reactions, the check of the equilibrium –in the nodes and for the whole structure. Errors produced in the solution of the frames by the stiffness method.
11. Another version of the assemblage of the system of equations. Some particularities in the analysis of the rectangular frames and continuous girders.
12. The analysis of the spatial frames by the stiffness method. Temperature changes, shifts of the supports.
13. A truss girder solved by the stiffness method. Slope and deflection method.

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Introduction to the stiffness Method for analysis of the statically indeterminate of planar bar systems. Simplification to the stiffness method and deflection method for analysis of planar bar systems, plane trusses. Influence of the beam haunch.

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

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Antony Bedford, Wallace L. Fowler: Statics - Engineering Mechanics. Addison-Wesley Publishing Company, Inc., 1995. (EN)
KADLČÁK, J. - KYTÝR, J.: Statika stavebních konstrukcí I. VUTIUM Brno, 2010. ISBN 80-214-1204-6. (CS)
KADLČÁK, Jaroslav a KYTÝR, Jiří: Statika stavebních konstrukcí II. Brno: VUTIUM, 2009. ISBN 978-80-214-3428-8. (CS)
Zdeněk Bittnar, Jiří Šejnoha: Numerical Methods in Structural Mechanics. Asce Press, Thomas Telford, 1996. (EN)

Sobota, J.: Statika stavebných konštrukcií 2. ALFA Bratislava, 1991. (SK)