Course detail

# Selected Chapters of Concrete Structures 1 (KON)

Static analysis, plasticity method, lower-bound theorem, upper-bound theorem. Truss analogy, material properties, application for reinforcement design of structures and details. Analysis of beams loaded in shear, variable angle truss model, interaction of internal forces. Compression field theory. Physical principles of creep, shrinkage and ageing of concrete drying up of concrete, solution of state of stress from temperature load, principles of linearity and superposition. Creep models – assumptions, mathematical functions, properties. Integral and differential equations, affinity of creep, stress history. Non-homogeneity of structures. Force method for creep analysis. Structural analysis of step-by-step constructed structures. The influence of prestressing, step-by-step construction, and rheological effects on structures. Simplified and numerical methods for creep analysis and their combination by FEM. Design of concrete structures for fatigue.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Department

Institute of Concrete and Masonry Structures (BZK)

Entry knowledge

structural mechanics, numerical methods, concrete structures, prestressed concrete

Rules for evaluation and completion of the course

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

Aims

Understanding of the principle of concrete plasticity and its application in design of concrete structures.
To provide the students with the modern methods of design of the members loaded in shear and torsion, optionally in interaction with other components of internal forces.
Understanding of the principles of rheological effects of concrete and mastering the methods for analysis of these effects on structures.
Understanding of the methods for analysis of long-term effects of concrete and composite structures in view of the rheological properties of concrete.
A student gains these knowledge and skills:
• Understanding of the principles of concrete plasticity and its application in concrete structures design.
• Knowledge of the modern methods of design of the members stressed by shear and torsion, optionally in interaction with others types of internal forces.
• Understanding of the principles of rheological effects of concrete and mastering the methods for analysis of these effects on constructions.
• Understanding of the methods for analysis of long-term effects of concrete and composite structures in view of the rheological properties of concrete.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

NAVRÁTIL, Jaroslav. Předpjaté betonové konstrukce. Brno: CERM, 2008. ISBN 978-80-7204-561-7. (CS)
ŠMERDA, Zdeněk a KŘÍSTEK, Vladimír. Dotvarování a smršťování betonových prvků a konstrukcí. Praha: SNTL, 1978. (CS)
HSU, Tomas. T. C. a MO, Y. L. Unified Theory of Concrete Structures. Chichester, UK: John Wiley & Sons, 2010. ISBN: 978-0-470-68874-8. (EN)

Recommended literature

KOHOUTKOVÁ, Alena, PROCHÁZKA, Jaroslav a ŠMEJKAL, Jiří. Modelování a vyztužování betonových prvků. Lokální modely železobetonových konstrukcí. Praha: ČVUT, 2013. ISBN 978-80-01-05329-4. (CS)
BAŽANT, Zdeněk P. a L´HERMITE, Robert. Mathematical Modelling of Creep and Shrinkage of Concrete. New York: John Wiley and Sons, 1988. ISBN 0471920576. (EN)
Elektronické studijní opory FAST VUTNavrátil Jaroslav. Vybrané statě z betonových konstrukcí. 64 stran, 2007 (CS)

Classification of course in study plans

• Programme N-P-C-SI Master's

branch S , 1 year of study, summer semester, compulsory-optional
branch K , 1 year of study, summer semester, compulsory-optional

• Programme N-K-C-SI Master's

branch K , 1 year of study, summer semester, compulsory-optional
branch S , 1 year of study, summer semester, compulsory-optional

#### Type of course unit

Lecture

26 hod., optionally

Teacher / Lecturer

Syllabus

1. Static analysis, plasticity method. Strut and tie model. Proportioning of nodes, struts and ties. 2. Deep wall beam. Reinforcement design of brackets, corbels and discontinuity zones. 3. Variable angle truss model, interaction of internal forces acting on concrete cross-section. 4. Hybrid structures. Influence of rheology of concrete on structural behaviour. Principal of rheological phenomena. 5. Effects of creep and shrinkage, non-homogeneity of structures. Colonnetti’s theorems. Components of concrete strain. 6. Delayed strain. Principle of linearity (stress, temperature) and superposition, stress history, ageing of concrete. 7. Simplified and numerical methods for the analysis of rheological effects on structures – effective modulus methods, effective time method. 8. Time discretization method, its combination with finite element method. 9. Structural analysis of progressively constructed prestressed structures, force method, influence of shrinkage and creep. 10. Temperature effects on concrete - calculation of temperature stress acting on the structure. 11. Experimental structural analysis, model similarity. The interrelation of design and structural model. 12.- 13. Design of concrete structures for fatigue.

Exercise

26 hod., compulsory

Teacher / Lecturer

Syllabus

1. Deep wall beam - solving by truss analogy method. 2. Short bracket (corbel) - solving by truss analogy method. 3.- 4. Calculating of the effects of creep on concrete structures - principle of superposition. 5.- 6. Assessment of the limit of normal stresses from the operating effects of prestressing on the bridge structure - the use of force method for creep calculation. 7. Correction. 8.- 9. Calculation of stress in the concrete sections of composite columns by time discretization analysis (basic method TDA). 10. Correction. 11. Possibility of modelling of the creep effect on concrete structures - practical exercises. 12. Final correction. 13. Design submission. Credit.