Course detail

Selected problems of concrete structures I (KON)

FAST-CL53Acad. year: 2011/2012

Static analysis of concrete structures and their parts. Plasticity method, lower-bound theorem, upper-bound theorem. Truss analogy for the analysis of concrete structures, material properties.
Truss analogy application for reinforcement design of some structures and details. Analysis of beams loaded in shear, variable angle truss model, modern theories of interaction of internal forces acting on concrete section.
Compression field theory, modified 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 (stress, temperature), and superposition, stress history. Creep models – assumptions, mathematical functions, properties. Ageing of concrete. 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.
Some simplified and numerical methods for creep analysis and their combination by FEM.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Department

Institute of Concrete and Masonry Structures (BZK)

Learning outcomes of the course unit

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.

Prerequisites

structural mechanics, numerical methods, concrete structures, prestressed concrete

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

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

Course curriculum

1. The interrelation of design and structural model. Plastic analysis. Strut and tie model. Proportioning of nodes, struts and ties. Reinforcement design of brackets, corbels and discontinuity zones.
2. Variable angle truss model, interaction of internal forces acting on concrete cross-section.
3. Compression field theory. Modified compression field theory.
4. Hybrid structures, effects of prestressing, construction and rheology of concrete on structural behaviour. Drying of concrete, shrinkage, autogenous shrinkage, physical principal of rheological phenomena.
5. Components of concrete strain. Delayed strain caused by stress. Principle of linearity (stress, temperature) and superposition, stress history, ageing of concrete. Rate-of-creep theory, theory of delayed elasticity, creep affinity.
6. General rheological models - preconditions, functions applied, characteristics. Model B3, its updated prediction and extensions.
7. Effects of creep and shrinkage on structural behaviour, non-homogeneity of structures. Integral and diferential equations of creep. Colonnetti’s theorems.
8. Structural analysis of progressively constructed prestressed structures. Closed form solution using force method.
9. Simplified and numerical methods for the analysis of rheological effects on structures – effective modulus methods, effective time method.
10. Time discretization method, its combination with finite element method method.
11. Examples of modelling of segmentally constructed structures – span-by-span construction, cantilever construction, cable-stayed structures.
12. Check of prestressed concrete structures with respect to redistribution of internal forces caused by creep and shrinkage.
13. Deflection control with respect to progressive construction. Practical implication of creep and shrinkage to structures.

Work placements

Not applicable.

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.

Specification of controlled education, way of implementation and compensation for absences

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

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

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)
COLLINS, Michael P. and MITCHELL, Denis: Prestressed Concrete Structures. New Jersey: Prentice Hall, 1991. ISBN 0-13-691635-X. (EN)
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. [http://onlinelibrary.wiley.com/doi/10.1002/9780470688892.ch1/summary] (EN)
NAVRÁTIL, Jaroslav: Prestressed Concrete Structures. Brno: CERM, 2006. ISBN 80-7204-462-1. (EN)
ŠMERDA, Zdeněk a KŘÍSTEK, Vladimír: Creep and Shrinkage of Concrete Elements and Structures. Praha: SNTL, 1988. (CS)

Recommended reading

FIB Recommendations: Practical Design of Structural Concrete. London: SETO, 1999. (EN)
MUTTONI, Aurelio, SCHWARTZ, Joseph a THÜRLIMANN, Bruno: Design and Detailing of Reinforced Concrete Structures. Switzerland: Swiss Federal Institute of Technology, 1989. (EN)
NAVRÁTIL, Jaroslav: Předpjaté betonové konstrukce. Brno: CERM, 2008. ISBN 978-80-7204-561-7. (CS)
NAVRÁTILl, Jaroslav: Vybrané statě z betonových konstrukcí I (studijní opora v elektronické podobě). Brno: VUT, 2008. (CS)
PROCHÁZKA, Jaroslav, ŠTEFAN, Radek a VAŠKOVÁ, Jitka: Navrhování betonových a zděných konstrukcí na účinky požáru. Praha: ČVUT, 2010. ISBN 978-80-01-04613-5. (CS)
SCHLAICH, Jorg, SCHAFER, Kurt a JENNEWEIN, Mattias: Towards a Consistent Design of Reinforced Concrete Structure. PCI Journal, Vol. 32, No. 3, 1987. ISSN: 0887-9672. [http://www.pci.org/publications/journal/archive.cfm?bv=1&season=May-June&year=1987] (EN)
ŠMERDA, Zdeněk a KŘÍSTEK, Vladimír: Dotvarování a smršťování betonových prvků a konstrukcí. Praha: SNTL, 1978. (CS)
VOVES, Bohuslav: Navrhování konstrukcí z předpjatého betonu v příkladech. Praha: SNTL, 1980. (CS)
ZŮDA, Karel: Výpočet staticky neurčitých mostních konstrukcí z předpjatého betonu. Praha: SNTL, 1971. (CS)

Classification of course in study plans

  • Programme N-P-E-SI Master's

    branch K , 1 year of study, summer semester, elective
    branch S , 1 year of study, summer semester, elective

  • Programme N-P-C-SI Master's

    branch K , 1 year of study, summer semester, elective
    branch S , 1 year of study, summer semester, elective

  • Programme N-K-C-SI Master's

    branch K , 1 year of study, summer semester, elective
    branch S , 1 year of study, summer semester, elective

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Exercise

26 hod., compulsory

Teacher / Lecturer