Course detail
Selected problems of concrete structures I (KON)
FAST-CL53Acad. year: 2009/2010
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.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
• 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
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
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. Model B3, its updated prediction and extensions.
7. Effects of creep and shrinkage on structural behaviour, non-homogeneity of structures. 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
Aims
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
Recommended optional programme components
Prerequisites and corequisites
Basic literature
COLLINS, Michael P. and MITCHELL, Denis: Prestressed Concrete Structures. New Jersey: Prentice Hall, 1991. ISBN 0-13-691635-X. (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
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)
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-K-C-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-P-E-CE Master's
branch K , 1 year of study, summer semester, elective
branch S , 1 year of study, summer semester, elective