Course detail

Selected Chapters of Concrete Structures 2 (K)

FAST-NLB038Acad. year: 2022/2023

Non-linear material models of plain and reinforced concrete and their application in some commercial programming systems of FEM (finite element method).
Modelling of concrete members sections behaviour (linear and non-linear analysis) using the FEM analysis, Non-linear analysis of reinforced concrete sections.
Solution of state of stress effected by temperature load.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. RNDr. Ing. Petr Štěpánek, CSc., dr. h. c.

Department

Institute of Concrete and Masonry Structures (BZK)

Learning outcomes of the course unit

A student gains these knowledge and skills:
• Analysis of linear and non-linear behaviour of concrete structures sections.
• Non-linear static analysis of concrete structures and their parts.

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

Not applicable.

Course curriculum

1. Modelling of cross-section behaviour of concrete members, linear and non-linear analysis. General formulation of the problem as physically non-linear task.
2. Solution of the conditions of equilibrium. Iterative methods. Control of loadd-bearing capacity.
3. Non-linear material models of concrete and reinforced concrete.
4. Cracks, cracks localization, fracture energy, modelling of concrete in tension.
5. Plane state of stress, concrete crushing. Methods of solution of non-linear equations system.
6. Methods of non-linear task solution: layered, integral.
7. Non-linear modelling of flat concrete structures.
8. Non-linear analysis of prestressed concrete sections. Optimisation of reinforcement design into a section.
9. Non-linear material models of concrete and reinforced concrete in some comercial software of FEM systems.
10. Temperature effects on concrete – calculation of temperature stress acting on structures.

Work placements

Not applicable.

Aims

Analysis of linear and non-linear behaviour of concrete structures sections.
Non-linear static analysis of concrete structures and their parts.

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

KOLÁŘ, Vladimír, NĚMEC, Ivan a KANICKÝ, Viktor. FEM - principy a praxe metody konečných prvků. Praha: Computer Press, 1997. ISBN 8072260219 (CS)

Recommended reading

ČERVENKA, Vladimír, Libor JENDELE a Jan ČERVENKA. ATENA Program Documentation, Part 1 - Theory. Praha: Cervenka Consulting, 2012. (EN)
GHALI, Amin, Renaud FAVRE a Mamdouh ELBADRY. Concrete Structures. Stresses and Deformations: Analysis and Design for Sustainabil. London: Spon Press, 2012. ISBN 978-0-415-58561-3 (EN)
KHONKE, P. ANSYS - User Manual. Cannonsburg: SAS IP, 1999. (EN)
KOLÁŘ, Vladimír et al. Výpočet plošných a prostorových konstrukcí metodou konečných prvků. Praha: SNTL, 1979. (CS)
Kolektiv autorů. Scia Engineer 2013 Manuals. Nemetschek Scia, 2013. (EN)
ZIENKIEWICZ, O, C., TAYLOR, R. L. a ZHU, J. Z. The Finite Element Method: Its Basis and Fundamentals. Amsterdam: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6320-0 (EN)

Classification of course in study plans

  • Programme NPC-SIK Master's 2 year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. RNDr. Ing. Petr Štěpánek, CSc., dr. h. c.

Syllabus

1. Modelling of cross-section behaviour of concrete members, linear and non-linear analysis. General formulation of the problem as physically non-linear task. 2. Solution of the conditions of equilibrium. Iterative methods. Control of loadd-bearing capacity. 3. Non-linear material models of concrete and reinforced concrete. 4. Cracks, cracks localization, fracture energy, modelling of concrete in tension. 5. Plane state of stress, concrete crushing. Methods of solution of non-linear equations system. 6. Methods of non-linear task solution: layered, integral. 7. Non-linear modelling of flat concrete structures. 8. Non-linear analysis of prestressed concrete sections. Optimisation of reinforcement design into a section. 9. Non-linear material models of concrete and reinforced concrete in some comercial software of FEM systems. 10. Temperature effects on concrete – calculation of temperature stress acting on structures.

Exercise

13 hod., compulsory

Teacher / Lecturer

doc. Ing. Ivana Laníková, Ph.D.

Syllabus

1.–3. Calculation analysis of the cross section bearing capacity loaded by combination of bending moment and normal force – physical non-linearity of the concrete and steel. Cross section layer model for compression part. Algorithm development of the calculation with help of Microsoft Excel program. 4. Correction. 5.–6. Deflection computation of the two way slab within Scia Engineer computing program with the help of non-linear calculation. 7. Correction. 8.–9. Deflection computation of the two way slab within Scia Engineer computing program with help of linear iterative computation – non-linear behaviour is taken into account by modification of the stiffness matrix within every iterative step. 10. Tasks submission. Credit.