Concrete Structures

Academic year
Subject Area
Structures and Structural Mechanics
Language of Instruction
Mode of Delivery
ECTS Credits
2nd Cycle Studies - Mestrado

Recommended Prerequisites

Linear Algebra, Mathematical Analysis, Structural Statics, Continuum Mechanics, Strength of Materials, Theory of Structures, Reinforced Concrete

Teaching Methods

1- Theoretical classes where the presentation of the fundamental concepts, assumptions and methods of analysis is followed by the solution and analysis of application problems. These problems can be of an introductory type or more complex exam like problems.

2- Practical classes where application problems with a examination complexity level are presented. These problems are solved and analyzed by the students working by themselves. The lecturer must clarify the student’s doubts and promote the critical analysis of the solution methods and results.

3- Tutorials at the lecturer office for students presenting more difficulties and for additional or more advanced questions.

Learning Outcomes

1 Requirements of new knowledge and capacity of understanding

11 Stress fields (SF)

111 basic assumptions adopted in the analysis and design of RC structures using stress fields

112 Strut and tie models

113 Meaning and requirements of hypostatic models

12 Prestressed reinforced concrete (PRC)

121 Mechanics of structural prestress

122 Advantages

123 Materials

124 Equivalent loading (EL) concept

2 Application of new knowledge

21 SF

211 Analysis and design of RC structures

212 Analysis of discontinuity zones and regular zones

213 Analysis, design and detailing of deep beams, brackets, shear walls, coupling beams, beams with irregular geometry, thin-walled members with closed cross-section subjected to torsion

22 PRC

221 Design of profile of prestress cables

222 Load and deflection balancing methods

223 Computation of equivalent loading

224 Limit state of decompression

Work Placement(s)



1- Application of the stress field method to the analysis and dimensioning of the elements and structures of Reinforced Concrete.

1.1. Theoretical bases.

1.2. Analysis and dimensioning based on stress fields.

1.3. Strut and tie models.

1.4. Characterization and calculation of basic 2D stress fields.

1.5. Characterization and calculation of basic 2D and 3D strut and tie models.

1.6. Hypostatic strut and tie models.

1.7. Analysis of nodal zones.

1.8. Analysis and dimensioning of deep beams.

1.9. Analysis of brackets, shear walls, coupling beams, beams with irregular geometry, thin-walled members with a closed cross-section subjected to torsion.

2- Introduction to pre-stressed reinforced concrete.

2.1. Materials.

2.2. Behaviour.

2.3. Dimensioning principles.

2.4. Equivalent loading.

Assessment Methods

Exam: 100.0%


Muttoni, A, Schwartz, J e Thürlimann, B. Design of Concrete Structures with Stress Fields, Birkhäuser, 1997

Leonhardt, F E Mönning, E., Construções de Concreto, Vols. 1, 2 e 5, Editora Interciência, Rio de Janeiro. 1979

Chaussin, R., Fuentes, A., Lacroix, R., Perchat, J., La Précontrainte, Presses Ponts et Chaussées, 1993

Favre, R., Jaccoud, J.-P., Burdet O., Charif, H., Dimensionnement des structures en béton, Presses Polytechniques et Universitaires Romandes, Lausanne, 1997

V. Dias da Silva, Mechanics and Strength of Materials, Springer, 2005