Code: | EC0049 | Acronym: | AAES |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Structures |
Active? | Yes |
Web Page: | http://civil.fe.up.pt/pub/apoio/ano5/aae/ano5_aae.htm |
Responsible unit: | Structural Division |
Course/CS Responsible: | Master in Civil Engineering |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
MIEC | 52 | Syllabus since 2006/2007 | 5 | - | 5 | 60 | 133 |
To teach numerical techniques of structural analysis. Formulation of several types of finite elements. Introduction to the nonlinear analysis of structures. Applications of the finite element method.
1. Analysis of framed structures by the displacement method (revision) (10%)
1.1. Linear transformation of coordinates
1.2. Stiffness matrix in the global coordinate system
1.3. Assembly of the global stiffness matrix
1.4. Boundary conditions
1.5. Algorithm to perform a structural analysis by the displacement method
2. Finite element method in one-dimensional problems (20%)
2.1. Lagrangian interpolation
2.2. Formulation without coordinate transformation
2.3. Formulation with coordinate transformation
3. Finite element method in the continuum (2D and 3D) (40%)
3.1. Lagrangian interpolation in two dimensions
3.2. Plane stress - formulation without coordinate transformation
3.3. Plane stress - formulation with coordinate transformation
3.4. Finite element software (utilization)
3.5. Plane strain
3.6. Axisymmetry
3.7. Calculation of the shape functions of an arbitrary finite element
3.8. Three-dimensional solids - brick elements
4. Finite element method in problems with bending (20%)
4.1. Prismatic beams
4.1.1. Beam theory
4.1.2. Euler-Bernoulli formulation
4.1.3. Timoshenko formulation
5. Introduction to the nonlinear analysis of structures (10%)
DEMONSTRATION OF THE SYLLABUS COHERENCE WITH THE CURRICULAR UNIT'S OBJECTIVES:
The education that is transmitted within the branch of Structures is focused in the areas of structural conception, methods of structural analysis and its application to problems of civil engineering, from the current to the special ones, and techniques involved in their construction, considering the structural codes, at national and european level, the use of informatics tools and visits to works. This curricular unit, Advanced Structural Analysis, permits complete education in the analysis and design of structures, which began with the curricular units of Structural Analysis 1 and 2, which will focus on the study of continuous structures, including walls, slabs, shells and solids.
Introduction of each theoretical subject in the plenary lectures. Case studies in the lab classes. Limited application problems solved with a small calculator. Real world applications solved with a computer program.
DEMONSTRATION OF THE COHERENCE BETWEEN THE TEACHING METHODOLOGIES AND THE LEARNING OUTCOMES:
Learn to utilize properly the most modern informatics tools and adapt the studies to the characteristics of each project. Discuss and compare different structural solutions and hierarchically them in order to analyze the most appropriate. Discuss the proposals for each project based on the knowledge acquired in the interpretation of models of structural behavior. Propose and formulate alternatives to proposals that are currently used in order to formulate realistic proposals.
Designation | Weight (%) |
---|---|
Exame | 75,00 |
Trabalho escrito | 25,00 |
Total: | 100,00 |
Achieving final classification requires compliance with attendance at the course unit, according to the MIEC assessment rules. It is considered that students meet the attendance requirements if, having been regularly enrolled, the number of absences of 25% for each of the classes’ types is not exceeded.
The final grade is calculated with the following expression:
FG = max{0.75xFE + 0.25xDE; FE}
where FG is the final grade, FE is the classification of the final exam, and DE is the classification of the distributed evaluation.
All classifications are expressed in a scale of 0 to 20, being the successful approval obtained with a final grade of 10 or higher.
The distributed evaluation consists on the development of a practical assignment. This assignment includes the development and utilization of finite element software. The practical assignment is to be done individually and will be accepted until the day of the last class. The practical assignment is optional. The practical assignment cannot be regraded. The grades obtained in practical assignments of previous years cannot be considered in the current period.
According to the regulations of FEUP/UP.
The classification improvement can only be done in a final exam.
PREVIOUS KNOWLEDGE: This course unit deepens and applies subjects related with structural analysis, with special emphasis on subjects previously treated in the courses of Mechanics, Strength of Materials and Theory of Structures. The practical classes take place in a computer room.
ESTIMATED WORKING TIME OUT OF CLASSES: 4 hours