Advanced Structural Analysis

Code:

EC0049

Acronym:

AAES

Keywords
Classification	Keyword
OFICIAL	Structures

Instance: 2020/2021 - 1S

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

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEC	26	Syllabus since 2006/2007	5	-	5	60	133

Teaching language

Portuguese

Objectives

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.

Learning outcomes and competences

   

Working method

Presencial

Program

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.

Mandatory literature

Álvaro Ferreira Marques Azevedo; Método dos elementos finitos (http://www.alvaroazevedo.com/publications/books/Livro_MEF_AA_1ed)
Cook, R. D.; Malkus, D. S.; Plesha, M. E.; Witt, R. J.; Concepts and Applications of Finite Element Analysis, Fourth Edition, John Wiley & Sons, Inc., 2001. ISBN: 0-471-35605-0 (https://books.google.pt/books/about/Concepts_and_Applications_of_Finite_Elem.html?id=b8seAQAAIAAJ&source=kp_cover&redir_esc=y)

Complementary Bibliography

Zienkiewicz, O. C.; Taylor, R. L.; The^finite Element Method for Solid and Structural Mechanics, Sixth Edition. ISBN: 0750663219 (https://books.google.pt/books/about/The_Finite_Element_Method_Its_Basis_and.html?id=YocoaH8lnx8C&printsec=frontcover&source=kp_read_button&redir_esc=y#v=onepage&q&f=false)
Oñate, E.; Cálculo de Estructuras por el Método de Elementos Finitos - Análisis Estático Lineal, Volumen 1 (Sólidos), CIMNE, 2016. ISBN: 978-84-945689-7-8 (https://books.cimne.upc.edu/shop/calculo-de-estructuras-por-el-metodo-de-los-elementos-finitos-analisis-estatico-lineal-vol-1/)
Oñate, E.; Cálculo de Estructuras por el Método de Elementos Finitos - Análisis Estático Lineal, Volumen 2 (Vigas, placas y láminas), CIMNE, 2019. ISBN: 978-84-949194-2-8 (https://books.cimne.upc.edu/shop/metodo-de-elementos-finitos-analisis-estatico-lineal-volumen-2-vigas-placas-y-laminas/)
João D.Arga e Lima; Manual de betão armado

Teaching methods and learning activities

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 order them to be able to analyze the most appropriate ones. Discuss the proposals for each project based on the knowledge acquired in the interpretation of the models of structural behavior. Propose and formulate alternatives to the proposals that are currently used in order to formulate more realistic proposals.

Software

ANSYS
FEMIX
Autodesk Robot Structural Analysis

keywords

Technological sciences > Engineering > Civil engineering > Structural engineering

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	75,00
Trabalho escrito	25,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Frequência das aulas	48,00
Total:	48,00

Eligibility for exams

Achieving a final classification requires compliance with attendance of 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 class type is not exceeded.

Calculation formula of final grade

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.

Examinations or Special Assignments

The distributed evaluation consists in 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.

Special assessment (TE, DA, ...)

According to the regulations of FEUP/UP.

Classification improvement

The classification improvement can only be done in a final exam.

Observations

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/week