Advanced Structural Analysis

Code:

EC0049

Acronym:

AAES

Keywords
Classification	Keyword
OFICIAL	Structures

Instance: 2008/2009 - 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	33	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.

Program

1. Analysis of framed structures by the displacement method
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
2.1. Lagrangian interpolation
2.2. Formulation without coordinate transformation
2.3. Formulation with coordinate transformation
3. Finite element method in the continuum
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
3.5. Calculation of the shape functions of an arbitrary finite element
3.6. Plane strain
3.7. Axisymmetry
3.8. Three-dimensional solids - brick elements
4. Finite element method in problems with bending
4.1. Prismatic beams
4.1.1. Beam theory
4.1.2. Euler-Bernoulli formulation
4.1.3. Timoshenko formulation
5. Plastic analysis of structures
5.1. Plane frames
5.1.1. Plastification moment of a cross-section
5.1.2. Plastic hinges
5.1.3. Colapse mechanism
5.1.4. Static theorem and kinematic theorem
5.1.5. Case studies
5.2. Slabs
5.2.1. Plastification moment of a slab
5.2.2. Yield lines
5.2.3. Colapse mechanism
5.2.4. Case studies

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.

Software

Robot Millennium

keywords

Technological sciences > Engineering > Civil engineering > Structural engineering

Evaluation Type

Evaluation with final exam

Eligibility for exams

According to general FEUP rules.

Calculation formula of final grade

Final exam.

Examinations or Special Assignments

None.

Special assessment (TE, DA, ...)

None.

SPECIAL RULES FOR MOBILITY STUDENTS:
Proficiency in Portuguese and/or English;
Previous attendance of introductory graduate courses in the scientific field addressed in this module;
Evaluation by exam and/or coursework(s) defined in accordance with student profile.

Classification improvement

Final exam.

Observations

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Estimated working time out of classes: 4 hours