Advanced Structural Analysis
Instance: 2006/2007 - 1S
Cycles of Study/Courses
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
Assessment Components
Description |
Type |
Time (hours) |
Weight (%) |
End date |
Subject Classes |
Participação presencial |
|
|
|
|
Total: |
- |
0,00 |
|
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.
Classification improvement
Final exam.
Observations
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Estimated working time out of classes: 4 hours