Numerical Methods in Structures and Geotechnics

Code:

M.EC009

Acronym:

MNEG

Keywords
Classification	Keyword
OFICIAL	Structures

Instance: 2024/2025 - 2S

Active?	Yes
Web Page:	http://civil.fe.up.pt/pub/apoio/ano5/aae/ano5_aae.htm
Responsible unit:	Department of Civil and Georesources Engineering
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
M.EC	37	Syllabus	1	-	6	45,5	162

Teaching language

English

Objectives

Get to know the basics and how to apply numerical modelling techniques in order to solve structural and geotechnical problems related to Civil Engineering.

Understand the basics of the Finite Element Method, including different formulations and their computational implementation.

Develop decision-making abilities in the selection of the best methodologies for structural and geotechnical simulation of problems in Civil Engineering.

Develop the ability to critically appraise the results of numerical modelling and their use in structural and geotechnical design processes.

Learning outcomes and competences

This course aims to develop the following skills:

(i) capacity for defining the FEM procedures leading to a set of algebraic equations which provide an approximate numerical solution to the differential equations governing the physical phenomena under analysis;

(ii) identification of the FEM fundamental algorithmic features in diverse applications of structural and geotechnical nature, with critical appraisal of the obtained solutions;

(iii) capacity to apply the FEM in the resolution of structural and geotechnical problems;

(iv) capacity to utilize the FEM in parametric studies to assess the relative weight of various factors on the quality/efficiency/safety/cost of the desired solution.

As learning outcomes, the student will master the theory underlying the FEM, will develop the experience necessary for its practical application and will acquire critical skills to assess the results obtained.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

Solid background of mechanics of materials and structural analysis.

Program

1 – Introduction to the application of numerical methods for solving engineering problems.
2 – Introduction to the finite element method and its scope of application.
3 – Finite element method in 1D problems.
4 – Finite element method in 2D and 3D continuous media.
5 – Finite element method applied to bending problems.
6 – Finite elements specific for geotechnical stress-strain problems - contact elements and infinite elements.
7 – Nonlinear constitutive models - general formulation.
8 – Nonlinear analysis using the finite element method - formulation and application.

Mandatory literature

Azevedo Álvaro Ferreira Marques Universidade do Porto. Faculdade de Engenharia; Método dos elementos finitos
Potts David M.; Finite element analysis in geotechnical engineering. ISBN: 0-7277-2753-2 (vol. 1)

Complementary Bibliography

Cook Robert D.; Concepts and applications of finite element analysis. ISBN: 0-471-50319-3
Zienkiewicz, O. C.; Taylor, R. L.; The^finite Element Method for Solid and Structural Mechanics, Sixth Edition. ISBN: 0750663219
Bathe Klaus-Jurgen; Finite element procedures. ISBN: 0-13-301458-4

Teaching methods and learning activities

The formulations of the methodologies are presented, accompanied by the presentation of short practical examples. Additionally, problems involving a very small number of finite elements are solved with hand calculations. During the classes taught in a computer room, FEM software is used to solve specific problems.

Software

ANSYS
RS2 (Rocscience)
Autodesk Robot Structural Analysis

keywords

Technological sciences > Engineering > Civil engineering > Geotechnics
Technological sciences > Engineering > Civil engineering > Structural engineering

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	70,00
Trabalho prático ou de projeto	30,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	91,50
Frequência das aulas	45,50
Trabalho escrito	25,00
Total:	162,00

Eligibility for exams

Obtaining a final grade requires compliance with the curricular unit, as established in the assessment rules of FEUP. It is considered that a student fulfils the attendance to a curricular unit if, having been regularly enrolled, does not exceed the maximum number of absences corresponding to 25% of the total number of classes foreseen.

Calculation formula of final grade

The final grade is calculated according to the following expression:

FG = max {0.60xFE + 0.15xDA1 + 0.25xDA2; 0.75xFE + 0.25xDA2}

where FG is the final grade, FE is the classification in the final exam and DA1 is the classification obtained in the assignment (Structures component) and DA2 is the classification obtained in the assignment (Geotechnical component).

All the grades are expressed in a range between 0 and 20 points. Approval requires a minimum grade of 10 points.

Examinations or Special Assignments

Structures component: the distributed assessment consists of the development of an assignment involving the application of the finite element method. The work is developed individually or by a group of two students. The assignment is optional.

Geotechnics component: the distributed assessment consists of two assignments involving the application of the finite element method. The work is carried out individually or by a group of two students. The assignments are compulsory for approval in the course. For students with special status (e.g., TE), the assignments are also compulsory. The assignments should be developed individually when carried out outside the classroom. The final grade is subject to an oral discussion on the submitted reports.

Improvement of the grade obtained in the assignments is not possible. Grades obtained in assignments carried out in previous academic years are not considered in the current academic year or in special assessment periods.

Special assessment (TE, DA, ...)

In accordance with the general regulations of FEUP/UP.

Classification improvement

Improvement of the final grade can only be achieved by means of a final exam covering the entire course syllabus. Improvement of the grade obtained in the assignments is not possible.