Study programme competencies |
Code
|
Study programme competences / results
|
A1 |
Capacidade para a resolución dos problemas matemáticos que poidan formularse na enxeñaría. Aptitude para aplicar os coñecementos sobre: álxebra lineal; xeometría; xeometría diferencial; cálculo diferencial e integral; ecuacións diferenciais e en derivadas parciais; métodos numéricos; algorítmica numérica; estatística e optimización. |
A14 |
Coñecemento e utilización dos principios da resistencia de materiais. |
A23 |
Coñecementos e capacidades para aplicar os fundamentos da elasticidade e resistencia de materiais ao comportamento de sólidos reais. |
A24 |
Coñecementos e capacidade para o cálculo e deseño de estruturas e construcións industriais. |
B2 |
Que os estudantes saiban aplicar os seus coñecementos ao seu traballo ou vocación dunha forma profesional e posúan as competencias que adoitan demostrarse por medio da elaboración e defensa de argumentos e a resolución de problemas dentro da súa área de estudo |
B3 |
Que os estudantes teñan a capacidade de reunir e interpretar datos relevantes (normalmente dentro da súa área de estudo) para emitiren xuízos que inclúan unha reflexión sobre temas relevantes de índole social, científica ou ética |
B5 |
Que os estudantes desenvolvan aquelas habilidades de aprendizaxe necesarias para emprenderen estudos posteriores cun alto grao de autonomía |
B6 |
Ser capaz de concibir, deseñar ou poñer en práctica e adoptar un proceso substancial de investigación con rigor científico para resolver calquera problema formulado, así como de comunicar as súas conclusións –e os coñecementos e razóns últimas que as sustentan– a un público tanto especializados como leigo dun xeito claro e sen ambigüidades |
B7 |
Ser capaz de realizar unha análise crítica, avaliación e síntese de ideas novas e complexas |
B9 |
Adquirir unha formación metodolóxica que garanta o desenvolvemento de proxectos de investigación (de carácter cuantitativo e/ou cualitativo) cunha finalidade estratéxica e que contribúan a situarnos na vangarda do coñecemento |
C1 |
Utilizar as ferramentas básicas das tecnoloxías da información e as comunicacións (TIC) necesarias para o exercicio da súa profesión e para a aprendizaxe ao longo da súa vida. |
C2 |
Desenvolverse para o exercicio dunha cidadanía aberta, culta, crítica, comprometida, democrática e solidaria, capaz de analizar a realidade, diagnosticar problemas, formular e implantar solucións baseadas no coñecemento e orientadas ao ben común. |
C3 |
Entender a importancia da cultura emprendedora e coñecer os medios ao alcance das persoas emprendedoras. |
C4 |
Valorar criticamente o coñecemento, a tecnoloxía e a información dispoñible para resolver os problemas cos que deben enfrontarse. |
C5 |
Asumir como profesional e cidadán a importancia da aprendizaxe ao longo da vida. |
C6 |
Valorar a importancia que ten a investigación, a innovación e o desenvolvemento tecnolóxico no avance socioeconómico e cultural da sociedade. |
Learning aims |
Learning outcomes |
Study programme competences / results |
Use the main laws of computational analysis of elastic solids and structures |
A14 A23 A24
|
B3 B5 B6 B9
|
C1 C3 C5
|
Properly apply theoretical concepts in the laboratory. Make mathematical models of mechanical and structural systems |
A1 A24
|
B2 B5 B6
|
C2 C4 C6
|
Employ a correct language for the structural engineering field in order to show and to explain information and results |
|
B2 B3 B5 B6 B7 B9
|
C1 C2 C3 C4 C5 C6
|
Solve exercises and problems in a reasoned and complete way |
A1 A14 A23 A24
|
B2 B3 B6 B7
|
C1 C2 C3 C4 C5 C6
|
Contents |
Topic |
Sub-topic |
Chapter 0. The following topics develop the contents set up in the verification memory. |
The finite element method; structural elements; numerical analysis of structures by means of computer programs. Mechanics of soil and foundations. |
Chapter 1. Formulation of the Finite Element Method FEM for the static problem |
Formulation of the structural static problem. Principle of virtual displacements. Discretization. Interpolation. Stiffness matrix and Load vector. Assembly. Transformation of element local and structure global degrees of freedom. |
Chapter 2. Formulation of the FEM for the dynamic problem |
Formulation of the structural dynamic problem. Mass and damping matrices. Imposition of displacement boundary conditions. Master and sleeve degrees of freedom. Displacement, deformation and stress fields |
Chapter 3. Approximating element displacement field |
Classification of various elastic problems. Generalized stress-strain matrices. Interpolation functions for generalized coordinate finite element family. Lagrange and Serendip elements. Lagrange interpolation. Convergence criteria of FEM. Parcel test |
Chapter 4. Isoparametric elements |
Introduction. Isoparametric elements. Geometric and natural coordinate system. Finite elements with a variable number of nodes. |
Chapter 5. Isoparametric elements for plain stress and plain strain. |
Plain stress and plain strain elastic problem. Formulation of an isoparametric element for plain stress. Jacobian matrix of isoparametric transformation. Singularities. Discretization errors. Mass and stiffness matrices. |
Chapter 6. Computational issues. |
Numerical integration. Method of Newton-Cotes. Gauss quadrature. Two-dimensional and three-dimensional integration. Full integration, reduced integration, selective integration. Recommendations for the type and order of integration. Construction of the numerical stiffness matrix of two-dimensional isoparametric linear element. Volume and surface load vectors. Thermal loads. Convergence criteria for isoparametric elements. |
Chapter 7. Beam structural elements |
Introduction. Euler-Bernoulli beam theory, Timoshenko beam theory. Equilibrium equations of beams. Formulation of the Hermitian beam finite element. Two-dimensional beam element. Three-dimensional beam element |
Chapter 8. Plate and Shell elements |
Behaviour of elastic plates. Kirchhoff plate theory. Reissner-Mindlin plate theory. Formulation of a finite element for plates. Equilibrium equations. Behaviour of elastic Shells. A flat Shell finite element. |
Planning |
Methodologies / tests |
Competencies / Results |
Teaching hours (in-person & virtual) |
Student’s personal work hours |
Total hours |
Laboratory practice |
A1 A14 A23 A24 B2 B3 B5 B6 B7 B9 C1 C2 C3 C4 C5 C6 |
10 |
20 |
30 |
Supervised projects |
A1 A14 A23 A24 B2 B3 B5 B6 B7 B9 C1 C2 C3 C4 C5 C6 |
14 |
38.5 |
52.5 |
Guest lecture / keynote speech |
A14 A23 A24 B5 B9 C1 C2 C3 C4 C5 C6 |
10 |
30 |
40 |
Seminar |
A1 A14 A23 A24 B2 B3 B5 B6 B7 B9 C1 C2 C3 C4 C5 C6 |
8 |
16 |
24 |
|
Personalized attention |
|
3.5 |
0 |
3.5 |
|
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. |
Methodologies |
Methodologies |
Description |
Laboratory practice |
Methodology that allows the realization of activities of practical character, with computer, such as modelization, analysis and simulation of mechanical and structural elements, as well as experimental studies in the workshop of structures, for studying its deformation and resistance |
Supervised projects |
Methodology designed to promote autonomous learning of students, solving a problem that involves the contents of the course and involves specific skills, under teacher supervision. |
Guest lecture / keynote speech |
Oral lecture supplemented with the use of audiovisual means, aiming transmit knowledge and facilitate the learning within the scope of structural analysis |
Seminar |
Technique of work in group to solve practical cases, by means of exhibition, discussion, participation and calculation. A calculator is employed. |
Personalized attention |
Methodologies
|
Seminar |
Laboratory practice |
Supervised projects |
|
Description |
Guidance and revision about specific problems posed at the development of the different activities proposed in the course. Revision and help when making supervised projects. |
|
Assessment |
Methodologies
|
Competencies / Results |
Description
|
Qualification
|
Laboratory practice |
A1 A14 A23 A24 B2 B3 B5 B6 B7 B9 C1 C2 C3 C4 C5 C6 |
Students must systematically attend practices. The proposed activities have to be done along the practical sessions, in order to be revised and evaluated by the teacher. The practices that aren’t developed during the practical classes, and periodically revised by the teacher will not be considered in the qualification.
The evaluation process of the laboratory lessons includes a two hour practice session, where the student solves with the computer the problems proposed by the teacher, individually. |
40 |
Supervised projects |
A1 A14 A23 A24 B2 B3 B5 B6 B7 B9 C1 C2 C3 C4 C5 C6 |
The projects include the theoretical and practical contents of the course. They are to be done individually. The projects will be developed during the practical sessions along the course and completed at home on the student personal work hours. The tasks will be followed and revised during the practical lessons. If the projects aren’t matured during the practical classes, nor periodically revised by the teacher, will not be considered in the qualification. |
60 |
|
Assessment comments |
The student, whose face-to-face work throughout the four-month period is not sufficient for evaluation, will be able to perform an objective test which allow evaluation and qualification.
|
Sources of information |
Basic
|
R. Gutiérrez, E. Bayo, A. Loureiro, LE Romera (2010). Estructuras II. Reprografía del Noroeste. Santiago de Compostela
Dassault Systèmes Simulia Corp. (2011). Abaqus Analysis User’s Manual. © Dassault Systèmes. Providence, RI, USA.
Eugenio Oñate (1995). Calculo de estructuras por el método de elementos finitos. CIMNE, Barcelona, España
Bathe K.J. (2006). Finite Elements Procedures.. Prentice-Hall, Pearson Education, Inc. USA |
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Complementary
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Recommendations |
Subjects that it is recommended to have taken before |
Strength of Materials/730G03013 | Theory of Structures /730G03021 | Strength of Materials II/730G03027 |
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Subjects that are recommended to be taken simultaneously |
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Subjects that continue the syllabus |
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