Study programme competencies |
Code
|
Study programme competences / results
|
A1 |
FB1 - 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. |
A23 |
TEM4 - Coñecementos e capacidades para aplicar os fundamentos da elasticidade e resistencia de materiais ao comportamento de sólidos reais. |
B2 |
CB02 - 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 |
B4 |
CB04 - Que os estudantes poidan transmitir información, ideas, problemas e solucións a un público tanto especializado como leigo |
B5 |
CB05 - Que os estudantes desenvolvan aquelas habilidades de aprendizaxe necesarias para emprenderen estudos posteriores cun alto grao de autonomía |
B7 |
B5 - Ser capaz de realizar unha análise crítica, avaliación e síntese de ideas novas e complexas |
B9 |
B8 - 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 |
C4 |
C6 - Valorar criticamente o coñecemento, a tecnoloxía e a información dispoñible para resolver os problemas cos que deben enfrontarse. |
C6 |
C8 - 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 |
A1 A23
|
B2 B4 B5 B7 B9
|
C4 C6
|
Solve exercises and problems in a reasoned and complete way |
A1 A23
|
B2 B4 B5 B7 B9
|
C4 C6
|
Properly apply theoretical concepts in the laboratory. Make mathematical models of mechanical and structural systems |
A1 A23
|
B2 B4 B5 B7 B9
|
C4 C6
|
Employ a correct language for the structural engineering field in order to show and to explain information and results |
|
B2 B4 B5 B7 B9
|
C4 C6
|
Contents |
Topic |
Sub-topic |
Chapter 0. The following topics develop the contents set up in the verification memory. |
Finite element method; structural elements; numerical analysis of structures using computer programs. |
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 A23 B2 B4 B5 B7 B9 C4 C6 |
4 |
24 |
28 |
Supervised projects |
A1 A23 B2 B4 B5 B7 B9 C4 C6 |
16 |
28 |
44 |
Guest lecture / keynote speech |
A1 A23 B2 B4 B5 B7 B9 C4 C6 |
18 |
45 |
63 |
Problem solving |
A1 A23 B2 B4 B5 B7 B9 C4 C6 |
4 |
9 |
13 |
|
Personalized attention |
|
2 |
0 |
2 |
|
(*)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 |
Problem solving |
Técnica a través da cal hai que resolver unha situación problemática específica, a partir da
coñecemento que se traballou e que pode ter máis dunha solución. |
Personalized attention |
Methodologies
|
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 A23 B2 B4 B5 B7 B9 C4 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. |
30 |
Supervised projects |
A1 A23 B2 B4 B5 B7 B9 C4 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. |
70 |
|
Assessment comments |
Students, whose presence throughout thesemester where insufficient to track their work, by academic waiver or othercauses, must also develop and present practices and tutored work for theirevaluation. The follow-up of this work shall be carried out in tutoringsessions. In this case, the process of evaluation may include in addition tothe presentation of practices and tutored work, a practice session,individually or in group, in which the student addresses manually or with thecomputer the problems raised by the teacher. For the second chance you can present or improvepractices and tutored work. The tracking is done in tutorial sessions. Theassessment is done through presentation of practices and tutored work pendingand/or improved. The process of evaluation may include, in addition to thepresentation of practices and tutored work, a practical session, individuallyor in group, in which the student addresses manually or with the computer theproblems posed by the teacher. The evaluation criteria of the early December call will be the same as those of the second opportunity of the previous year
|
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 |
|
Complementary
|
|
|
Recommendations |
Subjects that it is recommended to have taken before |
Strength of Materials/730G03013 | Theory of Structures /730G03021 |
|
Subjects that are recommended to be taken simultaneously |
Tecnology and Design of Structures/730G03071 |
|
Subjects that continue the syllabus |
Theory of Vibration/730G03040 | Structural Typologies/730G03070 |
|
Other comments |
<p class="MsoNormal">To help achieve a sustained immediate
environment and meet the objective of the action number 5: "Teaching and
healthy and sustainable environmental and social research" of the
"Plan of action Green Campus Ferrol":</p><p class="MsoNormal">&nbsp;</p><p class="MsoNormal">Documentary work presented in this matter: </p><p class="MsoNormal">* Should be requested in virtual format or computer support </p><p class="MsoNormal">* Will take place through Moodle, in digital format without having to
print them </p><p class="MsoNormal">* Should be required on paper:</p><p class="MsoNormal">&nbsp;&nbsp; -Not be&nbsp; they used plastic </p><p class="MsoNormal">&nbsp;&nbsp; -There will be double-side
printing.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </p><p class="MsoNormal">&nbsp;&nbsp; -Will use recycled paper.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </p><p class="MsoNormal">&nbsp;&nbsp; -Prevent printing drafts. </p><p class="MsoNormal">&nbsp;</p><p class="MsoNormal">You should make a sustainable use of
resources and the prevention of negative impacts on the natural environment</p> |
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