| Study programme competencies |
| Code | Study programme competences |
| A53 | CÁLCULO MATEMÁTICO: comprensión ou coñecemento do cálculo numérico, a análise matemática, a xeometría analítica e diferencial e os métodos alxebraicos, como bases do entendemento dos fenómenos físicos que atinxen aos sistemas, equipos e servizos propios da edificación e o urbanismo. |
| A56 | BASES DE MECÁNICA XERAL: comprensión ou coñecemento dos principios da mecánica básica e aplicada, a estática, a xeometría de masas e os campos vectoriais e tensoriais necesarios para entender as condicións de equilibrio dos edificios e obras civís e de urbanización. |
| A57 | MECÁNICA ESTRUCTURAL E DO TERREO: comprensión ou coñecemento dos principios de mecánica de sólidos e de medios continuos, dos de mecánica do solo e das calidades plásticas, elásticas e de resistencia dos distintos materiais empregados en estruturas portantes, obra civil e cimentacións. |
| B1 | Learn how to learn |
| B2 | Resolver problemas de forma efectiva. |
| B3 | Aplicar un pensamento crítico, lóxico e creativo. |
| B4 | Traballar de forma autónoma con iniciativa. |
| B5 | Traballar de forma colaborativa. |
| B7 | Comunicarse de maneira efectiva nun entorno de traballo. |
| B11 | Capacidade de análise e síntese. |
| B12 | Toma de decisións. |
| B18 | Razoamento crítico. |
| B21 | Intuición mecánica. |
| B24 | Coñecementos de informática relativos ao ámbito de estudo. |
| B28 | Comprensión numérica. |
| C1 | Expresarse correctamente, tanto de forma oral coma escrita, nas linguas oficiais da comunidade autónoma. |
| C2 | Dominar a expresión e a comprensión de forma oral e escrita dun idioma estranxeiro. |
| C3 | 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. |
| C6 | Valorar criticamente o coñecemento, a tecnoloxía e a información dispoñible para resolver os problemas cos que deben enfrontarse. |
| Learning aims | |||
| Learning outcomes | Study programme competences | ||
| 1- Determine the equilibrium conditions of a rigid body in the plane as much space. | A53 A56 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| 2- Knowing the kind of connection of isostatic structure | A53 A56 A57 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| 3- Evaluate reactions of isostatic structure | A53 A56 A57 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| 4- Know and calculate the internal forces of isostatic frame structure (shear, bending, ....) | A53 A56 A57 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| 5- Learn a mixed structure subdivided into parts to proceed with its independent calculation | A53 A56 A57 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| 6- Know and calculate the internal force of isostatic articulated structure (tensile and compressive forces. ..) | A53 A56 A57 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| 7- Know and calculate internal forces of isostatic structure cables (tensile forces) | A53 A56 A57 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| 8- Locate the mass center of a rigid body. | A53 A56 A57 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| 9- Calculate moments and product of inertia of area respect to a plane, axes or point | A53 A56 A57 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| 10- Evaluate the connections in a structure by energy methods / virtual work | A53 A56 A57 |
B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 |
C1 C2 C3 C6 |
| Contents |
| Topic | Sub-topic |
| 1- STATIC SOLID RIGID | Review of Mechanics. Concept of force Basic hypothesis Force systems. Properties: Composition of forces. Resultant. Moment of a force respect to a point. Moment of the system. Moment of a force respect to axes. Moment of the system. Torque. Pair composition force. Reduction systems. Invariant of a system. Central axes. Equilibrium conditions in 3D and 2D. Particular cases: Solid rigid balance under the action of two forces. Solid rigid balance under the action of three forces. |
| 2- CONNECTIONS AND REACTIONS FORCES. EQUILIBRIUM OF RIGID SOLID |
Introduction. Concept of rigid solid. Free Solid / Solid linked. Support, connection and joint. Definition. Classifications. Active Forces (or actions) and Reactive Forces (or effects). Freedon Degreem: Internal, External and Total. Connection or constraints two-dimensional systems (2D). Connetion in three-dimensional systems (3D). Immobilization of the body: 2D and 3D. Isostatic, hyperstatic and mechanisms systems. Balance in two-dimensional. Calculation of reactions. Balance in three-dimensional. Calculation of reactions. Diagram of rigid solid. |
| 3- ARTICULATED STRUCTURAL ANALYSIS | Introduction. External and internal forces. Equilibrium of solid under action of two forces Axial forces: Tension and Compression Truss structures. Definition. Basic hypothesis . Types Condition Isostatic system Calculation methods truss structures Method sections or Ritter Method joints Particular load cases |
| 4- BEAMS: EXTERNAL AND INTERNAL FORCES | Introduction. Prismatic section. Beams. Types of beams. Loads. Types of loads. External and internal forces. Sign convention. Balance of a section. Axial, shear and bending moments diagrams Drawing diagrams Supported at one articulated at end beam with concentrated load Supported at one articulated at end with uniformity distributed load. Cantilever with concentrated load Cantilever with uniformity distributed load. |
| 5- ISOSTATIC BEAM RESOLUTION | Beams with any types of load Inclined beams with any types of load Beams with hinged connection and intermediate supports: Gerber beam. Broken beams |
| 6- RESOLUTION OF ISOSTATIC PORTAL FRAME | Definition. Types Method of study Portal frame supported-articulated Portal frame with cantilevers Three articulated portal frame Compound porches |
| 7- CABLE STRUCTURES | Basic hypothesis Solidification principle. Balance. Cables with concentrated loads Cables with distributed load Differential equation of a cable Parabolic cable. |
| 8- GRAVITY CENTER AND MASS CENTER | Introduction. Center parallel forces system Weight and mass. Gravity center and mass center Application to Discrete Systems and Dynamic Systems Gravity center of surface. Centroids Static moment Properties of the center of mass. Papus-Guldin theorems |
| 9-MOMENTS OF INERTIA | Introduction Moments of inertia of a particles system Product of inertia of a particles system Properties Moments and products of inertia of continuous systems Moments and products of inertia of plane systems Moments and products of inertia of surfaces and lines Distributive property Steiner theorem applied to moments of inertia Steiner theorem on products of inertia Moments of inertia of compound areas Turning radius of an area. Moment of inertia about any straight line. Rotation of Axes Principal axis of inertia Principal moments of inertia Maximum and minimum moments of inertia Mohr circle for moments and products of inertia Graphical representation of the Mohr circle |
| 10-METHOD OF VIRTUAL WORKS | Introduction Work of a system of forces on a rigid solid Definition virtual displacement. Virtual work Principle of virtual works |
| Planning | ||||
| Methodologies / tests | Competencies | Ordinary class hours | Student’s personal work hours | Total hours |
| Multiple-choice questions | A53 A56 A57 B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 C1 C2 C3 C6 | 1 | 22 | 23 |
| Objective test | A53 A56 A57 B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 C1 C2 C3 C6 | 3 | 123 | 126 |
| Personalized attention | 1 | 0 | 1 | |
| (*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. | ||||
| Methodologies |
| Methodologies | Description |
| Multiple-choice questions | A multiple choice test will assess the level of learning by the student on theoretical and practical aspects of the subject. |
| Objective test | Numerical and graphical issues will be proposed on the contents of the subject and the supporting literature will arise. It will assess the level of learning by the student around practical aspects of the subject. |
| Personalized attention |
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| Assessment | |||
| Methodologies | Competencies | Description | Qualification |
| Multiple-choice questions | A53 A56 A57 B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 C1 C2 C3 C6 | The accuracy in answering ten questions about practical and theoretical aspects with four options, of which only one is correct. Wrong answers do not subtract . His calculation of the total assessment of the subject will be two points [2ptos.] A minimum of 1 point is established in this test to pass the course, otherwise the student will be qualified as not presented, do not meet the requirements for the consideration of the objective test. | 25 |
| Objective test | A53 A56 A57 B1 B2 B3 B4 B5 B7 B11 B12 B18 B21 B24 B28 C1 C2 C3 C6 | Three problems or case studies based on the contents and bibliography are raised. Students will give numerical answer to each of them even showing the results graphically. The maximum note of this part is six points [6 pts.] The exam is individual; non-compliance with this requirement will result in his expulsion and implementation of current regulations. Mobile phones turn on, during the examination, is strictly prohibited. During the development of theoretical test, materials of any kind will not be allowed except for pens; while for the realization of the practical question, calculator and drawing materials should be used. Each problem will be answered and will qualify in a DIN A3 format. Each one will be delivered independently, written in indelible ink. The result will be given so that it is clearly visible, indicating the numeric value with precision and its corresponding units. Invalid parties must be clearly crossed out. All papers submitted, tehorical and practical test, will take written the name of the student and his group to be corrected. |
75 |
| Assessment comments | |||
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CRITERIA Approved is
CRITERIA OF |
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| Sources of information |
| Basic |
Lamas, V; Otero, Mª Dolores (2002). Cálculo de estructuras artículadas. Editorial Gráficas del Noroeste
Lamas, V; Otero, Mª Dolores (2002). Cálculo de solicitaciones en vigas isostáticas. Editorial Gráficas del Noroeste
Durá Doménech, A. – Vera Guarinos, J. (). Fundamentos Físicos de las Construcciones Arquitectónicas . Universidad de Alicante
Meriam, J.L. – Kraige, L.G (). Mecánica para Ingenieros. Estática. Editorial Reverté
Beer. F.P. & Jonhson. (). Mecánica Vectorial para Ingenieros. Estática. Ed. McGraw-Hill.
Fontán, A; Nogueira, P; Pico; J.M.; Vázquez, J.A. (2004). Precurso I. Física. Vicerrectorado de Innovación Tecnológica
Gere, James (2002). Resistencia de Materiales. Editorial Thomson |
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| Complementary |
Herrero Arnaiz – Rodríguez Cano – Vega González (). Estática: Problemas Resueltos. Editorial Reverté |
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| Recommendations | ||||||||
| Subjects that it is recommended to have taken before |
| Subjects that are recommended to be taken simultaneously | ||||||||
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| Subjects that continue the syllabus | ||
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| Other comments | |
| <p> <p class="MsoNormal">For proper monitoring of the course is the essential previous mastery of the following topics by the students:</p> <p class="MsoNormal">&nbsp;- Logical reasoning. - Calculate vector. - Unit systems. – Calculate matrix. - Geometry and trigonometry. </p> - Derivation and integration. - Solving systems of equations. </p><div> <p class="MsoNormal">All students of the subject should know, understand and know how to manage the content available on this link:</p> <p class="MsoNormal">http://etsa.udc.es/web/wp-content/uploads/2012/06/Precurso-Física.pdf</p> </div><div><br /></div> |