1. Subject´s Facts
1.1. Code: YY005
1.2. Kind of subject: Basic
1.3. Duration: 2nd semester 1.4. ECTS Credits: 6
1.5. Responsible professor: David Simón Grábalos
1.6. Language: Catalan, Spanish, English
Titular Professors
Proficiency in linear drawing instruments, such as ruler, set square, triangle, compass, etc.
Basic plane geometry.
Fundamental concepts of orthogonal cylindrical projection and the dihedral system.
In descriptive geometry, parallelism, orthogonality, intersections, depth, forms, symmetries, and points of observation are examined.
In descriptive geometry, together with drawing, students are provided with tools that allow them to perceive, through visual observation, proportions, dimensions, the rhythms of light and shadow, reflections, volumes, masses, and scale.
Mastery of these tools is fundamental for the development of the architect. Once the conception of space is understood, students will proceed to analyze the representation of forms studied in the course Drawing and Representation Techniques, as well as the forms used in construction and architectural analysis.
The basic objectives of descriptive geometry are:
The methodology of graphic processes.
The spatial conception represented through projections to communicate the dimensions of space.
Graduates of our Descriptive Geometry I program acquire the knowledge and develop the skills outlined below:
Acquire the knowledge necessary to represent spatial forms on a plane, for the practice of representing the future forms of their projects.
Design and represent forms composed of planes and quadrics, their intersections, and the corresponding representation processes, in order to communicate the projects as imagined by the student and to analyze and interpret the results obtained.
Identify, formulate, and solve planar representation problems (referred to as “plans”) using the various representation systems previously studied, both individually and within a multidisciplinary team.
Understand the impact of representation on communicating imagined forms and the importance of working in a professional environment.
Apply representation techniques and tools to the conception of space.
Communicate effectively through drawing, understanding all contemporary aspects related to the representation of projects within their profession, as well as the importance of continuous professional development.
Introduction to the course and projection systems
HORIZONTAL PROJECTION SYSTEM:
Point, line, and plane
Slopes and intervals. Line of Maximum Slope (LMP). Scale
Intersection of planes. Line-plane intersection
TOPOGRAPHY:
Introduction. Landforms. Hidden parts of the terrain
Study of earth-moving volumes
Horizontal platforms. Connection between embankments and cuttings
DIEDRAL SYSTEM:
Introduction. The point. The line. The plane
Types of lines and planes
True magnitude (TM) of the element according to the view
Axonometric view or projection:
Ellipse and tangents
Construction of figures
Intersection of planes. Line-plane intersection
PRISM AND PYRAMID:
Visible contours
Plane sections
Intersection of prisms and pyramids
CONE, CYLINDER, AND SPHERE:
Visible contours
Plane sections
Intersection of cones and cylinders
The course is organized on a weekly basis with two lecture sessions.
Each session is divided into three parts: a first part dedicated to the resolution of problems completed by students at home, a second lecture part in which the instructor presents new content, and a third in which students work on new exercises to consolidate the material.
Concept manual: Basic concepts will be developed to facilitate the understanding of space, rather than meaningless lines.
Basic concepts: The essential principles for understanding representation systems.
Procedures: A practical and synthesized application of fundamental concepts. Implementation.
Basic exercises: Exercises in which the conceptual component is clearly reflected in their development, in order to clarify their application.
Practical exercises: Exercises that demonstrate the different ways the applied concept can be used.
Complementary exercises: Exercises necessary to reinforce or review previously acquired concepts.
The exercises to be completed during the course consist of three parts:
Methodological and expressive drawing of the problems.
Description of the concepts used.
Practical procedures applied.
Exams
Practical work
Depending on the academic year, these assessment methods and their weighting may be modified.
On the first day of class, the assessment methods and their assigned percentages for that year will be published on the course intranet, accessible to all enrolled students.
Les classes tindran una estructura doble:
Una primera on s´explicaran els conceptes teòrics del dia. Aquesta part teòrica intenta sintetitzar al màxim els conceptes. També es dibuixaran els conceptes bàsics amb esquemes explicatius.
La segona consistirà a resoldre problemes curts destinats a la comprensió dels conceptes. Es realitzaran a les classes, la part bàsica, per ser avaluats. I es finalitzaran els exercicis a casa. L'alumne haurà d'adquirir el quadern de pràctiques, resoldre i lliurar els exercicis que indiquin els professors. Aquests comptaran per a l´avaluació.
Objectius bàsics per l´avaluació:
· Visualitzar si és correcte el què dibuixen.
· L´estudiant ha de demostrar capacitat de dibuix i representació .
· L´estudiant ha de demostrar capacitat per entendre una forma de tres dimensions vista en dos dimensions i viceversa.
· La necessitat de comunicar bé amb la representació del dibuix la forma que l´arquitecte projecta.
· La comprovació que tècnicament representa amb exactitud la forma projectada.
· Comprovar que amb el dibuix representa l´objecte correctament.
· Les tècniques de representació avancen i s´adeqüen a les tècniques actuals.
Engel, H. (1970). Sistemas de estructuras. Blume.
González, V., López, R., & Nieto, M. (1982). Sistemas de representación. Sistema diédrico (Vol. I). Texgraf.
Izquierdo, F. (1980). Geometría descriptiva superior y aplicada (2.ª ed.). Dossat.
Izquierdo, F. (1990). Geometría descriptiva (19.ª ed.). Labor.
Reiner, T. (1981). Perspectiva y axonometría. Gustavo Gili.
Sánchez, J. A. (1993). Geometría descriptiva. Sistemes de projeccions cilíndrica. Edicions UPC.
Sánchez, J. A., et al. (1996). Curso de geometría descriptiva: 16 ejercicios del curso 1994-95 para la evaluación de los alumnos y programas lectivos. Departament EGA I, Universitat Politècnica de Catalunya.
Sánchez, J. A., & Villanueva, L. (1991). Temes clau de dibuix tècnic. Edicions UPC.
Schmidt, R. (1993). Geometría descriptiva con figuras estereoscópicas. Reverté.
Taibo, A. (1983). Geometría descriptiva y sus aplicaciones (Vols. 1–2). Tebar.
Basically, class notes.