Constructive geometry and graphics

ID: 1508
Course type: scientific and vocational
Course coordinator: Popkonstantinović D. Branislav
Lecturers: Popkonstantinović D. Branislav
Contact: Popkonstantinović D. Branislav
Level of studies: M.Sc. (graduate) Academic Studies – Mechanical Engineering
ECTS: 6
Final exam type: written
Department: Department of Theory of Mechanisms and Machines

Lectures

Goal

To renew the basics of Constructive geometry and graphics and to enrich the already existing knowledge with new material that is necessary for students of mechanical engineering, and it was not possible to cover it due to the small number of classes in undergraduate studies. For students to acquire advanced knowledge and skills of design, constructive processing and rendering of objects in three-dimensional space in all types of projections.

Outcome

Acquisition of new and advanced knowledge from various fields of constructive geometry and their application in mechanical engineering. Essential understanding of positional and metrical invariants of three-dimensional space in all types of projections. Students are trained to creatively use constructive procedures of shaping, processing and rendering of spatial forms and solve complex positional and metrical problems of three-dimensional space.

Theoretical teaching

Orthogonal projection (renewal and new teaching units within this area); Collineation and affinity; Oblique projection; orthogonal axonometry - isometry, dimetry and trimetry. Intersection of a cone and a plane (regular plane curves of the second order); rotating surfaces: ball, rotating cone and cylinder, torus and toroidal surfaces; contours of rotating surfaces, sections of rotating surfaces with applications in mechanical engineering; coil and coil surfaces; jurisdictional areas; cross-sections of round and angular straight-line surfaces with applications in mechanical engineering. Central projection, figures of infinitely distant elements - the far-off and the far-off; positional and metric invariants of central projection; linear perspective - with one, two and three views. Basics of restitution and photogrammetry.

Practical teaching

Practical teaching includes the preparation of tasks that follow all the mentioned areas from theoretical teaching.

Attendance requirement

There are no requirements to attend.

Resources

Assigned hours

Total assigned hours: 75

Active teaching (theoretical)

New material: 30
Elaboration and examples (recapitulation): 0

Active teaching (practical)

Auditory exercises: 30
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Knowledge test

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 5
Review and grading of the project: 0
Test: 5
Test: 0
Final exam: 5

Knowledge test (100 points total)

Activity during lectures: 0
Test/test: 30
Laboratory practice: 0
Calculation tasks: 30
Seminar paper: 0
Project: 0
Final exam: 40
Requirement for taking the exam (required number of points): 20

Literature

Solomon Woolf: An Elementary Course In Descriptive Geometry, Merchant Books; 3rd edition, 2007; Љ. Гагић: Нацртна геометрија, Научна књига, Београд, 1989. ; М. Јовичић: Техничка нацртна геометрија, Машински факултет, Београд, 1975.