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Engineering Graphics

Study program:
Environmental Engineering (I semester -BsC)
Mining Engineering (I semester -BsC)
Petroleum Engineering (I semester -BsC)
Name of subject: Engineering Graphics
Prof. Aleksandar Milutinović, Zoran Gojković
Status: Compulsory
Prerequisites: none
Course Objectives:
Training students for the application of engineering graphics in the design of mining objects, their graphic representation and interpretation as well as determining the spatial position and geometry of objects graphically represented in the plane and space.
Learning Outcomes:
Independent production of drawings of mining objects, application of various projections in engineering graphics of mines with surface and underground exploitation. Application of graphoanalytic methods in the interpretation of the spatial position and geometry of mining objects.

Theory teaching
Introduction. Basics of engineering graphics, importance and application in mining. Drawing formats, header, component, legend, size. Basic characteristics of graphic primitives - point, lines, polygon. Technical letter. Projections, types and application of projections in the representation of mining objects. Types and way of listing, application of position numbers. Coordinate systems in the plane and space. National Coordinate Systems, Gauss-Kriger Projection, Universal Transversal Mercator Projection. Engineering graphics in mining. Definitions, application, content and interpretation of topographic and mining maps and plans. Contents of drawings of buildings, machinery and power plants. Definitions, method of making and applying cross sections, profiles, schemes and diagrams, 3D models. Methods of displaying mining facilities and deposits of mineral raw materials. Wells, ore bodies, floors of surface mine and landfill, underground mining premises. Roads, crops, embankments, platforms, ramps, channels. Mechanisms, devices and equipment Infrastructure facilities. Mining symbols and labels. Determination of the spatial position and geometry of mining objects using graphoanalytic methods. Determine the coordinates of the points on the plan, the length, the directional and the horizontal angles, the height of the points, the surface of the figures of the correct and irregular shapes, the body volume of the correct and irregular shapes. Examples of the application of the graphoanalytic method. Digital engineering graphics. Application of computer technology in engineering graphics.

Practical teaching
Creation of orthogonal projections of an object shown in axonometry. Drawing of an object’s elevation points. Interpretation of graphic representations in mining. Development of plans and characteristic sections and profiles of mining facilities: floor, underground mining premises, platforms, ramps, roads - application of different projections for displaying mining facilities. Application of graphoanalytic methods for determining the spatial position and geometry of mining objects. Mapping of wells on topographic plan based on given coordinates and determination of geometric elements of contour formed by boreholes. Making a profile between adjacent wells. Display of the ore and roof of the ore body by isolines and calculation of volume. Creation of the axonometric drawing of a mining object given in the orthogonal projection. Application of computer technology in engineering graphics.

Suggested Reading List:
  1. Милутиновић А, 2011.: Графичка документација рудника, Рударско-геолошки факултет, Београд.
  2. Крстовић С,1999.: Рударско-инжењерска графика, Рударско-геолошки факултет, Београд.
  3. Пантелић Т, 1972.: Техничко цртање, Београд
  4. Ђуровић В, 1960.: Нацртна геометрија, Београд
  5. Милутиновић А, 2014.: Практикум из инжењерске графике, Рударско-геолошки факултет, Београд.
Conduct of the Course:
Theoretical and practical classes in the classroom.
Fund hours:
Lectures Exercises Other forms of teaching Study research
2 3 0 0
Final Exam ECTS
Written exam60

Classwork Assessment ECTS
Class Participationа10
Practical Classes30
Additional Assessment Criteria: -


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