Introduce the students in solving of practical tasks in mechanical engineering. Teach students to understand components of mechanical systems, their functions, applications and variants of design solutions. Mastering the methods for calculation of operational safety, calculation of service life, and carrying capacity and also mastering the basics principles for machine elements design. Introduce the students to apply standards and other regulations in calculations and design of machine elements. Computer modeling.

After successful completion of this course, students should be able to: • Recognize machine elements. • Use of tolerance of dimensions, shape and position, and surface roughness. • Perform basic calculations of strength of mechanical parts. • Dimension and strength calculation of shafts and axles. • To determine the active forces attacking the shaft. • Select types of rolling and sliding bearings, calculate load capacity and design of installation. • Design and basic calculation of threaded joints. • To determine the power flow (transformation) and calculate the performance of the power transmissions. • To perform basic calculation of gear pairs. • Tо calculate the load capacity and service life of belt and chain transmission pairs • To recognize the types and choose the couplings. • To recognize the types of springs and perform their basic calculation.

Machine elements: definition and classification. Linear size dimensions tolerance. Machine parts form, orientation, location and run out tolerances. Surface roughness tolerance. Stress concentration and critical (ultimate) stresses of machine parts. Types of machine part failures, fatigue and dynamic strength (endurance limit). Safety factor, design available stress, caring capacity of machine part. Failure of machine part surfaces, service stress and critical stress in machine part surface layer. Shafts, axles and pins: function, design forms, application. Shaft and axle loads, stresses, dynamic strength (endurance limits) and safety factor. Shaft stiffness. Shaft and hub connections: friction connections, key connections, spline connections. Rolling and sliding bearings (the function, application, loads, destruction and bearing installation). Thread and bolted threaded connections: the function, characteristics, classification. Screw bolted joints: longitudinally and transversely loaded (characteristics, classification, loading, clamping, strain, safety factors). Power transmissions (types, operating characteristics, power flow). Types and basic calculation of gear pairs. Couplings. Springs (types and basic calculation). Belt and Chain power transmissions. Springs (types and basic calculation).

Selection of linear size dimension tolerance. Analysis of clearance, interference and uncertain fits. Determination and calculation of stress concentration factors. Determination of machine parts dynamic strength (endurance). Calculation of safety factors of machine part. Load scheme of the shaft identification. Loads and stresses of the shaft calculation. Determining of shaft dimensions and safety factor. Calculation of the shaft and hub connections. Determine of rolling bearing caring capacity and service life. The selection and building in of rolling bearings. Calculation of thread joints, the selection of joint type and calculation. Gear making. Processing of project task, instructions for processing, monitoring and discussion with the students. Computer modeling.

Defined by studies curricula.

Books (available in Faculty bookstore and library): - M. Ognjanović.: Machine elements, Faculty of Mechanical Engineering, Belgrade 2008, 2011,2013, 2014; - S Veriga.: Machine elements (volumes I and II) , Faculty of Mechanical Engineering,Belgrade; - Plavsic N., M Ristivojević., R Mitrovic., B Rosić., Jankovic M., P Obradovic.: Machine elements - a manual for the exercises - Faculty of Mechanical Engineering Belgrade 2006.; - Plavsic N., M Ristivojević., R Mitrovic., B Rosić., Jankovic M., P Obradovic.: Machine elements - collection of solved test tasks - Faculty of Mechanical Engineering Belgrade 2016. Handouts available on the web site or reproduced on paper: - Lectures, questions and tasks for colloquiums, - Guidelines for project tasks. Video presentation: - Simulation of mechanical elements operation, - Video presentation machine parts production and measurement, - Display of design solutions. Laboratories of Machine design Department: - Display show of machine elements, parts and components, - Demonstration of machine elements testing, - Simulation of machine parts operation and production, - 3D printing.

Total assigned hours: 90

New material: 37
Elaboration and examples (recapitulation): 8

Auditory exercises: 20
Laboratory exercises: 2
Calculation tasks: 7
Seminar paper: 0
Project: 6
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 1
Review and grading of lab reports: 1
Review and grading of seminar papers: 0
Review and grading of the project: 1
Test: 6
Test: 0
Final exam: 1

Activity during lectures: 5
Test/test: 30
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 15
Final exam: 50
Requirement for taking the exam (required number of points): 25

Ognjanovic, М.: Machine elements, - Faculty of Mechanical Engineering, 4. Edition, Belgrade 2020.; Stamenić Z: Handouts of lectures, 2024; Plavsic N., M Ristivojević., R Mitrovic., B Rosić., Jankovic M., P Obradovic.: Machine elements - a manual for the exercises - Faculty of Mechanical Engineering Belgrade 2006.; Plavsic N., M Ristivojević., R Mitrovic., B Rosić., Jankovic M., P Obradovic.: Machine elements - collection of solved test tasks - Faculty of Mechanical Engineering Belgrade 2016.; Decker : Machinenelemente - Cartl Hanser Verlag, Munchen.