• Semester 2, position 4

The aim of this course is to introduce students to the concepts of stress and strain, the relevant materal properties and geometric characteristics of the cross sections. The core of this matter relates to the determination of stress and strain of an elementary loading types (axial loading, torsion, bending). The special attention is in the interpretation of the physicality of the problem, too.

By mastering the curriculum, the students receive the following skills: mastery of methods, procedures and processes of research; in-depth knowledge and understanding the concept of the strength theory; solving practical problems using scientific methods and procedures; linking basic knowledges from various fields with the aim of making it usable in practice and in various computer programs.

Theoretical instruction. Introduction. The connection between strength and deformation. The shape of the body. Geometrical properties of the cross-sections. The principal moments of inertia and the ellipse of inertia. Types of forces. The concept of stress and strain. Equilibrium conditions in the cross-section. Axial loading: terms of balance, the impact of temperature, the ideal shape. The concept of static indeterminacy. Force method. Analysis of stress and dilatation in staff cross-section. Conjugate stresses. Plane stress state. Shear. Torsion: terms of balance, angle of torsion, shear stress and dimensioning, the ideal shape, static indefinite problems. Bending: introduction, pure bending: terms of balance, resistance moment, normal stress; bending forces: shear stress, the ideal form of curved beams, standard sections; bending deformation.

Practical instruction: tasks relating to the calculation of geometrical characteristics of the cross-sections (moment of inertia); the calculation of stress and strain in primary loading of structural elements: axial loading (the effect of mechanical forces and temperature, normal stress, static notion of uncertainty, the plan shifts), torsion (shear stress, angle of torsion, dimensioning by the allowed stress and allowable angle), pure bending and bending by forces (distribution of normal stresses and shear stresses in the cross section beams, standard sections, deformation of beams with overhangs and joints). Consultation and individual work tasks in these fields.

The condition is defined by the curriculum program of the study.

1. N. Anđelić, M. Milovančević: Strength of Materials (in Serbian), University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 2019. 2. M. Milovančević, N. Andjelic, V. Milosevic Mitic, M. Dunjić, D. Ružić, R.Čukić: Tables from the strength of materials, University of Belgrade, Faculty of Mechanical Engineering, 2021. 3. A Petrović, M. Milovančević, M. Dunjić: Strength of Materials - a collection of tasks, University of Belgrade, Faculty of Mechanical Engineering, 2010.

Total assigned hours: 45

New material: 12
Elaboration and examples (recapitulation): 6

Auditory exercises: 14
Laboratory exercises: 0
Calculation tasks: 4
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 4
Test: 0
Final exam: 5

Activity during lectures: 10
Test/test: 60
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 15

N. Anđelić, M. Milovančević: ''Strength of Materials'' (in Serbian), University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 2019.; M. Milovančević, N. Andjelic, V. Milošević-Mitic, M. Dunjić, D. Ružić, R.Čukić: Strength of materials-Tables, University of Belgrade, Faculty of Mechanical Engineering, Belgrade, 2015.; A Petrović, M. Milovančević, M. Dunjić: Strength of Materials - a collection of tasks, University of Belgrade, Faculty of Mechanical Engineering, 2010.