The purpose of this course is that students understand and learn the basics concepts of the mechanic of materials and strength of constructions. The aim of the course is to acquaint students with the concepts of stress and strain, as well as with the geometric characteristics of the cross section. The core of this matter refers to the determination of stress and strain at all basic and some types of complex loadings. Statically indeterminate problems are also considered. The method of calculation the equivalent stresses in complex loaded structures is presented, so that students can later use computer programs based on the Finite Element Method - FEM. Special attention is paid to the interpretation of the physicality of the problem with the aim of applying software in mechanical engineering, that students can practically use the acquired knowledge from previous courses (programming and the basics of algorithm theory).

By mastering the study program of this course, the student acquires the following abilities: understanding the concepts of strength theory; modeling and solving specific problems using software packages; defining algorithmic calculations for the considered types of loadings; connecting basic knowledge from different fields with the aim of further application in practice. The student will be prepared to listen Finite Element Theory, and will be able to properly use computer programs based on the Finite Element Method.

1. Introduction. Geometrical characteristics of cross-sections. The concept of stress and deformation. Equilibrium conditions in cross section. 2. Axial loading. 3. Torsion loading: equilibrium conditions, torsion angle, shear stress, dimensioning of several types of cross-sections. 4. Bending: equilibrium conditions, normal stress, shear stress, deformations. Shear center. 5. Stability of pressed rods - buckling. 6. Deformation work. Energy methods. Statically indeterminate problems. Canonical equations of the Force Method. 7. Plane stress state. Stress and strain analysis. Hypothesis of material failure. Complex loaded constructions.

Calculation of geometrical characteristics of cross sections; calculation of stress and strain at basic loads of structural elements: axial loading (influence of mechanical forces and temperature, displacement plan), torsion (stress, torsion angle, dimensioning), bending (stress distribution along the cross section of the beam, standard profiles, deformations of beams with overhangs and joints). Buckling. Application of energy methods. Application of Force method on statically indeterminate problems. Hypothesis. Complex structural loads. Consultations and creatings of calculations from these areas.

Set by the Curriculum of the study program

Handouts from the website of the Department for Strength of the constructions

Total assigned hours: 75

New material: 30
Elaboration and examples (recapitulation): 15

Auditory exercises: 15
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 3
Review and grading of lab reports: 0
Review and grading of seminar papers: 3
Review and grading of the project: 0
Test: 4
Test: 0
Final exam: 5

Activity during lectures: 0
Test/test: 50
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 10
Project: 0
Final exam: 40
Requirement for taking the exam (required number of points): 35

Milovančević M., Andjelić N., Strength of materials, (in Serbian) Faculty of Mechanical Engineering, Belgrade, 2006, ISBN 86-7083-579-7 ; Andjelić N., Milošević-Mitić V., Milovančević M., Basics of strength of constructions, (in Serbian) Faculty of Mechanical Engineering, Belgrade, 2019, ISBN 978-86-6060-031-0; Strength of materials - Tables, Faculty of Mechanical Engineering, Belgrade, 2021, ISBN 978-86-6060-083-9; Petrović A., Milovančević M., Dunjić M., Strength of materials Workbook, (in Serbian) Faculty of Mechanical Engineering, Belgrade, 2022, ISBN 978-86-6060-074-7