Faculty of Technical Sciences

Subject: Topics in mechanics and theory of elasticity (17.ZRD16A)

Native organizations units: Chair of Machine Elements, Machine and Mechanism Theory and Mechanical Engineering in Agriculture
General information:
 
Category Scientific-professional
Scientific or art field Mehanika deformabilnog tela
Interdisciplinary Yes
ECTS 10
Educational goal:

Derivation and application of governing equations describing the behaviors of rigid and elastic bodies.

Educational outcome:

The acquired knowledge enables students to apply mechanical law's and analyze stress conditions and deformations in real problems.

Course content:

Investigated objects and their basic motions. Force. Momentum of force for the point (and axis), force connections. Systems of force and force connections. Basic attributes in point motion. Global and local properties of a rigid body motion. Axioms in dynamics. Amount of motion, momentum of motion amount for a selected point, kinetic energy of a material point and theorems on their motions. Basic theorems on system dynamics. Newton-Euler equation. General case of rigid body motion. Balance conditions for one and more bodies. Basics of analitical mechanics. Langrange's differential equations of the first kind. General equations of dynamics – Lagarnge-D' Alambert's variational principle. Generalized equations of statics. Generalized coordinates and velocities. General equations of dynamics in terms of generalized coordinates. Langrange's differential equations of the second kind. Canonical Hamiltnonian equations. Hamilton's variational principle. Advanced strength and elasticity theory. Stress analysis. Stress tensor. Strain analysis. Strain tensor. Hook`s law. Failure criteria.

Teaching methods:

Lectures. Mentor work.

Literature:
Authors Title Year Publisher Language
Markeev A. P. Teorijska mehanika 1989 Nauka Russian language
Ugural, A. C., Fenster, S., K., Advanced Strength and Applied Elasticity 2003 Prentice Hall English
Knowledge evaluation:
Course activity Pre-examination Obligations Number of points
Oral part of the exam No Yes 70.00
Project Yes Yes 30.00
Lecturers:

prof. dr Glavardanov Valentin

Full Professor

Lectures

prof. dr Novaković Branislava

Full Professor

Study research work

vanr. prof. dr Žigić Miodrag

Associate Professor

Study research work

prof. dr Novaković Branislava

Full Professor

Lectures

prof. dr Glavardanov Valentin

Full Professor

Study research work

vanr. prof. dr Žigić Miodrag

Associate Professor

Lectures

Faculty of Technical Sciences

© 2024. Faculty of Technical Sciences.

Contact:

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Phone:  (+381) 21 450 810
(+381) 21 6350 413

Fax : (+381) 21 458 133
Emejl: ftndean@uns.ac.rs

© 2024. Faculty of Technical Sciences.