ID: 1484
Course type: scientific and vocational
Course coordinator: Balać M. Igor
Lecturers: Anđelić M. Nina, Balać M. Igor, Buljak V. Vladimir, Milošević-Mitić O. Vesna, Petrović S. Ana
Contact: Balać M. Igor
Level of studies: B.Sc. (undergraduate) Academic Studies – Mechanical Engineering
ECTS: 6
Final exam type: written+oral
Department: Department of Strength of Structures
The aim of this course is to introduce students to some complex loadings. The bending of the statically indeterminate beams, as well as torsion and buckling of an arbitrary cross sections are considering. Course shows the method of determining the equivalent stresses in a complex spatial loading of structures, that students later can use the computer programs based on Finite Element Method-FEM.
Mastering the program contemplated by this course, students acquire next skills: mastering of methods, procedures and processes of research in this field; application the knowledge in this practice; thorough knowledge and understanding of the discipline; solving practical problems using scientific and technical methods and procedures; the possibility of the proper use of computer programs based on Finite Element Method-FEM.
The stability of compressed beams- buckling. Statically indeterminate beams. Decomposition method. Deformation energy: the concept, a general term, additional work. Theorem of reciprocity. Castigliano’s theorems. Maxwell-Mohre integrals and Verescagin’s procedure. Statically indeterminate problems. Canonical equation. Force method. Symmetric planar structures. Analysis of stress and strain. Volumetric strain. Hypotheses about the fracture of the material. Calculation of the structure complex stress. Bending in two plains: the concept, stress, strain. Shear center. Excentric axial force load.
The tasks of buckling. Еxamples of statically indeterminate beams. Determination of displacements for statically determined plane beam-constructions on bending load. Application of deformation energy and Castigliano’s theorem. Application of the force method for the solution of statically indeterminate problems (external static indefinite beams, symmetrical and closed structures). Calculation of torsional characteristics of various cross-sections. Application of the hypothesis: general considerations, the maximal normal stress, the maximal shear stress and the maximal specific deformation energy of the shape changes. Complex loads constructions - circular and prismatic cross-section, thin-walled cross-sections, standard sections. Consultations and individual work tasks. Laboratory exercise.
The condition is defined by the curriculum program of the study.
1.Tables of Strength of Materials: D. Ruzic, R. Cukic, M. Dunjić, M. Milovančević, N. Andjelic, V. Milosevic Mitic 2.Handouts
Total assigned hours: 75
New material: 20
Elaboration and examples (recapitulation): 10
Auditory exercises: 20
Laboratory exercises: 5
Calculation tasks: 5
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: 10
Test: 0
Final exam: 5
Activity during lectures: 10
Test/test: 40
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 50
Requirement for taking the exam (required number of points): 0
"Fundamentals of Strength of constructions", Andjelic, Milosevic-Mitic, Milovancevic, MF BGD, 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.; Handouts, 2023.