Faculty of Civil Engineering / CONSTRUCTION / STABILITY AND DYNAMICS OF STRUCTURES

Course:

STABILITY AND DYNAMICS OF STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11890	Obavezan	1	6	3+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / THEORY OF PLATES AND SHELLS

Course:

THEORY OF PLATES AND SHELLS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11891	Obavezan	1	6	3+1+1

Programs	CONSTRUCTION
Prerequisites
Aims	To familiarize students with the basic concepts and principles of theory of plates and shells, and give them an ability to apply this knowledge on engineering applications and design problems
Learning outcomes	On successful completion of this course students will be able to: 1. Understand the theory, concepts, principles and governing equations of the theory of shells and plates, 2. Analyze thin plate structural elements and understand behavior of plates under bending and in-plane loads, 3. Understand behavior of basic shell structures in the case of membranes as well as bending theory; 4. Apply the analytical tool for the analysis of plate & shell structures and employ the results for counter-checking with other solutions.
Lecturer / Teaching assistant	Olga Mijušković - Full Professor
Methodology	Lectures, calculation exercises. Learning and individual work tasks. Consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	General behavior of plates. The fundamental assumptions of the linear, elastic, small-deflection theory of bending for thin rectangular plates. Stresses, strains and displacements. Constitutive equations. Governing differential equation for thin plate bending analysis. Boundary condition.
I week exercises	Fourier series expansion.
II week lectures	Navier’s method (double series solution). Morice-Levy’s method (single series solution). Analysis of plate strips.
II week exercises	Examples: Navier’s method (double series solution).
III week lectures	The use of influence surfaces in the design of plates. Variational formulation of plate bending problems.
III week exercises	Examples: Morice-Levy’s method (single series solution). Homework 1
IV week lectures	Circular plates, basic relation and differential equation in polar coordinates. Boundary conditions.
IV week exercises	Example: Circular plates.
V week lectures	Annular circular plates. The use of superposition for the axisymmetric analysis. Symmetrical and asymmetrical load.
V week exercises	Example: Annular circular plates. Symmetrical and asymmetrical load.
VI week lectures	The finite difference method. Application to rectangular and circular plate bending problems.
VI week exercises	Example: Modeling using the finite difference method.
VII week lectures	Plates subjected to in plane loading. Constitutive equations, Airy stress function, differential equation in Cartesian coordinate system. Boundary conditions. The finite element method for the plates under in plane loads.
VII week exercises	Example: Plates subjected to in plane loading. Homework 2
VIII week lectures	Walls. Differential equation for the plates subjected to in plane loads in polar coordinates. Examples.
VIII week exercises	Example: Problems of the plates subjected to in plane loads in polar coordinates. FIRST TEST
IX week lectures	Introduction in to general shell theory. Membrane theory of shells of revolution. Spherical, cylindrical and conical shell.
IX week exercises	Example: Symmetrically loaded shells of revolution.
X week lectures	Bending theory of circular cylindrical shells with rotational symmetrical loading. Governing differential equation and solutions for characteristic rotational symmetrical loading.
X week exercises	Example: Bending theory of cylindrical shells with rotational symmetrical loading.
XI week lectures	General theory of shells in the form of surface of revolution loaded symmetrically with respect to their axis.
XI week exercises	Example: Solutions for characteristic load types.
XII week lectures	Spherical shell of constant thickness. Spherical shell with a supporting edge ring.
XII week exercises	Example: Spherical shell. Ring beam.
XIII week lectures	Complex plate and shell constructions.
XIII week exercises	Example: Complex plate and shell constructions.
XIV week lectures	Plate and shells structures – basic modeling.
XIV week exercises	Plate and shells structures – basic modeling.
XV week lectures	TEST 2
XV week exercises	TEST 2

Student workload	Weekly 5.5 credits x 40/30 = 7 hours and 20 min. Structure: Lectures: 3 hours Tutorials: 2 hours Individual work including consultations: 2 hours and 20 min During the semester Teaching and final exam: (7 hours and 20 min) x 16 = 117 h 20 min Necessary preparations: Before start of the semester (administration, registration) 2x(7 hours and 20 min) = 14 hours and 40 min. Total course hours : 5.5 x 30 = 165 hours Additional hours: 33 hours Structure of workload: (117 hours and 20 min - lectures) + (14 hours andi 40 min - preparation) + (33 hours – additional hours) = 165 hours
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	All students are normally required to attend all learning and teaching sessions associated with the programme of study and fulfill all requested course assignments (homework, tests, and exams).
Consultations
Literature	Venstel E., Krauthammer T.: Thin Plates and Shells, Marcel Dekker, New York, 2001 Nikola Hajdin:Teorije površinskih nosača – ploče napregnute na savijanje, ploče napregnute u svojoj ravni, Naučna knjiga, Beograd, 1989, Nikola Hajdin:Teorije površinskih nosača – Ljuske, Naučna knjiga, Beograd, 1989
Examination methods	- Regular attendance - max 2 points - Homework – 2 x 9 = 18 points - Tests - 2 x 25 = 50 points - Final exam - max 30 points
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / DESIGN AND CONSTRUCTION OF STEEL STRUCTURES

Course:

DESIGN AND CONSTRUCTION OF STEEL STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11892	Obavezan	1	4	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / DESIGN AND CONSTRUCTION OF CONCRETE STRUCTURES

Course:

DESIGN AND CONSTRUCTION OF CONCRETE STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11893	Obavezan	1	6	3+1+1

Programs	CONSTRUCTION
Prerequisites	Does not have
Aims	Acquiring knowledge about the principles of design and construction of concrete building structures, transfer of actions, basics of calculation and construction, precast structures, seismic resistance, strengthening and rehabilitation of damaged buildings and the possibilities of applying concrete structures in building construction.
Learning outcomes	After passing this exam, the student will be able to: 1. describe the basic elements and systems of reinforced concrete structures of high-rise buildings; 2. analyze and calculate the internal forces of typical actions on RC structures; 3. compares and chooses optimal systems of RC structures for design, construction and rehabilitation; 4. proposes and designs concrete solutions for RC structures of high-rise buildings.
Lecturer / Teaching assistant	Assist. Prof. Dr. Nikola Baša - teacher; MSc Jovan Furtula - assistant;
Methodology	Lectures, exercises, consultations, site visits, independent work

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Getting to know the content of the course, the work plan and the method of testing knowledge. Design of industrial halls. Introduction. Design technology of industrial halls. Dispositional resolution of the construction of the object.
I week exercises	Design of an industrial assembly hall. Explanation of the task. Basic instructions for making.
II week lectures	Design of industrial halls. Design and calculation of the main girders of the hall.
II week exercises	Design of an industrial assembly hall. Dispositional solution of the construction of the hall.
III week lectures	Design of industrial halls. Basics of seismic design of halls. Designing columns and bracing.
III week exercises	Design of an industrial assembly hall. Dispositional solution of structure. Tour of an industrial RC assembly hall.
IV week lectures	Precast reinforced concrete structures. Introduction. Industrialization in construction. Designing assembly systems and elements.
IV week exercises	Design of an industrial assembly hall. Designing elements of the roof of the hall - roof coverings and cornices.
V week lectures	Precast reinforced concrete structures. Design and calculation of connections of line RC elements.
V week exercises	Design of an industrial assembly hall. Designing the elements of the roof of the hall - the main lattice girders.
VI week lectures	Precast reinforced concrete structures. Design and calculation of connections of line RC elements.
VI week exercises	Design of an industrial assembly hall. Designing the elements of the roof of the hall - the main elastically supported girders.
VII week lectures	Precast reinforced concrete structures. Large-panel mounting systems. Design and calculation of connections of area RC elements.
VII week exercises	Preparation for the 1st colloquium - preparation of assignments.
VIII week lectures	The first colloquium. Knowledge check from the material presented in the first part of the semester.
VIII week exercises	Visit to the construction site of a construction facility.
IX week lectures	Presentation and analysis of the results of the 1st colloquium. Precast reinforced concrete structures. Design and calculation of connections of area RC elements.
IX week exercises	Design of an industrial assembly hall. Designing the elements of the hall - crane path.
X week lectures	Rehabilitation and strengthening of reinforced concrete structures. Causes of damage to AB structures. Assessment (snapshot) of the existing construction condition. Damage classification, general principles of repair and strengthening. Strengthening of RC elements by changing the cross-section.
X week exercises	Design of an industrial assembly hall. Designing the elements of the hall - semi-precast floor structure.
XI week lectures	Rehabilitation and strengthening of reinforced concrete structures. Strengthening of RC elements by changing the static system.
XI week exercises	Design of an industrial assembly hall. Designing elements of the hall - columns and stiffeners.
XII week lectures	Rehabilitation and strengthening of reinforced concrete structures. Application of fiber-reinforced polymers in the rehabilitation and strengthening of RC structures.
XII week exercises	Design of an industrial assembly hall. Design of hall elements - seismic calculation and foundations.
XIII week lectures	Rehabilitation of structures of buildings damaged by the earthquake. General about seismic safety of buildings. Principles and procedures of rehabilitation and strengthening.
XIII week exercises	Design of an industrial assembly hall. Review and assistance in the development of the project.
XIV week lectures	Design of an industrial assembly hall. Final acceptance and evaluation of the project. The student defends the individual conceptual design of the hall.
XIV week exercises	Design of an industrial assembly hall. Final acceptance and evaluation of the project. Preparation for the II colloquium - preparation of assignments.
XV week lectures	Second colloquium. Verification of knowledge of precast RC structures and the basics of RC structure repair.
XV week exercises	Second colloquium. Verification of knowledge of precast RC structures and the basics of RC structure repair.

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 3 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 0 minuts x 16 =128 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 0 minuts x 2 =16 hour(s) i 0 minuts Total workload for the subject: 6 x 30=180 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 36 hour(s) i 0 minuts Workload structure: 128 hour(s) i 0 minuts (cources), 16 hour(s) i 0 minuts (preparation), 36 hour(s) i 0 minuts (additional work)
Student obligations	Regular and active attendance at lectures and exercises and monitoring the development of the design with dynamics and quality.
Consultations	Regular consultations during the week lasting 4 hours.
Literature	1. Petrović, M.: MONTAŽNE ARMIRANOBETONSKE KONSTRUKCIJE, Izgradnja - specijalno izdanje, Beograd, 1981. 2. Aćić, M., Ulićević, M., Janković, S.: PROJEKTOVANJE SEIZMIČKI OTPORNIH ZGRADA OD ARMIRANOG BETONA (I i II), Građevinski kalendar 1998 i 1999, SGITJ, Beograd, 1997., 1998. 3. Radosavljević, Ž., Bajić, D.: ARMIRANI BETON, knjiga 3, Građevinska knjiga, Beograd, 1988. 4. Buđevac, D.: ČELIČNE KONSTRUKCIJE ZGRADA, Građevinska knjiga, Beograd, 1992.
Examination methods	The students work in lectures and exercises is evaluated according to quality, knowledge and commitment. Each colloquium is scored from 0 to 100 points (%). A student can take the final exam on the condition that he has a positively graded conceptual project. The total grade is formed as a weighted success from the colloquium and the final exam. If the project is evaluated with a higher grade than the overall grade, the student finally receives one grade more.
Special remarks	If necessary, lectures and exercises can be organized in English.
Comment	Additional information about the course can be obtained from the subject teacher and assistant, the head of the study program and the vice dean for teaching.

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / COMPOSITE STRUCTURES

Course:

COMPOSITE STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11894	Obavezan	1	4	2+1+0

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 2 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / PRESTRESSED CONCRETE STRUCTURES

Course:

PRESTRESSED CONCRETE STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11895	Obavezan	1	4	2+1+1

Programs	CONSTRUCTION
Prerequisites	No
Aims	Acquiring knowledge in the field of reinforced concrete structures with the application of prestressing.
Learning outcomes	After passing this exam, the student will be able to: 1. See the role of prestressing in reinforced concrete structures and recognize the need to apply prestressing in the considered constructive solutions. 2. Applies structural analysis procedures and calculates impacts, including impacts from prestressing. 3. Performs calculations of prestressed elements and structures and defines the details of the prestressing procedure. 4. Select and control the application of the prestressing system.
Lecturer / Teaching assistant	Prof. dr Radmila Sinđić Grebović, grad.civ.eng. Mr Jovan Furtula, grad. civ.eng.
Methodology	Lectures, calculus exercises. Learning and independent creation of tasks. Consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction - Principles of prestressing and basic concepts. Materials.
I week exercises	Introductory explanations, basic material properties, and examples.
II week lectures	Effects of prestressing in statically indeterminate systems. Choice of cable shape. Linear transformations.
II week exercises	Equivalent load from prestressing - examples. Determination of cable routing and prestressing force.
III week lectures	Choice of cable route shape. Linear transformations.
III week exercises	Calculating the effect of prestressing in statically indeterminate supports - examples.
IV week lectures	Prestressing force losses.
IV week exercises	Calculating of prestressing force losses - examples.
V week lectures	Cross-sectional analysis under working load – Prestressing by centric and eccentric pressure force.
V week exercises	Calculating of prestressing force - examples.
VI week lectures	Prestressed structures design - Stresses in concrete and steel - Minimum section properties.
VI week exercises	Example of design. Making an independent assignment.
VII week lectures	Design of prestressed structures. Prestressing force. Calculating the cable zone.
VII week exercises	Making an independent assignment.
VIII week lectures	Ultimate limit state of prestressed elements. Ultimate moment calculation.
VIII week exercises	Making an independent assignment.
IX week lectures	Ultimate limit state of prestressed elements. Application of simplified working diagrams.
IX week exercises	Making an independent assignment.
X week lectures	Limit states of bearing capacity - Partial prestressing. Limit state of bearing due to transverse forces.
X week exercises	Making an independent assignment.
XI week lectures	Limit states of serviceability. Stresses limitation. Crack control. Deflection control.
XI week exercises	Making an independent assignment.
XII week lectures	Application of the prestressing force. Cable anchoring zone.
XII week exercises	Making an independent assignment.
XIII week lectures	Colloquium
XIII week exercises	Colloquium
XIV week lectures	Presentation of an independent assignment.
XIV week exercises	Presentation of an independent assignment.
XV week lectures	Final exam.
XV week exercises	Final exam.

Student workload
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 5 hour(s) i 20 minuts x 16 =85 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 5 hour(s) i 20 minuts x 2 =10 hour(s) i 40 minuts Total workload for the subject: 4 x 30=120 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 24 hour(s) i 0 minuts Workload structure: 85 hour(s) i 20 minuts (cources), 10 hour(s) i 40 minuts (preparation), 24 hour(s) i 0 minuts (additional work)
Student obligations	Students must attend classes and exercises, working individually tasks, and take all colloquia and final exams.
Consultations
Literature	Mosley B., Bungey J., Hulse R., Reinforced Concrete Design to Eurocode 2, sixth edition, 2007, Palgrave, Macmillan Hurst M.K., Prestressed Concrete Design, Taylor & Francis e-Library, 2003
Examination methods	- Class attendance and activity - up to 8 points (min 95% - 8 points; min 90%-6 points; min 85% - 4 points; min 80% - 2 points) - Independent annual work - max 10 points - Colloquium - max 32 points - Final exam - max 20 points (written) - max 30 points (oral)
Special remarks	No
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / APPLICATION OF FEM FOR CALCULATIONS OF STRUCTURES

Course:

APPLICATION OF FEM FOR CALCULATIONS OF STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11896	Obavezan	2	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims	Acquiring basic knowledge of the application of FEM for the calculation of structures
Learning outcomes	After passing this exam the student will be able to: 1. Understands basic matrix relations and basic equations of linear theory of elasticity, 2. Understands the basics of finite element method theory, 3. Understands terms: discretization, nodal unknowns, finite elements, interpolation functions, 4. Acquainted with the application of the finite element method and the choice of finite elements and interpolation functions depending on the engineering problem (plane load, bending of slabs, three-dimensional problem, shells, etc.), as well as application in structural dynamics, 5. Implements at least one finite element software (SAP, Tower, ANSYS, etc.)
Lecturer / Teaching assistant	PhD Marina Rakočević - professor MSc Vasilije Bojović - teaching assistant
Methodology	Lectures, practise, elaborate, consultations, additional classes and consultations before the final exam, tasks, seminar paper, colloquia, final exams.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Historical development of FEM. Fundamentals on which FEM is based. Different models of FEM-bases.
I week exercises	2D problems - state of stress and deformation, finite elements. Stiffness matrices.
II week lectures	Analysis of FE, interpolation functions, stiffness matrix, geometric-static meaning.
II week exercises	2D problems - an example for seminar task no. 1. – part 1.
III week lectures	Equations of the FE system. Boundary conditions. Accuracy and convergence of solutions.
III week exercises	2D problems – an example for seminar task no. 1. – part 2.
IV week lectures	Two-dimensional problems. In plane state of stress and strain, axis-symmetry.
IV week exercises	2D problems – individual practices.
V week lectures	Triangular finite elements. Stiffness matrices and equivalent load vector.
V week exercises	Plates loaded in bending - example – part 1.
VI week lectures	Rectangular finite elements. Isoparametric elements. Stiffness matrices and equivalent load vector.
VI week exercises	Plates loaded in bending - example – part 2.
VII week lectures	Three-dimensional problems, forms of FE, interpolation functions.
VII week exercises	Application of computer programs based on FEM. SAP – general.
VIII week lectures	Three-dimensional problems of symmetry.
VIII week exercises	General about SAP software.
IX week lectures	Plate bending in the finite element method.
IX week exercises	SAP – examples.
X week lectures	Force method models and hybrid models. Models according to Reissner-Midlin theory.
X week exercises	SAP – examples.
XI week lectures	Thin shells. About models and elements for discretization. Triangular FE. Symmetric FE.
XI week exercises	General about TOWER software.
XII week lectures	Finite element method in structural dynamics. Introduction to nonlinear analysis.
XII week exercises	TOWER – examples.
XIII week lectures	COLLOQUIUM 1
XIII week exercises	TOWER – examples.
XIV week lectures	CORRECTIVE COLLOQUIUM 1
XIV week exercises	Individual practices in the computer cabinet - seminar assignment no. 2.
XV week lectures	Presentation of seminar paper. (Colloquium 2).
XV week exercises	Presentation of seminar paper. (Colloquium 2).

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Attendance at lectures and practices, making elaborate and seminary work, making assignments, taking a colloquium and final exam.
Consultations	According to the agreement with the students
Literature	M.Sekulović, Metod konačnih elemenata, GK Beograd; K.J.Bathe, Finite element procedures in engineering analysis; Vuksanović, Pujević,Teorija savijanja ploča; Carlos A. Felippa, Introduction to finite element methods, Department of Aerospace Engineering Sciences and Center for Aerospace Structures University of Colorado; V.P.Agrapov, Metod konačnih elemenata u statici, dinamici i stabilnosti konstrukcija
Examination methods	- Seminary paper (task 1 and task 2) max 30,0 points - Final exam (first part-colloquium 1) max 38,0 points (second part-colloquium 2) max 32,0 points
Special remarks	More detailed explanations about the method of grading and the obligations of students: • It is necessary to reach a minimum of 40% of each knowledge test given in this information (learning outcomes), • At the final exam (colloquiums), candidates take the theoretical part of the exam [colloquium 1: 8+10+20=38 points; colloquium 2: defense of task 2, which amounts a total of 10p (prepared presentation)+10p (explanations)+12p (answers to questions)], • The use of literature is not allowed on the theoretical part of the exam, • Candidates do not take the written part of the exam, but are obliged to submit in paper format (seminar paper containing two tasks) and publicly defend task 2 - colloquium 2. • The second part - colloquium 2 contains: task 2 of the seminar paper (if the paper format is submitted beforehand) is presented orally with a video presentation, after which the candidate answers the questions. Scoring is done in accordance with this information, and the following are evaluated: the quality of the prepared presentation (from 4 to 10 points), the explanations accompanying the presentation (from 4 to 10 points) and answers to questions (from 4.8 to 12 points). Seminar work - task 2 can also be done in groups (in depending on the scope of the task) where each member of the group is obliged to actively participate in the preparation and presentation of the work. The use of literature and mobile devices during the knowledge test (colloquia 1) is not allowed. If the student uses illegal means, he/she will be banned from the knowledge test and disciplinary proceedings will be initiated.
Comment	Additional information about the subject can be obtained from the course lecturer, teaching assistant, head of the study program and vice dean.

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / MODELLING IN STRUCTURAL DESIGN

Course:

MODELLING IN STRUCTURAL DESIGN/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11897	Obavezan	2	5	2+0+2

Programs	CONSTRUCTION
Prerequisites	No prerequisites
Aims	Training for independent modeling of building structures in available software packages.
Learning outcomes	After passing this exam, the student will be able to: 1. Define a design construction model 2. Generate an appropriate numerical model using available software, 3. Interpret and control the obtained results 4. Implement the calculation and results in the appropriate documentation.
Lecturer / Teaching assistant	Prof. dr Milivoje Rogač, Mr Ivana Drobnjak
Methodology	Lectures, exercises, colloquiums.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Learning about the available software packages
I week exercises	Learning about the available software packages
II week lectures	Types of finite elements (1D, 2D, 3D)
II week exercises	Types of implemented finite elements (1D, 2D, 3D)
III week lectures	2D frame modeling, importing geometry of elements, materials and loads. Analysis of results
III week exercises	2D frame modeling, importing geometry data of elements, materials and loads. Analysis of results
IV week lectures	Shear walls modeling, importing geometry data, materials and loads. Analysis of results
IV week exercises	Shear walls modeling, importing geometry data, materials and loads. Analysis of results
V week lectures	Modeling of 3D structures, importing data for geometry, materials and loads. Analysis of results
V week exercises	Modeling of 3D structures, importing data for geometry, materials and loads. Analysis of results
VI week lectures	Modeling of more complex 3D constructions (mixed system). Analysis of results
VI week exercises	Modeling of more complex 3D constructions (mixed system). Analysis of results
VII week lectures	Modeling of more complex 3D constructions (shells). Analysis of results
VII week exercises	Modeling of more complex 3D constructions (shells). Analysis of results
VIII week lectures	FIRST COLLOQUIUM
VIII week exercises	FIRST COLLOQUIUM
IX week lectures	Moving load. Influence lines. Envelopes of influence.
IX week exercises	Moving load. Influence lines. Envelopes of influence.
X week lectures	Modal analysis (periods, frequencies, forms of oscillation)
X week exercises	Modal analysis (periods, frequencies, forms of oscillation)
XI week lectures	Dynamic load. Forced harmonic force.
XI week exercises	Dynamic load. Forced harmonic force.
XII week lectures	Earthquake effect on structures.
XII week exercises	Earthquake effect on structures.
XIII week lectures	Basis of dimensioning of steel and concrete structures.
XIII week exercises	Basis of dimensioning of steel and concrete structures.
XIV week lectures	Creating an output file with results
XIV week exercises	Creating an output file with results
XV week lectures	CORRECTION COLLOQUIUM
XV week exercises	CORRECTION COLLOQUIUM

Student workload	Weekly: 5 credits x 40/30 = 6.67 hours
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Attending lectures and exercises, passing the colloquium
Consultations
Literature	Basic literature: 1. Lecture script 2. Instructions for using the available software
Examination methods	Knowledge is checked continuously during the semester and at the final exam. A student can earn a maximum of 100 points during the semester. The following are evaluated: - Class attendance: up to 4 (for each absence from class, 1 point is deducted) - Colloquium: up to 48 - Final exam: up to 48 A minimum sufficient number of points and a maximum number of points are given. The colloquium and the final exam are done in writing. A passing grade is obtained if 50 points are collected and if at least 24 points are obtained in both the colloquium and the final exam.
Special remarks
Comment	Additional information about the subject can be obtained from the subject teacher, associate, head of the study program and vice dean for teaching.

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / TUNNELS AND UNDERGROUND STRUCTURES

Course:

TUNNELS AND UNDERGROUND STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11898	Obavezan	2	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / STRUCTURAL TESTING AND INVESTIGATIONS

Course:

STRUCTURAL TESTING AND INVESTIGATIONS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11899	Obavezan	2	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / SEISMIC DESIGN

Course:

SEISMIC DESIGN/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11900	Obavezan	2	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / ENGINEERING STEEL STRUCTURES

Course:

ENGINEERING STEEL STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11901	Obavezan	2	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / ENGINEERING CONCRETE STRUCTURES

Course:

ENGINEERING CONCRETE STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11902	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites	Does not have
Aims	Acquiring knowledge about the principles of design and construction of concrete structures of engineering facilities, transfer of actions, basics of calculation and construction and possibilities of application of concrete structures.
Learning outcomes	After passing this exam, the student will be able to: 1. describe the basic elements and systems of reinforced concrete structures of engineering facilities; 2. analyze and calculate the internal forces of typical actions on RC structures of engineering objects;; 3. compares and chooses optimal systems of RC structures for design, construction and rehabilitation; 4. proposes and designs concrete solutions for RC structures of engineering facilities.
Lecturer / Teaching assistant	Assist. Prof. Dr. Nikola Baša - teacher;
Methodology	Lectures, exercises, consultations, site visits, independent work

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Water tanks. Function, hygiene conditions, classification, types and purpose, determination of capacity, height and depth. Construction characteristics. Rectangular bases, monolithic and semi-assembled tanks. Dispositional solutions. Loads and stresses. Computational modeling. Dimensioning and reinforcement.
I week exercises	Conceptual design of the engineering facility. Explanation of the task. Dispositional solution of the structure of the object.
II week lectures	Tanks. Circular bases. Loads and stresses. Computational modeling. Dimensioning and reinforcement. Crack problems. Application of prestressing. Funding conditions. Construction systems. Assembly connections at hydrotechnical facilities. Execution and technical conditions for concrete. Test charging.
II week exercises	Conceptual design of the engineering facility. Explanation of the task. Dispositional solution of the structure of the object.
III week lectures	Water towers. Role in the water supply system. Shaping. Hydrotechnical, architectural and structural aspects. Dispositional solutions. Basic shapes. Stesses and calculation. Funding conditions. Construction systems. Execution and technical conditions for concrete. Test charging.
III week exercises	Tour of an engineering facility.
IV week lectures	Bunkers and silos. Basic characteristics of the bunker. Shaping. Bunker loading, calculation and dimensioning. Purpose and characteristics of silos. Dispositional solutions and cell design.
IV week exercises	Conceptual design of the engineering facility. Design and calculation of the main elements. Review of individual work and assistance in project development.
V week lectures	Bunkers and silos. Load from stored material. Dependence on the type of discharge. Jensen-Kenan theory. Research by Kim. Factors that increase the load. Calculation characteristics. Computational modeling. Stresses states. Reinforcement details. Performance technologies. Application of sliding and portable formwork.
V week exercises	Conceptual design of the engineering facility. Design and calculation of the main elements. Review of individual work and assistance in project development.
VI week lectures	Reinforced concrete shells. Definitions and field of application. Construction characteristics. Advantages and disadvantages. Characteristics of stresses states. Disorders of the membrane state. Shell types and applications. Design, dimensioning and principles of reinforcement. Connections with edge elements. Technologies and technical conditions for performance.
VI week exercises	Conceptual design of the engineering facility. Design and calculation of the main elements. Review of individual work and assistance in project development.
VII week lectures	Hanging roof structures. Construction characteristics. Field of application. Advantages and disadvantages. Basics of determining static forces. Chainrings on rectangular and circular bases. Acceptance of horizontal forces from sprockets. Wind influence. Hanging structures with rigid and flexible covers. Calming of deformations. Construction systems.
VII week exercises	Conceptual design of the engineering facility. Design and calculation of the main elements. Review of individual work and assistance in project development.
VIII week lectures	The first colloquium. Knowledge check from the basics of designing engineering facilities - first part.
VIII week exercises	Visit to the construction site of an engineering facility.
IX week lectures	Presentation and analysis of the results of the 1st colloquium. Cooling towers. Purpose and technological process. Construction characteristics. About shape and dimensions. Design of casing, columns and foundations. Shell calculation and stresses states. Wind load. Distribution by volume and height. Temperature influences. Earthquake action. Execution and technical conditions for concrete.
IX week exercises	Conceptual design of the engineering facility. Design and calculation of the main elements. Review of individual work and assistance in project development.
X week lectures	Industrial chimneys. Purpose and technological process. Construction characteristics. About shape and dimensions. Calculation model. Wind load and impacts according to the second-order theory. Response to earthquake action. The whiplash effect. Funding solution. Execution.
X week exercises	Conceptual design of the engineering facility. Design and calculation of the main elements. Review of individual work and assistance in project development.
XI week lectures	Telecommunication towers. Purpose and technological process. Construction characteristics. About shape and dimensions. Calculation model. Wind load and impacts according to the second-order theory. Response to earthquake action. The whiplash effect. Funding solution. Execution.
XI week exercises	Conceptual design of the engineering facility. Design and calculation of the main elements. Review of individual work and assistance in project development.
XII week lectures	Visit to the construction site of an engineering facility. Review of individual work and assistance in project development.
XII week exercises	Conceptual design of the engineering facility. Design and calculation of the main elements. Review of individual work and assistance in project development.
XIII week lectures	Second colloquium. Knowledge check from the basics of designing engineering facilities - second part.
XIII week exercises	Conceptual design of the engineering facility. Design and calculation of the main elements. Review of individual work and assistance in project development.
XIV week lectures	Presentation and analysis of the results of the II colloquium. Final acceptance and evaluation of the conceptual project.
XIV week exercises	Conceptual design of the engineering facility. Final acceptance and evaluation of the conceptual project.
XV week lectures	The student defends the individual conceptual project of the engineering facility. Presentation of work in MS PowerPoint.
XV week exercises	The student defends the individual conceptual project of the engineering facility. Presentation of work in MS PowerPoint.

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend lectures and exercises and to successfully complete the planned tasks of the project within the deadline.
Consultations	Regular consultations during the week lasting 4 hours.
Literature	Basic literature 1. Sahnovski, K.V.: ARMIRANOBETONSKE KONSTRUKCIJE, Građevinska knjiga, Beograd, 1962. 2. Radosavljević, Ž., Bajić, D.: ARMIRANI BETON, knjiga 3, Građevinska knjiga, 1988. 3. Jerotijević, M.: SILOSI, Izgradnja 5/81 - separat, Beograd, 1981. 4. Fuke, P., Buši, A.: REZERVOARI ZA VODU, Građevinska knjiga, Beograd, 1972. Supplementary literature 1. Baikov, N.V.: ŽELEZOBETONII KONSTRUKCII, Stroizdat, Moskva, 1981. 2. Leonhart, F.: PREDNAPREGNUTI BETON U PRAKSI, Građevinska knjiga, Beograd, 1968. 3. Ulicki, I.I. i dr.: ARMIRANOBETONSKE KONSTRUKCIJE, Građevinska knjiga, Beograd, 1977. Technical regulations 1. Eurocode 1 - EN 1991-1 Action on Structures 2. Pravilnik o tehničkim normativima za izgradnju inženjerskih objekata u seizmičkim područjima, 1986. (nacrt) 3. Eurocode 8 - EN 1998-1 Design of structures for earthquake resistance
Examination methods	The students work in lectures and exercises is evaluated according to quality, knowledge and effort. At the end of the semester, the student defends the individual conceptual design of the engineering facility in the form of a public presentation. The conceptual project is evaluated according to the accuracy, level and quality of technical processing, knowledge and commitment of the student during the exercises. The student must have a positively evaluated conceptual project during the exercises. Each colloquium is scored from 0 to 100 points (%). A student can take the final exam on the condition that he has a positively graded conceptual project. The total grade is formed as a weighted success from the colloquium and the final exam. If the preliminary project is evaluated with a higher grade than the overall grade, the student finally receives one grade more.
Special remarks	If necessary, lectures and exercises can be organized in English.
Comment	Additional information about the course can be obtained from the subject teacher and assistant, the head of the study program and the vice dean for teaching.

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / CONCRETE BRIDGES

Course:

CONCRETE BRIDGES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11903	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites	Course is not conditioned.
Aims	Through this subject, knowledge is acquired in the field of designing and building concrete bridges
Learning outcomes	After passing the course, the student can: 1. independently prepare the disposition of the concrete bridge 2.recognize different bridge construction technologies 3.perform a numerical load analysis and create a computational model of a girder bridge 4. Design bridge elements of the bridge 5. Examines the problems of bridge durability and maintenance
Lecturer / Teaching assistant	Assist. Professor Nina Serdar
Methodology	Lectures, exercises, consultations and independent work.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Historical development of construction, general concepts and definitions related to concrete bridges.
I week exercises	Description of the method of preparation of semester work. Bridge plans.
II week lectures	Bridge project - levels of design. Contents of the bridge construction project. Criteria for evaluation of variant solutions.
II week exercises	Work on bridge plans.
III week lectures	Loads of road bridges Part I
III week exercises	Sructural design - Load analysis - Part I
IV week lectures	Loads of road bridges Part II
IV week exercises	Sructural design - Load analysis - Part II
V week lectures	Actions during bridge construction. Traffic loads of railway bridges.
V week exercises	Bridge modelling
VI week lectures	Basics of design. ULS and SLS
VI week exercises	Bridge modelling
VII week lectures	Design, structural details and execution of bridge deck : plate, ribed and box cross-sections
VII week exercises	Bridge modelling
VIII week lectures	Prestressing of concrete bridges.
VIII week exercises	Design calculation: deck
IX week lectures	Seismic design of concrete bridges.
IX week exercises	Design calculation: deck - prestressing
X week lectures	Design structural details and execution of columns and abutments
X week exercises	Design calculation: columns and foundation
XI week lectures	BoQ
XI week exercises	Design calculation: abutments, expansion joints and bearings
XII week lectures	Causes of bridge collapse. Maintenance of concrete bridges and management system. Reconstruction of bridges.
XII week exercises	Test
XIII week lectures	Construction technology of execution for concrete bridges (method of fixed, portable and mobile scaffolding, incremental launching)
XIII week exercises	BoQ
XIV week lectures	Construction technology of execution for concrete bridges (prefabricated structures, segmental bridges, construction of arched bridges)
XIV week exercises	Students assignments check
XV week lectures	Interactive class and work in groups.
XV week exercises	Supplementary class.

Student workload	Weekly 5 credits x 40/30 = 6.67 hours Structure: 2 hours of lectures 2 hours of computational exercises 2.67 hours of independent work, including consultations
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Students are required to attend classes (lectures and exercises), take colloquiums and do semester work independently.
Consultations	Assit. Prof. dr Nina Serdar room 122
Literature	B.Pavićević; »Mostovi«, autor M. Pržulj; Tehničke smjernice za javne ceste – objekti na cestama Slovenije – SODOC, »Konstruiranje mostova«, »Mostovi«-Jure Radić
Examination methods	Semester work max 15 points - Colloquium max 25 points - Final exam max 60 points - A passing grade is obtained if at least 50 points are collected.
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / DESIGN OF SEISMIC RESISTANT RC CONSTRUCTIONS

Course:

DESIGN OF SEISMIC RESISTANT RC CONSTRUCTIONS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11904	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / DESIGN AND CONSTRUCTION OF MASONRY STRUCTURES

Course:

DESIGN AND CONSTRUCTION OF MASONRY STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11905	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / MAINTENANCE, REPAIR AND RECONSTRUCTION OF OBJECTS

Course:

MAINTENANCE, REPAIR AND RECONSTRUCTION OF OBJECTS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11906	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites	No conditionality
Aims	Acquiring knowledge in the field of maintenance, rehabilitation and strengthening of structures. Introducing students to the needs for rehabilitation, maintenance and strengthening of structures, basic causes of damage, principles, techniques and methods of rehabilitation, strengthening and maintenance of structures, as well as with design of strengthening and upgrading of structural elements.
Learning outcomes	The ability of students to independently apply the acquired knowledge in the rehabilitation, strengthening and maintenance of structures. Students are trained to independently perform designing of strengthening and rehabilitation of structural elements. Also, students are trained to give an assessment of the structures and suggest the necessary maintenance measures.
Lecturer / Teaching assistant	Assist. professor Jelena Pejovic
Methodology	Lectures, exercises, semester works, practical teaching, field teaching, colloquium

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction and definitions of the maintenance, rehabilitation and strengthening of structures. Reasons that lead to the need for rehabilitation, strengthening and maintenance of structures. Causes and forms of structures damage. Examples of damaged structures.
I week exercises
II week lectures	Classification of damage and causes - fires, earthquakes, explosions, overloads, uneven settlement, moisture, biological influences, chemical influences, mechanical influences. Methods and techniques of damage identification and quantification.
II week exercises
III week lectures	Basic concepts of durability and reliability. Design service life. Types of limit states from the aspect of durability.Design according to service life. Condition assessment.
III week exercises
IV week lectures	Maintenance of structures and infrastructure - importance, basic concepts and principles. Maintenance design. Assessment and monitoring of the buildings and bridges.
IV week exercises
V week lectures	Strengthening and rehabilitation of RC structures. Structural upgrading of RC frame elements subjected to bending and shear. Structural upgrading of RC wall and plate elements. Strengthening of the RC structure by modification of static system or loads state. Strengthening and rehabilitation by prestressing.
V week exercises
VI week lectures	Materials for strengthening. Strengthening using FRP (Fiber-reinforced polymer) materials.
VI week exercises
VII week lectures	Rehabilitation and strengthening of masonry structures. Methods, materials and techniques of rehabilitation, structural upgrading and strengthening. Rehabilitation and protection of cultural heritage structures.
VII week exercises
VIII week lectures	Rehabilitation and strengthening of steel, composite and timber structures. Methods, materials and techniques of rehabilitation,strengthening and structural upgrading.
VIII week exercises
IX week lectures	Rehabilitation and strengthening of bridges. Methods, materials and techniques of rehabilitation, strengthening and structural upgrading.
IX week exercises
X week lectures	Seismic assessment of existing buildings.Rehabilitation and structural strengthening of existing buildings in order to reduce the seismic vulnerability of the built environment.
X week exercises
XI week lectures	Rehabilitation and strengthening of structures on roads. Methods, materials and techniques of rehabilitation, strengthening and retroffiting.
XI week exercises
XII week lectures	Rehabilitation and strengthening of hydrotechnical structures. Methods, materials and techniques of rehabilitation, strengthening and retroffiting.
XII week exercises
XIII week lectures	Rehabilitation and strengthening of underground structures. Methods, materials and techniques of rehabilitation, strengthening and retroffiting.
XIII week exercises
XIV week lectures	New and innovative approaches to rehabilitation and strengthening. Development of new materials for rehabilitation and strengthening. Trends and perspectives.
XIV week exercises
XV week lectures	COLLOQUIUM
XV week exercises

Student workload	Weekly 5 credits x 40/30 = 6.67 hours Structure: 2 hours of lectures 2 hours of exercises 2.67 hours of independent work, including consultation
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Attending lectures and exercises, working on semester works, passing the colloquium.
Consultations
Literature	Basic literature: 1. Jure Radić i suradnici: Betonske konstrukcije – sanacije, Hrvatska sveučilišna naklada, Građevinski fakultet sveućilišta u Zagrebu, Zagreb, 2010. 2. Jure Radić, Trajnost konstrukcija 1, Hrvatska sveučilišna naklada, Jadring, Građevinski fakultet sveućilišta u Zagrebu, 2010. 3. Zemljoresno inženjerstvo: Dio 7. Ojačanja i Sanacija zgrada oštećenih zemljotresom; rekonstrukcije i adaptacije neoštećenih zgrada, Grupa autora Aničić, Fajfar, Petrović, Tomažević i dr., DIP „Građevinska knjiga“, Beograd, 1990 4. Milenko Pržulj: Mostovi, Udruženje „Izgradnja”, Beograd 2014. Additional literature and provissions: 1. Lawrence C. Bank: Composites for construction: Structural Design with FRP Materials, John Wiley & Sons, Inc., 2006. 2. Scripts and slides from lectures 3. Eurocode 8-3 EN 1998-3: Design of structures for earthquake resistance - Part 3: Assessment and retrofitting of buildings. 4. Eurocode 8-1 EN 1998-1: Design of structures for earthquake resistance - Part 1. 5. Task Group 9.3, Externally bonded FRP reinforcement for RC structures fib CEB-FIP Bulletin 14 Swizerland,2001
Examination methods	Knowledge is checked during the semester and at the final exam. A student can earn a maximum of 60 points during the semester. A maximum of 40 points can be obtained on the final exam. The following is evaluated: Preparation and defense of the semester works (max. 20 points); Colloquium (max 40 points, min 20 points); Final exam (max 40 points, min 20 points). A passing grade is obtained if 50 points are collected
Special remarks
Comment	Additional information about the subject can be obtained from the subject teacher, associate, head of the study program and vice dean for teaching.

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / NONLINEAR ANALYSIS OF STRUCTURES

Course:

NONLINEAR ANALYSIS OF STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11907	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / STEEL AND COMPOSITE BRIDGES

Course:

STEEL AND COMPOSITE BRIDGES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11910	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / SEISMIC DESIGN OF STEEL STRUCTURES

Course:

SEISMIC DESIGN OF STEEL STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11911	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / DESIGN AND CONSTRUCTION OF COMPOSITE STRUCTURES

Course:

DESIGN AND CONSTRUCTION OF COMPOSITE STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11912	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / DESIGN AND CONSTRUCTION OF TIMBER STRUCTURES

Course:

DESIGN AND CONSTRUCTION OF TIMBER STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11913	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / MAINTENANCE, REPAIR AND RECONSTRUCTION OF OBJECTS

Course:

MAINTENANCE, REPAIR AND RECONSTRUCTION OF OBJECTS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11914	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / NONLINEAR ANALYSIS OF STRUCTURES

Course:

NONLINEAR ANALYSIS OF STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11915	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / UNDERGROUND STRUCTURES

Course:

UNDERGROUND STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11918	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / SLOPES STABILITY AND LANDSLIDE REHABILITATION

Course:

SLOPES STABILITY AND LANDSLIDE REHABILITATION/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11919	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / SOIL AND ROCKS MECHANICS

Course:

SOIL AND ROCKS MECHANICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11920	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / SOIL DYNAMICS

Course:

SOIL DYNAMICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11921	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / ENGINEERING GEOLOGY

Course:

ENGINEERING GEOLOGY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11922	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites	None.
Aims	This Subject enables acqusition of basic information in fields of engineering geology.
Learning outcomes	After having passed the exam, students will be able to: 1. Explain engeneering-geologial terms ; 2. Explain phases of engeneering-geologial investigations; 3. Create engeneering-geologial sections; 4. Understand engeneering-geologial maps; 5. Understand engeneering-geologial projects; 6. Understand engeneering-geologial reports.
Lecturer / Teaching assistant	Prof. Dr Milan Radulović - lecturer
Methodology	Lectures, exercises, consultation, fieldwork.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Igneous, sedimentary and metamorphic rocks.
I week exercises	Identification of rocks.
II week lectures	Tectonics. Geological, hydrogeological and engineering geological maps (adapted to the study program CONSTRUCTIONS).
II week exercises	Geological and hydrogeological maps.
III week lectures	Engineering-geological types of rocks. Geological and engineering-geological characteristics of Montenegro (adapted to the study program CONSTRUCTIONS).
III week exercises	Engineering-geological maps.
IV week lectures	Methodology of engineering-geological ground investigation for the residential building.
IV week exercises	Engineering-geological section according to drilling data.
V week lectures	Engineering-geoloical processes (landslides, escarpments).
V week exercises	Engineering-geoloical section over a landslide.
VI week lectures	Investigations of landslides.
VI week exercises	Elements of a landslide.
VII week lectures	Technical measures to improve properties of a ground: compaction, piles, anchors, injection, drainage.
VII week exercises	Plate loading test.
VIII week lectures	I Test, I Colloquium.
VIII week exercises	I Test, I Colloquium.
IX week lectures	Engineering-geological conditions for construction of settlements.
IX week exercises	An example of engineering-geological report for the construction of residential building.
X week lectures	Engineering-geological conditions for tunnels.
X week exercises	RMR classification.
XI week lectures	Engineering-geological conditions for construction of bridges and dams.
XI week exercises	Engineering-geological section for a bridge construction.
XII week lectures	Investigation of geological building material deposits.
XII week exercises	Engineering-geological section over a deposit and reserves assessment.
XIII week lectures	Eurocode 7 - Geotechnical design, Part 2: Ground investigation and testing
XIII week exercises	Finalisation of graphic works.
XIV week lectures	Field visit.
XIV week exercises	Field visit.
XV week lectures	II Test, II Colloquium.
XV week exercises	II Test, II Colloquium.

Student workload	Weekly Lectures: 3.5 credits x 40/30 = 4h 40min Total workload for the Subject 3.5x30 = 105h
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Attendance of lectures and exercises, homework and testing.
Consultations	Monday 11.00-13.00
Literature	Mićko Radulović, Basic Geology, Textbook (2003), University of Montenegro; Mićko Radulović, Engeneering Geology, Script (2003), University of Montenegro.
Examination methods	- Attendance to lectures and exercises: max 5 pt; - Graphic works: max 5 pt; - Tests: max 20 pt; - Colloquiums: max 40 pt; - Final exam: max 30 pt; - Pass requires minimum 50 pt.
Special remarks
Comment	Further information about the Subject can be required from the lecturer, assistant, head of the study program and vice dean of academic affairs.

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / IMPROVEMENT OF SOIL AND ROCKS

Course:

IMPROVEMENT OF SOIL AND ROCKS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11923	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / ELASTIC-PLASTIC ANALYSIS OF STRUCTURES

Course:

ELASTIC-PLASTIC ANALYSIS OF STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11929	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / ELASTIC-PLASTIC ANALYSIS OF STRUCTURES

Course:

ELASTIC-PLASTIC ANALYSIS OF STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11929	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / NONLINEAR ANALYSIS OF STRUCTURES

Course:

NONLINEAR ANALYSIS OF STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11930	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / DYNAMICS OF STRUCTURES - SPECIAL CHAPTERS

Course:

DYNAMICS OF STRUCTURES - SPECIAL CHAPTERS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11931	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / NONLINEAR MODELLING

Course:

NONLINEAR MODELLING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11932	Obavezan	3	5	2+0+2

Programs	CONSTRUCTION
Prerequisites	No
Aims	Acquaintance of students with the procedures of non-linear modeling of linear structures as well as with the importance of checking and controlling the obtained results.
Learning outcomes	After passing this exam, the student will be able to: 1. Model a given engineering structure 2. Include and analyzes certain types of non-linearity 3. Controls and interprets the obtained results
Lecturer / Teaching assistant	Prof. dr Milivoje Rogač
Methodology	Lectures, exercises, homework, final exam.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Available software and capabilities for nonlinear analysis.
I week exercises	Introduction. Available software and capabilities for nonlinear analysis.
II week lectures	Modeling of the selected structure and its behavior during linear static analysis.
II week exercises	Modeling of the selected structure and its behavior during linear static analysis.
III week lectures	An upgrade of the basic model for nonlinear static analysis.
III week exercises	An upgrade of the basic model for nonlinear static analysis.
IV week lectures	Presentation of the P-δ calculation algorithm. Application of available software in P-δ analysis.
IV week exercises	Presentation of the P-δ calculation algorithm. Application of available software in P-δ analysis.
V week lectures	Presentation of the P-Δ calculation algorithm. Application of available software in P-Δ analysis.
V week exercises	Presentation of the P-Δ calculation algorithm. Application of available software in P-Δ analysis.
VI week lectures	Analysis of the influence of geometric imperfections on simple examples.
VI week exercises	Analysis of the influence of geometric imperfections on simple examples.
VII week lectures	Homework presentation
VII week exercises	Homework presentation
VIII week lectures	Material nonlinearities. Available software capabilities.
VIII week exercises	Material nonlinearities. Available software capabilities.
IX week lectures	Ultimate resistances.
IX week exercises	Ultimate resistances.
X week lectures	Pushover analysis.
X week exercises	Pushover analysis.
XI week lectures	Methods of linear dynamic analysis.
XI week exercises	Methods of linear dynamic analysis.
XII week lectures	Methods of nonlinear dynamic analysis.
XII week exercises	Methods of nonlinear dynamic analysis.
XIII week lectures	Nonlinear behavior of structures under earthquake action.
XIII week exercises	Nonlinear behavior of structures under earthquake action.
XIV week lectures	A recap. Pointing out the potential problems and differences that different ways of modeling structures can lead to. Importance of control of results.
XIV week exercises	A recap. Pointing out the potential problems and differences that different ways of modeling structures can lead to. Importance of control of results.
XV week lectures	Homework presentation
XV week exercises	Homework presentation

Student workload	During the semester Classes and final exam: (6.67 hours) x 16 = 106.67 hours Necessary preparations before the beginning of the semester (administration, registration, certification) 2 x (6.67 hours) = 13.33 hours Total workload for the course 5x30 = 150 hours Supplementary work for exam preparation in the remedial exam period, including passing remedial exam from 0 to 30 hours (remaining time from the first two items to the total workload for the course 150 hours) Load structure: 106.67 hours (Teaching)+13.33 hours (Preparation)+30 hours (Supplementary work) ​
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 2 sat(a) practical classes 0 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations	Attending lectures and exercises, doing homework, taking the final exam.
Consultations	Monday 12-14 Wednesday 12-14
Literature	1. Chopra : Dynamics Of Structures-Theory And Applications To Earthquake Engineering, Prentice hall, 1995 2. Wriggers P.:.Nonlinear finite elemet methods, Springer, 2008 3. Softwara documentation
Examination methods	Attendance 5 Homeworks 5x5 Final exam 70
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / SEISMIC DESIGN OF STEEL STRUCTURES

Course:

SEISMIC DESIGN OF STEEL STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11933	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points

Faculty of Civil Engineering / CONSTRUCTION / DESIGN OF SEISMIC RESISTANT RC CONSTRUCTIONS

Course:

DESIGN OF SEISMIC RESISTANT RC CONSTRUCTIONS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
11934	Obavezan	3	5	2+1+1

Programs	CONSTRUCTION
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures
I week exercises
II week lectures
II week exercises
III week lectures
III week exercises
IV week lectures
IV week exercises
V week lectures
V week exercises
VI week lectures
VI week exercises
VII week lectures
VII week exercises
VIII week lectures
VIII week exercises
IX week lectures
IX week exercises
X week lectures
X week exercises
XI week lectures
XI week exercises
XII week lectures
XII week exercises
XIII week lectures
XIII week exercises
XIV week lectures
XIV week exercises
XV week lectures
XV week exercises

Student workload
Per week	Per semester
5 credits x 40/30=6 hours and 40 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 40 minuts x 16 =106 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 40 minuts x 2 =13 hour(s) i 20 minuts Total workload for the subject: 5 x 30=150 hour(s) Additional work for exam preparation in the preparing exam period, including taking the remedial exam from 0 to 30 hours (remaining time from the first two items to the total load for the item) 30 hour(s) i 0 minuts Workload structure: 106 hour(s) i 40 minuts (cources), 13 hour(s) i 20 minuts (preparation), 30 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature
Examination methods
Special remarks
Comment

Grade:	F	E	D	C	B	A
Number of points	less than 50 points	greater than or equal to 50 points and less than 60 points	greater than or equal to 60 points and less than 70 points	greater than or equal to 70 points and less than 80 points	greater than or equal to 80 points and less than 90 points	greater than or equal to 90 points