Faculty of Civil Engineering / CIVIL ENGINEERING / PHYSICS

Course:

PHYSICS/

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

Programs	CIVIL ENGINEERING
Prerequisites
Aims	Get insight into basic acoustic, thermal, electromagnetic, optical and nuclear phenomena and processes; developing the ability to apply knowledge in practice.
Learning outcomes
Lecturer / Teaching assistant	Nevenka Antović / Marija Daković
Methodology	Lectures, exercises, homework, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Physical quantities and units. Wave motion. Sound characteristics; resonance.
I week exercises	Introduction. Physical quantities and units. Wave motion. Sound characteristics; resonance.
II week lectures	Doppler effect. Ultra and infrasound. Room acoustics. Measurement of sound, levels, protection. Thermophysics – introduction.
II week exercises	Doppler effect. Ultra and infrasound. Room acoustics. Measurement of sound, levels, protection. Thermophysics – introduction.
III week lectures	Temperature; heat. Thermal stress. Heat transfer; thermal insulation.
III week exercises	Temperature; heat. Thermal stress. Heat transfer; thermal insulation.
IV week lectures	Kinetic theory of gases – basic eqs. Ideal gas, equation of state, processes and laws.
IV week exercises	Kinetic theory of gases – basic eqs. Ideal gas, equation of state, processes and laws.
V week lectures	Diffusion; Real gas. Introduction to Thermodynamics. The principles of Thermodynamics.
V week exercises	Diffusion; Real gas. Introduction to Thermodynamics. The principles of Thermodynamics.
VI week lectures	Midterm exam – I
VI week exercises	Midterm exam – I
VII week lectures	The Carnot cycle; Clausius inequality; Entropy. Humidity, fire, climate – basic terms, protection.
VII week exercises	The Carnot cycle; Clausius inequality; Entropy. Humidity, fire, climate – basic terms, protection.
VIII week lectures	Electrostatics – basic laws. Electric field, potential, voltage. Capacitors.
VIII week exercises	Electrostatics – basic laws. Electric field, potential, voltage. Capacitors.
IX week lectures	Electric current. Ohm's law and Kirchhoff's rules. Joule's law. Electrolytes. Electrical properties of materials.
IX week exercises	Electric current. Ohm's law and Kirchhoff's rules. Joule's law. Electrolytes. Electrical properties of materials.
X week lectures	Electromagnetism – basic laws and forces; flux. Electromagnetic induction; self- (and mutual) inductance.
X week exercises	Electromagnetism – basic laws and forces; flux. Electromagnetic induction; self- (and mutual) inductance.
XI week lectures	Introduction to Optics – light. Geometric Optics, basic laws. Mirrors and lenses.
XI week exercises	Introduction to Optics – light. Geometric Optics, basic laws. Mirrors and lenses.
XII week lectures	Interference, diffraction and polarization of light. Daylight and artificial light.
XII week exercises	Interference, diffraction and polarization of light. Daylight and artificial light.
XIII week lectures	Midterm exam – II
XIII week exercises	Midterm exam – II
XIV week lectures	Introduction to Nuclear Physics – characteristics of the atomic nucleus, radioactivity. Basics of radiation detection and dosimetry; control.
XIV week exercises	Introduction to Nuclear Physics – characteristics of the atomic nucleus, radioactivity. Basics of radiation detection and dosimetry; control.
XV week lectures	Radioactivity of building materials; regulations and standards.
XV week exercises	Radioactivity of building materials; regulations and standards.

Student workload	3.5 credits x 40/30 = 4 hours and 40 min per week. Total: 3.5 x 30 = 105 hours.
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	N. Antović: Tehnička fizika – skripta za studente Gradjevinskog fakulteta, Pogorica, 2006; J. Janjić, I. Bikit, N. Cindro: Opšti kurs fizike, Naučna knjiga, Beograd, 1984; G. Dimić, M. Mitrinović: Zbirka zadataka iz fizike (kurs D), Naša knjiga, Beograd,
Examination methods	Regular attendance: 4 points; homework: 4 x 1 point (4 points); midterms: 2 x 21 points (42 points); final exam: 50 points. The required number of points to pass the exam: 51.
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 / CIVIL ENGINEERING / PHYSICS

Course:

PHYSICS/

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

Programs	CIVIL ENGINEERING
Prerequisites
Aims	Get insight into basic acoustic, thermal, electromagnetic, optical and nuclear phenomena and processes; developing the ability to apply knowledge in practice.
Learning outcomes
Lecturer / Teaching assistant	Nevenka Antović / Marija Daković
Methodology	Lectures, exercises, homework, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Physical quantities and units. Wave motion. Sound characteristics; resonance.
I week exercises	Introduction. Physical quantities and units. Wave motion. Sound characteristics; resonance.
II week lectures	Doppler effect. Ultra and infrasound. Room acoustics. Measurement of sound, levels, protection. Thermophysics – introduction.
II week exercises	Doppler effect. Ultra and infrasound. Room acoustics. Measurement of sound, levels, protection. Thermophysics – introduction.
III week lectures	Temperature; heat. Thermal stress. Heat transfer; thermal insulation.
III week exercises	Temperature; heat. Thermal stress. Heat transfer; thermal insulation.
IV week lectures	Kinetic theory of gases – basic eqs. Ideal gas, equation of state, processes and laws.
IV week exercises	Kinetic theory of gases – basic eqs. Ideal gas, equation of state, processes and laws.
V week lectures	Diffusion; Real gas. Introduction to Thermodynamics. The principles of Thermodynamics.
V week exercises	Diffusion; Real gas. Introduction to Thermodynamics. The principles of Thermodynamics.
VI week lectures	Midterm exam – I
VI week exercises	Midterm exam – I
VII week lectures	The Carnot cycle; Clausius inequality; Entropy. Humidity, fire, climate – basic terms, protection.
VII week exercises	The Carnot cycle; Clausius inequality; Entropy. Humidity, fire, climate – basic terms, protection.
VIII week lectures	Electrostatics – basic laws. Electric field, potential, voltage. Capacitors.
VIII week exercises	Electrostatics – basic laws. Electric field, potential, voltage. Capacitors.
IX week lectures	Electric current. Ohm's law and Kirchhoff's rules. Joule's law. Electrolytes. Electrical properties of materials.
IX week exercises	Electric current. Ohm's law and Kirchhoff's rules. Joule's law. Electrolytes. Electrical properties of materials.
X week lectures	Electromagnetism – basic laws and forces; flux. Electromagnetic induction; self- (and mutual) inductance.
X week exercises	Electromagnetism – basic laws and forces; flux. Electromagnetic induction; self- (and mutual) inductance.
XI week lectures	Introduction to Optics – light. Geometric Optics, basic laws. Mirrors and lenses.
XI week exercises	Introduction to Optics – light. Geometric Optics, basic laws. Mirrors and lenses.
XII week lectures	Interference, diffraction and polarization of light. Daylight and artificial light.
XII week exercises	Interference, diffraction and polarization of light. Daylight and artificial light.
XIII week lectures	Midterm exam – II
XIII week exercises	Midterm exam – II
XIV week lectures	Introduction to Nuclear Physics – characteristics of the atomic nucleus, radioactivity. Basics of radiation detection and dosimetry; control.
XIV week exercises	Introduction to Nuclear Physics – characteristics of the atomic nucleus, radioactivity. Basics of radiation detection and dosimetry; control.
XV week lectures	Radioactivity of building materials; regulations and standards.
XV week exercises	Radioactivity of building materials; regulations and standards.

Student workload	3.5 credits x 40/30 = 4 hours and 40 min per week. Total: 3.5 x 30 = 105 hours.
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	N. Antović: Tehnička fizika – skripta za studente Gradjevinskog fakulteta, Pogorica, 2006; J. Janjić, I. Bikit, N. Cindro: Opšti kurs fizike, Naučna knjiga, Beograd, 1984; G. Dimić, M. Mitrinović: Zbirka zadataka iz fizike (kurs D), Naša knjiga, Beograd,
Examination methods	Regular attendance: 4 points; homework: 4 x 1 point (4 points); midterms: 2 x 21 points (42 points); final exam: 50 points. The required number of points to pass the exam: 51.
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 / CIVIL ENGINEERING / GEODESY

Course:

GEODESY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
175	Obavezan	2	6	2+1+1

Programs	CIVIL ENGINEERING
Prerequisites	No conditionality.
Aims	Through this course, students get familiar with topographic maps as a basis on which to design different buildings.
Learning outcomes	After passing this exam student will be able to: 1. Know methods of designing the earths surface on projection plane. 2. Know methods and instruments for making topographic map. 3. Demand special conditions of content and accuracy of topographic map. 4. Know the method of use of topographic map in designing buildings. 5. Know methods of transferring project on field and making the project of marking. 6. Contract and control production of topographic map and transferring the project on field. 7. Understand the method of production and maintaining of the real estate cadastre as a unique property record of ownership.
Lecturer / Teaching assistant	Đurović Radovan, PhD, MSc.geod.eng. Associate Professor
Methodology	Lectures, exercises, demonstrations for working with maps, topographic maps and instruments. Studying and doing homework. Consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Division of geodesy into scientific and practical part. Domains of geodesy. Historical development. The shape and dimensions of the planet Earth. Topographic base, basic features, method of production and use. Geographic coordinates and angular units. Projection plane and types of projections.
I week exercises	Calculations with scales. Rounding rules.
II week lectures	Gauss – Krieger projection. National coordinate system. Division of the projection plane into sheets R 1:5000, R 1:2500, R 1:1000 and R 1:500. Applying and reading coordinates of points from plan sheets using a decimeter grid. UTM projection.
II week exercises	Division of the projection plane into sheets R 1:5000, R 1:2500, R 1:1000 and R 1:500.
III week lectures	Orientation of length in space and in the projection plane. Azimuth. Directional angle. Special cases of calculating the direction angle. Characteristics and differences of azimuth and direction angle. Local coordinate system.
III week exercises	Directional angle. Special cases of calculating the direction angle.
IV week lectures	Definition of an angle in a plane. Measuring units of angles and their mutual relations. Angle measurement with a protractor. Basic characteristics of instruments and auxiliary equipment for measuring angles. Development of instruments for measuring angles. Preparation of the instrument for the angle measurement procedure. Methods for measuring angles.
IV week exercises	Measuring units of angles and their mutual relations.
V week lectures	Definition of length and meter. Direct measurement of lengths. Optical measurement of lengths. Electromagnetic measurement of lengths. Determination of lengths and angles from the auxiliary triangle - triangulation. Calculating length from point coordinates.
V week exercises	Determination of lengths and angles from the auxiliary triangle - triangulation. Calculating length from point coordinates.
VI week lectures	I COLLOQUIUM
VI week exercises	I COLLOQUIUM
VII week lectures	Geodetic survey, state survey. The basic principles of terrain surveying for the creation of topographic bases. Trigonometric network. Polygon and line network.
VII week exercises	The basic principles of terrain surveying for the creation of topographic bases.
VIII week lectures	Survey methods. Polar method. Photogrammetric method. GNSS method. Drones. LIDAR method. Satellite images. Radar survey of terrain.
VIII week exercises	Calculation of coordinates using data obtained by the polar method.
IX week lectures	Definitions of height, height difference and tide gauge. Leveling network. Leveling division. Accessories for geometric leveling. Measurement of height differences using the geometric leveling method. Division of geometric leveling into general and detailed leveling. Trigonometric level.
IX week exercises	Calculations of height differences in geometric and trigonometric leveling.
X week lectures	Production of the topographic base. Topographic key. Vertical representation of the terrain. Interpolation of isohypsies. Digital Terrain Model. Geodetic bases (cadastral, topographic, cadastral-topographic and orthophoto plans).
X week exercises	Practical work with topographic maps in digital form. Topographic signs.
XI week lectures	Geodetic marking - "transferring the project" to the field. Height (1D) marking. Polar marking method. GPS marking method. Marking accuracy.
XI week exercises	Calculation of elements for marking by the polar method.
XII week lectures	Concept and principles of real estate cadastre. Cadastral territorial units and building parcel. Real estate cadastre in Montenegro. Creation of the real estate cadastre. Content of the real estate cadastre. Maintenance of the real estate cadastre. Issuance of data and entries in the real estate cadastre. Cadastre of installations. Application of geodesy in urban infrastructure projects. The role of geodetic foundations in spatial planning projects.
XII week exercises	Insight in the real estate, introduction to the website of the Real Estate, immovable property certificates.
XIII week lectures	II COLLOQUIUM
XIII week exercises	II COLLOQUIUM
XIV week lectures	Organization of the performance of geodetic works by polar, GNSS, aerophotogrammetric and leveling methods with the analysis of the norms of the day.
XIV week exercises	Organization of the performance of geodetic works by polar, GNSS, aerophotogrammetric and leveling methods with the analysis of the norms of the day.
XV week lectures	Work with geodetic instruments, examples from practice.
XV week exercises	Work with geodetic instruments, examples from practice.

Student workload	6 ECTS credits
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 4 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	Lectures, material from the website of the Faculty of Civil Engineering (http://ucg.ac.me/gf) - Geodesy - basic studies. M. Čvorović, Geodes in Civil Engineering I part, Unireks Nikšić 1992. Mihailović K. , Vračarić K., Geodesy 1, Naučna knjiga, Beograd 1988. Website of Civil Engineering http://www.gf.ac.me/predmet.php?id=47
Examination methods	- 5 homework tasks total 5 points (each homework task 1 point) – Two colloquiums 20 points each (total 40 points). – Regular attendance 5 points (each absence –1 point) – Final exam 50 points. – Students get the passing mark if they cumulatively collect 50 points.
Special remarks
Comment	Additional information can be obtained at the present teaching staff, with Dean for 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 / CIVIL ENGINEERING / CONSTRUCTION MATERIALS

Course:

CONSTRUCTION MATERIALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
179	Obavezan	3	7	3+1+2

Programs	CIVIL ENGINEERING
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
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 2 sat(a) practical classes 1 excercises 3 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 9 hour(s) i 20 minuts x 16 =149 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 9 hour(s) i 20 minuts x 2 =18 hour(s) i 40 minuts Total workload for the subject: 7 x 30=210 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) 42 hour(s) i 0 minuts Workload structure: 149 hour(s) i 20 minuts (cources), 18 hour(s) i 40 minuts (preparation), 42 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 / CIVIL ENGINEERING / ELEMENTS OF BUILDINGS

Course:

ELEMENTS OF BUILDINGS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
180	Obavezan	2	6	3+2+0

Programs	CIVIL ENGINEERING
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 0 sat(a) practical classes 2 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 / CIVIL ENGINEERING / THEORY OF STRUCTURES I

Course:

THEORY OF STRUCTURES I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
184	Obavezan	5	7	3+2+1

Programs	CIVIL ENGINEERING
Prerequisites	Strength of materials I, Strength of materials II, Mathematics II
Aims	Acquiring knowledge in the field of statics of line structures
Learning outcomes	After passing this exam the student will be able to: 1. Understands the theoretical foundations of the linear theory of elasticity of linear structures in plane, 2. Applies the procedures for determining the static determination and kinematic stability of linear structures in plane, 3. Applies classical methods to determine: reactions, forces and displacements of statically determined structures in plane, 4. Understands the procedures for determining the deformation lines of linear structures in plane, 5. Understands the concept of influential lines and methods for determining influential lines for static and kinematic influences of statically determined girder, frame and truss, structures in plane, 6. Applies the Force method for the calculation of reactions and internal forces for statically indeterminate linear structures in plane, 7. Understands procedures for determining displacements in statically indeterminate linear structures in plane.
Lecturer / Teaching assistant	PhD Marina Rakočević - professor MSc Vasilije Bojović - teaching assistant
Methodology	Lectures, practice, elaborate, consultations, additional classes and consultations before the final exam, colloquia, final exams.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Basic equations of technical theory of a member in a plane.
I week exercises	Cross-sectional internal forces of the girder due to arbitrary loading. Static and kinematic girder classification.
II week lectures	Integrals of equilibrium conditions of members, expressions for internal forces. Integrals of deformation equations, expressions for displacements and rotations. Relations of statically independent values and deformation values of a beam.
II week exercises	Calculation of influences from influence lines, extreme values of influences. Statically determined beam girders.
III week lectures	Elements and nodes of structures. Basic equations and basic unknown values. Kinematic and static classification of structures.
III week exercises	Statically determinate full girders-three hinge arch and decomposition method. Graphically task no. 1.
IV week lectures	The principle of virtual forces and the principle of virtual displacements. Moving load, influential lines and their application.
IV week exercises	Statically determined solid girders – examples.
V week lectures	Statically determined structures. Decomposition method.
V week exercises	Influence lines of statically determined solid girders. Graphic assignment no. 2. Static determined solid girders - examples.
VI week lectures	Influence lines of statically determined girders and frames - static method.
VI week exercises	Truss girders. Influence lines of trusses, kinematic and static method of construction of influence lines. Graphic assignment no. 3.
VII week lectures	Trusses, reactions and internal forces. Influence lines for reactions and internal forces - static method.
VII week exercises	Application of the principle of virtual displacements and the principle of virtual forces. Graphic task no. 4.
VIII week lectures	Determination of reactions and internal forces using the principle of virtual displacements. Coplanar movement in plane. Influence lines for reactions and internal forces - kinematic method.
VIII week exercises	Displacements of statically determined girders.
IX week lectures	Determination of generalized displacements. Determination of displacement diagrams of statically determined structures.
IX week exercises	Displacements of statically determined girders.
X week lectures	Determination of displacement diagrams of statically determined trusses. Reciprocity theorems. Construction of influential lines for deformation influences.
X week exercises	Force method. Graphic task no. 5.
XI week lectures	Force method - Introduction, static indeterminacy, adoption of the basic system-primary structure, derivation of equilibrium equations.
XI week exercises	Force method – examples.
XII week lectures	Force method - Internal forces, displacements, influence lines.
XII week exercises	Symmetrical frames. Continuous girders.
XIII week lectures	Symmetrical frames. Continuous girders
XIII week exercises	Force method – examples.
XIV week lectures	COLLOQUIUM
XIV week exercises	Preparation for the written part of the exam – examples.
XV week lectures	CORRECTIVE COLLOQUIUM
XV week exercises	Preparation for the written part of the exam – examples.

Student workload
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 2 excercises 3 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 9 hour(s) i 20 minuts x 16 =149 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 9 hour(s) i 20 minuts x 2 =18 hour(s) i 40 minuts Total workload for the subject: 7 x 30=210 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) 42 hour(s) i 0 minuts Workload structure: 149 hour(s) i 20 minuts (cources), 18 hour(s) i 40 minuts (preparation), 42 hour(s) i 0 minuts (additional work)
Student obligations	Attendance at lectures and practices, making elaborate, taking a colloquium and final exam.
Consultations	According to the agreement with the students
Literature	Đurić: Statika konstrukcija, Građevinska knjiga,1979., M. Đurić, D. Nikolić: Statika konstrukcija- uticaj pokretnog opterećenja, Naučna knjiga Beograd, 1983., S. Ranković: Statika konstrukcija, Naučna knjiga Beograd,1986., Other literature in the field of statics of structures from foreign publishers
Examination methods	- Elaborate max 10,0 points - Colloquia max 40,0 points - Final exam max 50,0 points
Special remarks	Elaborate: The student is obliged to regularly work elaborate tasks according to the established program. Teaching assistant can request a verification of elaborate tasks. At the colloquium, the candidate passes theory and tasks. Structure of the colloquium: 2 theoretical questions and 2 short tasks. The colloquium is organized in two terms: colloquium and corrective colloquium. The candidate receives points based on the learning outcomes for the subject listed above. If the student has not achieved the learning outcomes, he cannot earn points for the intermediate assessment. The final exam is the written part of the exam. At the final exam, there are 2 tasks. A passing grade is obtained when at least 50 points are earned, i.e. when the learning outcomes are achieved. The use of literature and mobile devices during the knowledge test 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 / CIVIL ENGINEERING / WATER ENGINEERING FUNDAMENTALS

Course:

WATER ENGINEERING FUNDAMENTALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
187	Obavezan	3	4	2+1+1

Programs	CIVIL ENGINEERING
Prerequisites
Aims
Learning outcomes
Lecturer / Teaching assistant	Dr Goran Sekulić - nastavnik Ivana Ćipranić - saradnik
Methodology	Lectures, exercises, laboratory exercises, individual work on homework and consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Hydrostatics: basic equation of static fluid, Euler equation, the effect of pressure on flat surfaces, force pressure, the effect of pressure on sloped and curved surfaces..
I week exercises	Hydrostatics: basic equation of static fluid, Euler equation, the effect of pressure on flat surfaces, force pressure, the effect of pressure on sloped and curved surfaces..
II week lectures	Hydrodynamics: The movement of the fluid restricted solid boundary - Bernoulli's equation.
II week exercises	Hydrodynamics: The movement of the fluid restricted solid boundary - Bernoulli's equation.
III week lectures	Flow under the constitution, dressings and overflow evacuation organs. Movement In opened flows.
III week exercises	Flow under the constitution, dressings and overflow evacuation organs. Movement In opened flows.
IV week lectures	Hydrology: Precipitation and runoff: hydrometric measurements - measure the speed and flow, fault flow characteristics regime runoff coefficient and runoff module. Medium, small and big water.
IV week exercises	Hydrology: Precipitation and runoff: hydrometric measurements - measure the speed and flow, fault flow characteristics regime runoff coefficient and runoff module. Medium, small and big water.
V week lectures	Unit and synthetic hydrograph.
V week exercises	Unit and synthetic hydrograph.
VI week lectures	COLLOQUIUM I
VI week exercises	COLLOQUIUM I
VII week lectures	FREE WEEK
VII week exercises	FREE WEEK
VIII week lectures	The use of water power. The hydropower potential. The power and energy of the water flow.
VIII week exercises	The use of water power. The hydropower potential. The power and energy of the water flow.
IX week lectures	Basic indicators of HPP and storage basins. Types of hydroelectric power plants. Accumulation basins and their characteristics.
IX week exercises	Basic indicators of HPP and storage basins. Types of hydroelectric power plants. Accumulation basins and their characteristics.
X week lectures	Hydropower facilities, dams, valves, water intake structures.
X week exercises	Hydropower facilities, dams, valves, water intake structures.
XI week lectures	Facilities derivative with hydropower: open concrete canals, tunnels and pipelines under pressure.
XI week exercises	Facilities derivative with hydropower: open concrete canals, tunnels and pipelines under pressure.
XII week lectures	Dams. Application of hydropower and rolled concrete in the construction of high concrete dam.
XII week exercises	Dams. Application of hydropower and rolled concrete in the construction of high concrete dam.
XIII week lectures	Water supply - water supply systems, planning and design.
XIII week exercises	Water supply - water supply systems, planning and design.
XIV week lectures	Sewage systems, waste water and treatment
XIV week exercises	Sewage systems, waste water and treatment
XV week lectures	COLLOQUIUM II
XV week exercises	COLLOQUIUM II

Student workload	A week 6.5 credits x 40/30 = 8 hours and 40 minutes Total work hours for the course 6.5x30 = 195 hours
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	Ratomir Žvaljević Osnovi hidrotehnike, Podgorica 2000. Aleksandar Ćorović: Komunalna hidrotehnika -skripta, GF, Podgorica 2001. Božidar Batinić: Hidraulika,Grañevinski fakultet Beograd 1994. Branislav ðorñević: Korišćenje vodnih snaga –objekti HE, Grañevi
Examination methods
Special remarks	Lectures are held in the amphitheater (for all enrolled). Exercises are performed in a group of 20 students.
Comment	Additional information can be obtained at the present teachers, assistants, head of the study program with Dean for 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 / CIVIL ENGINEERING / ENGINEERING SEISMOLOGY

Course:

ENGINEERING SEISMOLOGY/

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

Programs	CIVIL ENGINEERING
Prerequisites	Course is not conditioned.
Aims	Educating students with the necessary knowledge in the field of general seismology and especially in engineering seismology, as a basis for the subject aseismic design and groups of design subjects, as well as for specific engineering practice.
Learning outcomes	Student: 1. has basic knowledge of applied Seismology 2. knows information about the seismogenic characteristics of the territory of Montenegro and the wider region 3. BE ABLE to determine the basic energy characteristics of an earthquake 4. Can Understand and interpret the principles and methods of preparation of seismic reonization and seismic microreonization of a region or smaller territory 5. Understands the working principles of all important instruments in seismological practice 6. uses professional terminology in the field of fundamentals of earthquake engineering 7. is able to calculate the expected maximum acceleration on the bedrock of the construction site under the influence of an earthquake 8. Able to calculate the amplification effect of the soil during an earthquake 9. is able to determine the coefficients of the seismic effect on the structure 10. is able to calculate the total seismic force acting on the structure
Lecturer / Teaching assistant	Assit. Prof. dr Nina Serdar
Methodology	Lectures with concrete examples from practice, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	The subject of engineering seismology, its role and importance in modern construction and aseismic planning and design;Basic properties of seism. of the World, the Mediterranean and Montenegro.
I week exercises
II week lectures	Global plate tectonics: continental movement as a global cause of earthquakes. Subduction processes: the example of the Mediterranean. Terrible disasters in the world and in our country: major disasters in the world
II week exercises
III week lectures	The catastrophic earthquake in Montenegro on April 15, 1979: characteristics and its devastating effects. Earthquake intensity scales (MCS, MSK-64, EMS98, MM); Magnitude and seism. earthquake moment.
III week exercises
IV week lectures	Elements of the theory of earthquake genesis, basic types of seismic waves. corresponding seismic waves.
IV week exercises
V week lectures	Seismic monitoring: elements of seismometry, modern principles of seismic recording. waves; principles of seism analysis and processing. data. Earthquake precursors; Basic principles and types of forecasts of the earth.
V week exercises
VI week lectures	Methods and principles of engineering seismology in defining seism. parameters for aseism. designing; seism. hazard. Seismic hazard in Montenegro for a series of return periods, Mediterranean hazard map.
VI week exercises
VII week lectures	Basic characteristics of accelerographs and register examples. history of ground acceleration: analysis of the earthquake accelerogram of April 15, 1979. in Montenegro. Spectral characteristics of the accelerogram.
VII week exercises
VIII week lectures	Soil effects in dynamic conditions, methods of dynamic amplification factor calculation. Expected maximum ground accelerations at the level of the building foundation. The influence of groundwater on the increase in seismicity.
VIII week exercises
IX week lectures	Methods of calculating the increase in seismic intensity as a function of the seismic impedance of the soil and the level of underground water. Soil microtremors.
IX week exercises
X week lectures	Methods of calculating the increase in seismic intensity as a function of the seismic impedance of the soil and the level of underground water. Microtremors of the soil. - Part II.
X week exercises
XI week lectures	Other effects of strong earthquakes: liquefaction, landslides, landslides. Project seismic parameters for high-rise buildings: method of calculating the seismic forces.
XI week exercises
XII week lectures	Principles of creating a seismic regionalization map and its function in urban planning. An example of seismic regionalization of the territory of Montenegro.
XII week exercises
XIII week lectures	Seismic risk
XIII week exercises
XIV week lectures	Preparation for the test and review of the course material.
XIV week exercises
XV week lectures	Test
XV week exercises

Student workload	Weekly 3 credits x 40/30 = 4 hours Total load for the course3x30 = 90 hours
Per week	Per semester
3 credits x 40/30=4 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 4 hour(s) i 0 minuts x 16 =64 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 0 minuts x 2 =8 hour(s) i 0 minuts Total workload for the subject: 3 x 30=90 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) 18 hour(s) i 0 minuts Workload structure: 64 hour(s) i 0 minuts (cources), 8 hour(s) i 0 minuts (preparation), 18 hour(s) i 0 minuts (additional work)
Student obligations	Attendance at lectures
Consultations	Assit. prof. dr Nina Serdar room 122
Literature	GGlavatović B. 2004. Seizmologija (skripta). Izdanje Republičkog seizmološkog zavoda. Ivanović S. 1986. Inženjerska seizmologija (skripta). Građevinski fakultet, Podgorica. Ivanović S. 1991. Zemljotresi fenomeni prirode (knjiga). Građevinski fakultet, Podgorica. Lee W., Kanamori H., Jennings P., Kislinger C. 2002. International Handbook of Earthquake and Engineering Seismology (International Geophysics), IASPEI -International Association of Seismology and Earth’s Interior. Medvedev S. V. 1965. Inženjerska seizmologija. Građevinska knjiga, Beograd. Shearer P. 1999. Introduction to Seismology. Cambridge University Press, California. Internet prezentacija Republičkog seizmološkog zavoda (edukativni dio): www.seismo.cg.yu
Examination methods	Test 30 points (written) - Final exam 70 points (oral) - A passing grade is obtained if 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 / CIVIL ENGINEERING / ROADS

Course:

ROADS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
190	Obavezan	3	4	2+1+0

Programs	CIVIL ENGINEERING
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 / CIVIL ENGINEERING / THEORY OF STRUCTURES II

Course:

THEORY OF STRUCTURES II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
192	Obavezan	6	7	3+2+1

Programs	CIVIL ENGINEERING
Prerequisites	Strength of materials I, Strength of materials II
Aims	Acquiring knowledge in the field of linear statically indeterminate girders
Learning outcomes	1. Understands the basics of linear theory of elasticity of linear girders and basic procedures for determining static determination and kinematic stability, 2. Understands and applies the analytical / classical method of deformations for the calculation of forces and displacements in statically indeterminate structures in plane, 3. Understands the basic concepts in matrix analysis, 4. Applies matrix methods for calculating the internal forces (forces and displacements) of statically determined and statically indeterminate structures, 5. Implements the software for calculation of internal forces for structures in plane.
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, colloquia, final exams.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Basic equations of technical theory of a member in a plane. Static indeterminacy, kinematic stability, basic principles.
I week exercises	Deformation method: example for graphic task No. 1.
II week lectures	Deformation method: deformation indeterminacy, displacement-force relations, conditional equations.
II week exercises	Examples: Determination of displacements, displacement diagrams and influence lines.
III week lectures	Internal forces, displacements and influential lines in the deformation method. Symmetrical structures.
III week exercises	Example: Symmetrical girders.
IV week lectures	Symmetrical girders.
IV week exercises	Matrix analysis - a brief overview. Example for graphic assignment no. 2.- Part 1.
V week lectures	Matrix analysis. Assumptions, unknown, force-displacement relations (stiffness and flexibility matrices), equivalent node load.
V week exercises	Matrix analysis. Example for graphic assignment no. 2.- Part 2.
VI week lectures	Matrix analysis of member. Direct procedure of forming stiffness matrices and equivalent load vectors.
VI week exercises	Truss girders. Examples – matrix analysis.
VII week lectures	Direct procedure for forming stiffness matrices and equivalent load vectors - Part 1.
VII week exercises	Examples - matrix analysis - individual exercises.
VIII week lectures	Task 1. First part of written exam.
VIII week exercises	Direct procedure for forming stiffness matrices and equivalent load vectors - Part 2.
IX week lectures	Final exams examples - matrix analysis.
IX week exercises	Variation procedure for determination of stiffness matrices and load vectors.
X week lectures	Orthogonal frames. Exam examples - matrix analysis.
X week exercises	Shear deformation. Transformation of stiffness matrices and load vectors in the plane.
XI week lectures	Software based on the method of deformations - introduction, example for task no. 3.
XI week exercises	Line structures in plane.
XII week lectures	Software based on the method of deformations - example for task no. 3.
XII week exercises	Line structures in plane. Equilibrium equations, kinematic matrix, boundary conditions – Part 1.
XIII week lectures	Software based on the method of deformations - example for task no. 3.
XIII week exercises	Line structures in plane. Equilibrium equations, kinematic matrix, boundary conditions – Part 2.
XIV week lectures	Software based on the method of deformations – individual exercises.
XIV week exercises	Orthogonal frames. Continuous girders. Symmetrical frames.
XV week lectures	Software based on the method of deformations – individual exercises.
XV week exercises	Spatial structures. Grid spatial structures.

Student workload
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 2 excercises 3 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 9 hour(s) i 20 minuts x 16 =149 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 9 hour(s) i 20 minuts x 2 =18 hour(s) i 40 minuts Total workload for the subject: 7 x 30=210 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) 42 hour(s) i 0 minuts Workload structure: 149 hour(s) i 20 minuts (cources), 18 hour(s) i 40 minuts (preparation), 42 hour(s) i 0 minuts (additional work)
Student obligations	Software based on the method of deformations – individual exercises.
Consultations	According to the agreement with the students
Literature	M.Sekulović: Matrična analiza konstrukcija, Građ.knjiga,Beograd 1992; M.Đurić,P.Jovanović: Teorija okvirnih konstrukcija, Građ.knjiga,Beograd 1972; M.Sekulović,M.Petronijević, Statika konstrukcija 2- zbirka ispitnih zadataka, Naučna knjiga,Beograd 1989.; Other literature in the field of statics of structures from foreign publishers
Examination methods	- Elaborate max 10,0 points - Colloquia max 40,0 points - Final exam max 50,0 points
Special remarks	Elaborate: The student is obliged to regularly work elaborate tasks according to the established program. Teaching assistant can request a verification of elaborate tasks. At the colloquium, the candidate passes theory and tasks. Structure of the colloquium: theoretical questions and short tasks. The colloquium is organized in two terms: colloquium and corrective colloquium. The final exam is the written part of the exam. At the final exam, there are 2 tasks. It is possible to pass the task during the XV week of classes (task 1 - the first part of the written exam and task 2 - the second part written exam) that carry up to 2x25.0 points. Number of points earned on assignments 1 and 2 during 15th week classes, can be transferred to the final exam in the current academic year. By taking the same knowledge test, the candidates last points will be counted. A passing grade is obtained when the learning outcomes are met and at least 50 points are earned. The use of literature and mobile devices during the knowledge test 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 / CIVIL ENGINEERING / TIMBER STRUCTURES

Course:

TIMBER STRUCTURES/

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

Programs	CIVIL ENGINEERING
Prerequisites	Building materials, Strength of materials I and II
Aims	Getting basic knowledge in timber structures design
Learning outcomes	1. Know basic kinds and characteristics of timber as a building material 2. Know principles and specific issues of application, design, construction and protection of timber structures 3. Calculate carrying capacity and serviceability, as well as design timber elements in common structures, for the case of elementarz stress states. Know stability problems of timber structures 4. Know connections and fasteners in timber structures. Design elementary types of connections in common timber structures 5. Design simple solid timber structures
Lecturer / Teaching assistant	Assoc. Prof. Biljana Šćepanović , Dr-Ing - teacher Mladen Muhadinović, MSc; Petar Subotić, MSc - assistants
Methodology	Lectures, exercises, laboratory exercises, consultations, semester project

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction- General about timber structures, application domains, , the most important objects, historical development, advantages and disadvantages of timber structure. Timber as material of structures in civil engineering (structure, kinds, defects, protection, timber and fire, glue laminated timber).
I week exercises	Introduction- General about timber structures, application domains, , the most important objects, historical development, advantages and disadvantages of timber structure. Timber as material of structures in civil engineering (structure, kinds, defects, protection, timber and fire, glue laminated timber).
II week lectures	Timber properties (aesthetic, physical, rheological, mechanical). Basis of timber structures calculation (loads; carrying capacity, stability and serviceability; design methods).
II week exercises	Timber properties (aesthetic, physical, rheological, mechanical). Basis of timber structures calculation (loads; carrying capacity, stability and serviceability; design methods).
III week lectures	Timber structures calculation/design - carrying capacity, stress states(centric tension and compression, bending, shear, torsion, eccentric tension and compression). Semester project - Task 1
III week exercises	Timber structures calculation/design - carrying capacity, stress states(centric tension and compression, bending, shear, torsion, eccentric tension and compression). Semester project - Task 1
IV week lectures	Timber structures calculation/design - carrying capacity, stress states(centric tension and compression, bending, shear, torsion, eccentric tension and compression). Semester project - Task 2
IV week exercises	Timber structures calculation/design - carrying capacity, stress states(centric tension and compression, bending, shear, torsion, eccentric tension and compression). Semester project - Task 2
V week lectures	Tapered girders. Semester project - Task 3
V week exercises	Tapered girders. Semester project - Task 3
VI week lectures	Timber structures calculation/design - serviceability, deformations. Semester project - Task 4
VI week exercises	Timber structures calculation/design - serviceability, deformations. Semester project - Task 4
VII week lectures	Curved and pitched girders
VII week exercises	Curved and pitched girders
VIII week lectures	Connectors and fasteners. Connections and splices
VIII week exercises	Connectors and fasteners. Connections and splices
IX week lectures	Classic timber structures. Classic timber roofs and truss girders.
IX week exercises	Classic timber structures. Classic timber roofs and truss girders.
X week lectures	Girders made of timber and wood based plates (thin webbed and thin flanged girders).
X week exercises	Girders made of timber and wood based plates (thin webbed and thin flanged girders).
XI week lectures	Formworks and scaffoldings.
XI week exercises	Formworks and scaffoldings.
XII week lectures	In situ teaching - excursion to the construction site or existing objects.
XII week exercises	In situ teaching - excursion to the construction site or existing objects.
XIII week lectures	Timber structures design and construction. semester project - Task 5
XIII week exercises	Timber structures design and construction. semester project - Task 5
XIV week lectures	Semester project presentation and defence.
XIV week exercises	Semester project presentation and defence.
XV week lectures	Semester wrap - up and final preparation for the examination.
XV week exercises	Semester wrap - up and final preparation for the examination.

Student workload	Teaching and final exam: (6.67 hours)x16 = 106.67 hours Necessary preparations before semester ( administration, enrollment etc) 2x(6.67 hours) = 13.33 hours Total load for the course: 5x30 = 150 hours. Additional work for exam preparation in the additional exam session, including passing of correctional exam between 0 and 30 hours ( remaining time from the previous issues to the final load for the course of 150 hours) Load structure: 106.67 hours (teaching) + 13.33 hours (preparation) + 30 hours (additional work)
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	Basic literature 1. Zakić B.: Uvod u mehaniku drveta, FTN NS i IMS BG, Beograd, 1985. 2. Gojković M.: Oplate i skele, GF BG i Naučna knjiga, Beograd, 1988. 3. Ilić S.: Klasični drveni krovovi, građevinska knjiga, Beograd, 1989 4. Gojković M., Stojić D.: Drvene konstrukcije, GF BG i Grosknjiga, Beograd, 1996. 5. Goldstein W.E.: Timber Construction for Architects and Builders, McGrow-Hill, USA, 1999. Additional literature: 6. Gojković M. i dr.: Drvene konstrukcije - rešeni primeri iz teorije i prakse, GF BG i Grosknjiga, Beograd, 1989. 7. JUS standards 8. MEST EN standards
Examination methods	Semester project 22.5 - 45 (min positively marked semester project = 22.5 points) Final exam 27.5 - 55 (min positively marked final exam = 27.5 points) Semester project should be completed in order to be marked. It consists of oral and written part. Final exam is in written form. Both theory and numerical part should be done > 50% Following grading system is applied: A for > 90 points B for 80 < points < 90 C for 70 < points < 80 D for 60 < points < 70 E for 50 < points < 60 F for < 50 points. Positive grade is obtained for min 50 points. F = failed
Special remarks
Comment	Additional information on course may be obtained from course teacher , assistant, head of the study programme 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 / CIVIL ENGINEERING / TECHNOLOGY OF CONCRETE

Course:

TECHNOLOGY OF CONCRETE/

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

Programs	CIVIL ENGINEERING
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 0 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 / CIVIL ENGINEERING / GEOLOGY

Course:

GEOLOGY/

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

Programs	CIVIL ENGINEERING
Prerequisites	None.
Aims	This Subject enables acqusition of basic information in fields of geology and hydrogeology
Learning outcomes	After having passed the exam, students will be able to: 1. Describe and distinguish igneous, sedimentary and metamorphic rocks; 2. Assess physical-mechanical and structural properties of rocks for purposes of geotechnical foundation; 3. Use geological, hydrogeological and engineering-geological maps which represent the basis for the civil engineering design of structures.
Lecturer / Teaching assistant	Prof. dr Milan Radulović - lecturer
Methodology	Lectures, exercises, consultations, homeworks, etc.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Origin and structure of the Earth. Global tectonics of plates.
I week exercises	Graphic layout of the Earth structure and crust. Homework.
II week lectures	Foundations of mineralogy. Sistematics of minerals.
II week exercises	Macroscopic examination of minerals. Homework.
III week lectures	Rocks of Earth crust: magma and igneous rocks.
III week exercises	Macroscopic examination of minerals and magmas. Homework.
IV week lectures	Sedimentary rocks.
IV week exercises	Macroscopic examination of minerals and rocks
V week lectures	Metamorphic rocks
V week exercises	Macroscopic examination of rocks.
VI week lectures	Geological chronology. Tectonics. Folds, faults, overthrust nappes. Dip and strike.
VI week exercises	Macroscopic examination of rocks
VII week lectures	I TEST, I COLLOQUIUM
VII week exercises	I TEST, I COLLOQUIUM
VIII week lectures	Geological, engineering-geological (EG) and hydrogeological (HG) maps.
VIII week exercises	Interpretation of geological maps. Measurement of fall elements by a compass.
IX week lectures	Rock mass properties. Field investigation methods for construction of structures.
IX week exercises	Geological and EG maps. Preparation of design for EG investigations.
X week lectures	Foundations of hydrogeology. Groundwater.
X week exercises	Hydrogeological maps, revision.
XI week lectures	Hydrogeological functions of rock masses. Aquifiers.
XI week exercises	Types of aquifier. Elements of intergranular aquifier- scheme.
XII week lectures	Watersheds. Hydrogeological phenomena. Groundwater flow.
XII week exercises	Type of water-intake structures. Determination of HG parameters (Kf, T)
XIII week lectures	Methodics of HG investigations. Foundations of geodynamics.
XIII week exercises	Preparation of design for HG investigations. Revision.
XIV week lectures	Repetition of lessons.
XIV week exercises	Repetition of lessons.
XV week lectures	II TEST, II COLLOQUIUM
XV week exercises	II TEST, II COLLOQUIUM

Student workload	Weekly 3.5 credits x 40/30 = 4 hours 40 min Total workload for the Subject 3.5x30 = 105 hours
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	Attendance, preparation of graphical papers, taking the tests.
Consultations	Monaday 11.00-13.00
Literature	Radulovic Micko (2003) Foundations of Geology. University of Montenegro, Faculty of Civil Engineering in Podgorica
Examination methods	- Attendance to lectures and exercises: max 5 pt; - Homeworks: max 5 pt; - Tests: max 20 pt; - Colloquiums: max 40 pt; - Final exam: max 30 pt; - Pass requires minimum 50 pt.
Special remarks	Lectures are intended for a group of 90 students, and exercises for a group of 30 students.
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 / CIVIL ENGINEERING / MUNICIPAL INFRASTRUCTURE

Course:

MUNICIPAL INFRASTRUCTURE/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
214	Obavezan	6	3	2+0+0

Programs	CIVIL ENGINEERING
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
3 credits x 40/30=4 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 4 hour(s) i 0 minuts x 16 =64 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 0 minuts x 2 =8 hour(s) i 0 minuts Total workload for the subject: 3 x 30=90 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) 18 hour(s) i 0 minuts Workload structure: 64 hour(s) i 0 minuts (cources), 8 hour(s) i 0 minuts (preparation), 18 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 / CIVIL ENGINEERING / ASEISMIC DESIGN AND PLANNING

Course:

ASEISMIC DESIGN AND PLANNING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
226	Obavezan	5	2.5	2+0+0

Programs	CIVIL ENGINEERING
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
2.5 credits x 40/30=3 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 1 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 3 hour(s) i 20 minuts x 16 =53 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 3 hour(s) i 20 minuts x 2 =6 hour(s) i 40 minuts Total workload for the subject: 2.5 x 30=75 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) 15 hour(s) i 0 minuts Workload structure: 53 hour(s) i 20 minuts (cources), 6 hour(s) i 40 minuts (preparation), 15 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 / CIVIL ENGINEERING / ENGLESKI JEZIK

Course:

ENGLESKI JEZIK/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1004	Obavezan	3	4	2+2+0

Programs	CIVIL ENGINEERING
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 2 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 / CIVIL ENGINEERING / MATHEMATICS I

Course:

MATHEMATICS I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1026	Obavezan	1	6	2+2+0

Programs	CIVIL ENGINEERING
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 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 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 / CIVIL ENGINEERING / MATHEMATICS II

Course:

MATHEMATICS II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1027	Obavezan	2	6	2+2+0

Programs	CIVIL ENGINEERING
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 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 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 / CIVIL ENGINEERING / TECHNICAL DRAWING

Course:

TECHNICAL DRAWING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1031	Obavezan	1	3	2+0+0

Programs	CIVIL ENGINEERING
Prerequisites	There is no conditionality by other exams.
Aims	To acquire basic knowledge of the elements of technical drawing; understanding/reading and independent production of technical drawing; presenting 3D objects on 2D media (paper or computer monitor), using classic drawing tools or the Auto Cad software package.
Learning outcomes	After passing this exam, the student will be able to: 1. Draw a clear, precise, unambiguous and aesthetically appropriate technical drawing, and imagine the drawn object in space, as well; 2. Know all elements of the technical drawing, as a basis for the preparation of project documentation and independently drawing and understanding of it; 3. Graphically represent 3D objects and details using standards and rules of technical drawing, with the help of classic tools or computer-aided drawing.
Lecturer / Teaching assistant	Marija Jevrić
Methodology	Lectures and consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to technical drawing; classic drawing tools; types of technical lines; scale; standards in technical drawing
I week exercises
II week lectures	Type and purpose of lines; technical letters; graphic markings and symbols in engineering drawings.
II week exercises
III week lectures	Methods of 3D object representation: orthogonal and central projection and axonometry.
III week exercises
IV week lectures	Types of dimensioning and dimension elements; dimensioning rules; hatching.
IV week exercises
V week lectures	Types of construction projects, their content and requirements; project composition
V week exercises
VI week lectures	Drawing of roads, buildings, construction sites, installations...
VI week exercises
VII week lectures	Basic geometric constructions and transformations
VII week exercises
VIII week lectures	1st part of the exam
VIII week exercises
IX week lectures	Introduction to Auto Cad; interface, elements and initial settings
IX week exercises
X week lectures	Coordinate systems, grid and OSNAP functions
X week exercises
XI week lectures	Basic commands for drawing lines, polygons, curves and polylines
XI week exercises
XII week lectures	Basic commands for modifying and transforming objects
XII week exercises
XIII week lectures	Dimensioning, text entry, hatch
XIII week exercises
XIV week lectures	Blocks, layers, preparation for printing
XIV week exercises
XV week lectures	Basics of BIM
XV week exercises

Student workload	Weekly 3.0 credits x 40/30 = 4 hours Total workload to the course: 3.0 x 30 = 90 hours
Per week	Per semester
3 credits x 40/30=4 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 4 hour(s) i 0 minuts x 16 =64 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 0 minuts x 2 =8 hour(s) i 0 minuts Total workload for the subject: 3 x 30=90 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) 18 hour(s) i 0 minuts Workload structure: 64 hour(s) i 0 minuts (cources), 8 hour(s) i 0 minuts (preparation), 18 hour(s) i 0 minuts (additional work)
Student obligations	To attend lectures, do graphic papers and sit their exams.
Consultations	Thu, 12-13 h
Literature	1.https://www.researchgate.net/publication/275642194_Technical_Drawing_Presentation_and_Practice 2. https://images-na.ssl-images-amazon.com/images/I/C1BxaOC0-IS.pdf
Examination methods	The forms of knowledge testing and grading: Assessment is carried out continuously throughout the semester and the final exam. If the student shows a minimally sufficient level of knowledge during the semester can earn 51/100 points.
Special remarks
Comment	Additional information can be obtained at the present teaching staff, Head of the study program, and at Vice Dean for 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 / CIVIL ENGINEERING / CONCRETE STRUCTURES I

Course:

CONCRETE STRUCTURES I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1036	Obavezan	5	5	2+1+1

Programs	CIVIL ENGINEERING
Prerequisites	Building materials, Strength of materials I & II.
Aims	Acquiring knowledge in the field of application, design and construction of concrete and reinforce concrete and prestressed structures.
Learning outcomes	After passing this course, the student will be able to: 1. Understand the behaviour of concrete and reinforced concrete structures. 2. Apply knowledge, i.e. performs the design of RC elements according to the ultimate limit states (ULS) ( for beams, solid slabs and other flor systems)3. Apply knowledge, i.e. performs the design of RC cross sections for shear and torsion effects. 4. Be familiar with basic concepts of nonlinear analysis of RC structures and redistribution of forces and stresses in statically indeterminate structures. 5. Be familiar with basic concepts of Theory of Permissible stress design
Lecturer / Teaching assistant	Nebojša Đuranović, Full professor PhD - lecturer Nina Serdar – Teaching Associate, PhD Maja Lausević-Odalović- Teaching Associate, MSc
Methodology	Lectures, exercises/tutorials, learning, consultations and independent work

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Basic concepts of concrete and reinforced concrete structures.
I week exercises	Practical examples.
II week lectures	Material properties
II week exercises	Practical examples.
III week lectures	Detailing rules for reinforcement
III week exercises	Practical examples.
IV week lectures	Basics of design. Behaviour of RC cross sections and elements with increasing load. Structural analysis –calculation of forces /moments/ stresses/displacements. The concept of structural Reliability: limit state design in conjunction with the partial factor method. Constituent connections
IV week exercises	Practical examples.
V week lectures	Stress-deformation field
V week exercises	Practical examples.
VI week lectures	Design of structures according to Theory of Permissible stress design. Concept of partial safety coefficients.
VI week exercises	Practical examples.
VII week lectures	Basic of design according to ultimate limit states-part I
VII week exercises	Practical examples.
VIII week lectures	Basic of design according to ultimate limit states-part II(
VIII week exercises	Practical examples.
IX week lectures	Design of RC cross sections according to ultimate limit states. Cracked sections.
IX week exercises	Practical examples.
X week lectures	Design of RC cross sections according to ultimate limit states. Design for shear and torsion effects.
X week exercises	Practical examples.
XI week lectures	Detailing and design of members: particular rules for beams
XI week exercises	Practical examples.
XII week lectures	Detailing and design of members: particular rules for solid slabs
XII week exercises	Practical examples.
XIII week lectures	Detailing and design of members: particular rules for circular slabs and flat slabs with enlarged column head
XIII week exercises	Practical examples.
XIV week lectures	Other floor systems
XIV week exercises	Practical examples.
XV week lectures	Basics of nonlinear analysis of RC structures and redistribution of forces and stresses in statically indeterminate RC structure
XV week exercises	Practical examples.

Student workload	Per week: 5 credits x 40/30 = 6.67 hours Structure: 2 hours lectures 2 hours exercises 2.67 hours individual 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	Attending of lectures and exercises, elaboration of semester project, passing of pre-exams
Consultations	Prof dr Nebojša Đuranović, , teacher: Monday 13h-15h; Dr Nina Serdar i Mr. Maja Laušević, teaching assistants Monday 10-12 h and Thursday 11 h-13 h
Literature	Đuranović N.: "Izvod iz predavanja na predmetu Betonske konstrukcije I", oktobar 2004. godine. Grupa autora: BETON I ARMIRANI BETON PREMA BAB 87, knjiga 1 i 2, Gradevinska knjiga Beograd 1991. Radosavljević Ž., Bajić D.: ARMIRANI BETON, knjiga 3, Gradevinska knjiga, 1988. F.K. Kong and R.H. Evans: "REINFORCED AND PRESTRESSED CONCRETE" Van Nostrand Reinhold UK,1987 Aćič M., Pakvor A., Perisić Ž.: TEORIJA ARMIRANOBETONSKIH I PRETHODNO NAPREGNUTIH KONSTRUKCIJA, Gradevinski fakultet Beograd, Gradevinska knjiga, 1986.7. MEST/JUS standards
Examination methods	Work and knowledge during the semester, including homework and partial exams are graded with max. 40 points. The final exam is graded with max. 60 points. A passing grade is obtained if at least 50 points are cumulatively gathered.
Special remarks
Comment	Further information on the subject can be obtained from the subject Lecturer, teaching associate, head of the study programme 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 / CIVIL ENGINEERING / CONCRETE STRUCTURES II

Course:

CONCRETE STRUCTURES II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1037	Obavezan	6	5	2+1+1

Programs	CIVIL ENGINEERING
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 / CIVIL ENGINEERING / TUNNELS AND UNDERGROUND STRUCTURES

Course:

TUNNELS AND UNDERGROUND STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1038	Obavezan	6	4.5	2+1+1

Programs	CIVIL ENGINEERING
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
4.5 credits x 40/30=6 hours and 0 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 0 minuts x 16 =96 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 0 minuts x 2 =12 hour(s) i 0 minuts Total workload for the subject: 4.5 x 30=135 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) 27 hour(s) i 0 minuts Workload structure: 96 hour(s) i 0 minuts (cources), 12 hour(s) i 0 minuts (preparation), 27 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 / CIVIL ENGINEERING / ORGANIZATION AND TECHNOLOGY OF BUILDING

Course:

ORGANIZATION AND TECHNOLOGY OF BUILDING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1476	Obavezan	6	5	2+1+1

Programs	CIVIL ENGINEERING
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 / CIVIL ENGINEERING / DESCRIPTIVE GEOMETRY

Course:

DESCRIPTIVE GEOMETRY/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1702	Obavezan	1	6	3+2+0

Programs	CIVIL ENGINEERING
Prerequisites	No conditionality by other exams.
Aims	To acquire basic knowledge of the methods of 3D objects representation on 2D
Learning outcomes	After passing this exam, the student will be able to: 1. Represent geometric figures and solids in orthogonal and oblique projection; 2. Interpret the relationships and metric properties of the objects represented in the drawing; 3. Determine the cross-section of a solid, as well as the intersection of two solids; 4. Construct straight-line and helicoidal surfaces; 5. Understand the drawing of terrain in the quoted projection and determine the lines of embankments and cuts for the platform and the road; 6. Solve complex roofs problems and determine the actual size of the roof plane; 7. Know the properties of Platos solids and the construction of cubes, tetrahedra and octahedra.
Lecturer / Teaching assistant	Marija Jevrić
Methodology	Lectures, exercises, consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction: trihedron, Monge’s projections; point and line in orthogonal projections
I week exercises	Introduction: trihedron, Monge’s projections; point and line in orthogonal projections
II week lectures	Point and line. Special positions of lines. Piercing points of line and lines visibility.
II week exercises	Point and line. Special positions of lines. Piercing points of line and lines visibility.
III week lectures	Plane; point and line in relation to plane; lines in special positions, trihedron of the plane slope; Intersections of planes; the intersection of planes and lines.
III week exercises	Plane; point and line in relation to plane; lines in special positions, trihedron of the plane slope; Intersections of planes; the intersection of planes and lines.
IV week lectures	Transformation, rotation, the true length of lines and size of planes. Axonometry: point, line, plane, solids
IV week exercises	Transformation, rotation, the true length of lines and size of planes. Axonometry: point, line, plane, solids
V week lectures	Colineation, affinity; regular polyhedra, plane intersections of geometric solids
V week exercises	Colineation, affinity; regular polyhedra, plane intersections of geometric solids
VI week lectures	Roofs; types and methods. The true size of the roof plane.
VI week exercises	Roofs; types and methods. The true size of the roof plane.
VII week lectures	Helix and helicoidal surfaces; straight line-generated surfaces
VII week exercises	Helix and helicoidal surfaces; straight line-generated surfaces
VIII week lectures	1st part of the exam
VIII week exercises	1st part of the exam
IX week lectures	The intersection of prisms and pyramids.
IX week exercises	The intersection of prisms and pyramids.
X week lectures	The intersection of cones and cylinders.
X week exercises	The intersection of cones and cylinders.
XI week lectures	Topographic projection of terrain; Topographic representation: scale, interval and slope of lines and planes; the intersection of planes; the plane of a given slope
XI week exercises	Topographic projection of terrain; Topographic representation: scale, interval and slope of lines and planes; the intersection of planes; the plane of a given slope
XII week lectures	Determination of cuts and fills - method of contour lines, planning of horizontal surface on terrain
XII week exercises	Determination of cuts and fills - method of contour lines, planning of horizontal surface on terrain
XIII week lectures	Roads: Determination of cuts and fills - method of contour lines
XIII week exercises	Roads: Determination of cuts and fills - method of contour lines
XIV week lectures	Roads: Determination of cuts and fills - method of cross profiles
XIV week exercises	Roads: Determination of cuts and fills - method of cross profiles
XV week lectures	2nd part of the exam
XV week exercises	2nd part of the exam

Student workload	Weekly 5.0 credits x 40/30 = 6 hours 40 min Total workload to the course: 5.0 x 30 = 150 hours
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 2 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	To attend lectures and exercises, do graphic papers and sit their exams.
Consultations
Literature	http://people.math.harvard.edu/~knill/history/darstellend/Schaum.pdf
Examination methods	The forms of knowledge testing and grading: Assessment is carried out continuously throughout the semester and the final exam. If the student shows a minimally sufficient level of knowledge during the semester can earn 50/100 points.
Special remarks	The lectures are organized for a group of up to 100 students
Comment	Additional information can be obtained at the present teaching staff, Head of the study program, and at Vice Dean for 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 / CIVIL ENGINEERING / TECHNICAL PHYSICS

Course:

TECHNICAL PHYSICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
1705	Obavezan	1	3.5	2+1+0

Programs	CIVIL ENGINEERING
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
3.5 credits x 40/30=4 hours and 40 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 1 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 4 hour(s) i 40 minuts x 16 =74 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 40 minuts x 2 =9 hour(s) i 20 minuts Total workload for the subject: 3.5 x 30=105 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) 21 hour(s) i 0 minuts Workload structure: 74 hour(s) i 40 minuts (cources), 9 hour(s) i 20 minuts (preparation), 21 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 / CIVIL ENGINEERING / STRENGTH OF MATERIALS I

Course:

STRENGTH OF MATERIALS I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2443	Obavezan	3	7	3+2+1

Programs	CIVIL ENGINEERING
Prerequisites	Structural Mechanics 1
Aims	Through this subject, students get familiar with a fundamental discipline that forms the basis for specialized subjects studied in the following years.
Learning outcomes	After passing this exam, the student will be able to analyze and solve the following problems: 1. Geometric characteristics of flat surfaces; 2. Stresses and strains in a loaded body; 3. Relations between stresses and strains in a loaded body; 4. Theories of material failure and dimensioning; 5. Stresses in beam structures (axial, pure bending, inclined bending, pure shear and torsion).
Lecturer / Teaching assistant	Prof. Milivoje Rogač, Ph.D. -professor BSc Anja Glogovac -teaching assistant
Methodology	Lectures, computational exercises. Learning and independent task solving. Consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introductory notes. Geometric characteristics of flat surfaces.
I week exercises	Introductory notes. Review of material from Structural Mechanics 1 (plane frames).
II week lectures	Geometric characteristics of flat surfaces.
II week exercises	Review of material from Structural Mechanics 1 (spatial frames).
III week lectures	Stress analysis.
III week exercises	Geometric characteristics of flat surfaces.
IV week lectures	Stress analysis.
IV week exercises	Geometric characteristics of flat surfaces.
V week lectures	Stress analysis.
V week exercises	Stress analysis.
VI week lectures	Strain analysis.
VI week exercises	Stress analysis. Test 1.
VII week lectures	Strain analysis. Relations between stresses and strains.
VII week exercises	Strain analysis.
VIII week lectures	Relations between stresses and strains.
VIII week exercises	Strain analysis. Relations between stresses and strains.
IX week lectures	Theories of material failure. Basics of dimensioning.
IX week exercises	Axial stress. MIDTERM EXAM 1.
X week lectures	Axial stress. Pure shear.
X week exercises	Axial stress. Pure shear.
XI week lectures	Pure shear. Pure bending.
XI week exercises	Pure bending.
XII week lectures	Pure inclined bending. Eccentric pressure or tension.
XII week exercises	Pure inclined bending. Eccentric pressure or tension. Test 2.
XIII week lectures	Eccentric pressure or tension. Torsion.
XIII week exercises	Eccentric pressure or tension. Torsion.
XIV week lectures	Torsion.
XIV week exercises	Torsion.
XV week lectures
XV week exercises	MAKE-UP MIDTERM EXAM 1.

Student workload	Weekly 7 credits x 40/30 = 9 hours and 20 minutes Total workload for the course 7x30 = 210 hours
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 2 excercises 3 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 9 hour(s) i 20 minuts x 16 =149 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 9 hour(s) i 20 minuts x 2 =18 hour(s) i 40 minuts Total workload for the subject: 7 x 30=210 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) 42 hour(s) i 0 minuts Workload structure: 149 hour(s) i 20 minuts (cources), 18 hour(s) i 40 minuts (preparation), 42 hour(s) i 0 minuts (additional work)
Student obligations
Consultations	Prof. Milivoje Rogač, Ph.D. Monday and Friday 9am-11am
Literature	Strength of materials, Pejović R. Strength of materials, Lubarda V. Tables from strength of materials, Pejović R.
Examination methods	-Regular attendance - max 2 points -2 tests - max 8 points -Midterm exam - max 45 points -Final exam - max 45 points Passing grade is achieved with a minimum of 50 points.
Special remarks
Comment	Additional information about the course can be obtained from the professor, teaching assistant, program coordinator, and the vice dean for education.

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 / CIVIL ENGINEERING / MATHEMATICS III

Course:

MATHEMATICS III/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2444	Obavezan	3	4	2+2+0

Programs	CIVIL ENGINEERING
Prerequisites	Mathematics I, Mathematics II
Aims	Adopting the knowledge related to the multiple integrals,line and surface integrals, number series, functional series, ordinary differential equations and partial differential equations by the students.
Learning outcomes
Lecturer / Teaching assistant	Dr Đorđije Vujadinović - Teacher Rajko Ćalasan - Teaching assistant
Methodology	Classical way of teaching which includes exercises and homeworks.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Double integrals. Definition, calculation, application in geometry and mechanics.
I week exercises	Double integrals. Definition, calculation, application in geometry and mechanics.
II week lectures	Volume integrals. Definition, calculation, application in geometry and mechanics
II week exercises	Volume integrals. Definition, calculation, application in geometry and mechanics
III week lectures	Line integrals:Line integrals of the first kind and Line integrals of the second kind. Green formula.
III week exercises	Line integrals:Line integrals of the first kind and Line integrals of the second kind. Green formula.
IV week lectures	Surface integrals:Surface integral of the first kind and Surface integral of the second kind. Divergence theorem. Stoeks' formula. Application in geometry and mehanics.
IV week exercises	Surface integrals:Surface integral of the first kind and Surface integral of the second kind. Divergence theorem. Stoeks' formula. Application in geometry and mehanics.
V week lectures	Number series;Convergence. Convergence tests.
V week exercises	Number series;Convergence. Convergence tests.
VI week lectures	Functional series.Taylor formula.Fourier series.
VI week exercises	Functional series.Taylor formula.Fourier series.
VII week lectures	First test.
VII week exercises	First test.
VIII week lectures	First –order ordinary differential equations. Types of first-order differential equations.
VIII week exercises	First –order ordinary differential equations. Types of first-order differential equations.
IX week lectures	N-order of homogeneous linear differential equations with variable coefficients. The variation of constants method.
IX week exercises	N-order of homogeneous linear differential equations with variable coefficients. The variation of constants method.
X week lectures	N-order nonhomogeneous linear differential equations with variable and constant coefficients. Particular solutions. Boundary value problem.
X week exercises	N-order nonhomogeneous linear differential equations with variable and constant coefficients. Particular solutions. Boundary value problem.
XI week lectures	System of differential equations. The elimination method for solving a system of differential equations.System of linear differential equations. The variation of constants method.
XI week exercises	System of differential equations. The elimination method for solving a system of differential equations.System of linear differential equations. The variation of constants method.
XII week lectures	First-order Partial differential equations. Linear and Quasi-linear partial differential equations. Method of characteristics. Cauchy problem. System of partial differential equations with two equations and two variables.
XII week exercises	First-order Partial differential equations. Linear and Quasi-linear partial differential equations. Method of characteristics. Cauchy problem. System of partial differential equations with two equations and two variables.
XIII week lectures	Notion of the second –order partial differential equation.Classification of the second-order partial differential equations and canonical forms. Application in physics.
XIII week exercises	Notion of the second –order partial differential equation.Classification of the second-order partial differential equations and canonical forms. Application in physics.
XIV week lectures	Heat equation. Laplace's equation. Dirichlet problem for circle.
XIV week exercises	Heat equation. Laplace's equation. Dirichlet problem for circle.
XV week lectures	Second test.
XV week exercises	Second test.

Student workload	Weekly 6 credits x 40/30 = 8 hours Total work for course 6x30 = 180 hours
Per week	Per semester
4 credits x 40/30=5 hours and 20 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 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	Literature: R. Šćepanović, Matematika II, Univerzitetska riječ, 1988. Nikšić. R. Šćepanović, M. Martinović: Diferencijalne jednačine, Unirex+PMF, 1994. Podgorica.
Examination methods	- Two tests, First test-25 points, Second test -25 points - Final exam-50 points - Minimal score for pass-51
Special remarks	The lectures are done by professor and students (30).
Comment	Additionally information can be obtained from the professor, teaching assistant, 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 / CIVIL ENGINEERING / SOIL AND ROCK MECHANICS

Course:

SOIL AND ROCK MECHANICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2445	Obavezan	4	7	3+1+2

Programs	CIVIL ENGINEERING
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
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 2 sat(a) practical classes 1 excercises 3 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 9 hour(s) i 20 minuts x 16 =149 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 9 hour(s) i 20 minuts x 2 =18 hour(s) i 40 minuts Total workload for the subject: 7 x 30=210 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) 42 hour(s) i 0 minuts Workload structure: 149 hour(s) i 20 minuts (cources), 18 hour(s) i 40 minuts (preparation), 42 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 / CIVIL ENGINEERING / MATHEMATICS IV

Course:

MATHEMATICS IV/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2447	Obavezan	4	4	2+1+0

Programs	CIVIL ENGINEERING
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 / CIVIL ENGINEERING / STRENGTH OF MATERIALS II

Course:

STRENGTH OF MATERIALS II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2448	Obavezan	4	7	3+2+1

Programs	CIVIL ENGINEERING
Prerequisites	Mechanics I
Aims	Through this course, students are introduced to the fundamental principles of the mechanics of a deformable body. The main goal is to provide understanding of the stress-strain analysis and behaviour of a construction elements under an arbitrary external load, dominantly based on elasticity theory, but also with elements of the theory of plasticity. The derivation and application are focused on civil engineering problems as introduction to courses in semesters to come.
Learning outcomes	1. Understanding the fundamental principles of the mechanics of deformable bodies, 2. The ability to analyze the stress-strain behaviour of the beam under complex external load, 3. Mastering energy methods for determining deformations of statically determined and undetermined systems, 4. Understanding stability problems of slender columns under compressive load, 5. Mastering the basic concepts of elastoplastic analysis of beam-like structures.
Lecturer / Teaching assistant	Prof. Olga Mijušković, Ph.D. -professor BSc Anja Glogovac -teaching assistant
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 case of transversally loaded beams. Shear stress caused by shear forces and distribution of shear stresses in the cases of different cross sections. Jourawski formula
I week exercises	General case of transversally loaded beams. Jourawski formula.
II week lectures	Transversally loaded beams. Thin-walled cross sections. Shear center of beam. Stress trajectories.
II week exercises	Transversally loaded beams. Thin-walled cross sections. Shear center of beam. Stress trajectories.
III week lectures	Transversally loaded beams. Complex cross sections. Slope and deflection in beams. Differential equations of the deflection elastic curve.
III week exercises	Transversally loaded beams. Stress trajectories. Slope and deflection in beams. Differential equations of the deflection elastic curve.
IV week lectures	Slope and deflection in beams. Maxwell-Mohr area-moment method. Superposition method.
IV week exercises	Slope and deflection in beams. Maxwell-Mohr area-moment method. Superposition method.
V week lectures	Combined loadings
V week exercises	Examples of combined loadings
VI week lectures	Bending of the curved bars
VI week exercises	Examples of combined loadings- Test 1
VII week lectures	Energy methods. Elastic strain energy due to axial, shear force, bending and torsion moments. Castigliano’s theorems.
VII week exercises	Statically indeterminate systems
VIII week lectures	Energy methods. Influence coefficients – Betti-Maxwell principle. Maxwell–Mohr integrals.
VIII week exercises	Statically indeterminate systems
IX week lectures	Application of energy methods beam elements. Maxwell–Mohr integrals. Graph Multiplication Method - Vereshchagin rule.
IX week exercises	Application of energy methods on beam elements. Deformation of statically determinate systems. EXAM 1
X week lectures	Application of energy methods to statically indeterminate systems
X week exercises	Application of energy methods to statically indeterminate systems
XI week lectures	Stability and buckling. Euler’s method for stability analysis. Definition of critical load of a column. Slenderness ratio of the column.
XI week exercises	Application of energy methods beam elements. Deformation of statically indeterminate systems. EXAM 1
XII week lectures	Stability of eccentrically loaded beams. Plastic buckling.
XII week exercises	Stability of a structure under compressive loading conditions. Test 2
XIII week lectures	Elasto-plastic analyses of beam-like structures. Basic concepts of yield and ultimate moment.
XIII week exercises	Stability of a structure under compressive loading conditions. Elasto-plastic analyses of beam-like structures. Yield and ultimate moment for different cross sections
XIV week lectures	Deformation of the beam in elasto-plastic domain and formation of plastic hinges. Methods for ultimate load determination.
XIV week exercises	Ultimate load determination.
XV week lectures	Exam preparation
XV week exercises	Ultimate load determination.

Student workload	Weekly 7 credits x 40/30 = 9 hours and 20 min. Structure: Lectures: 3 hours Tutorials: 2 hours Practical classes: 1 hour Individual work including consultations: 3 hours and 20 min During the semester Teaching and final exam: (9 hours and 20 min) x 16 = 149 h 20 min Necessary preparations: Before start of the semester (administration, registration) 2x(9 hours and 20 min) = 18 hours and 40 min. Total course hours: 7 x 30 = 210 hours Additional hours: 42 hours Structure of workload: (149 hours and 20 min - lectures) + (18 hours andi 40 min - preparation) + (42 hours – additional hours) =210 hours
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 1 sat(a) practical classes 2 excercises 3 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 9 hour(s) i 20 minuts x 16 =149 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 9 hour(s) i 20 minuts x 2 =18 hour(s) i 40 minuts Total workload for the subject: 7 x 30=210 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) 42 hour(s) i 0 minuts Workload structure: 149 hour(s) i 20 minuts (cources), 18 hour(s) i 40 minuts (preparation), 42 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 (tests, exam 1, final exam).
Consultations
Literature	Prof. dr Radenko Pejović, OTPORNOST MATERIJALA, Građevinski fakultet, 2015, Podgorica Prof.dr Biljana Deretić-Stojanović, Prof.dr Šerif Dunica. OTPORNOST MATERIJALA, 2018, Beograd Prof. dr Vlatko Brčič, OTPORNOST MATERIJALA, Građevinska knjiga, 1989, Beograd Prof. dr Vlado Lubarda, OTPORNOST MATERIJALA, Univerzitetska riječ, 1989, Titograd
Examination methods	Forms of Assessment: - Regular attendance - max 2 points - Tests - 2 x 4 = max 8 points - Exam 1 – max 45 points - Final exam - max 45 points Passing grade is achieved with a minimum of 50 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 / CIVIL ENGINEERING / MASONRY STRUCTURES

Course:

MASONRY STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2450	Obavezan	5	4.5	2+1+1

Programs	CIVIL ENGINEERING
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
4.5 credits x 40/30=6 hours and 0 minuts 2 sat(a) theoretical classes 1 sat(a) practical classes 1 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 6 hour(s) i 0 minuts x 16 =96 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 6 hour(s) i 0 minuts x 2 =12 hour(s) i 0 minuts Total workload for the subject: 4.5 x 30=135 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) 27 hour(s) i 0 minuts Workload structure: 96 hour(s) i 0 minuts (cources), 12 hour(s) i 0 minuts (preparation), 27 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 / CIVIL ENGINEERING / FUNDATION ENGINEERING

Course:

FUNDATION ENGINEERING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2451	Obavezan	5	5	2+1+1

Programs	CIVIL ENGINEERING
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 / CIVIL ENGINEERING / STEEL STRUCTURES

Course:

STEEL STRUCTURES/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
2536	Obavezan	5	6.5	3+1+2

Programs	CIVIL ENGINEERING
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
6.5 credits x 40/30=8 hours and 40 minuts 3 sat(a) theoretical classes 2 sat(a) practical classes 1 excercises 2 hour(s) i 40 minuts of independent work, including consultations	Classes and final exam: 8 hour(s) i 40 minuts x 16 =138 hour(s) i 40 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 8 hour(s) i 40 minuts x 2 =17 hour(s) i 20 minuts Total workload for the subject: 6.5 x 30=195 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) 39 hour(s) i 0 minuts Workload structure: 138 hour(s) i 40 minuts (cources), 17 hour(s) i 20 minuts (preparation), 39 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 / CIVIL ENGINEERING / BRIDGE FUNDAMENTALS

Course:

BRIDGE FUNDAMENTALS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
3472	Obavezan	5	3	2+1+0

Programs	CIVIL ENGINEERING
Prerequisites	Otpornost materijala I i II, Građevinski materijali, Osnove saobraćajnica
Aims	Through this subject, basic knowledge in the field of designing and building bridges is acquired
Learning outcomes	After passing the exam, the student will: 1. have knowledge of the basic structural systems of bridges 2. looks at the dispositional solution of the bridge 3. constructs the cross-section of roadway and span structures of bridges 4. recognizes different construction technologies 5. examines the problems of bridge durability and maintenance
Lecturer / Teaching assistant	Assit. Prof. dr Nina Serdar MSc. Jovan Furtula
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. History of bridge construction.
I week exercises	Description of the method of preparation of semester work.
II week lectures	Basic terms and definitions. Prerequisites for designing bridges. Design bases.
II week exercises	Basic terms needed for layout drawing
III week lectures	Traffic conditions: basic grade forms, free profile on the bridge Bearing systems of bridges. Ways of valorizing project solutions. Participants in the construction of the bridge
III week exercises	Basic terms needed for layout drawing
IV week lectures	Girder and frame system: characteristics, cross-sections. Integral bridges.
IV week exercises	Cross-sections of span structures of girder and frame bridges.
V week lectures	Arch systems: characteristics, analysis and cross-sections
V week exercises	Box sections, I and T beams
VI week lectures	Functional-traffic equipment.
VI week exercises	Static bridge systems - beam and frame systems - solutions
VII week lectures	Substructure of bridges.
VII week exercises	Static bridge systems - arch systems - solutions
VIII week lectures	Expansion joints and bearings.
VIII week exercises	Fences and cornices
IX week lectures	Concrete bridge construction technology.
IX week exercises	Bridge piers - variants and solutions
X week lectures	Characteristics, analysis and method of construction of suspension bridges.
X week exercises	Bridge abutments - variants and solution
XI week lectures	Characteristics, analysis and method of construction of cable stayed bridges.
XI week exercises	Drainage elements and installations, bearings and expansion joints and devices
XII week lectures	Mechanisms of destruction of concrete structures. Damage to bridges.
XII week exercises	Selection of bearings.
XIII week lectures	Maintenance of bridges. Bridge management system.
XIII week exercises	Selection of expansion devices. Improvement of the bridge layout drawings.
XIV week lectures	Test
XIV week exercises	Test
XV week lectures	Handover of the students semester work
XV week exercises	Handover of the students semester work

Student workload
Per week	Per semester
3 credits x 40/30=4 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 1 excercises 1 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 4 hour(s) i 0 minuts x 16 =64 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 0 minuts x 2 =8 hour(s) i 0 minuts Total workload for the subject: 3 x 30=90 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) 18 hour(s) i 0 minuts Workload structure: 64 hour(s) i 0 minuts (cources), 8 hour(s) i 0 minuts (preparation), 18 hour(s) i 0 minuts (additional work)
Student obligations
Consultations	room 122
Literature	1. M. Pržulj: Mostovi, Udruženje "Izgradnja", Beograd, 2014. Dopunska literatura: 2. Priručnik za projektovanje puteva u Republici Srbiji, Beograd 2012. 3. Tehničke smjernice za javne ceste – objekti na cestama Slovenije - SODOC
Examination methods	Knowledge and understanding demonstrated during the preparation of the semester work at the end of semester 5 to 20 Test 0 to 20 Final exam 0 to 60 Note: A positively evaluated essay is scored with 5 points. Quality of work is valued d with an additional maximum of 15 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 / CIVIL ENGINEERING / CIVIL ENGINEERING MECHANICS I

Course:

CIVIL ENGINEERING MECHANICS I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
8313	Obavezan	1	7	3+3+0

Programs	CIVIL ENGINEERING
Prerequisites
Aims
Learning outcomes	After passing the exam, the student adopts the theory of Statics and its application to specific construction problems. Students have adopted the basic concepts of Statics , basic laws and theorems important for the education of civil engineers.
Lecturer / Teaching assistant	Dr Olga Mijušković - nastavnik, Mr Ivana Drobnjak - saradnik
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Basic concepts and definitions. Concept and types of connections. Types of forces.
I week exercises	Basic concepts and definitions. Concept and types of connections. Types of forces.
II week lectures	Statics of point. Conditions of equilibrium. Arch with three joints. Static definitness.
II week exercises	Statics of point. Conditions of equilibrium. Arch with three joints. Static definitness.
III week lectures	Rotating effect of force. Moment of force for point and axis. Varinjonovs theorem.
III week exercises	Rotating effect of force. Moment of force for point and axis. Varinjonovs theorem.
IV week lectures	Coupling of forces. Summ and equilibrium of torques. Basic theorems of statics, the main vector and the main torque. Terms of equilibrium.
IV week exercises	Coupling of forces. Summ and equilibrium of torques. Basic theorems of statics, the main vector and the main torque. Terms of equilibrium.
V week lectures	Reducing system of forces on a simpler form. Dynamo. Hamiltons center.
V week exercises	Reducing system of forces on a simpler form. Dynamo. Hamiltons center.
VI week lectures	Theory of friction. Sliding friction. Rolling friction. Friction of rope on a cylindricals surface.
VI week exercises	Theory of friction. Sliding friction. Rolling friction. Friction of rope on a cylindricals surface.
VII week lectures	Flat beams. The relationship between the external load and internal forces.
VII week exercises	Flat beams. The relationship between the external load and internal forces.
VIII week lectures	First test
VIII week exercises	First test
IX week lectures	Diagram of axial forces (N), shear forces (T) and bending moments (M).
IX week exercises	Diagram of axial forces (N), shear forces (T) and bending moments (M).
X week lectures	Diagram of axial forces (N), shear forces (T) and bending moments (M).
X week exercises	Diagram of axial forces (N), shear forces (T) and bending moments (M).
XI week lectures	Truss carriers. Types of trusses and forces in them. Cremonini plan and Ritters method
XI week exercises	Truss carriers. Types of trusses and forces in them. Cremonini plan and Ritters method
XII week lectures	Second test
XII week exercises	Second test
XIII week lectures	Spatial girders and forces in their cross section. Diagrams of N T M for spatial girders.
XIII week exercises	Spatial girders and forces in their cross section. Diagrams of N T M for spatial girders.
XIV week lectures	Cable, forces in it and the conditions of equilibrium. Types of cables.
XIV week exercises	Cable, forces in it and the conditions of equilibrium. Types of cables.
XV week lectures	Center of the parallel system of forces. Method of determining the center of gravity. Guldins theorems.
XV week exercises	Center of the parallel system of forces. Method of determining the center of gravity. Guldins theorems.

Student workload
Per week	Per semester
7 credits x 40/30=9 hours and 20 minuts 3 sat(a) theoretical classes 0 sat(a) practical classes 3 excercises 3 hour(s) i 20 minuts of independent work, including consultations	Classes and final exam: 9 hour(s) i 20 minuts x 16 =149 hour(s) i 20 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 9 hour(s) i 20 minuts x 2 =18 hour(s) i 40 minuts Total workload for the subject: 7 x 30=210 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) 42 hour(s) i 0 minuts Workload structure: 149 hour(s) i 20 minuts (cources), 18 hour(s) i 40 minuts (preparation), 42 hour(s) i 0 minuts (additional work)
Student obligations
Consultations
Literature	Natalija Naerlović – Veljković: Mehanika I, Nauka, Beograd 1996. D. Grbić, S. Brčić, D. Šumarac i dr. Mehanika I, Zbirka rešenih ispitnih zadataka, Naučna knjiga Beograd 1998.
Examination methods
Special remarks
Comment	Additional information can be obtained at the present teaching staff, Head of the study program with Vice Dean for 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 / CIVIL ENGINEERING / INTRODUCTION TO CIVIL ENGINEERING

Course:

INTRODUCTION TO CIVIL ENGINEERING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
8325	Obavezan	2	3	2+0+0

Programs	CIVIL ENGINEERING
Prerequisites	There is no conditionality by other exams.
Aims	Introduction to the basic concepts in construction and architecture, and the greatest achievements of construction in history as well. Introduction to the most important areas of civil engineering. To understand the historical development of the profession of civil engineer.
Learning outcomes	After passing the exam, students will: 1. Know the basic concepts in construction and architecture and be prepared to listen to courses in the coming semesters; 2. Have an insight into the specifics of the profession of civil engineer and various fields of construction, as well as modern concepts in construction such as sustainable development, energy efficiency and green building; 3. Know the basics of the history of construction, as well as the most influential authors and their facilities; 4. Know the basic concepts in the construction of bridges, buildings, roads, then hydraulic and geotechnics and project management.
Lecturer / Teaching assistant	Marija Jevrić
Methodology	Lectures and consultations, visiting construction sites

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction to the objectives of the subject. Basic concepts in construction and architecture. Selected examples of top construction skills. About the profession of a civil engineer.
I week exercises
II week lectures	History of construction and architecture: construction in Prehistory; architecture, cities and canals of Mesopotamia. Egyptian temples and tombs. Cretan - Mycenaean culture. Rome and the engineers of antiquity. Architecture of Byzantium and Romanesque.
II week exercises
III week lectures	Vaults and supports of Gothic cathedrals. Renaissance architecture, fortifications and cities. Prominent constructors. Baroque, Rococo and Classicism.
III week exercises
IV week lectures	The Industrial Revolution. Great engineers and architects of the XX Century. Roads, railways and hydraulic constructions of the XX Century.
IV week exercises
V week lectures	Technical regulations, standards and norms in the field of construction; technical documentation; types of construction jobs;
V week exercises
VI week lectures	Energy efficiency / hosting professionals from the industry sector
VI week exercises
VII week lectures	Visiting the construction site
VII week exercises
VIII week lectures	Contemporary construction: Construction project management, basic concepts and the importance of it.
VIII week exercises
IX week lectures	Contemporary construction: Tall buildings, basic principles of design and construction.
IX week exercises
X week lectures	Contemporary construction: Bridges, basic construction systems and construction methods.
X week exercises
XI week lectures	Contemporary construction: Roads, basic concepts and design principles.
XI week exercises
XII week lectures	Contemporary construction: Basic concepts of hydraulic engineering. Dams and hydraulic structures, basic principles of design and construction.
XII week exercises
XIII week lectures	Contemporary construction: Underground objects, basic principles of design and construction. Basic concepts of geotechnics.
XIII week exercises
XIV week lectures	Contemporary construction: Wooden constructions, basic principles of design and construction.
XIV week exercises
XV week lectures	Presentations of seminal papers.
XV week exercises

Student workload	Weekly 3.0 credits x 40/30 = 4 hours Total workload to the course: 3.0 x 30 = 90 hours
Per week	Per semester
3 credits x 40/30=4 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 0 excercises 2 hour(s) i 0 minuts of independent work, including consultations	Classes and final exam: 4 hour(s) i 0 minuts x 16 =64 hour(s) i 0 minuts Necessary preparation before the beginning of the semester (administration, registration, certification): 4 hour(s) i 0 minuts x 2 =8 hour(s) i 0 minuts Total workload for the subject: 3 x 30=90 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) 18 hour(s) i 0 minuts Workload structure: 64 hour(s) i 0 minuts (cources), 8 hour(s) i 0 minuts (preparation), 18 hour(s) i 0 minuts (additional work)
Student obligations	To attend lectures, do seminal papers and sit their exams.
Consultations	Mon, 11-12 h Thu, 11-12 h
Literature
Examination methods	The forms of knowledge testing and grading:
Special remarks
Comment	Additional information can be obtained at the present teaching staff, Head of the study program, and at Vice Dean for 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 / CIVIL ENGINEERING / CIVIL ENGINEERING MECHANICS II

Course:

CIVIL ENGINEERING MECHANICS II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
8326	Obavezan	2	6	2+2+0

Programs	CIVIL ENGINEERING
Prerequisites
Aims
Learning outcomes	After passing the exam, students have adopted the basic concepts of the mechanics of movement, important for the education of civil engineers. They adopted the basic laws and theorems of dynamics related to the mechanical motion of material point or system of material points and bodies.
Lecturer / Teaching assistant	Dr Ljiljana Žugić - nastavnik Mr Ivana Drobnjak - saradnik
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Basic concepts of geometry of movement. Sectoral speed. Bineos form.
I week exercises	Basic concepts of geometry of movement. Sectoral speed. Bineos form.
II week lectures	Tangential and normal components of acceleration of point. Degrees of freedom. Generalized coordinates.
II week exercises	Tangential and normal components of acceleration of point. Degrees of freedom. Generalized coordinates.
III week lectures	Translational movement of rigid body. Rotation of rigid body in regard to a fixed axis.
III week exercises	Translational movement of rigid body. Rotation of rigid body in regard to a fixed axis.
IV week lectures	Straight motion of a rigid body. Theorem of velocity and acceleration of points in the plane.
IV week exercises	Straight motion of a rigid body. Theorem of velocity and acceleration of points in the plane.
V week lectures	Turning rigid body in regard to a fixed point. Free and complex movements of point.
V week exercises	Turning rigid body in regard to a fixed point. Free and complex movements of point.
VI week lectures	First test
VI week exercises	First test
VII week lectures	The main tasks of the dynamics. Differential equations of motion of point. Leaning shot.
VII week exercises	The main tasks of the dynamics. Differential equations of motion of point. Leaning shot.
VIII week lectures	Work force. Basic theorems of dynamics of point.
VIII week exercises	Work force. Basic theorems of dynamics of point.
IX week lectures	D`Alamber`s principle for the point. Relative movement of the point.
IX week exercises	D`Alamber`s principle for the point. Relative movement of the point.
X week lectures	Free and forced, damped and undamped oscillations of a material point.
X week exercises	Free and forced, damped and undamped oscillations of a material point.
XI week lectures	Free and forced, damped and undamped oscillations of a material point.
XI week exercises	Free and forced, damped and undamped oscillations of a material point.
XII week lectures	Generalized coordinates. Langrange-D`Alamber`s principle in generalized coordinates.
XII week exercises	Generalized coordinates. Langrange-D`Alamber`s principle in generalized coordinates.
XIII week lectures	Second test
XIII week exercises	Second test
XIV week lectures	Langranges equations of the second type.
XIV week exercises	Langranges equations of the second type.
XV week lectures	The conditions of stability of the system. Frequency equation.
XV week exercises	The conditions of stability of the system. Frequency equation.

Student workload
Per week	Per semester
6 credits x 40/30=8 hours and 0 minuts 2 sat(a) theoretical classes 0 sat(a) practical classes 2 excercises 4 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	Natalija Naerlović – Veljković: Mehanika II, Nauka, Beograd 1996. Olivera Jovanović - Zbirka riješenih zadataka iz Mehanike II, Univerzitet Crne Gore, Podgorica 1998.
Examination methods
Special remarks
Comment	Additional information can be obtained at the present teaching staff, Head of the study program with Vice Dean for 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 / CIVIL ENGINEERING / FOUNDAMENTALS OF SOIL AND ROCKS MECHANICS

Course:

FOUNDAMENTALS OF SOIL AND ROCKS MECHANICS/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10259	Obavezan	4	6	3+1+1

Programs	CIVIL ENGINEERING
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 / CIVIL ENGINEERING / FOUNDAMENTALS OF SEISMIC ENGINEERING

Course:

FOUNDAMENTALS OF SEISMIC ENGINEERING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10260	Obavezan	4	4	2+1+0

Programs	CIVIL ENGINEERING
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 / CIVIL ENGINEERING / ENGLISH LANGUAGE I

Course:

ENGLISH LANGUAGE I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10262	Obavezan	1	4	2+2+0

Programs	CIVIL ENGINEERING
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 2 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 / CIVIL ENGINEERING / ENGLISH LANGUAGE II

Course:

ENGLISH LANGUAGE II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10263	Obavezan	2	4	2+2+0

Programs	CIVIL ENGINEERING
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 2 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 / CIVIL ENGINEERING / ENGLISH LANGUAGE III

Course:

ENGLISH LANGUAGE III/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10264	Obavezan	3	4	2+2+0

Programs	CIVIL ENGINEERING
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 2 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 / CIVIL ENGINEERING / STEEL STRUCTURES I

Course:

STEEL STRUCTURES I/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10903	Obavezan	5	5	2+1+1

Programs	CIVIL ENGINEERING
Prerequisites	Construction materials, Strength of materials II
Aims	Acquiring basic knowledge of designing steel structures.
Learning outcomes	After completing this exam, the student will be able to: grasp the basic design concepts of steel structures, design according to limit states, know all types of steel products used in construction, classify cross sections and calculate the resistance of sections and elements of steel structures.
Lecturer / Teaching assistant	Dr Duško Lučić - professor Mr Petar Subotić - teaching associate
Methodology	Lectures, exercises, laboratory exercises, assignments, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introductory remarks. General information about steel structures and steel as a building material. Application of steel in construction, the most important buildings.
I week exercises	Construction design process. Eurocodes for steel structures. Design according to limit states (ultimate and serviceability limit states, combination of actions).
II week lectures	Properties and characteristics of steel. Steel grades and adopted nomenclature. Steel products.
II week exercises	Classification of cross sections. Cross section resistance. Buckling resistance of members.
III week lectures	Ultimate limit states. Resistance of cross sections - introduction. Characteristics of cross sections - gross, net section. Tension.
III week exercises	Classification of cross sections. Examples of cross-section class determination. Assignment 01.
IV week lectures	Compression. Bending.
IV week exercises	Resistance of cross sections - introduction. Characteristics of cross sections - gross, net section. Tension. Assignment 02.
V week lectures	Shear. Torsion.
V week exercises	Compression. Bending. Assignment 03.
VI week lectures	Bending and shear. Bending and axial force. Bending, shear and axial force.
VI week exercises	Shear. Torsion. Assignment 04.
VII week lectures	Bending and shear. Bending and axial force. Bending, shear and axial force.
VII week exercises	Bending and shear. Bending and axial force. Bending, shear and axial force. Assignments 05 and 06.
VIII week lectures	Buckling resistance of members - introduction. Compression members - buckling check. Elastic critical force. Imperfections and the plasticity. Torsional and flexural-torsional buckling.
VIII week exercises	Compression members with constant cross section - MEST EN 1993-1-1. Buckling curves. Slenderness for flexural buckling. Flexural buckling for truss members. Slenderness for torsional and flexural-torsional buckling.
IX week lectures	Built up compression members. Design procedure. Built up compression members with lacings and batenings. Closely spaced built up compression members.
IX week exercises	Compression members with constant cross-section. Assignment 07.
X week lectures	Members in bending - Verification of lateral torsional buckling - introduction. Uniform members in bending - MEST EN 1993-1-1. Lateral torsional buckling curves. Simplified method. Calculation of the elastic critical lateral torsional buckling moment.
X week exercises	Built up compression members. Assignment 08.
XI week lectures	Uniform members in bending. Lateral torsional buckling, general case. Assignment 09.
XI week exercises	Uniform members in bending. Lateral torsional buckling, alternative method and simplified procedure.
XII week lectures	Uniform members in bending and axial compression. Interaction factors.
XII week exercises	Uniform members in bending and axial compression. Assignment 10.
XIII week lectures	Use of commercial and free software. Benefits, challenges and dangers. Presentation, design of a simple beam.
XIII week exercises	Use of commercial and free software. Benefits, challenges and dangers. Presentation, design of a simple beam.
XIV week lectures	Recapitulation of the material covered. Preparation for the final exam.
XIV week exercises	Recapitulation of the material covered. Preparation for the final exam.
XV week lectures	Recapitulation of the material covered. Preparation for the final exam.
XV week exercises	Recapitulation of the material covered. Preparation for the final exam.

Student workload	During the semester Classes and final exam: (6 hours 40 minutes) x 16 = 106 hours 40 minutes Necessary preparations before the beginning of the semester (administration, registration, certification) 2 x (6 hours and 40 minutes) = 13 hours and 20 minutes Total workload for the course 5.0x30 = 150 hours Supplementary work for exam preparation in the make-up exam period, including taking the make-up 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 hours and 40 minutes. (Clases) + 13 hours and 20 minutes. (Preparation) + 30 hours (Supplementary work) Weekly: 5.0 credits x 40/30 = 6 hours and 40 minutes Structure: 2 hours of lectures 2 hours of exercises 2 hours and 40 minutes of independent work
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	The student is obliged to do the assignments, take the tests and the final exam (the precondition for the final exam is the completion of each assignment correctly).
Consultations	Prof. phd Duško Lučić Tuesday, Wednesday, Thursday and Friday 12.00 -13.00 h Mr Petar Subotić Tuesday 12.00-14.00 h and Wednesday 11.00 - 13.00 h
Literature	1. MEST EN 1993-1-1 – Eurokod 3 - Projektovanje čeličnih konstrukcija – Dio 1-1: Opšta pravila i pravila za zgrade 2. MEST EN 1990 – Eurokod 0 - Osnove projektovanja konstrukcija 3. MEST EN 1993-1-10 – Eurokod 3 - Projektovanje čeličnih konstrukcija – Dio 1-10: Žilavost materijala i svojstva po debljini 4. N. Trahair, M. Bradford, et al: The behaviour and design of steel structures to EC3 (internet izdanje) 5. L.S. Da Silva, R. Simoes, H. Gervasio: Design of steel structures EC3: Part 1-1-General rules and rules for buildings 6. L. Gardner, D. Nethercot: Designers guide to Eurocode 3: Design of steel buildings (interenet izdanje) 7. Z. Marković: Granična stanja čeličnih konstrukcija, Građevinski fakultet, Beograd, 2014.
Examination methods	Continuous assessment during the semester, through assignments and tests and at the final exam. Class attendance can be valued up to 5 points. The following is evaluated: - assignments: 10 x 0.6 = 6 - tests: 3 x (3 to 8) = 9 to 24 - final exam: 0 to 70 - Tests and the final exam are written. - Defense of assignments is oral.
Special remarks	Additional information about the subject can be obtained from the subject professor, associate, head of the study program and vice dean for teaching.
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 / CIVIL ENGINEERING / STEEL STRUCTURES II

Course:

STEEL STRUCTURES II/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10904	Obavezan	6	5	2+1+1

Programs	CIVIL ENGINEERING
Prerequisites	Construction materials, Strength of materials II
Aims	Acquiring basic knowledge of designing steel structures.
Learning outcomes	After passing this exam, the student will be able to: design plated girders with and without longitudinal stiffeners, to design cross-sections of class 4, to calculate the resistance for shear buckling and for the action of transverse forces, as well as for the interaction of bending and shear, then to design joints and splices of structural elements made with bolts and rivets or welded connections, especially structural joints connecting H or I sections (component method, decomposition into basic components and the resistances of each component) and to design hollow section joints.
Lecturer / Teaching assistant	Dr Duško Lučić - professor Mr Petar Subotić - teaching associate
Methodology	Lectures, exercises, laboratory exercises, assignments, consultations.

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introductory remarks. Designing plated girders - first part. Introduction. Shear lag. Local buckling due to normal stresses. Resistance check. Class 4 cross-sections. Effective cross section for members without longitudinal stiffeners.
I week exercises	Class 4 cross section. Effective characteristics of the cross section. Assignment 01.
II week lectures	Designing plated girders - second part. Effective cross section for members with longitudinal stiffeners.
II week exercises	Resistance check of a plated girder. Assignment 02
III week lectures	Designing plated girders - third part. Shear buckling. Resistance to shear buckling. Web and flanges contribution. Resistance to transverse forces and to interaction of actions.
III week exercises	Resistance check of a plated girder - continued
IV week lectures	Designing joints and splices - the first part. Introduction. Basis of design. Mechanical fasteners. Screws. Rivets.
IV week exercises	Resistance check of a plated girder - continued
V week lectures	Designing joints and splices - part two. How are the fasteners loaded? Categories of bolted joints. Position of holes for bolts and rivets. Design resistance of bolts and rivets. Slip resistant joints. Design resistance for block tearing. Joints with pins
V week exercises	Design of joints and splices made with mechanical fasteners. Assignment 03.
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 / CIVIL ENGINEERING / FOUNDAMENTALS OF HYDRAULIC ENGINEERING

Course:

FOUNDAMENTALS OF HYDRAULIC ENGINEERING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10905	Obavezan	6	4	2+1+1

Programs	CIVIL ENGINEERING
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 / CIVIL ENGINEERING / SPECIAL TECHNIQUES OF FOUNDATION ENGINEERING

Course:

SPECIAL TECHNIQUES OF FOUNDATION ENGINEERING/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10906	Obavezan	6	4	2+1+1

Programs	CIVIL ENGINEERING
Prerequisites	-
Aims	The aim of the course is to acquire knowledge about special techniques for building foundations in specific foundation conditions.
Learning outcomes	After passing this exam, the student will be able to participate in the development of projects and the execution of specific types of shallow and deep foundations; creating design for the protection of foundation pits and improvement of the foundation soil; development of projects and execution of foundations in specific foundation conditions (marine structures, deep open water, landslides,filled soil, tailings and sanitary landfills).
Lecturer / Teaching assistant
Methodology

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. Defining soil and environmental conditions that require the application of special foundation construction techniques.
I week exercises	The foundation of the column of the industrial hall.
II week lectures	Construction of foundations in deep open water.
II week exercises	The foundation of the column of the industrial hall.
III week lectures	Application of computers in solving foundation problems. Winkler soil model. A soil model in which it is assumed that the soil is elastic, homogeneous and isotropic. Calculation of the foundation on an elastic base using the differential method. Problems of structure-foundation interaction, and foundation- soil interaction. Modeling of the soil-structure interaction using the finite element method.
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 / CIVIL ENGINEERING / ROAD SUBSTRUCTURE

Course:

ROAD SUBSTRUCTURE/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10907	Obavezan	6	5	2+1+1

Programs	CIVIL ENGINEERING
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 / CIVIL ENGINEERING / ZIDANE KONSTRUKCIJE

Course:

ZIDANE KONSTRUKCIJE/

Course ID	Course status	Semester	ECTS credits	Lessons (Lessons+Exercises+Laboratory)
10925	Obavezan	4	5	2+1+1

Programs	CIVIL ENGINEERING
Prerequisites	Does not have
Aims	Acquiring knowledge about the principles of designing masonry structures, strengthening and rehabilitation of damaged masonry structures.
Learning outcomes	After passing this exam, the student will be able to: 1. choose the appropriate materials for the construction of the masonry structure; 2. master the principles of designing masonry structures; 3. solve simple calculation models of masonry structure; 4. check the bearing capacity of non-reinforced masonry structures and structures with vertical cerclages; 5. recognize the causes of damage and propose methods of rehabilitation and strengthening of the masonry structure.
Lecturer / Teaching assistant	Assist. Prof. Dr. Nikola Baša - teacher; MSc Marko Božović - assistant;
Methodology	Lectures, exercises, elaboration, consultations

Plan and program of work
Preparing week	Preparation and registration of the semester
I week lectures	Introduction. A brief history of the construction of masonry buildings. Masonry elements and mortars. Division of masonry structures.
I week exercises	Conceptual project of a residential masonry building. Explanation of the task. Basic instructions for making.
II week lectures	Behavior of masonry under load. Fracture mechanisms. Basics of designing masonry buildings. Behavior of masonry buildings during earthquakes. Examples of damage.
II week exercises	Conceptual project of a residential masonry building. Dispositional solution of the structure of a residential masonry building.
III week lectures	Principles of aseismic design of masonry buildings. Choice of basis. Choice of geometry by height. Stiffness schedule. Favorable and unfavorable dispositional solutions. Disposition of the walls in the base. Rules for construction.
III week exercises	Conceptual project of a residential masonry building. Effects on the given residential building. Overview of the position plan.
IV week lectures	Effects on structures. The concept of effects, loads, forces, deformations. Classification of actions. Loads of buildings. Combinations of actions.
IV week exercises	Conceptual project of a residential masonry building. Effects on the given residential building. Overview of the position plan.
V week lectures	Calculation of masonry structures. Mechanical and deformation characteristics of unreinforced walls. Behavior under pressure. Wall strength: compression, bending, shear. Modulus of elasticity, volumetric deformations - shrinkage, creep and thermal expansion.
V week exercises	Conceptual project of a residential masonry building. Load analysis of construction elements.
VI week lectures	Calculation of masonry structures. Internal forces calculation. Vertical loads. Horizontal loads. Calculation models.
VI week exercises	Preparation for the first colloquium. Creation of examples and tasks.
VII week lectures	First colloquium
VII week exercises	First colloquium
VIII week lectures	Working diagram. Technical regulations and standards. Behavior under pressure.
VIII week exercises	Conceptual project of a residential masonry building. Seismic calculation of the structure. Distribution of forces at the base and height.
IX week lectures	Section calculation. Wall behavior in bending and shear.
IX week exercises	Conceptual project of a residential masonry building. Seismic calculation of the structure. Calculation of impact in walls.
X week lectures	Dimensioning of walls with vertical and horizontal cerclages and reinforced masonry walls.
X week exercises	Conceptual project of a residential masonry building. Dimensioning – checking the stress in the main elements of the structure.
XI week lectures	Rehabilitation and strengthening of masonry structures. Rehabilitation and strengthening of structures, introduction and definitions. Causes of damage.
XI week exercises	Conceptual project of a residential masonry building. Dimensioning – checking the stress in the main elements of the structure.
XII week lectures	Rehabilitation and strengthening of masonry structures of buildings. Introduction and definitions. Causes of damage. Damage classification. General principles of rehabilitation and strengthening.
XII week exercises	Conceptual project of a residential masonry building. Dimensioning – checking the stress in the main elements of the structure.
XIII week lectures	Rehabilitation of masonry buildings. Examples of buildings damaged by the earthquake. Explanation of the cause of the damage and how to choose repair methods.
XIII week exercises	Conceptual project of a residential masonry building. Review and assistance in the development of the project.
XIV week lectures	Assessment of knowledge and understanding demonstrated during the defense of the elaborate.
XIV week exercises	Conceptual project of a residential masonry building. Final acceptance and evaluation of the project.
XV week lectures	Second colloquium
XV week exercises	Second colloquium

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 classes regularly and to complete the concept design with quality and in accordance with the prescribed dynamics.
Consultations	Regular consultations during the week lasting 4 hours.
Literature	Mihailo Muravljov, Boško Stevanović: ZIDANE I DRVENE KONSTRUKCIJE, Građevinski fakultet Univerziteta u Beogradu, 1999. Grupa autora: ZEMLJOTRESNO INŽENJERSTVO, Građevinska knjiga, Beograd, 1990. Eurocode 6 - EN 1996-1-1: Projektovanje zidanih konstrukcija Eurocode 8 - EN 1998-1: Projektovanje seizmički otpornih konstrukcija Technical regulations and standards for loads
Examination methods	Work and knowledge during the semester, including the annual report, are graded with max. 70 points. Submission of the annual report is mandatory. The elaborate must be positively evaluated, with a minimum of 5 points. The final exam is graded with max. 30 points. A passing grade is obtained if at least 50 points are obtained.
Special remarks
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