STATE UNIVERSITY OF NOVI PAZAR - np.ac.rs · PDF fileM. Mišković, Električne instalacije i osvetljenje, Građevinska knjiga, 2007. Assessment and grading: ... STATE UNIVERSITY OF

STATE UNIVERSITY OF NOVI PAZAR

Course title: ENGLISH LANGUAGE

GENERAL INFORMATION

Year of study: - Lecturer: Sibela Eminović

Course status: Compulsory

Consultations (office hours): -

Year: 1 Programme of study:

Integrated academic studies: Civil engineering

Semester: II summer ECTS credits: 3

TIMETABLE

Lectures Seminars

15 (1 per week) 15 (1 per week)

COURSE DESCRIPTION

Mastering the basic aspects of English morphology and syntax, scientific terminology in English with an emphasis on the construction sector. Developing academic language skills in order to successfully use English for study and further professional training.

Corequisites & prerequisites: -

Course aims & objectives: The subject should provide knowledge and understanding about - General skills: distinguishing formal (academic ways of expression) and the informal style, correct and quick interpretation of technical texts and their critical analysis; Writing short texts; a successful oral competency on topics of common life and profession. - subject-specific skills: identification and the correct use of technical terms and grammatical elements specific to the civil engineering, efficient use of general and professional vocabulary.

Teaching methods: Lectures, exercises, midterm tests and the final exam. Consultations.

Садржај предмета:

I week Films & books, music Past Simple, Yes-no/ WH-questions, past time phrases

II week Talking about the news, comedies Articles, Vocabulary: words from news stories

III week Holiday activities, Modals: can/can’t for possibility, comparison of adjectives

IV week Planning a day out, come to the wedding – invitation cards

I’d rather…/I’d like…/I want

V week The meeting; transport strike today The Present Continuous Tense

VI week Talking on the phone, phone messages

Can for requests and possibility, suggestions

VII week The Adventure Centre Indoor and outdoor activities, adverbs and adjectives

VIII week Midterm test Midterm test IX week History of building (1) The Past Continuous Tense

X week History of building (2) Past Simple vs. Past Continuous XI week Structural forms (1) Passive Voice (1) XII week Structural forms (2) Passive Voice (2)

XIII week Management in Building (1) The Present Perfect Tense (1) XIV week Management in Building (2) The Present Perfect Tense (2) XV week Revision Revision

Student’s obligations: Students are required to attend lectures and exercises, midterms, and take the final written and oral exam.

Reading list: 1.Chris Redstone & Gillie Cunningham Face 2 Face (Elementary), Cambridge University Press, Cambridge, (2003) 2.Мирослава Хорватовић и др Милица Вулетић, Енглески језик, Грађевински факултет Београд, 3.Mark Ibbotson, Cambridge English for Engineering, Cambridge University press, New York, 2008 4. Laura Mongros Gaspar, Technical English for Civil Engineers:Constructions &Engineering Basics, Alicante, 2009 5. Christopher Gorse,David Johnston and Martin Pritchard: A Dictionary of Construction,Surveying,and Civil Engineering, Oxford University Press, New York -Ebook Облици провере знања и оцењивање:

I midterm test - 20 p. II midterm test – 20 p. Student engagement (and attendance on lectures) – 5 p. Student engagement (and attendance on seminars) – 5 p. Paper(s) -10 p. Oral exam – 40 p. Note – written exam is organized for students who have not passed the tests.

Students need to score at least 51% of the total points. Grades 6 7 8 9 10 No of points 55 – 64 65 – 74 75 – 84 85 – 94 95 – 100

Teacher who provided the information: Sibela Eminović


Course title: GEODESY

GENERAL INFORMATION

Year of study: - Lecturer: Nazim Manić, assistant professor


Teaching assistant: Halit Redžović

Year: 1 Consultations (office hours):

Semester: II summer Programme of study:


ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

The course consists of two parts. The first part contains the general section. Here, students are introduced to the basic concepts in geodesy. The second part deals with the practical part. Here students are introduced to the application of geodesy in the design, construction and exploitation of constructions.


Course aims & objectives: Through the study of topics provided in this curriculum, students should master reviewing the content area, its presentation to the media of the project and the acquisition of basic knowledge in the field of application of geodesy in civil engineering.


Course content: Lectures

I week

Information about the object: papers, midterms, exams, literature and so on. Introduction: definition, classification and basic tasks of geodesy. Survey area: Map and plan. The concept of coordinates and their use: latitude, longitude.

II week

The directional angle, calculating directional angle and the length of a longer coordinate endpoints. The concept of measures and measurements of length, area, angles. Scale and ratio: construction ratio. The concept of projections and its use in diameter.

III week The base survey: geodetic points and geodetic network. Tool accessories and measuring: length, area and angles (meter tape, sinker, badge, pyramids, theodolite)

IV week The concept of height and height difference: levelling, levelling

rails, wire straightener, sight crosses. Rating accuracy of measurements: the types of errors, the arithmetic mean. Levelling: levelling type, methods of levelling.

V week

Triangulation: the essence of triangulation, a type of routes in the triangulation, the method of determining the position of triangulation points. Polygon network: polygon points, the division of polygon mesh division, polygon calculations.

VI week

Application of geodesy in design stage and construction: the concept of design and the project. Determination of topographical plans deformation. Determination of points coordinates on topographic plans by graphic.

VII week Digitizer: digitizer types and their purpose. I Midterm test

VIII week

Methods of transferring the project to the field: the coordinate method and the method of intersection, marking points by rectangular and polar coordinates, the arched and direct method of intersection, determination of the necessary elements for transferring the project to the field, marking construction profiles for buildings and roads, transmission accuracy of individual elements of the terrain.

IX week Marking lines on the ground: marking directions

X week

Labelling of given angles: Transfer and labelling of various projected high-altitude points: marking of the task angle, marking horizontal and vertical and inclined lines. Transfer and labelling of various surfaces in the field: flat surfaces, spherical surfaces.

XI week Curves and their marking on the ground: the concept of the curve, types of curves, determining the elements for marking curves, determining the size of the rail angle, calculating the main elements of the curve.

XII week Calculating squares and volumes. XIII week Fieldwork, rapper, the use of theodolites, the use of levelling. XIV week Application of geodesy in service facilities.

XV week Presentation of seminar papers. II Midterm test.

Student’s obligations: Presentation of seminar papers and preparation for the final exam. Signing the index.

Reading list: Kontić. S., Geodezija, Građevinski fakultet, Beograd, 2004. M. Gostović: Geodezija, Građevinski fakultet Subotica, 1983. Assessment and grading:

I midterm test – 20 p. II midterm test – 20 p. Student engagement (and attendance on lectures) – 5 p. Student engagement (and attendance on seminars) – 5 p. Paper(s), graphic works -10 p. Oral exam – 40 p. Note – written exam is organized for students who have not passed the tests.


Teacher who provided the information: Nazim Manić, assistant professor


Course title: INSTALATIONS

GENERAL INFORMATION

Year of study: - Lecturer: Kemal Tahirbegović, professor


Teaching assistant: Zdravko Pantelić




ECTS credits: 4

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Introduction to the installations for the water supply of building and sanitation sources of drinking water, types of waste and sewage systems. HVAC installations: the basics of hygiene, outdoor climate conditions, heating, ventilation, air-conditioning, refrigeration, renewable energy sources, heat pumps, gas installations, as well as the installation of vertical transportation. Installations of the strong and weak currents, lightning, lightning rod, central control systems as well as special wiring.


Course aims & objectives: Students should understand the installation of water supply, sewerage, gas, vertical transportation, HVAC and electrical installations in buildings in terms of function, position in the building, the necessary space and their integration into modern solutions and building technologies, as well as learning about conditions that affect the architectural and building constructive solutions.

Teaching methods: Lectures, exercises, midterm tests and the final exam with consultations.

Course content: Preparation week: Preparation and semester enrolment

I week Introduction to the work methods, assessment and knowledge evaluation. Designing a home water supply network, principles, methods and hydraulic analysis and dimensioning of water pipes.

II week Axonometric scheme of water supply network, water supply of tall buildings, hydrocele, hydro stations, independent waterworks, testing and maintenance of the water supply network.

III week Sewage: city; home, faecal and rain. Basics and cross-sections through the faecal channels. Indoor sewage systems and wastewater treatment.

IV week Elements and assemblies of sewage systems, assembly, method of keeping the pipe through the building, and testing of the sewage network.

V week

Hygienic basis of HVAC installations: the man and the environment; microclimate parameters of space (temperature, humidity, etc.). External environmental conditions: climate zones; outdoor design temperature; windiness and frequency of wind. Information on all elements and

methodology of calculation of gains and losses of heat.

VI week

Central heating: history of development; classification according to the heating medium; type of distributors and the position of pipe networks, heat sources; Installation scheme; elements, function, position, method of installation; boilers, heat stations, chimneys; types of fuel, storage tanks; heaters.

VII week

Ventilation: The need for ventilation. Natural ventilation. Mechanical ventilation; Basic schemes and components, function, position, method of installation. The shape and dimensions of the air distribution channels. Regenerative heat recovery; the permitted level of noise and methods of noise level reducers.

VIII week Air conditioning: application; the division of air conditioning systems; the basic scheme, the elements of the installation of air conditioning; air handling, function, position, manner and place of installation.

IX week Refrigeration. Basic principles and operation of the refrigeration system, housing unit, division by way of condensation; Heat pumps.

X week Renewable energy; split systems, development and implementation; VRV (variable refrigerant volume) systems development and implementation. DHW.

XI week

Gas installations. Types and purposes of gas supply systems; Installation scheme. Types of gas consumers, gas boiler and positioning in the building; legislation. The installation of vertical transportation; elevators, moving walkways and escalators.

XII week Definition and types of electrical installations. Consumers of electricity. Basic components of electrical installations. Selection, deployment and connection of electrical components in electrical installations.

XIII week Electric calculations. Safety requirements and protection against electric shock. Grounding. Protection against excessive current.

XIV week The connection to the electricity grid. Distribution points and measurement. Overvoltage protection. Lightning conductor. The nature and sources of light. Photometric size and calculations.

XV week Electrical low voltage installations. Design and construction of electrical installations.

Student’s obligations: Lectures and exercises are compulsory. Papers and the final exam.

Reading list: B. Todorović, Projektovanje postrojenja za centralno grejanje, Mašinski fakultet, Beograd, 2009 B. Todorović, Klimatizacija, SMETS, Beograd, 2009. K. Tahirbegović, Termotehničke instalacije, skripta predavanja u elektronskoj formi, Državni univerzitet, Novi Pazar, 2011. S. Tomović, Električne instalacije niskog napona, Tehnička knjiga, 2000. M. Kostić, Teorija i praksa projektovanja električnih instalacija, Elektrotehnički fakultet, Beograd, 2005. M. Mišković, Električne instalacije i osvetljenje, Građevinska knjiga, 2007. Assessment and grading:

I midterm test – 20 p. II midterm test – 20 p. Student engagement (and attendance on lectures) – 5 p. Student engagement (and attendance on seminars) – 5 p. Paper(s), graphic works -10 p. Oral exam – 40 p. Note – written exam is organized for students who have not passed the tests.

Students need to score at least 51% of the total points.

Grades 6 7 8 9 10 No of points 55 – 64 65 – 74 75 – 84 85 – 94 95 – 100

Teacher who provided the information: Kemal Tahirbegović, professor


Course title: ENGINEERING GEOLOGY

GENERAL INFORMATION

Year of study: - Lecturer: Emin Memović, professor



Year: 1 Consultations (office hours): -



ECTS credits: 4

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Тhe introductory part of the course provides basic concepts of engineering geology and its relationship with other geological disciplines. Тhe origin and structure of the land and isostasy. The principles of mineralogy and physical, chemical and optical properties of minerals and an overview of petrogenic and ore minerals. Basic petrography and the division of rocks, or groups of magmatic sedimentary imetamorphic rocks and their impact on the environment. Geological chronology of land. Processing of the tectonic movements of the earth's crust, that is tangential and radial disorders. The principles of hydrogeology and physical and chemical properties of groundwater, aquifers and springs. The basic physical, mechanical and structural properties of rocks and rock masses. The basics of engineering geodynamics and engineering seismology, the engineering and geological exploration, and engineering and geological maps, sections and block diagrams.


Course aims & objectives: Through the study of the mentioned topics, students deal with the problems of engineering geology, and gain knowledge related to the land's crust made from various minerals and rocks; knowledge about groundwater, tectonic movements, geodynamic and seismic processes and engineering and geological studies.



I week Introductory lectures. Basic concepts of engineering geology, its historical development and its relationship with other geological disciplines.

II week The origin and structure of the land. Isostasy.

III week Basics of mineralogy. Physical, chemical and optical properties of minerals. Petrogenic and ore minerals. Minerals and the environment.

IV week Basics petrography. Creation and classification of rocks. Magmatic (igneous) rocks.

V week Sedimentary rocks. Metamorphic rocks. Rocks and the environment.

VI week Geological chronology country. The scale of geological time. Basics of tectonics.

VII week The tangential and radial disturbances and their impacts on the environment.

VIII week Basics of hydrogeology. The origin of groundwater. Aquifers. Wells.

IX week Engineering geological classification of rock masses. Basic physical, mechanical and structural properties of rock masses.

X week Fundamentals of Engineering geodynamics. The dissolution, leaching, erosion, abrasion, suffusion, slipping, flow, landslide, and liquefaction.

XI week Fundamentals of engineering seismology. Importance of seismology. Types of earthquakes, basic seismometrical data. Energy defining of earthquakes.

XII week Seismic regionalisation and micro regionalisation. Projected and maximal earthquake. The impact of the existing tectonic and geotechnical characteristics of the terrain on the consequences of the earthquake.

XIII week Engineering geological research. Types of engineering research. XIV week Engineering geological maps, sections and block diagrams. XV week Midterms.

Student’s obligations: Lectures and exercises are compulsory. Home works, seminar papers, midterms and the final exam.

Reading list: Miloš Vlahović, 1987. Inženjerska geologija sa osnovama geologije, Beograd, Građevinski fakultet. Jevremović D., 2003. Inženjerska geologija, Univerzitet u Nišu. Emin Memović, Vera Knežević-Đorđević, Vladica Cvetković, 2003. Osnovi petrografije, Univerzitet u Prištini. FTN Kosovska Mitrovica. Assessment and grading:

I midterm test – 20 p. II midterm test – 20 p. Student engagement (and attendance on lectures) – 5 p. Student engagement (and attendance on seminars) – 5 p. Paper(s), graphic works –10 p. Oral exam – 40 p. Note – written exam is organized for students who have not passed the tests.


Teacher who provided the information: Emin Memović, professor


Course title: MATHEMATICS I

GENERAL INFORMATION

Year of study: - Lecturer: Miomir Anđić, assistant professor


Teaching assistant: Aleksandar Radaković

Year: 1 Consultations (office hours): Saturdays

Semester: I winter Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

The subject should enable students to master the mathematical apparatus necessary for the theoretical-technical and vocational subjects. The acquisition of the basic knowledge that qualifies them for the mathematical modelling of real phenomena, but also to master the elements of logical thinking which enable them to solve problems in an algorithmic way.


Course aims & objectives: By the end of the course students should deepen their knowledge in real and complex numbers, matrix algebra, vector algebra, limit values of sequences and functions, and differential calculus of functions of one variable in order to gain theoretical and practical ideas about the concepts being taught in construction and to finally enable the modelling of real phenomena.



I week Real numbers. Mathematical induction. Binomial formula. II week Complex numbers. III week Polynomials. IV week Matrices and operations on matrices. Determinants. The inverse matrix.

V week Systems of linear equations. Kramer's formula. Matrix methods. Gauss algorithm. Rang matrix. Elementary transformations. Kronecker-Capelli theorem.

VI week Vector algebra. Scalar, vector and mixed vector product.

VII week The surface equation and the line equations in space. The equations of cylindrical, conical and rotary surfaces. Algebraic surfaces of the second order.

VIII week Numeric arrays. Convergence. Number of e as the limit of an array.

IX week Real functions of one real variable. Elementary functions. Limit value function.

X week Continuity of the function. Graphics function asymptote.

XI week Differential calculus of functions of one real variable. Geometric and mechanical interpretation. Basic theorems statements. An extract of the complex and inverse functions.

XII week Differential of function. XIII week Basic theorems of differential calculus.

XIV week Testing using the function extract. Monotonic function. Local extreme values. Critical points of functions. Functions convexity. Inflection points.

XV week Scheme for testing the function. Examples of current tests and graphing functions.

Student’s obligations: Lectures and exercises are compulsory. Students take midterm tests and the final exam.

Reading list: B. Mićić, M. Trifunović: Matematika 1, Beograd, Naučna knjiga 2004. M. Anđić: Matematika 1, FIT, Podgorica, 2009. B.Mićić, Lj. Čukić: Matematika 2, Akademska misao, Beograd, 2000. A.Erić, M. Marić-Dedijer, D.Rajković: Praktikum iz Matematike 2, Građevinski fakultet, Beograd, 2008. Assessment and grading:



Teacher who provided the information: Miomir Anđić, assistant professor


Course title: MATHEMATICS II

GENERAL INFORMATION







ECTS credits: 7

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Mathematics II, as a subject, should enable students to master the mathematical apparatus necessary for the theoretical and technical and vocational subjects. The acquisition of the basic knowledge that qualifies them for the mathematical modelling of real phenomena, but also to master the elements of logical thinking which enable them to solve problems in an algorithmic way.

Corequisites & prerequisites: Passed exam in Mathematics 1

Course aims & objectives: By the end of the course students should deepen their knowledge of integral calculus of functions of one variable, differential calculus of functions of two variables, endless numerical, functional, gradable and Fourier series; interpolation, numerical integration and numerical methods for solving nonlinear equations with the aim of to acquire theoretical and practical ideas about the concepts being taught in construction and to finally be able for the modelling of real phenomena.



I week Indefinite integral functions of one variable. The shift method and partial integration.

II week Integration of rational, irrational and trigonometric functions.

III week Definite integral. Geometrical and other applications of definite integrals. Gamma and beta functions and relationships between them.

IV week Functions of several variables. Derivatives and differentials of higher order. Taylor's formula.

V week Local and conditional extremes. VI week Numerical series. convergence and convergence criteria. VII week Midterm test 1 VIII week Functional series. Convergence and convergence criteria. IX week Degrees series. Taylor series.

X week Fourier series. Fourier series of even and odd functions. Development of functions of sine and cosine.

XI week The concept of interpolation. Lagrange interpolation polynomial. XII week Numerical integration. The trapezoidal formula. Simpson's formula.

XIII week Numerical methods for solving nonlinear equations. The halving method. The tangent method.

XIV week Midterm test 2 XV week Revision. Instructions for the final exam.

Student’s obligations: Lectures and exercises are compulsory. Home works, midterm tests and the final exam.

Reading list: B. Mićić, M. Trifunović: Matematika 1, Beograd, Naučna knjiga 2004. M. Anđić: Matematika 1, FIT, Podgorica, 2009. B.Mićić, Lj. Čukić: Matematika 2, Akademska misao, Beograd, 2000. A.Erić, M. Marić-Dedijer, D.Rajković: Praktikum iz Matematike 2, Građevinski fakultet, Beograd, 2008. Assessment and grading:





Course title: GEOMETRY OF DRAFTING

GENERAL INFORMATION

Year of study: - Lecturer: Predrag Rajković, professor



Year: 1 Consultations (office hours): Fridays



ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Introduction to the basic geometric objects and different ways of their design to the coordinate plane. Analysis of object based on their projections. Analysis of the mutual relations of objects and their cross sections. Projection of facilities into the plane in order to make them of materials. Introduction to the transformation of objects or coordinate systems. Application in construction.


Course aims & objectives: By the end of the course students should be able to work with sets of different geometric forms, understanding their relations and application of various transformations. Training for the design of the whole and parts. The skill to perceive the spatial forms and relations between them.



I week Introduction to Geometry of drafting. The centre of the design, projecting rays and plane. Orthogonal projection, coordinate trihedral, octants. Projection points.

II week Line projection. Line in a special position. Line penetrations through the projective plane. Mutual position of lines.

III week The plane. Special positions. Point, line and level. Arbitrary plane. The orthogonal tilting trihedral. Intersection level. Line penetration through the plane.

IV week Transformation. The introduction of the new projection plane. The true size of the figures. The transformation of the surface and body. Rotation. General method, right sizing objects.

V week Co linearity and affinity. The plane section of geometric bodies, prisms and pyramids.

VI week Metric tasks - constructing spatial forms in an arbitrary position.

VII week Piece projections. Point, line and plane.

VIII week

Regular polyhedron - the tetrahedron, hexahedron, octahedron, icosahedron. Conic sections. The section of the cone along the ellipse, parabola and hyperbola. Curves constructions. Rotary surface. Cylinder and cone. Sphere and torus.

IX week Helical and straight surfaces. Paraboloid, hyperboloid, conoid.

X week Mutual penetration of pointed geometric bodies. The penetration of two prisms, two pyramids, and penetration of a prism and a pyramid. Developing of the plane.

XI week Point, line and plane in the projection.

XII week Analysis of the plateau and the road. Construction of cuttings and embankments. Road profiles.

XIII week Axonometric projection. Roofs. Elements of the roof, simple and complex.

XIV week Analysis of the complex roof with examples of neighbours, towers and an inner courtyard.

XV week Oblique projection and application in the civil engineering.

Student’s obligations: Lectures and exercises are compulsory. Midterm tests and the final exam.

Reading list: A. Čučaković, Nacrtna geometrija, Akademska misao, Beograd, 2011. Lj. Gagić, Nacrtna geometrija, Akademska misao, Beograd 2002. M. Marković, Nacrtna geometrija, GAF, Niš, 1998. P. Anagnosti, Nacrtna geometrija, Nauka, Beograd, 1996. Assessment and grading:



Teacher who provided the information: Predrag Rajković, professor

Subject specification for the Course Book

Programme of study: Civil engineering Module: - Type of studies: Undergraduate studies Course title: Application of CAD software Course leader: Edin Dolićanin Teaching assistant: Halit Redžović ECTS credits 4 Course status: optional Corequisites & prerequisites: - Course aims & objectives.

Introduction to CAD software for drawing and designing objects in the field of construction and architecture.

Learning & teaching outcomes.

By the end of this course students should be able to work on specific project ideas that can be implemented. Training students for design, drawing and other forms of computer applications in engineering construction practice.

Course content & summary:

Theoretical knowledge

ACAD is arguably the most popular tools for computer-aided design. Construction drawings and projects of all types. Drawings in the field of electrical engineering, civil engineering, mechanical engineering and aerospace. Working with blocks. External reference. Drawing layout and facades. Working drawings. Introduction to 3D. Introduction to solid modelling. Modelling of а house. 3D interior. Creating a perspective view. Architectural drawings of all kinds.

Practical knowledge (seminars, research work, other)

Application of the software package ACAD and solving practical examples for drawing schemes. Students learn to draw in 2D for half of the semester, and for the rest of the semester they do 3D modelling. They are proposed to work on concrete examples which were presented earlier by the assistant.

Reading list 1 AUTO CAD Biblija, Mikro Knjiga, Ellen Finkelstein 2 AUTO CAD za početnike, Naučna KMD, Predrag Rakić

Број часова активне наставе недељно током семестра/триместра/године Lectures Seminar - Research work Other

2 1 - -

Teaching methods Lectures and seminars, midterm tests (2), papers, exercises, and the final exam.

Assessment structure (100 points maximum) Course work Points Examination points student engagement (and attendance) 5 written exam 30 practical classes 5 oral exam 30 midterm(s) 15+15 paper(s)


Course title: COMPUTER APPLICATION

GENERAL INFORMATION

Year of study: - Lecturer: Edin Dolićanin, assistant professor


Teaching assistant: Halit Redžović, Petar Knežević

Year: 1 Consultations (office hours): Tuesdays and Fridays, 11.00-12.00

Semester: I (winter) Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Introduction to the basic display of FORTRAN, a programming language; the history of the programming language, data types, formation of programs (algorithms), the concept of sub-programs and their use, as well as the printing and the data printing.


Course aims & objectives: The aim of the course is to provide students with the basic knowledge of programming in FORTRAN. Through lectures and exercises students should master the basics of the programming language, routines, etc. with the creation of several examples.

Teaching methods: Lectures. Auditory, numerical/computational and computer exercises. Consultations. Knowledge assessment by numerical/computational exercises, midterm tests and term papers. The exam consists of the written and oral test. In the written part students take computational tasks in certain area. The theoretical part is taken at the oral part of the exam. Course content: Preparation week: Preparation and semester enrolment

I week Introduction. History. Programming languages. Compiling programming languages.

II week Alphabet and syntax of FORTRAN. III week Variables and non-variables in the programming language FORTRAN. IV week Arithmetic operations in the programming language FORTRAN. V week Vectors and matrices. Matrix calculus. Sampling for the memory.

VI week Structuring programs (algorithms). Rules. The convention on the names of variables. Reviews and aligning.

VII week MIDTERM TEST 1

VIII week Flow control of the program. Branching of the program. Conditional command - IF. Logical command - IF.

IX week Conditional command for branching - CASE. Unconditional command for branching - GOTO command.

X week Loops. Loops with the controlled parameters. DO-WHILE loop. Infinite DO loop.

XI week Formatted print of data and work with files. command - FORMAT. Commands - OPEN and CLOSE.

XII week Commands - READ and WRITE. Other commands for writing and printing.

XIII week Functions and subroutines. Functions (FUNCTIONS). Subroutines (subroutine).

XIV week Structuring a program with all necessary data, commands and steps. XV week MIDTERM TEST 2

Student’s obligations: Lectures and exercises are compulsory. Midterm tests (2), term paper and the final exam.

Reading list: Parezanović, Kolar.: Fortran Dovedan, Smilevski, Zalokar.: Fortran Dujmović, Jozo.: Programski jezici i metode programiranja, Naučna knjiga, Beograd. Assessment and grading:



Teacher who provided the information: Edin Dolićanin, assistant professor


Course title: TECHNICAL PHYSICS

GENERAL INFORMATION

Year of study: - Lecturer: Jovan Elzar, associate professor



Year: 1 Consultations (office hours): Tuesdays and Fridays, 11.00-12.00



ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Introduction to the basic kinematics, dynamics, theory of gravity, oscillatory motion, wave motion and the elements of thermodynamics, followed by examples from everyday life.


Course aims & objectives: By the end of the course students should be able to understand the basic laws of nature and to acquire skills for solving simple problems in the field of physics, theoretical and experimental as well.

Teaching methods: Lectures, exercises, home works, midterm tests and the final exam with consultations.


I week The study of physics and connections with other sciences. Measurements and measurement uncertainty. Systems units. Approach to solving problems and tasks.

II week Kinematics of the material point. Movement along a straight line. Average and current speed. Central and instant acceleration. Movement with constant acceleration. Free fall.

III week Moving in two and three dimensions. Position vectors, speed and acceleration and their projections. Circle movement. Tangential and normal acceleration. Relative speed.

IV week Dynamics. Interaction and power. Newton's laws of motion. The mass and weight.

V week Stacking forces. The balance of forces. The application of the Newton's laws in the dynamics of the material point. The forces of friction. Dynamics of the circle.

VI week The fundamental forces in nature. Work of kinetic energy. Working with

variable force. Power.

VII week Potential energy. Conservative and nonconservative forces. The law of conservation of total mechanical energy.

VIII week The amount of movement. The law of conservation of the momentum vectors. Elastic and inelastic collisions.

IX week Rotation of a rigid body. Dynamics of rotational. Angular velocity and angular acceleration. The link between the translational and rotational motion.

X week Moment of force. Moment of inertia. Steiner's theorem. Work and power at rotational motion. Angular momentum. The law of conservation of angular momentum vector. Gyroscope.

XI week Gravity. Newton's law of gravity. The gravitational field. Work and potential energy in a gravitational field. The movement of satellites. Black holes.

XII week Periodic motion. Free harmonic oscillations. Energy in simple harmonic oscillation. Mathematical pendulum. Physical pendulum. Damped oscillations. Forced oscillations and resonance.

XIII week

Waves. Types of mechanical waves. Mathematical description of waves. Speed of transversal waves. Energy of the wave motion. Wave interference, boundary conditions and superposition. Standing waves on a string.

XIV week Longitudinal or sound waves. Speed of sound waves. Strength and intensity of the sound waves. Standing sound waves. Resonance, interference, break through. Doppler effect. Shock waves.

XV week The temperature and thermodynamic equilibrium. Thermometers and temperature scales. Thermal expansion. Heat. Calorimetry and the phase change. Mechanisms of heat transfer.

Student’s obligations: Lectures and exercises are compulsory. Home works, midterm tests, and the final exam.

Reading list: V. Georgijević, K. Nikolić, B.Stanić, Predavanja iz Fizike, Želind, Beograd, 2005. K. Nikolić, P. Marinković, J. Cvetić, Fizika, zbirka rešenih zadataka, DN Centar, Beograd, 2008. Assessment and grading:



Teacher who provided the information: Jovan Elazar, associate professor


Course title: TECHNICAL MECHANICS 1

GENERAL INFORMATION

Year of study: - Lecturer: Mladen Pantić, professor



Year: 1 Consultations (office hours): Wednesdays and Thursdays



ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Introduction to the basic concepts of mechanics. Force systems in the plane and space. Definitions of terms of torque and coupling force, as well as theorems that follow these mechanical terms. The centre of gravity of homogeneous volume, surface and line. Detailed study of the plane, spatial trusses, as well as some types of arched and thin beams. Students also learn about the basic concepts graphostatic.


Course aims & objectives: By the end of the course students should be able to understand the basic principles of mechanics. Acquiring of knowledge in the analysis of plane and spatial force systems. Mastering basic concepts of graphostatic. Acquisition of the basic knowledge about the centres of homogeneous volume and surface area. Determination of reaction links and cross-cutting forces in statically specified beams. Course content:

I week Aims, objectives and the division of statics. The main tasks of statics. The axioms of statics. Reactions and axioms about the links.

II week The system of interfacial forces. The balance of the interfacial forces in the plane and space. Analytical and geometrical conditions of equilibrium.

III week Momentum for a given point. Momentum for a given axis. Varignon’s theorem.

IV week The system of forces with the parallel lines. Coupling forces. Characteristics of the coupling force.

V week

Arbitrary plane system power. The reduction of forces on the spot. The theorem on the reduction system of arbitrary power in the given point level. Cases of arbitrary force reduction system in the plane. The balance of the arbitrary flat system of powers. Sliding friction.

VI week

The concept of gravity centre. Coordinates of the gravity centre of material homogeneous volume, material homogeneous surfaces, and material homogeneous lines. The position of the centre of gravity of homogeneous bodies in special cases. The centre of gravity of the arc and

circular clip.

VII week Guldin theorems. The first and second Goldin theorems and their applications.

VIII week Graphostatics. Chain ground forces. Types of loads, the concept of line, surface and body forces.

IX week Planar bearers. The division of bearers. Types of load bearers.

X week

Forces in the section bracket. The concept of axial, transversal forces and the momentum of bending. The convention on the sign and graphic representation of the forces at the intersection. Example of resolving bearer.

XI week Gerber bearers. Examples of solving Gerber bearers. XII week Trusses. The method of nodes, Ritter and Kulman method. XIII week Arch brackets. Bracket with three joints. Static brackets - frames. XIV week Statics of thin beams. Analysis of thin beams - catenary.

XV week Spatial statically specified systems. External and internal links in physical bearers. Spatial lattice structures.

Student’s obligations: Lectures and exercises are compulsory. Students take the term tests, written test and the final exam.

Reading list: Natalija Naerlović-Veljković, Mehanika 1, Nauka, Beograd, 1996. S. Brčić, D. Grbić, D. Šumarac, R. Mandić, Mehanika : Zbirka ispitnih zadataka. Građevinski fakultet u Beogradu, 1989. Rašković D., Mehanika 1, Naučna knjiga Beograd 1964. Assessment and grading:



Teacher who provided the information: Mladen Pantić, professor


Course title: TECHNICAL MECHANICS 2

GENERAL INFORMATION




Year: 1 Consultations (office hours): Wednesdays and Thursdays

Semester: II (summer)

Programme of study:


ECTS credits: 7

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Introduction to the basic concepts of kinematics as a branch of mechanics. The concepts of speed and acceleration as the basic kinematic quantities. Different types of movement of a mass point in the Cartesian, polar-cylindrical, spherical and natural coordinate system. The study of the basic types of rigid body motion. The terms of the mass point dynamics, the laws of the mass point dynamics and differential equations of motion of a mass point in different coordinate systems. The differential equations of motion of the mass points system, as well as differential equations of motion of a rigid body. Students learn about the basic laws of dynamics of mass points system, as well as the basic laws of dynamics of rigid body. Introduction to the concept of generated coordinates and forces. Description of the process of forming. Lagrange equations of the second kind.


Course aims & objectives: By the end of the course students should understand the concepts of speed, acceleration and inertial forces that occur as a result of the movement of mass points, systems of mass points and rigid bodies. Students also need to incorporate lessons learned from all the processed area of mechanics. They need to master the techniques for forming the differential equations of motion with the aim of forming mathematical models of real structures. Course content:

I week Basic concepts of kinematics. Kinematics of a mass point. The concept of speed and acceleration. Coordinate systems.

II week Speed and acceleration in Cartesian, polar-cylindrical, spherical and natural coordinate system. Special cases of movement of a mass point, uniform, circular and harmonic motion.

III week

The positioning of the moving body in space. Number of degrees. Types of rigid body motion. Translational motion of rigid body, rotation of a rigid body around a fixed axis, rotation around a fixed axis, planar motion and complex motion of a rigid body.

IV week

Turning rigid body around a fixed axis. The law of rotation of a body. Angular velocity and angular acceleration. Special cases of rigid body rotation around a fixed axis, important from the viewpoint of applications in technical practice. Speed and acceleration points of a body that rotates

around a fixed axis.

V week Planar motion of a rigid body. Laws of body movement and trajectory. Speeds of mass points in a representative cross-section of the body. Solving problems of the plane motion of rigid bodies.

VI week Complex movement of a mass point. Speed and acceleration in the complex movement. Coriolis theorem.

VII week Dynamics of a mass point. The main tasks of the dynamics of a mass point. The basic laws of dynamics. The law of inertia, the basic equation of dynamics and the law of action and reaction.

VIII week Differential equations of motion of a mass point in different coordinate systems. Free fall and the vertical shot in a vacuum.

IX week Curvilinear movement of a mass point. Projectile motion in a vacuum. Horizontal and projectile motion into the air.

X week General laws of dynamics of the mass point. The law on changing the amount of movement, the law of change of angular momentum, the law on changing the kinetic energy of the mass point.

XI week Some special cases of motion of the mass point. The movement of the mass point under the influence of the central force. Forced movement of the mass point. D'Alamber`s principle for the mass point.

XII week

Mechanical system. Forces that act on the system, the mass and the centre of the mass system. Differential equations of motion of the mass system. The law on the movement of the centre of the mass system. The law on changing the amount of movement of the mass system. The law on changing the angular momentum of the system. Impulse of a force.

XIII week

The kinetic energy of the system. The kinetic energy of a rigid body. The law on changing the kinetic energy of the system. The law of conservation of mechanical energy. D'Alamber`s principle of the mass system. The main moment of inertial forces in the case of translational and linear motion of a rigid body.

XIV week Translational motion of a rigid body. The differential equations of rotation of a rigid body around a fixed axis. Determination of the dynamic reaction of the bearings. Planar body movement.

XV week The principle of the virtual displacements. Generated coordinates and generalized forces. The general equation of dynamics. Lagrange equations of the second kind.

Student’s obligations: Lectures and exercises are compulsory. Students take the term tests, written test and the final exam.

Reading list: Đ.Đukić, T. Atanacković, L. Cvetićanin, Mehanika. Novi Sad, 2003. Đ.Đukić, T. Atanacković, L. Cvetićanin, Kinematika. Novi Sad, 2005. M. Mijalković, Tehnička mehanika II, Gradjevinski fakultet, Niš, 2007. M. Mijalković, M. Trajković, Zbirka rešenih ispitnih zadataka iz Tehničke mehanike II, GAF Niš, 2006; B. Vujanović, Dinamika, Univerzitetu Novom Sadu, 1992. S. M. Targ, Teorijska Mehanika, Građevinska knjiga, 1996. M. Kojić, M. Mićunović, Kinematika, Naučna knjiga, 1988. D. Rašković, Dinamika, Naučna knjiga, Beograd, 1960. N. Naerlović-Veljković, Mehanika II, Nauka, Beograd, 1996, V. Bogunović, Mehanika II, Centar za umnožavanje Građevinskog fakulteta, Beograd 1977; D. Stanković, N. Sokolović, Mehanika II kinematika i dinamika - zbirka rešenih zadataka, Univerzitet u Nišu, 1988.

Assessment and grading: I midterm test – 20 p. II midterm test – 20 p. Student engagement (and attendance on lectures) – 5 p. Student engagement (and attendance on seminars) – 5 p. Paper(s), graphic works –10 p. Oral exam – 40 p. Note – written exam is organized for students who have not passed the tests.




Course title: INTRODUCTION TO ARCHITECTURAL DESIGNS

GENERAL INFORMATION

Year of study: - Lecturer: Branko Glumac, assistant professor


Teaching assistant: Branko Slavković, Danilo Dragović


After the lectures and during the seminars



ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Introduction to the building construction. An insight into the complete structural system of a building. During the lectures students are introduced to all structural elements of building of massive structural systems.


Course aims & objectives: By the end of the course students should understand the concepts of the structural assembly of massive high-rise buildings in terms of the function of individual structural elements of the building as a whole. Those elements are explained to the students by observing the entire object according to its typology, depending on the technical conditions which must be satisfied for certain specific technical requirements. Lectures are accompanied by exercises/seminars, through which particular characteristic details of architectural structural assemblies are designed (drawn). Course content:

Week Lectures Seminars (exercises)

I week

Area definition of materialisation of architectural space Building ground Ground work

Introducing the exercises. Instructions how to create first graphic work.

II week The structural assemblies Foundations

1 Graphic work The structural assembly

III week The isolation of the underlying moisture and water

IV week Sorts of walls in massive structural part Building the solid walls

2. Graphic work Isolation of foundations

V week

Stoneware products for the walls masonry Building walls of bricks Building walls of concrete blocks, stone and cast concrete

Isolation of foundations

Thermal characteristics of walls Massive floor joists

VI week Midterm test 1 Drainage and covering flat roofs

3. Graphic work Drainage of flat roofs

VII week Traditional wooden construction: Roofs with horns and block Spacers

4. Graphic work The roof with block spacers

VIII week Traditional wooden construction: Roofs with roof hangers

5. Graphic work Roofs with straight and sloping construction

IX week Traditional wooden construction: Roofs with roof bars

Roofs with straight and sloping construction

X week Windows Doors

6 Graphic work Roofs with roof bars

XI week Stairs Roofs with roof bars

XII week Chimney and ventilation ducts 7 Graphic work Windows and doors

XIII week Floors Treatment of the walls

Windows and doors

XIV week Dimensional and modular co-ordination

8 Graphic work Stairs

XV week Midterm test 2 Stairs

Student’s obligations: Lectures and exercises are compulsory. Students take the term tests, and the final and oral exam.

Reading list: Đ.Đukić, T. Atanacković, L. Cvetićanin, Mehanika. Novi Sad, 2003. Đ.Đukić, T. Atanacković, L. Cvetićanin, Kinematika. Novi Sad, 2005. M. Mijalković, Tehnička mehanika II, Gradjevinski fakultet, Niš, 2007. M. Mijalković, M. Trajković, Zbirka rešenih ispitnih zadataka iz Tehničke mehanike II, GAF Niš, 2006; B. Vujanović, Dinamika, Univerzitetu Novom Sadu, 1992. S. M. Targ, Teorijska Mehanika, Građevinska knjiga, 1996. M. Kojić, M. Mićunović, Kinematika, Naučna knjiga, 1988. D. Rašković, Dinamika, Naučna knjiga, Beograd, 1960. N. Naerlović-Veljković, Mehanika II, Nauka, Beograd, 1996, V. Bogunović, Mehanika II, Centar za umnožavanje Građevinskog fakulteta, Beograd 1977; D. Stanković, N. Sokolović, Mehanika II kinematika i dinamika - zbirka rešenih zadataka, Univerzitet u Nišu, 1988. Recommended literature: Klasični drveni krovovi, Slobodan N. Ilić, GK, Beograd 2003. Građevinske konstrukcije, Martin Mitag, GK, Beograd 2000. Dimnjaci i ventilacije, Iva Muraj, AF, Zagreb 2014 Assessment and grading:



Teacher who provided the information: Branko Glumac, assistant professor


Course title: CONSTRUCTION MACHINERY AND EQUIPMENT

GENERAL INFORMATION



Teaching assistant: Izet Hot, assistant professor


Semester: IV summer

Programme of study:


ECTS credits: 4

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION The course is designed to achieve a satisfactory ability of students to understand the characteristics of construction machines and parameters for their selection, the use of knowledge in the field of economics and maintenance of machinery, as well as to independently apply the acquired knowledge for the calculation of operating parameters, costs of working time and the selection of construction machinery.


Course aims & objectives: By the end of this course students should be familiar with the basic groups and types of construction machinery, budget performance and the costs of working hours of machines, choice of machinery for certain positions of work, budget system reliability and methods of monitoring of the work and maintenance of construction machinery.

Teaching methods: Lectures, exercises, midterm tests (2), term papers (2) and the final exam.


I week Introductory lectures, the basic concepts the course, obligations II week Factors for machinery selection III week The effects and labour costs of machinery IV week Introduction to the construction machinery V week Machines for excavation and loading VI week Machines for soil compaction VII week Machines for transfer and lifting VIII week Machines for production and processing IX week Machines for transport and traction X week Machines for works with rocks XI week Machines for special works XII week Machines for road works XIII week Machines for working in tunnels and on railroads XIV week Reliability of production systems

XV week Technological and economical parameters Final week The final exam

Student’s obligations: Lectures and exercises are compulsory. Students take two midterm tests, two term papers, and the final exam.

Reading list: Slobodan Mirković: GRAĐEVINSKA MEHANIZACIJA, Građevinska knjiga, Beograd, 2005. Trbojević, B.: GRAĐEVINSKE MAŠINE, Građevinska knjiga, Beograd, 1991. Assessment and grading:





Course title: CONSTRUCTION MATERIALS 1

GENERAL INFORMATION

Year of study: - Lecturer: Ljudmila Kudrjavceva, assistant professor




Semester: 3 (summer)

Programme of study:


ECTS credits: 4

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION The first part of the course deals with the general properties of building materials. Physical, Hydro-physical, thermo-technic properties and mechanism of heat conduction and diffusion of water vapour through the elements of building envelope. The physical-mechanical, constructional, technological, rheological, chemical and exploitation characteristics and test methods. The second part relates to construction materials which include: stone, ceramic materials, aggregates (granules), mineral (inorganic) binders, plaster.


Course aims & objectives: By the end of this course students should be familiar with modern building materials and their physical, and mechanical characteristics, production technology and testing. Consideration of physical phenomena to which materials and built structures are exposed. Training students to decide about the choice of building materials and their implementation in terms of constructional physics - functional, technical and technological aspect. Teaching methods: Lectures, exercises (seminars), midterm tests, term papers and the final exam with consultations. Course content: Preparation week: Preparation and semester enrolment, terms of testing, the course content. Introduction, disperse systems and solutions.

I week

General part: Basic properties of building materials. Status parameters and structural properties: Specific mass and density, porosity and degree of density. Hydro-physic properties: moisture resistance, water absorption, moisture, permeability, shrinkage and material swelling.

II week Thermo-technical properties. Other important physical properties: Viscosity. Resistance to cold.

III week Physical and mechanical properties of materials. Deformation properties (operating diagram). The strength of materials under static loading.

IV week Physical and mechanical properties of materials. Basic indicators of material toughness (ductility, relative elongation, contraction). Strength of materials under dynamic loading.

V week Constructional and technological properties of materials. Rheological properties of the material. Material flow and bulk deformation. The

chemical properties of materials. Exploitation properties of materials.

VI week Material testing by nondestructive methods. The method of ultrasound. The method of gamma radiation. Surface methods. Impact methods.

VII week Midterm test 1

VIII week Special part: Stones for building construction. Basic types of rocks. Exploitation and processing of stone. Basic physical and mechanical properties of rocks. Persistence of embedded stone.

IX week Ceramic materials. Clay and clay products. Industrial ceramics: ordinary and full, brick facade and hollow ceramics. Hollow blocks. Tile. Basic physical and physical-mechanical properties of ceramic materials.

X week Aggregates (granules). Granulometric structure of aggregates. The shape, appearance and surface aggregate. Status parameters, structural features and some hydro-physics properties of aggregates. Attrition of aggregates.

XI week Mineral (inorganic) binders. Definition and classification of mineral binders. Hydraulic module. Plaster and calx. Pozzolana and slag.

XII week Cement. Hydration of cement. Production, types and classes of cement. The properties of cement.

XIII week Midterm test 2

XIV week Plasters: composition, properties, classification according to the type of binder and by area of application. Special mortars.

XV week

Student’s obligations: Lectures and exercises are compulsory. Students take midterm tests, term papers, and the final exam.

Reading list: M. Muravljov: Građevinski materijali, Građevinska Knjiga, Beograd, 2007. M. Muravljov, D. Jevtić: Građevinski materijali 2, Akademska misao, Beograd, 2003. B. Skenderović, M. Kekanović: Građevinski materijali - struktura, osobine, tehnologija, korozija, AGM Knjiga, Beograd, 2011. S. Živković: Građevinski materijali - zbirka rešenih testova, Građevinska Knjiga, Beograd, 2010. Assessment and grading:



Teacher who provided the information: Ljudmila Kudrjavceva, assistant professor


Course title: CONSTRUCTION MATERIALS 2

GENERAL INFORMATION

Year of study: - Lecturer: Ljudmila Kudrjavceva, assistant professor



Year: 2 Consultations (office hours): Tuesdays and Wednesdays

Semester: IV (summer)

Programme of study:


ECTS credits: 4

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Further introduction to the construction materials and their properties, production technology and testing. Most time of the course is devoted to the study and testing of concrete properties, its design, production, transport, placing and care, as well as to properties and testing of steel and wood and the applicable building materials.

Corequisites & prerequisites: Passed exam in Construction materials 1

Course aims & objectives: By the end of this course students should be familiar with construction materials and their physical and mechanical characteristics, production technology and testing.

Teaching methods: Lectures, exercises (seminars), midterm tests, term papers and the final exam with consultations. Course content:

I week

A brief overview of the knowledge acquired in the previous semester. Plasters. Concrete. Brief overview of the significant achievements of concrete and reinforced concrete. Concrete components. Aggregate, cement, water and additives as components of concrete. Design of concrete mix.

II week The properties of fresh concrete. The rheological properties of fresh concrete. Technological properties of fresh concrete (consistency, layering-segregation). Other properties of fresh concrete.

III week Properties of hardened concrete. Macro and micro structure. Basic laws of strength of concrete. The mechanism of fracture. Compressive strength, brands of concrete. Tensile strength.

IV week Properties of hardened concrete. Waterproofing, frost resistance. Deformation properties of concrete: working diagram, modulus of elasticity, tangent and secant modulus.

V week Properties of hardened concrete. Shrinkage flow of concrete. Testing the

quality of concrete in situ (destructive and non-destructive testing).

VI week Basics of concrete technology. The project of concrete. Production, transport and installation of concrete. Concreting in special conditions. Accelerated curing of concrete.

VII week

Basics of concrete technology. Some special methods of placing concrete. Pressing, vacuum, centrifugation. Pre-packed concrete. Sprayed concrete (shotcrete). Special concretes. Light and heavy concrete. Fibre-reinforced concrete.

VIII week Steel. Production and processing of steel. Classification of steel. Construction steels.

IX week Steel. Steel properties: Tensile testing, working diagram. The physical-mechanical and rheological properties. Coloured metals.

X week Wood and wood-based materials. Macro and micro structure, mechanical properties. Processing of wood and finished wood products.

XI week Hydrocarbon binders and materials. Bitumen, tar: properties and basic tests. Application of hydrocarbon binder on the roads.

XII week The basic properties and tests: asphalt, asphalt-concrete and cast asphalt. Application of bitumen in waterproofing.

XIII week

Polymers and plastics. Introduction. The structure of polymers. Behaviour of the polymer when heated. Types of polymers. Mechanical properties. Materials for special purposes: for floor production, waterproofing, thermal insulation and others. Polymer and polymer concrete.

XIV week Protection from corrosion (materials and systems). XV week


Reading list: M. Muravljov: Građevinski materijali, Građevinska Knjiga, Beograd, 2007. M.Muravljov, D.Jevtić: Građevinski materijali 2, Akademska misao, Beograd, 2003. M. Muravljov: Osnovi teorije i tehnologije betona, Građevinska Knjiga, Beograd, 2010. M. Muravljov, S. Živković: Građevinski materijali - zbirka rešenih ispitnih zadataka, Građevinska Knjiga, Beograd, 2001. S. Živković: Građevinski materijali - zbirka rešenih testova, Građevinska Knjiga, Beograd, 2002. Assessment and grading:



Teacher who provided the information: Ljudmila Kudrjavceva, assistant professor


Course title: HYDROLOGY

GENERAL INFORMATION



Teaching assistant: Zdravko Pantelić, assistant

Year: 2 Consultations (office hours): Tuesdays and Wednesdays

Semester: III (winter)

Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION The aim of the course is to introduce students to the fundamentals of the science of water - hydrology and its connection with other sciences. In addition to the hydrological cycle and the basic elements of river basins, through this course students are introduced to the basic climatic parameters, methods and tools for measuring and monitoring of hydrological phenomena, data processing and basic elements of water balance. Calculation of evapotranspiration. Analysis of data on water levels (hydrograph, the length line of the water level). Hydrometric measurements. Flow curve. Summary flow line. Flood hydrograph (separation of the base and direct runoff). The water balance in the accumulation. The basics of statistics and probability and linear regression.


Course aims & objectives: By the end of this course students should be familiar with the processes in the hydrological cycle and water balance elements, ways of measuring hydrological and hydrometeorological sizes and processing of their data.

Teaching methods: Lectures, exercises (seminars), midterm tests, term papers and the final exam with consultations. Course content: Preparation week: Preparation and semester enrolment

I week Object and tasks of hydrology and application area. The cycle of water circulation in nature.

II week The basic elements of rivers and river basins. III week Hydrometrics. Measuring water level, depth and water velocity. IV week Measurement of water flow. Measuring river’s sediment. V week Basic processing of hydrological data.

VI week The relationship between water level and flow. Extrapolation of curves flow.

VII week Basic climatic characteristics, temperature of air and soil, rainfalls, evaporation.

VIII week Measurement of precipitation. Soil. The soil moisture.

IX week Soil absorption of water. Absorption and filtration. X week Underground waters. Links between surface and groundwater. XI week The regime of surface waters. Low water. High waters. XII week Basics of statistics, probability and regression. XIII week Field work. XIV week Field work. XV week The final review.


Reading list: Prohaska S., 2003.: Hidrologija I deo, Rudarsko – geološki fakultet, Institut ''J. Černi'', Republički hidrometeorološki zavod, Beograd. Zelenhasić E.,1997: Stohastička hidrologija, Pan-Merkur, Kaligra, Novi Sad. Jovanović S.,1976 : Parametarska hidrologija, Skripta, Građevinski fakultet, Beograd. Assessment and grading:





Course title: MATHEMATICS III

GENERAL INFORMATION






Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Mathematics III, as a subject, should enable students to master the mathematical apparatus necessary for the theoretical and technical and vocational subjects. The acquisition of the basic knowledge that qualifies them for the mathematical modelling of real phenomena, but also to master the elements of logical thinking which enable them to solve problems in an algorithmic way.

Corequisites & prerequisites: Passed exam in Mathematics 1 and Mathematics 2

Course aims & objectives: By the end of the course students should deepen their knowledge of: double, triple, curvilinear and surface integrals of I and II types and their applications in geometry and mechanics; ordinary differential equations of first and higher order, differential equations with constant coefficients and partial differential equations in order to gain theoretical and practical ideas about the concepts being taught in construction and to finally be able for the modelling of real phenomena.



I week The double integral. Definition, geometric meaning, characteristics and calculation of double integrals. Variable shift with double integrals.

II week Polar coordinates. Application of double integrals in geometry and mechanics. Triple integral. Definition, geometric meaning, characteristics and calculation of triple integrals.

III week Variable shifts with triple integrals. Cylindrical and spherical coordinates. Application of triple integrals in geometry.

IV week Curvilinear integral of I type. Definition, calculation, applications in geometry and mechanics. Curvilinear integral of II type.

V week The surface integral of I and II type. Applications in geometry and mechanics.

VI week Midterm test 1

VII week Differential equations. First order differential equations. First order differential equations with separated variable. Homogeneous first order

differential equations.

VIII week Linear first order differential equation. Bernoulli's equation. The equation with total differential.

IX week Differential equations of higher order. Types of equations. Homogeneous linear n-th order differential equations with variable and constant coefficients.

X week Inhomogeneous linear n-th order differential equations with variable and constant coefficients. Particular solutions.

XI week The concept of partial differential equations. Classification of partial differential equations of the first order and their solutions.

XII week Partial differential equations of second order and their solutions. XIII week Midterm test 2

Student’s obligations: Lectures and exercises are compulsory. Home works, midterm tests and the final exam.

Reading list: D.Belajčić: Diferencijalne jednačine, Naučna knjiga, Beograd, 1987. M. Uščumlić, P. Miličić: Zbirka zadataka iz više matematike 2, Nauka, Beograd, 1998. E. Stipanić, M. Trifunović: Viša Matematika 2, Naučna knjiga, Beograd, 1988. M. Trifunović, C. Topalović: Viša Matematika 2-ispitni zadaci sa rešenjima i rezultatima, Naučna knjiga, Beograd, 1988. R.Šćepanović: Matematika 3, Univerzitet Crne Gore, Podgorica, 2009. M. Anđić: Matematika 2, FIT, Podgorica, 2009. Assessment and grading:





Course title: MECHANICS OF FLUIDITY

GENERAL INFORMATION

Year of study: - Lecturer: Dragica Milenković, professor





Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION In the introductory part properties of a liquid (density, compressibility and viscosity) are given. Field of hydrostatics includes: basic properties of pressure, pressure gauges, pressure forces on plane and curved surfaces and swimming. Within hydrokinetics the equation of continuity, and current and potential functions are given. Chapter Steady flow energy is covered by the Bernoulli equation for ideal and viscous fluid. The behaviour of real fluids is described by laminar and turbulent flow, cavitation and boundary layer. Calculation of simple and complex pipeline with a pump and water turbine as well as the calculation of water supply networks represents a good basis for solving specific problems. In the area of building construction the study of the steady flow with free surface and flow around the short objects (overflows, large and small openings The bridge and narrowing) are especially important.


Course aims & objectives: By the end of the course students are expected to be able to understand the problem: the flow of liquids, simple and complex pipework, small and large openings and bridge constrictions.



I week Physical properties of fluids

II week Hydrostatic, hydrostatic pressure, pressure measurement

III week Pressure on plane and curved surfaces, swimming and stability in swimming

IV week Hydrokinetics: continuity equation, steady and uniform flow

V week Movement and deformation of fluid. Functions of the current and the velocity potential

VI week Kinetic and potential energy, Bernoulli's equation VII week The behaviour of real fluids, laminar and turbulent flow

VIII week The behaviour of real fluids, cavitation and boundary layer IX week Stationary flow in pipelines X week Local energy loss, the line loss of energy (friction) XI week Calculation of the pipeline, water pumps and water turbines XII week Transport of liquids using complex pipeline XIII week Calculation of water supply networks, uniform flow with free surface XIV week Flow around hydraulic short facilities, overflows XV week Overflow through large and small holes, bridge constriction

Student’s obligations: Lectures and exercises are compulsory. Midterm tests (3) or the written part of the test, as well as the oral exam.

Reading list: dr. Branko R. Obrović; Mehanika fluida, Kragujevac, 2007 god. dr. Dragan S. Aranđelović; Hidraulika, Niš 2000 god. dr. Svetislav Čantrak; dr. Miroslav Benišek i dr. ; Mehanika fluida – Teorija i praksa, Beograd 1998 god. Assessment and grading:



Teacher who provided the information: Dragica Milenković, professor


Course title: MECHANICS OF SOIL

GENERAL INFORMATION

Year of study: - Lecturer: Ljiljana Anđelković, assistant professor





Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Mechanics of soil represents the application of the laws of mechanics to engineering problems dealing with sediments and other unconsolidated accumulations of solid particles produced by the decay of rocks. Mechanics of soil includes: examination of the physical properties of real soils, the theory of soil behaviour under voltage based on radically simplified assumptions and application of the acquired theoretical and empirical knowledge in order to solve practical problems. In the first part of the course students acquire basic knowledge about the physical and engineering characteristics of soil and methods for the quantification of certain sizes and fundamental principles of deformation analysis of the soil. In the second part of the course, the acquired knowledge is applied to solving the problem: slope stability, retaining structures and capacity of the ground.


Course aims & objectives: By the end of the course students are expected to be able to understand the properties of soil needed for a calculation, and that they can independently make the calculation: retaining structures, slope stability, soil bearing capacity and other geo-mechanical problems that appear in practice.

Teaching methods: Lectures, exercises, home works (tests), midterm tests and the final exam with consultations.


I week

Typical problems of mechanics of soil, definitions and domain of application. Soil testing in the field, previous tests and geophysical surveys, geotechnical soil testing methods in the field, measurement characteristics of the soil in situ, laboratory tests

II week Physical and engineering properties of soil material, soil model, three-phase system, the volume ratio, mass ratios, the unit weight of soil particles and the piknometre view.

III week Granulometric analysis of the soil, dry procedure, aerometrics, combined analysis, coefficients of the granulometric distribution.

IV week Indexes, borders of plastic status: the flow limit, plastic limit, the limit of the collection. Plasticity chart. The microstructure of the soil, the clay activity.

V week Soil compaction, principles of compactness. The variables of compaction. Laboratory testing of compaction – Proctor’s test.

VI week Water in the soil, the water cycle (hydrological conditions), hydrostatic conditions, the capillary effect, water permeability of the soil, the method for measuring water permeability, water permeability of stratified soil.

VII week

The principle of the effective stresses, vertical geostatic strain, hydraulic deformation of soil. Two-dimensional flow of water, piezometric pressure, current networks, critical hydraulic gradient. Collecting and compacting of the soil. Freezing.

VIII week

Stresses and deformation in the soil, stress field, general case of a plane stress - two-dimensional stress state. Envelope of breakdown. Mohr-Coulomb criterion of breakdown. Pore overpressure - undrained conditions. Shear strength, shear strength parameters, and the experiment with direct shear. Stress status in triaxial test. Types of the triaxial test. The apparatus for triaxial test, CD, CU and UU triaxial test.

IX week

Consolidation and subsidence. One-dimensional consolidation, hydro-mechanical analogy. Determination of compressibility in odometer. The tension of pre-consolidation. Methods for calculating the subsidence. The subsidence calculation. Metastable soil.

X week

Vertical tension and subsidence. Additional tension. Tension and subsidence based on the theory of elasticity. Steinbrenner’s method, Newmark’s method. Soil subsidence: causes, allowed values, and the direct calculation method.

XI week

Limit equilibrium. Shear breakdown. Models of soil, Rankin theory of plastic fracture (active and passive soil pressures), Coulomb theory of pressures in soil. The stability of retaining walls, types of retaining walls, stress and resistances in calculations of retaining walls, influence of water and ways of drainage of retaining structures, stability of retaining structures on overturning and sliding. Edge stress, measures for increase stability.

XII week Slope stability, types of sliding, causes of sliding, sliding mechanism. Stresses in the shear zone. The forces and stresses on a slope, the factor of safety against sliding. Methods for calculation of slope stability.

XIII week Methods of analysis of soil masses stability. Methods of bordering equilibrium. Planar surfaces, circular cylindrical sliding surface. Methods for stabilising slopes.

XIV week

Carrying capacity of soil. Types of foundations and the collapse of the ground. Limits of a building usability, pressures in the foundation bottom. Forms of foundation soil collapse. Prandtl- Riessner's solution, Terzaghi’s solution, Meyerhof’s method, bearing capacity of soil under the rules. Impact of groundwater levels. Deep foundations, piles, the bearing capacity transfer mechanism. Axial capacity of the pile, ultimate bearing capacity, the use of static penetration experiment, a bearing capacity test of the pile. Bearing capacity of pile groups. Negative friction.

XV week Preparation for the final exam. Discussion seminar. The signing of the index.

Student’s obligations: Lectures and exercises are compulsory. Term papers, midterm tests and the final exam.

Reading list: M. Maksimović: Mehanika tla, AGM knjiga, Beograd, 2008 M. Maksimović, P.Santrač: Zbirka zadataka iz osnova mehanike tla, Građevinski fakultet Subotica, 2001 Assessment and grading:



Teacher who provided the information: Ljiljana Anđelković, assistant professor

Programme of study: CIVIL ENGINEERING Type of studies: Undergraduate studies, first level Course title: NUMERICAL MATHEMATICS Course leader: Predrag Rajković, professor Teaching assistant: Aleksandra Radaković Course status: Optional ECTS credits: 6 Corequisites & prerequisites: - Course aims & objectives. Student should adopt a basic knowledge in certain fields of numerical analysis (differential equation, iterative processes, numerical methods in linear and non-linear algebra, interpolation, approximation, numerical differentiation and integration). Learning & teaching outcomes. By the end of this course students should be ready for the application of acquired knowledge and further improvement. Course content & summary: Theoretical knowledge Differential equation. The general theory of iterative processes. Banach fixed point theorem. Iterative processes for solving equations. Convergence and general characteristics of the process. Aitken’s delta-squared process. Nonlinear equations and systems. Newton’s methods. Bisection method. Newton-Kantorovich methods for systems of nonlinear equations. Solving algebraic equations. Localization of a ring. Bernoulli's methods. Method for the simultaneous determination of roots of algebraic equations. Numerical methods in linear algebra. Norms of vectors and matrices. Convergence of matrix sequences and rows. Direct methods for solving systems of linear equations. Gauss methods. Factorisation method. Orthogonalisation methods. Direct method for finding the inverse matrix. Iterative processes in linear algebra. Method of simple iteration and Gauss-Seidel methods. Terms of convergence. Iterative method of matrix inversion. The eigenvalue problem. Localization of eigenvalues. Methods for determining the characteristic polynomial. Methods for the dominant and subdominant eigenvalues. The function of interpolation. Chebyshev systems. Lagrange interpolation. Mistake assessment. Newton interpolation with split differences. Calculus of finite differences. Newton’s interpolation formulae. Interpolation formulae with central differences. Hermite interpolation. The numerical differentiation and introduction to numerical integration. The formulae for numerical differentiation. Quadrature formulas of interpolation type. Classes of formulas and degree of accuracy. Newton-Coates formulas. General quadrature formula. Practical knowledge/skills Reading list G. Milovanović, Numerička analiza - I deo, Naučna knjiga, Beograd, 1991. G. Milovanović, Numerička analiza - II deo, Naučna knjiga, Beograd, 1991. Lj. Petković, S. Tričković, P. Rajković, Zbirka zadataka iz numeričke matematike, Univerzitet u Nišu, Mašinski fakultet, 1997.. Total no of classes: 7 Lectures: 3 Seminars: 3 Other: 1 Teaching methods. Lectures, calculation and experimental exercises, midterms, final exam. Assessment structure (100 points maximum) Coursework No of points Examination No of points student engagement (and attendance)

10 written exam 20

midterm(s) 20+20 oral exam 20 paper(s) - practical classes 10


Course title: SELECTED TOPICS IN MATHEMATICS

GENERAL INFORMATION






Programme of study:


ECTS credits: 4

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Selected topics in mathematics as a subject should enable students to master the mathematical apparatus necessary for vocational subjects and practice; to acquire the necessary skills for mathematical modelling of real phenomena, but also to master the elements of logical thinking by which they become ready to solve problems on algorithmic and practical way.

Corequisites & prerequisites: Passed exams in Mathematics 1, Mathematics 2, and Mathematics 3.

Course aims & objectives: By the end of the course students should deepen their knowledge in combinatorics, probability theory and statistics in order to gain theoretical and practical ideas about the concepts being taught in construction and to finally be ready for modelling of real phenomena and practical work.



I week Elements of combinatorics. Rule of addition and multiplication. Permutations, variations and combinations with and without repetition.

II week Probability. Random experiment and random event. Algebra of events. Axioms of the theory of probability.

III week Statistical definition of probability. Rule-of-thumb definition of probability. Probability of events collection.

IV week Conditional probability. The probability of the event product - independent and dependent events. Total probability. Bayes' formula.

V week Random variables. Discrete random variable. Distribution function. Continuous random variable.

VI week Distributions of random variables. Binomial distribution. Poisson distribution.

VII week Normal distribution. Chi-square distribution. Student distribution.

VIII week Mathematical expectation and variance of a random size. Limit theorems

of probability theory.

IX week Mathematical statistics. Population, characteristics, sample. Statistics. Random variables in statistics.

X week Parameters of the distribution. Dotted evaluation of mathematical expectation, variance, probability.

XI week Confidence intervals. Confidence interval for mathematical expectation when dispersion is known. Confidence interval for mathematical expectation when dispersion is an unknown.

XII week Confidence interval for an unknown dispersion. Confidence interval for the probability of binomial distribution.

XIII week Hypothesis testing. Parametric hypothesis tests. Errors in hypothesis testing.

XIV week

Testing the hypothesis H0 if the random variable has a normal distribution, and the standard deviation is known. Testing the hypothesis H0 if the random variable has a normal distribution, and the standard deviation is unknown.

XV week Revision and systematisation. Guidelines for the final exam.

Student’s obligations: Lectures and exercises are compulsory. Term papers, midterm tests and the final exam.

Reading list: Z. Ivković, D. Banjević: Verovatnoća i matematička statistika, Naučna knjiga, Beograd, 1986. M. Merkle: Verovatnoća i statistika za inženjere i studente tehnike, Akademska misao, Beograd, 2006. M. Spiegel, J. Schiller, R.Srinivasan: Probability and Statistic. Schaum, Mc Grawhill, 2009. M.Rajović,D. Stojanović:Verovatnoća i statistika, teorija i primeri, Akademska misao, Beograd, 2006. S. Vukadinović: Elementi teorije verovatnoće i statistike, Privredni pregled, Beograd, 1974. .P. Vasić: Zadaci i problemi teorije verovatnoće, Građevinska knjiga, Beograd, 1974. Assessment and grading:





Course title: MATERIAL RESISTANCE 1

GENERAL INFORMATION

Year of study: - Lecturer: Bujar Emra, assistant professor


Teaching assistant: Mirza Hadžimujović

Year: 2 Consultations (office hours): Tuesdays and Wednesdays 11-13.00

Semester: III (summer)

Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars Consultations

30 (2 per week) 30 (2 per week) 5 + 5 = 10

COURSE DESCRIPTION Students should be able to master the course material - the basic concepts in the field of Material resistance Science, in summarised form. In technical mechanics, the concept of solid nondeformable body is taken as a basis for consideration of a model. Thus, it is used for performance of all laws and principles of statics. However, real bodies are deformable, so it is necessary to find a link between external forces, body shape and type of material on the one hand, and the stress (internal forces) and the deformation of the body, on the other.

Corequisites & prerequisites: Technical mechanics 1

Course aims & objectives: By the end of the course students should master calculation methods and dimensioning of simple linear support with the given load.

Teaching methods: Lectures, exercises, graphic works with consultations.

Course content: Preparation week: Preparation and semester enrolment. Information about the course: tests, exams, literature

I week (3 lessons)

I Introduction. The task of the Material resistance science. The concept of stress and stress state. The basic hypothesis of material resistance. Examples for determining the voltage of the static equilibrium conditions.

II week (3 lessons)

II The homogeneity of stress around the point. Types of stress (Simple strain) - Extension, pressure, twisting, bending.

III week (3 lessons)

III Deformation at normal stresses. Hooke's law. Allowed voltages. Diagram of deformation and stress. Static indefinite problems at the axial stress. Sizing in axial stress.

IV week (3 lessons)

iV Definition of the inertia moments of flat surfaces. Examples for the calculation of moments of inertia. Change in moments of inertia at the transformation of the coordinate system. Rotation of the coordinate system. The main axes and principal moments of inertia. Graphic presentation of moments of inertia using Mohr's circle.

V week (3 lessons)

V Radius of inertia. Ellipse of inertia. Static moment. Modulus of flat surface. Axial resistant moment. The polar moment of inertia. The moments of inertia, resistant moments and radius of inertia of the flattest surfaces.

VI week (3 lessons)

The analytical method; - Rectangle, Square, Circle, - The circular ring, Ellipse, Complex surfaces Graphic mode. Numerous examples.

VII week (3 lessons)

VI The calculation of stress, dimensions and deformation for all types of stresses. Axial tensile resistance. Strain on pressure in two directions. Numerous examples.

VIII week (3 lessons)

Axial stress on pressure. Stresses on pressure in two directions. Stress caused by thermal changes. Shear stress. Duality of shear stress. Strain torsion.

IX week (3 lessons)

VII Bending stress. 1. Stress, 2. The cross-sectional dimension, the rational cross section. Shear stress at curved beams – Zurawski’s hypothesis, technical theory of bending beams. Rational cross-section. Examples.

X week (3 lessons)

Deflection (buckling) of the beam girder. Strain of deflection. Stress, allowed stress on deflection. Basic EULER's deflection cases of the right rod, the free buckling length, slenderness rod.

XI week (3 lessons)

VIII Approximate determination of the critical force by the method of the deformation work. Deflection in plastic area. Sizing at bending.

XII week (3 lessons)

iX The complex stresses. Stretching and bending, Pressure and bending, core cross-section. Numerous examples.

XIII week (3 lessons)

X. Introduction to the theory of thin-walled open profile bars. Stress, the average forces and balance conditions.

XIV week (3 lessons)

X. torsion beams of arbitrary cross section. Torsion beam with elliptical and circular cross-section. Torsion beam with rectangular cross section. Membrane analogy.

The final week Pre-test consultations, signing the index The Seminar Program

Auditor exercises, teaching material in the form of solving tasks. For more successful overcoming of theoretical principles, students are required to do 4 (four) works. The conditions for obtaining signatures: regular attendance, exercises and successfully prepared and defended graphic works. Student can have a maximum of three (3) absences. The conditions for taking the exam: made and defended works, as well as the obtained signature. The exam consists of written and oral work. The written part of the exam is eliminatory. In the oral part candidates who may take the exam will be those who have successfully solved tasks on the written test.

The works and the principal of their creation

During the seminars (exercises), with about 50% of all classes planned for self-preparation of papers, students are obliged, under the assistant’s supervision, to complete their graphic works. Reading list: Dr sc. Vlatko BRČIĆ,: OTPORNOST MATERIJALA, Građev. knjiga, Beograd, 1989. Dr sc. RAŠKOVIĆ D.: OTPORNOST MATERIJALA, Naučna knjiga, Beograd, 1990. Dr sc. Šerif Dunjica, OTPORNOST MATERIJALA, Naučna knjiga, Beograd.2004. Dr sc. H. Hrnić.: OTPORNOST MATERIJALA, Arhitektonski fakultet Sarajevo 2012. Dr sc. B. EMRA . Autoriz. predavanja Škol.1991/92 god.na Građ. – Arh. Fakul. Univerz. u Prištini, Otpornost materijala. Assessment and grading:



Teacher who provided the information: Bujar Emra, assistant professor


Course title: MATERIAL RESISTANCE 2

GENERAL INFORMATION




Year: 2 Consultations (office hours): Tuesdays and Wednesdays 11-13.00


Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars Consultations

30 (2 per week) 30 (2 per week) 5 + 5 = 10

COURSE DESCRIPTION Students should be able to master knowledge further within the course Material resistance resistance 1, in which the actual bodies are deformable, so it is necessary to find a link between external forces, body shape and type of material on the one hand, and the stress and deformation of the body, on the other hand. The science that deals with these laws is called Theory of elasticity, and it is a branch of mathematical physics. It starts with an experiment of the established material properties and apply the laws of mechanics.

Corequisites & prerequisites: Material resistance 1

Course aims & objectives: By the end of the course students should master the methods of calculations and dimensioning of simple linear support with the given load.

Teaching methods: Lectures, exercises, graphic works with consultations.

Course content: Preparation week: Preparation and semester enrolment. Information about the course: tests, exams, literature

I week (2 lessons)

Deformation of beams under bending. Elastic line of beam bended by forces. Differential equation of the elastic line. Application to characteristic cases of loaded beams.

II week (2 lessons)

Determination of deflection and slope of elastic line by the fictitious bearer method. Moh-Maxwell analogy. Graphical determination of elastic line of bended beams.


Statically indeterminate problems. Introductory remarks. The methodology of solving statically indeterminate problems. Continuous bearers. The equation of three moments.

IV week (2 lessons)

Deformation work of the general theorem: Work of external forces. Deformation work. Deformation work expressed by internal forces. Axial

stress of the beam girder. Determining of displacement using Castigliano’s theorem.

V week (2 lessons)

Solving of statically indeterminate problems with methods of deformation work. Numerous examples. The homogeneity of stress around the point.

VI week (2 lessons)

The basic status of stress analysis. Componential stress. The stress tensor. Linear stress state. Plane stress state. MOHR's circle. Principal stresses in plane stress condition.


Examples of linear and plane stress: linear stress state; Torsion of tubes with thin walls; The cylindrical tube with thin walls (boiler formula). Spatial stress state.


Principal stresses and invariants of stress. Mohr's circles for spatial stress condition. The main shear stresses in the physical state of stress. Ellipsoid of stress, surface of directrix and surface of stress. Octahedral surfaces and octahedral stress.

IX week (2 lessons)

Decomposition of the stress tensor in spherical and deviation part. Relations between the stress and external forces. Relations between the stress and surface forces (surface conditions) - Cauchy equation.

X week (2 lessons)

Links between the stress and body forces - Naviera's equations of balance. Analysis of deformation. The concept of deformation. Points displacement. Dilation and skating.

XI week (2 lessons)

Condition deformations around the point. Connections between componential displacements and componential deformations. Deformation tensor. The main dilatations. Invariants of deformation - cubic dilation.


The strait state of deformation. Terms of deformation matches. Relations between the stress and deformation. The concept of the ideal body. The effect of time and temperature on the behaviour of the body under load.


Ideal elastic body. Ideal plastic body. Terms of plastic flow. Problems of stress and deformation in the strained body. Lame's and Beltrami-Michell’s equations.


Sant-Venant’s principles of compatibility. Airy stress functions. Numerous examples for the determination of volume and surface forces.

The final week Pre-test consultations, signing the index The Seminar Program


The works and the principal of their creation During the seminars (exercises), with about 50% of all classes planned for self-preparation of papers, students are obliged, under the assistant’s supervision, to complete their graphic works. Reading list: Dr sc. Vlatko BRČIĆ,: OTPORNOST MATERIJALA, Građev. knjiga, Beograd, 1989.

Dr sc. RAŠKOVIĆ D.: OTPORNOST MATERIJALA, Naučna knjiga, Beograd, 1990. Dr sc. Šerif Dunjica, OTPORNOST MATERIJALA, Naučna knjiga, Beograd.2004. Dr sc. H. Hrnić.: OTPORNOST MATERIJALA, Arhitektonski fakultet Sarajevo 2012. Assessment and grading:





Course title: TRAFFIC LINES 1

GENERAL INFORMATION



Teaching assistant: Izet Hot, Ph.D.



Programme of study:

Integrated academic studies: Civl engineering

ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Students are introduced to the basic concepts of traffic and roads, as well as the basic elements of designing roads.


Course aims & objectives: By the end of the course students should know the basics of design and construction of traffic communication: roads, railways and airports.

Teaching methods: Lectures, exercises, term papers, midterm tests and the final exam with consultations.

Course content:

I week

Introduction: Curriculum, term papers, midterm tests, exams, reading list, etc. Basics about traffic. The development of road transport and the role of the road network. The development of railway transport and the role of the railway network. Air traffic. Roads - classification.

II week

The relation between the vehicle and the road: traction force, resistance, acceleration, braking force, theoretical stopping distance, real stopping distance, length of time in the course of observation and reaction of drivers.

III week

Elements of the cross section, the categorisation of public roads, important technical terms used in the Public Roads Act and their meanings.

IV week Elements of roads in the situational plan, the required transparency in

horizontal curves, longitudinal profile, the required transparency in vertical curves.

V week The basic principles of rerouting: classical way of rerouting, rerouting with a computer, an intersection.

VI week The basic elements of traffic analysis: the flow, speed and density. Basic models of traffic flow: speed-density model, model flow-density, flow-velocity model.

VII week City roads: introduction, classification of urban roads, surface intersections. Midterm test 1

VIII week Bus stops, pedestrian paths and sidewalks, bicycle paths, parking lots, the concept of traffic calming.

IX week

Airports: an introduction, categorisation of airports, the protected zone of airports, the geometry of the airport, signalling, aircraft dimensions, methods for assessing the capacity of the runway, the orientation of the airport.

X week

Railways: an introduction, basic classification of tracks, the forces acting on the train, stopping distance, utilization of the kinetic energy of the train, the basic structural elements of the railway, site plan and longitudinal profile, the planum of the railway, railway clearance, geometric elements of the railway plan, elements of longitudinal profile, railway stations, the main elements of the superstructure.

XI week Road structure: an introduction, types of modern roads, modern types of flexible roads, modern types of rigid roads.

XII week Road structure: layers of roads, road materials.

XIII week Road structure: the influence of environment on the pavement, the impact of temperature and water.

XIV week Presentation of seminar papers. Midterm test 2.

Student’s obligations: Lectures and exercises are compulsory (students can be absent only 3 lessons). Home works, midterm tests and the final exam.

Reading list: Cvetanović, A., Osnove saobraćajnica, Gradjevinski fakultet, Beograd, Cvetanović, A., Osnovi puteva, Naučna knjiga, Beograd, 1989. Assessment and grading:





Course title: CONSTRUCTION STATICS 1

GENERAL INFORMATION






Programme of study:


ECTS credits: 7

TIMETABLE

Lectures Seminars

30 (2 per week) 30 (2 per week) 5 + 5 = 10

COURSE DESCRIPTION Students are introduced to mostly domestic authors in the field of Construction statics. Some parts of lectures relate to the technical theory of bending a rod, the basic unknown and basic equations of linear support, calculation of static displacements of certain supports, application of the principle of virtual displacements and kinematic methods in the theory of statically determined structures.

Corequisites & prerequisites: Passed exam in Material resistance 1 and 2

Course aims & objectives: By the end of the course students should master the methods of calculations of bearer lines due to the action of a given load.


Course content: Preparation week: Preparation and semester enrolment Introduction: Curriculum, term papers, midterm tests, exams, reading list, etc.

I week (3 lessons)

1. BASIC TECHNICAL EQUATION THEORY Rod bending in the plane 1.1. Deformation of the rod axis 1.2 External and internal forces 1.3. Terms of the balance of rod element 1.4. Relationship deformation size, forces of the i temperature changes 1.5. The influence of transversal forces on the deformation of the bearer

II week (3 lessons)

2. FORCE IN CROSS-SECTIONS OF ROD 2.1. Condition integral of equilibrium of the rod element

2.2. Diagrams of internal forces of the simple beam 2.3. Deformation of the rod 2.3.1. Integrals of differential equations for displacing Coordinates of rod axis 2.3.2. Static-kinematic (Mohr) analogy.


3. TEOREMES ON ROD ENERGY 3.1. The principle of virtual displacements 3.2. The principle of virtual forces 3.3. Reciprocity theorem 3.3.1. Theorem on reciprocity of forces 3.3.2. Theorem the reciprocal displacement 3.3.3. Theorem of reciprocal reactions 3.3.4. Theorem of reciprocal reactions and displacements

IV week (3 lessons)

3.4. Calculation of displacement by using PVS. 3.4.1. Calculation of displacement by applying PVS for solid bearers 3.4.2. Calculation of displacement by applying PVS at the bars. bearer 3.5. Numerical methods for calculation of displacement 3.5.1. Diagrams of displacements

V week (3 lessons)

4. STRAIGHT LINE SUPPORT, DEFINITION AND CLASSIFICATION 4.1. Elements and nodes of bearers - definition 4.2. Basic an unknown and equations of statics 4.3. Classification of a bearer 4.3.1. Kinematic Classification 4.3.2. Static Classification 4.4. Reactions and static forces in sections of certain bearers

VI week (3 lessons)

4.4.1. Three joint arch 4.4.2. Chain bridge


4.5. Trusses 4.5.1. Analytical expressions for the forces in truss members with triangular filling 4.5.2. Analytical expressions for the forces in truss members with secondary infill 4.5.3. Method of replacing elements (Heneberg's method)


4.5.4. Determination of elastic weight using the PVS - The displacement diagram of trusses 4.6. Villiot's plan of shifts

IX week (3 lessons)

MIDTERM TEST

X week (3 lessons)

5. MECHANISM KINEMATICS BASICS 5.1. Basics on displacement of the plate 5.2. The relative displacement of the plate 5.2.1. Determination of reactions and internal forces of the cross-sections 5.3. Displacement of a forced mechanism 5.3.1. Examples of displacement of a forced mechanism

XI week (3 lessons)

6. THE INFLUENTIAL FUNCTIONS AND INFLUENTIAL LINES 6.1. The concept of influential functions and influential line 6.2. Construction of influential lines by the static method 6.2.1. influential lines for reactions and forces in cross-sections of full bearer.


- Influential lines for reactions in sections of free beams, - Influential console line,

- Influential line of a beam with the overhang, - Influential line of Gerber's beams.


- Influential line bearers on three joints 6.2.2. Influential lines of static lattice Bearer.


6.3. Construction of influential lines by kinematic method 6.4. Influential scroll lines

Ending week (3 lessons)

Preparations for the final exam

Student’s obligations: The Seminar Program


The works and the principal of their creation During the seminars (exercises), with about 50% of all classes planned for self-preparation of papers, students are obliged, under the assistant’s supervision, to complete their graphic works. TASK 1 Calculate and draw the static diagrams M, T and N to give full static load bearer and determined. The time limit for making the task is 4 hours. TASK 2 For given load bearer due to: - loads, temperature changes, the temperature difference and the displacement of support, determine: the vertical displacement component of a given cross-section, the horizontal component of the displacement of the given support, rotation of the given cross-section, rotation angle of the given rod, the change of the angle between the given lines and the change of the angle between given cross-sections. The time limit for making the task is 6 hours. TASK 3 For the given truss and the load, the horizontal and vertical movement of the given grid node should be determined The time limit for making the task is 4 hours. TASK 4 Using the static and kinematic methods, determine and draw the influential lines for the given full bearer and truss.

The time limit for making the task is 4 hours.

Reading list: M. ĐURIĆ, STATIKA KONSTRUKCIJA, Beograd, 1990. B. Popović, M. Milićević, STATIKA KONSTRUKCIJA 1, Niš, 2002. G. Radivojević. S.Ranković STATIKA KONSTRUKCIJA, Beograd, 1986. B. EMRA Autor. predav. Šk.1990/91 god. na Građ. – Arh. Fak. Univer. u Prištini iz STATIKE ARHIT. KONSTRUKCIJA. Assessment and grading:





Course title: CONCRETE CONSTRUCTIONS 1

GENERAL INFORMATION

Year of study: - Lecturer: Stanko Brčić, professor




Semester: V (winter)

Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Introduction to the theory of reinforced concrete (RC) constructions; mechanical, physical and rheological properties of materials; dimensioning of cross sections of AB design for all characteristic stress conditions, according to the theory of limit states (limit load states and usability), and to the allowable stress; relevant regulations BAB 87 and EC 2; the construction of line AB girders.

Corequisites & prerequisites: Material resistance 1 and 2

Course aims & objectives: By the end of the course students should acquire knowledge in the field of dimensioning of reinforced concrete cross-section of the liner girders for all stress conditions, according to the theory of limit states of bearing capacity and usability, and theory of allowable stress in accordance with the relevant regulations BAB 87 and EC 2, as well as to be able to construct simple linear AB girders.

Teaching methods: Lectures, exercises, graphic works, written and oral exam; consultations.

Course content:

I week Introduction; mechanical properties of concrete; Deformation of concrete under load.

II week Types and characteristics of reinforcing steel; Joint reaction of concrete and rebar; Calculation of AB construction.

III week Dimensioning according to the theory of limit conditions; Centric and eccentric tightening; Centric pressure buckling;

IV week Clean bending; Complex bending; Single and double reinforcement of rectangular cross-section.

V week Sizing beams of T and G cross-section; Small eccentricity of compressive forces.

VI week Small eccentricity of compressive forces; Interaction diagrams M-N.

VII week Application of the interactions diagram M-N; The buckling effect on the ultimate bearing capacity of rods.

VIII week Marginal effects of transverse forces; armature fitting for the main tensile

stress. IX week Border effects of torsion moments.

X week Sizing for simultaneous operation of transverse forces and torsional moments.

XI week The line of tensile forces; Conducting armature along the axis of the girder.

XII week Dimensioning of joints and short elements. XIII week Dimensioning according to the theory of allowable stress.

XIV week Dimensioning according to the theory of allowable stress; EC specifics Eurocode 2.

XV week Comparative presentations of national regulations BAB 87 and regulations of the European Union EC 2.

Student’s obligations: Lectures and exercises are compulsory. Students take midterm tests, graphic works, as well as the written and oral exam.

Reading list: D. Najdanović: Betonske konstrukcije, Beograd, Orion art, 2004. Grupa autora: Beton i armirani beton prema BAB, Tom 1 i 2, Beograd, 1995. Ž. Radosavljević: Armirani beton 2, Teorija graničnih stanja, Građevinska knjiga, Beograd, 1986. J. Todorović: Betonske konstrukcije, Visoka građevinsko-geodetska škola, Beograd, 2011. M. Aćić, A. Pakvor, Ž. Perišić: Teorija armiranobetonskih i prednapregnutih konstrukcija, Građevinski fakultet i Naučna knjiga, Beograd, 1983. S. Brčić: Betonske konstrukcije 1, predavanja, www.np.ac.rs Assessment and grading:

• I midterm test – 20 p. • II midterm test – 20 p. • Student engagement (and attendance on lectures) – 5 p. • Student engagement (and attendance on seminars) – 5 p. • Paper(s), graphic works –10 p. • Oral exam – 40 p. • Note – written exam is organized for students who have not passed the tests.


Teacher who provided the information: Stanko Brčić, professor


Course title: CONCRETE CONSTRUCTIONS 2

GENERAL INFORMATION






Programme of study:


ECTS credits: 7

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Introduction to the elements of real construction projects; Presentation of the loads on constructions; Regulations on loads; Classification of buildings; Structural systems; Analysis of loads (constant, useful, influence of the soil, influence of wind, seismic effects, etc.); Calculation models for analysis of buildings; floor joists (monolithic, prefabricated); Staircases; Various forms of building foundations (footings, foundation strips, beams and wire mash, foundation slab, foundation piles); Retaining walls; Protection of foundation pits and adjacent constructions.

Corequisites & prerequisites: Concrete constructions 1

Course aims & objectives: By the end of the course students should acquire knowledge in the field of analysis, calculations and dimensioning of reinforced concrete buildings for various purposes, as the most widespread buildings.

Teaching methods: Lectures, exercises, semester work, written and oral exam; Consultations.

Course content:

I week Introduction; Construction projects: preliminary, main, built condition; Load classification of building construction.

II week Basic (permanent and useful) building load; Regulations on loads; Loading due to the stored liquids and soil pressure.

III week Construction loads due to the impact of wind; National rules and regulations of the EU (EC1-4).

IV week The impact of earthquakes on constructions; National and EU regulations (EC 8).

V week Classifications of buildings; Different structural systems of buildings; Basic assumptions and calculation models in the analysis of buildings.

VI week Analysis of buildings as a planar (2D) calculation models.

VII week Spatial (3D) computational models for the analysis of buildings; Computer application.

VIII week The ceiling joists (general); Monolithic ceiling joists; Plates in one direction; Crosswise reinforced plates; Dimensioning.

IX week The plates directly supported on pillars; Problem and analysis of plate penetration.

X week Mushroom plate (pillows and classical capitals); Ribbed ceiling.

XI week Caisson ceiling and the beam wire mash; prefabricated ceilings; Semi-prefabricated ceilings.

XII week Stairs in buildings: different systems, calculation and dimensioning of stairs.

XIII week Vertical elements in buildings: pillar, wall canvas and combinations thereof; Calculation and dimensioning of vertical elements in buildings.

XIV week Design and calculation of foundations for buildings; Fundamental strips; Footings; fundamental wire mash; Full base plate; Building on the foundation board and piles.

XV week Retaining walls; Basement walls in buildings exposed to the influence of the soil; Protection of foundation pits and adjacent constructions in the construction phase of the building.

Student’s obligations: Lectures and exercises are compulsory. Students take midterm tests, and the written and oral exam.

Reading list: D. Najdanović: Betonske konstrukcije, Beograd, Orion art, 2004. Grupa autora: Beton i armirani beton prema BAB, Tom 1 i 2, Beograd, 1995. Ž. Radosavljević: Armirani beton 2, Teorija graničnih stanja, Građevinska knjiga, Beograd, 1986. Ž. Radosavljević, D. Bajić: Armirani beton 3, Građevinska knjiga, Beograd, 1988 J. Todorović: Betonske konstrukcije, Visoka građevinsko-geodetska škola, Beograd, 2011. M. Aćić, A. Pakvor, Ž. Perišić: Teorija armiranobetonskih i prednapregnutih konstrukcija, Građevinski fakultet i Naučna knjiga, Beograd, 1983. S. Brčić: Betonske konstrukcije 2, predavanja, www.np.ac.rs Assessment and grading:





Course title: WOODEN CONSTRUCTIONS

GENERAL INFORMATION

Year of study: - Lecturer: Esad Mešić, professor


Teaching assistant: Emir Maslak



Programme of study:


ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

The subject is constructional. Characteristics of wood as a structural material and some aspects of its application in the civil engineering.

Corequisites & prerequisites: Material resistance

Course aims & objectives: By the end of the course students should acquire knowledge about wood as a construction material, with its advantages and disadvantages as well as the justification for its use. The course content should provide introduction to the basic principles of the construction and calculations of structural elements and systems. Also, the subject should provide information on the maintenance and recovery of wooden objects in exploitation.

Teaching methods: Lectures, exercises, semester work, written and oral exam; Consultations.

Course content: Preparation week: Preparations. Semester enrolment.

I week Wood as a construction material. Wood technology. II week The properties of wood. Types of materials and classes.

III week The budgetary concepts of timber structures. Relevant factors which affect the capacity of timber structures.

IV week Designing structure elements. Concepts of calculation. Centrally tightened rods. Centrally pressed rods.

V week Bending. Slope bending. Rods eccentrically tighten. Rods eccentrically pressed.

VI week Midterm test 1. VII week Fasteners. Bolts. VIII week Mandrels. Nails. IX week Dowels. X week Connections and extensions. Shafts axially stressed rods. XI week Links to incision. 90-degree angle connections. XII week Classic roofs. Analysis of the load.

XIII week Classic roofs. Calculation. XIV week Glued laminated wood (LLD). Production technology. XV week The straight girders of constant cross-section of the LLD.

The final week Midterm test 2

Student’s obligations: Lectures and exercises are compulsory. Students take program assignments and midterm tests.

Reading list: M.Gojković, D. Stojić: Drvene konstrukcije, Građevinski fakultet u Beogradu, 1996. M.Gojković, B.Stevanović, M.Komnenović, S.Kuzmanović, D.Stojić: Drvene konsrukcije, Građevinski fakultet u Beogradu, 2001. Evrokod 5: Proračun drvenih konstrukcija, Deo 1-1: Opšta pravila i pravila za zgrade, Beograd, 2009. Assessment and grading:



Teacher who provided the information: Esad Mešić, professor


Course title: UNDERGROUND CONSTRUCTIONS

GENERAL INFORMATION



Teaching assistant: Petar Knežević



Programme of study:


ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Underground constructions, as a subject, should enable students to become familiar with the basic methods and elements of proper construction funding. Students learn about the specific conditions of funding, with different types of foundations and their technical and economic characteristics upon which the correct choice of the depth of foundation is made. Students acquire the basic knowledge of interaction between design and soil, as well as the basic knowledge of the types of works in the construction of the foundations.

Corequisites & prerequisites: Passed exam in Soil Mechanics

Course aims & objectives: By the end of the course students are trained to independently apply the acquired knowledge in the field of shallow and deep foundations of modern construction, and, in the best possible way, to carry out the protection of excavation and foundation pits of buildings in order to create safe conditions for construction works.



I week Introduction and basic settings of the correct foundation design (structure-foundation-soil). Foundation loads and the necessary basis for the design of foundations. Types of materials in building construction.

II week

Foundation pressures on the soil. Deformation of soil and foundation settlement. Basic types of foundations and their technical and economic characteristics upon which the correct choice of the depth of foundation is made.

III week

Specific conditions of funding. Calculation and construction of shallow foundations. Massive foundations. Footings. Strip foundations under the walls of the building (based on the non-reinforced and reinforced concrete).

IV week Foundations of prefabricated reinforced concrete pillars. Foundations of steel columns. Shared-based multi-pillars, foundation girders (counter

beams), foundation grills and foundation plates.

V week Stability control of foundations such as retaining walls, bridge piers and gravity dams.

VI week

Foundation calculation based on a deformable surface. Solution of Winkler's model of the soil. Calculation of basic girder on a linear homogeneous elastic deformable area. Solving the problem of finite differences.

VII week

The problem of interaction between the structure and soil. Deep foundations. Preparation of piles. Application of piles, pile type and bearing capacity of piles. Calculation and construction of foundation piles.

VIII week Construction of shallow foundations and securing foundation pits. Types of works in building foundations and development of foundation pits.

IX week Foundation pits without insurance of flanks. Foundation pits with the flank insurance. Insurance of large foundation pits.

X week Protection of the flank pits using a sheet piling. Sheet-pile wall of wooden planks. Calculation and dimensioning. Hydraulic calculation of sheet-piling and its stability control.

XI week Protecting the flanks pits using a sheet piling of steel sheet piles, calculation and dimensioning as well as the stability control.

XII week Protection flanks with concrete piles, calculation, dimensioning, stability control.

XIII week Building a foundation under the protection of a dike dam. Dike dams of wooden planks, hydraulic calculation of dike dams, stability control and dimensioning of dike dams.

XIV week Building a foundation under the protection of a dike dam with walls of steel sheet piles. Dimensioning, calculations and control stability.

XV week Reinforced concrete diaphragm (numerical methods).

Student’s obligations: Lectures and exercises are compulsory. Students take midterm tests and the final exam.

Reading list: Fundiranje, Verka Prolović, Građevinsko-arhitektonski fakultet u Nišu, 2003. Fundiranje građevinskih objekata, Stevan Stevanović, Izgradnja, 2006 Zbirka zadataka iz fundiranja, M. Lazović, M. Vukićević, S. Lelović, Građevinski fakultet u Beogradu Assessment and grading:





Course title: METAL CONSTRUCTIONS 1

GENERAL INFORMATION

Year of study: - Lecturer: Bratislav Sipanić, professor





Programme of study:


ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Students learn about the basic characteristics of materials in metal constructions, principles of calculation of elements of steel and aluminium alloys, their connections and extensions, taking account of their stability, functionality and cost, using the knowledge acquired from other related subjects and areas.

Corequisites & prerequisites: Passed exam in Material resistance, Construction stability and Theory of surface girders

Course aims & objectives: By the end of the course students are trained to acquire the necessary knowledge and to be able to carry out calculations of metal constructions that will be needed to solve specific problems of metal halls, buildings and bridges.

Teaching methods: Lectures, exercises, seminar work, midterm tests, a partial test and the final exam. Consultations. Course content: Preparation week: Preparations. Semester enrolment.

I week Information about the course: tests, exams, literature. Introduction: Names of steel and steel products.

II week Connections: type of compounds and coupling agents, forces in coupling agents due to M, T, and N.

III week

Connections: calculation of required number of columns of fasteners for the reception and transmission of M, T and N. The concept of the working surface. Diagram of flow of forces in the zone of intersection in the zone of the extension depending on the type of compound.

IV week Connections: calculation of prefabricated extensions according to applicable forces that occur in the area of the extension or according to geometric characteristics (statically covered extensions).

V week Angle connections: Calculation of angle connections.

VI week Welding: basic concepts of welding, welding processes, defects in welds, control and calculation of stresses in the seams, depending on the type of

welded joints and stress fields in them.

VII week Axially pressed rods: Calculation of axially compressed prismatic rods of one-piece and multi-part cross-sections according to the criteria of stability.

VIII week Trusses: design, centring rods and fasteners and a selection of cross-sections of the rods of trusses, buckling lengths in steel and frame constructions.

IX week Trusses: Calculation of the connection of diagonal bars and the band rods with the caulked or welded trusses and the stress control in the gusset plates.

X week

Buckling of slender elements in cross-section: calculation of resistance of slender elements in cross-section of the rod according to the criteria of given equivalent stress as a function of the limit of normal and shear stress buckling.

XI week Buckling of slender elements in cross-section: the concept of effective width.

XII week EC3: Calculation of metal constructions of hollow and cold-formed profiles according to EC3, calculation of compounds in the nodes directly welded tubular profiles. The position and sequence of welding.

XIII week Buckling of thin-walled elements in the HOP.

XIV week

Aluminium in civil engineering structural design: the application of aluminium and its alloys in civil engineering design, basic mechanical properties and chemical composition, products of Al-alloy, basic codes, their meaning and the choice of Al-alloy structural engineering.

The final week The final exam

Student’s obligations: Lectures and exercises are compulsory. Students do home works (tests), take midterm tests, the partial and the final exam.

Reading list: D. Veličković: Čelične konstrukcije, GAF, Niš, 2004. D. Veličković, S. Živković: Priručnik za čelične konstrukcije, GAF, Niš, 2002. D. Buđevac i dr.: Čelične konstrukcije - osnove proračuna i konstruisanja, GF, Beograd, 1999. D. Buđevac i dr.: Metalne konstrukcije - specijalna poglavlja i tehnologija izrade, GF, Beograd, 1999. Publikacije iz EC3, GF Beograd, 1995. i kasnije. M. Tarić: Assessment and grading:



Teacher who provided the information: Bratislav Stipanić, professor


Course title: FINITE ELEMENT METHOD IN CIVIL ENGINEERING

GENERAL INFORMATION





Semester: VI (summer)

Programme of study:


ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION During the course Finite Element Method (FEM) students are introduced to the basic principles of numerical simulation of various problems in the field of applied mechanics by application of FEM. Representations of direct formulation in determining the stiffness matrix, particularly related to static problems in linear support in plane and 3D space, but also on the surface girders (plates and shells).

Corequisites & prerequisites: Construction statics 2

Course aims & objectives: By the end of the course, students have to acquire basic knowledge in the field of Finite Element Method to gain a better understanding in the forming of the computational model of construction by application of modern computer software based on the Finite Element Method.

Teaching methods: Lectures, exercises, seminar work, midterm tests, written and oral exams. Consultations.


I week Introductory remarks on the subject; Introductory remarks on the FEM: development, relations with the Continuum mechanics, basic principles of FEM, computer implementation FEM

II week Linear theory of a flat beam: assumptions, geometric and kinematic quantities, forces in the intersection, conditions of equilibrium, the basic equation

III week Matrix analysis of beam; stiffness matrix, vector of the equivalent load, balance conditions

IV week Direct method of determining the stiffness matrix; axial strain, bending levels; direct method of determining the equivalent load vector; flexibility matrix

V week Line finite elements: node unknowns (generalised coordinates), interpolation function, Hermite interpolation polynomial, natural coordinates, showing displacement fields within the finite element

VI week Matrix display of the deformation within the element; matrix (operator)

connection between the generalised deformations and strain; matrix display of constitutive relations, matrix of constitutive equations

VII week Vector of equivalent linear finite element loads; basic equations of finite element

VIII week Final elements of the axial straining rod; Local and global coordinates, coordinate transformation and the transformation matrix

IX week

The formation of lattice structure (lattice plane), the process of "gathering" finite element ("assembly") method, the code numbers, the global stiffness matrix, nodal force vector in the local and global coordinates

X week Boundary conditions and their input in the equilibrium equation; Solving equations of equilibrium; determination of force in the cross section of the obtained generalised coordinates

XI week

The final elements of rods bended in the plane (two nodal points); two/three coordinates in the node; stiffness matrix in local and in global coordinates; formation of the model girder in the plane, method of code numbers; vector of equivalent nodal forces; input of boundary conditions

XII week

Balance equations and solutions; determining the force in the cross section of the obtained generalized coordinates; Girders in space; a combination of axial stresses, bending in two planes and torsion; stiffness matrix in global coordinates and the equivalent load vector; balance equations and solutions; forces in cross-section

XIII week Finite elements for plates; elements with 4, 8 and 9 nodal points; interpolation function; stiffness matrix of finite elements for plates; mesh choice of the finite elements in the panel discretisation

XIV week Discussion of plate analyses by the different finite elements and network densities. Finite elements analysis of shell

The final week Software presentation for structural analysis using the FEM;

Student’s obligations: Lectures and exercises are compulsory. Students do a semester work, and take the written and oral exams.

Reading list: M. Sekulović: Metod konačnih elemenata, Građevinska knjiga, Beograd, 1988 M. Sekulović: Teorija linijskih nosača, Građevinska knjiga, Beograd, 2005 C.A. Felippa: Introduction to Finite Element Methods (ASEN 5007), Dept. od Aerospace Engineering, University of Colorado at Boulder, USA, 2014, www.colorado.edu O.C. Zienkiewicz: The Finite Element Method, 3rd Edition, McGraw Hill, UK, 1977 S. Brčić: Metoda konačnih elemenata, predavanja, www.np.ac.rs Assessment and grading:



Teacher who provided the information: Stanko Brčić, professr


Course title: UNDERGROUND CONSTRUCTIONS

GENERAL INFORMATION


Course status: Optional Teaching assistant:

Year: 3 Consultations (office hours): Once a week


Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars

30 (2 per week)

COURSE DESCRIPTION

Students are introduced to the basic concepts of tunnels and other underground facilities.


Course aims & objectives: By the end of the course students will have the basics of design and construction of traffic tunnels and other underground facilities.

Teaching methods: Lectures, term papers, midterm tests, and the finalexams. Consultations.


I week Curriculum. Basic terms. Historical development. Classification. Characteristics of the route of the tunnel. Elements of the cross section of the tunnel.

II week Geotechnical substrate. Mechanics of rocks. Classification of rock masses.

III week Stress state around the hole. Custer theory. IV week Analyses of a load. Forms of tunnelling instability. V week Basic static scheme. Static calculation. The use of computers. VI week Countertop systems. Models. Midterm test (1).

VII week Common methods of construction. Excavation of rock mass. Machines for excavation walls.

VIII week Modern methods of construction of the tunnel. Blasting. IX week NATM - theoretical foundations and applications. X week Building from the surface. Micro tunnel. Film. XI week Drainage and waterproofing. Brightness. Midterm test (2)

XII week Fires in underground facilities. Injection. XIII week Ventilation. Anchoring. Immersed tunnels. XIV week Municipal tunnels. Underground space of different purposes. Repairing.

The final week Modern developments in underground construction. Film.

Student’s obligations: Lectures and exercises are compulsory (students may be absent max. 3 weeks). Students do a semester work, and take the written and oral exams.

Reading list: D.Lukić: Tuneli, Pisana predavanja, 2004/05. P. Jovanović: Izrada podzemnih i prostorija velikih profila, Građevinska knjiga, Beograd, 1984. B. Popović: Tuneli,. Građevinska knjiga, Beograd, 1P. Jovanović: Projektovanje i proračun podgrade horizontalnih podzemnih prostorija (knjige 1, 2, i Rudarsko geološki fakultet, Beograd, 1994. P. Anagnosti: Podzemne građevine i saobraćajni tuneli, Pisana predavanja, R.Ćulibrk: Geotehnički radovi u čvrstim stenama, Građevinski fakultet Subotica, 1999. Assessment and grading:





Course title: CONSTRUCTION PRINCIPLES

GENERAL INFORMATION


Course status: Optional Teaching assistant: Milivoje Milanović

Year: 3 Consultations (office hours): Mondays, 13.00-14.00

Semester: V (zimski)

Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars

30 (2 per week)

COURSE DESCRIPTION

Course Construction Principles should enable students to learn the basic structural elements of the building, the principles of forming the structural assemblies with consideration of the load transfer.

Corequisites & prerequisites: Passed exam in Introduction to the architectonic constructions, Technical mechanics 1 and 2, Material resistance Course aims & objectives: By the end of the course students should master the knowledge of the basic structural elements and structural compositions in architecture and construction; they should understand the mode of force transmission in structural elements from the roof to the foundations of the building. By the application of simple methods, they need to master the approximate dimensioning of structural elements, and set (design) structural system on a simple object, indicating the structural elements.

Teaching methods: Numerical exercises, midterm tests and term papers.


I week Information about the course: tests, exams, literature. Introduction. Historical overview of construction system. Materials. The basic structural supports. Basic principles of design.

II week Effects on structures. Classification and description of effects on structures. External effects. Characteristics of operations. Building security of these operations.

III week Effects on structures. Classification and description of effects on structures. Internal effects. Characteristics of operations. Building security of these operations.

IV week

The principles of forming the structural system. System classification. Line constructive systems. Beam systems, facts, supports, static systems. Solid wall AB beams, steel beams, wooden beams. Construction and approximate dimensioning mentioned beams.

V week Line constructive systems. Beam systems, effects, supports, static

systems. AB lattice beams, steel beams, wooden beams, and their construction and approximate dimensioning.

VI week

Line constructive systems. Prestressed beams. The concept of prestressing. Prestressing systems. Approximate dimensioning of previously mentioned beams. Object with prestressed beams. Composite structural elements. Basics about of the coupling. Construction principles of composite elements. Approximate dimensioning.

VII week

Line constructive systems. Pillars. Types of pillars, materials. Construction principles. Approximate dimensioning. Arched systems. Definition. Characteristics of arc systems. Divisions. Effects. Approximate dimensioning of elements of arc systems.

VIII week

Framework systems. Definition. The elements of the framework system. Special review of pillars as one of the most important elements of the system framework. Approximate dimensioning of certain elements of the framework systems. Cantilever Systems. Definition. Elements of cantilever systems. Approximate dimensioning of certain elements of cantilever system.

IX week

Structural surface elements. The ceiling joists. The types of floors. Principles of transferring loads in floor structures. Selection of floor construction. Principles of construction of ceiling joists. Approximate dimensioning.

X week Structural surface elements. Shell. Definition, types of shells, the principles of formation and construction of shells. Structural elements of shells.

XI week Structural surface elements. One-way and two-way curved shell. Folds. Construction principles of folds.

XII week Hanging structures. Elements of suspension structures. The division suspension structures, materials, construction. Objects of suspension structures.

XIII week

Structural elements of line systems to ensure dimensional stability of objects: the connection, the walls, the core for stiffening, transverse frames. Spatial frames. Principles of constructing elements for stiffing objects. Approximate dimensioning for stiffing facilities.

XIV week Multi-storey buildings. Constructive systems of multi-storey buildings. Very tall buildings.

The final week

Student’s obligations: Lectures and exercises are compulsory (students may be absent max. 3 weeks). Students do a semester work, two midterm tests and the final exam.

Reading list: Nestorović, M. : Konstruktivni sistemi – principi konstruisanja i oblikovanja , Arhitektonski fakultet, Beograd, 2000. Radivojević, G.,Kostić,D. : Konstruktivni sistemi u arhitekturi 1 ,Građ. fakultet, Niš, 2011. Mitag, M. : Građevinske konstrukcije ,Građevinska knjiga, Beograd, 2000. Glišić, M.: Fundiranje građevinskih objekata,Arhitektonski fakultet, Orion art, Beograd 2004, Her, Hart, Zontag, : Atlas čeličnih konstrukcija,Građevinska knjiga, Beograd, 1987. Savić, Lj.: Teorija konstrukcija, Građevinski fakultet , Beograd, 2007. Sekulović, M. : Teorija linijskih nosača , Građ. fakultet, Beograd, 2006.

Assessment and grading: • I midterm test – 20 p. • II midterm test – 20 p. • Student engagement (and attendance on lectures) – 5 p. • Student engagement (and attendance on seminars) – 5 p. • Paper(s), graphic works –10 p. • Oral exam – 40 p. • Note – written exam is organized for students who have not passed the tests.




Course title: TRAFFIC LINES 2

GENERAL INFORMATION






Programme of study:


ECTS credits: 4

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Students are introduced to the basic concepts of traffic and roads, as well as the basic elements of designing roads.


Course aims & objectives: By the end of the course students should know the basics of design and construction of roads.


Course content:

I week Introduction: term papers, midterm tests, exams, reading list, etc. Basics about traffic. Road and traffic (development of road traffic, road classification criteria).

II week Exploitation indicators, speeds, vehicles.

III week Project geometry of roads (layout plan, directions, curves, levelling plan, warping of roads).

IV week Project geometry of roads (layout plan, directions, curves, levelling plan, warping of roads).

V week Project geometry of roads (layout plan, directions, curves, levelling plan, warping of roads).

VI week Systems driver-vehicle-environment (psycho - physical factors of the driver, vehicle movement, sliding resistance).

VII week Road and environment. Midterm test 1

VIII week Route alignment and design (principles of route alignment, route

alignment techniques). IX week Intersections (surface and denivelated) and supporting facilities. X week Support equipment and road signalisation. XI week Traffic analysis and geometric analysis.

XII week Methodology and technology of road design: the process and structure design, evaluation of alternative solutions.

XIII week City and transportation. Design of urban roads.

XIV week Term papers and graphic works. Presentation of term papers. Midterm test 2

The final week Presentation of term papers and preparation for the final exam.

Student’s obligations: Lectures and exercises are compulsory (students can be absent only 3 lessons). Home works (tests), midterm tests and the final exam.

Reading list: Anđus, Maletin: Metodologija projektovanja puteva; Građevinski fakultet Bg, 1993. D. Damjanović, A. Milićević, D. Cvetković: Usklađivanje konstruktivnih elemenata puta prema očekivanoj brzini u slobodnom toku, Građevinski fakultet Niš, 2002. M. Maletin: Planiranje saobraćaja i prostora, Građevinski fakultet Beograd, 2004. M. Maletin: Planiranje i projektovanje saobraćajnica u gradovima, Građevinski fakultet Beograd, 2005. Assessment and grading:





Course title: CONSTRUCTION STATICS 2

GENERAL INFORMATION




Year: 3 Consultations (office hours): Tuesdays 10.00-12.00

Semester: V (summer)

Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars

30 (2 per week) 30 (2 per week) 5 + 5 = 10

COURSE DESCRIPTION

Students are introduced to mostly domestic authors in the field of Construction statics. This basic equations of linear static indeterminate beams, Method of force. Method of deformation. Strain calculation of statically unspecified beams, application of the principle of virtual strain and kinematic methods in the theory of statically indeterminate beams.

Corequisites & prerequisites: Passed exam in Material resistance 1 and 2, Construction statics 1

Course aims & objectives: By the end of the course students should master the methods of calculation of linear statically indeterminate beams due to the effects of a given load.

Teaching methods: Lectures, exercises, graphic works, consultations.


I week (2 lessons)

Basic info about the course: tests, exams, reading list. 1. METHOD OF FORCE 1.1. Static indeterminacy of beams - basic system 1.2 Conditional equation for static indeterminate size 1.3. An alternative method for the derivation of equations 1.4. Choice of basic system 1.5. Solving conditional equation for statically indeterminate size

II week (2 lessons)

1.6. Simplification of the conditional equation 1.6.1. Symmetric carriers 1.6.2. The method of elastic centre of gravity


1.7. Influence lines for static sizes 1.7.1. Static method of construction of influential lines

1.7.2. Kinematic method of construction of influential lines

IV week (2 lessons)

1.8. Calculation of strain of statically indeterminate beams. 1.8.1. Calculation of strain under load 1.8.2. Calculation of strain under the effects of temperature differences, temperature change in the axes of rods and support displacement

V week (2 lessons)

2. METHOD OF DEFORMITY 2.1. Deformity indeterminate of beams 2.2. Terms for the moments on the ends of rods 2.2.1. Terms of moments as a function of deformity of independent size of rods 2.3. Conditional equation for the deformity of indeterminate size

VI week (2 lessons)

2.4. Printing conditional equations 2.5. Rods with a constant cross-section 2.6. Reduction of constants of rods and coefficients of conditional equation 2.7. Calculation of internal forces and the accuracy of solution control 2.8. Example


MIDTERM TEST 1


2.9. Influential lines 2.9.1. Influential lines for deformation of indeterminate size 2.9.2. Example

IX week (2 lessons)

2.10. Symmetric girders 2.10.1. Dismantling of symmetric girders load at symmetrical and asymmetrical part 2.10.2. Static and strain indetermination of half of a girder 2.10.3. Carriers in the axis of symmetry

X week (2 lessons)

3. CONTINUAL SUPPORT 3.1. Conditional equation of continual girder 3.2. Solving conditional equations 3.3. Process with permanent points 3.3.1. Example of application process with constant points 3.4. Influential lines for statically indeterminate size

XI week (2 lessons)

3.5. Construction of influential lines using the kinematic methods 3.5.1. Examples 3.6. influential lines for reactions and forces in sections 3.7. Continual girders on columns


4. ARCH 4.1. Two-hinged arch 4.1.1 Impact of the permanent load 4.1.2. Influential lines for statically indeterminate size 4.2. Keyed arch supports 4.2.1. Influential lines for statically indeterminate size


5. ACCURATE DEFORMATION METHOD 5.1. Relations between forces and moments of cross-section and deformation and temperature element of rods 5.2. Relations between the static vector of independent forces and vectors of deformation size of rods 5.2.1. Both side rigidly bound rods 5.2.2. One side rigidly attached rods ig 5.2.3. One side rigidly attached rods gk 5.2.4. Free rods gh


5.3. The relations between the forces and momentum and displacements and rotations of rod ends 5.3.1. Both sides rigidly bound rods 5.3.2. One side rigidly bound rods, type gk 5.4. The solution of tasks using the method of deformation

Ending week (2 lessons)

Preparations for the exam

Student’s obligations: The Seminar Program


The works and the principal of their creation During the seminars (exercises), with about 50% of all classes planned for self-preparation of papers, students are obliged, under the assistant’s supervision, to complete the following tasks: TASK 1 For the given statistically indefinite girder and load, calculate and draw the static diagrams M, T and N. The task should be done by the force method. Time provided for the task is 4 hours. TASK 2 For a given full statically indefinite girder where: - loads, temperature changes, the temperature difference and the displacement of support, determine: the vertical displacement component of a given section, the horizontal component of the displacement the given support, rotation of a given cross-section, rotation angle of the given rod, the angle change between the given lines and change of angle between given cross-sections. Time provided for the task is 6 hours. TASK 3 For a given statically indefinite girder and load, determine and draw static diagrams M, T and N. The task should be solved by the approximate method of deformation. Time provided for the task is 4 hours. TASK 4 Using the static and kinematic methods, determine and draw the influential lines for the given full statically indefinite girder. The time provided for the task is 4 hours.

Reading list: M. ĐURIĆ, STATIKA KONSTRUKCIJA, Beograd, 1990. B. Popović, M. Milićević, STATIKA KONSTRUKCIJA 1, Niš, 2002. G. Radivojević. S.Ranković STATIKA KONSTRUKCIJA, Beograd, 1986. M.ĐURIĆ i D. NIKOLIĆ, Statika konstrukcija – Uticaj pokretnog opterećenja, N.K., Beograd 1983. B. EMRA , Autor. predav. Šk.1990/91 god. na Građ. – Arh. Fak. Univ. u Prištini iz STATIKE KONSTRUKCIJA Assessment and grading:





Course title: TECHNOLOGY OF CONCRETE

GENERAL INFORMATION



Teaching assistant: Milivoje Milanović, M. A.

Year: 3 Consultations (office hours): Once a week


Programme of study:


ECTS credits: 4

TIMETABLE

Lectures Seminars

30 (2 per week) 15 (1 per week) 5 + 5 = 10

COURSE DESCRIPTION

Students are introduced to the basic methods of obtaining of concrete, its most important properties, application procedures, test methods, application of concrete, etc.


Course aims & objectives: By the end of the course students should acquire knowledge about the specifics of component materials, properties and methods of testing of fresh and hardened concrete, composition design, and traditional and modern technologies of concrete production and execution of concrete works.

Teaching methods: Lectures, seminars (exercises), term papers, midterm tests, and the final exam.

Course content:

I week Introduction: the course program, term papers, midterm tests, exams, reading list, etc. Basics about concrete, its composition, classification, history, etc.

II week Aggregate, cement, water. The hydration of cement. Aluminate phase, silicate phase. The degree of hydration. The fineness of the grind, mineralogical composition.

III week Chemical additives. Plasticisers, superplasticisers, aerates, additives for regulation of time of concrete setting, antifreeze, etc.

IV week

Fresh concrete. Structure of the fresh concrete, consistency, consistency types, methods of concrete binding, methods of propagation, compaction, technological properties, homogeneity, compatibility. The content of entrained air. Start and end binding. Rheology of fresh concrete.

V week Production, transport and placing of concrete. Production of concrete on the construction site, concrete production on the concrete plants, methods

and duration of transport of concrete, auto-pumps for concrete vibrators. Placing of concrete. Concreting of columns, beams, slabs. Vibrating. The intensity of vibration. Types of vibrators. The effect of the vibrator. Radius of effects. Vibro desk. Concrete care.

VI week

Hardened concrete, properties of hardened concrete. Macro and microstructure of hardened concrete. Physical and mechanical properties; strength of concrete at compression, strength of concrete in tension, shear strength of concrete. Brand of concrete.

VII week Deformation of concrete in the short-term loads -Working diagram of concrete (σ-ε), modulus of elasticity and Poisson’s ratio. Midterm test 1

VIII week Special properties of concrete. Waterproofing, abrasion resistance, resistance to cold, salt, chemicals.

IX week Deformation of concrete dependent on the weather; collection, flow and stress relaxation.

X week Calculation of concrete composition of required properties.

XI week Formwork. Types of formworks. Formworks of wood steel, aluminium, rubber. Typical formwork. Sliding formwork. Special formwork. Adhesion and cohesion. Pressure of fresh concrete on the formwork.

XII week Concrete works in extreme conditions. Heating and cooling components of concrete. Cooling concrete calculations.

XIII week Durability of concrete structures. Causes of disintegration of the structure. The properties that affect durability. Restoration and protection of structures.

XIV week Methods of subsequent testing of concrete. XV week Term papers and graphic works, preparations for the final exam.

Student’s obligations: Lectures and exercises are compulsory (students may be absent max. 3 weeks). Students do home works (tests), take midterm tests, and the final exam.

Reading list: Grdić, Z., Tehnologija betona, Građevinsko-Arhitektonski fakultet, Niš, 2011. Muravljov, M., Osnovi teorije i tehnologije betona, Gradjevinski fakultet, Beograd, 2008. Muravljov, M., Tehnologija betona – zbirka rešenih zadataka, Gradjevinski fakultet, Beograd, 2003. Assessment and grading:





Course title: THEORY OF ELASTICITY

GENERAL INFORMATION



Teaching assistant:


Tuesdays and Wednesdays, 11.00-13.00

Semester: V (winter) Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars

30 (2 per week) 15 (1 per week) 5 + 5 = 10

COURSE DESCRIPTION The theory of elasticity, as a branch of mathematical physics and Strength of materials, students should extend the knowledge of the continuation of Strength of materials 1 and 2, introduction to mathematical infinitesimal calculation, which enable the successful analysis in the field of Continuum Mechanics. At the broadest level, it is the general mechanics of continuous environment, which includes both the mechanics of solids and fluid bodies, within which some special scientific and technical disciplines develop such as the Theory of plasticity, Theory of viscoelasticity, etc. dealing with problems related to finding a link between stress and strain out of the elasticity limits. In recent times, these considerations extend to a wide area of different categories, so called Ideal bodies, that are broad enough to approximate the behaviour of real materials, but simple enough for mathematical processing. These studies form a special scientific discipline - rheology. As a part of this course some of these problems will be included for information purposes only.

Corequisites & prerequisites: Strength of materials 1

Course aims & objectives: By the end of the course students should know that the real bodies are deformable, so it is necessary to find a link between external forces, body shape and type of material on the one hand, and the stress and deformation of the body, on the other. Thus, the science that deals with finding these laws is called the Theory of elasticity.

Teaching methods: Lectures, seminars (exercises), term papers, and consultations.


I week (2 lessons)

Information about the course: tests, exams, literature Introduction Spatial stress state. The main stresses and invariants of stress. Mohr's circles for spatial stress condition.

II week (2 lessons)

The main shear stresses in the spatial state of stress. Ellipsoid of stress. Directrix and stress surface. Octahedral planes and octahedral stress level. Decomposition of the stress tensor in spherical and deviatoric part.


Relations between stress and external forces. Surface conditions. The equations of balance.

IV week (2 lessons)

Analysis of deformation. The concept of deformation. Strain in points. Dilatation and skating. Condition deformations about the point. Connections between componential displacements and deformations.

V week (2 lessons)

Strain tensor. The main expansion joints. Invariants of strain. The presentation of geometric stress in the point.

VI week (2 lessons)

Decomposition of the strain tensor in spherical and deviator part. Finding shifts according to the specified componential deformations. Conditions of deformation superposition.


Deformation work. General theorems. The work of external forces. Deformation work. Deformation work expressed by internal forces.


Energy of form changes and energy of volume changes. Betti Maxwell's theorem. Castigliano’s theorem. Determination of strain using Castigliano’s theorem.

IX week (2 lessons)

Solving the problem of statically indeterminate methods of deformation work. Principles of minimum energy in variation of strain - principle of virtual strain for elastic body.

X week (2 lessons)

Basics of dimensioning. Setting the objectives. Dimensioning under static load. Limited strain and levels of security in a linear stress condition. Hypotheses about the collapse.

XI week (2 lessons)

Sizing in spatial stress condition. Comparative strains. Sizing in homogeneous and inhomogeneous stress state. Effects of notches.


Sizing in variable load. Types of variable loads. The dynamic strength of the material. Methods of dimensioning for dynamic loads.


Introduction to the theory of thin-walled open profile bars. Basic assumptions. Deformation of rods. Stresses, intersecting forces and equilibrium conditions.


Relations between the cross-cutting forces and deformations. The normal stresses, Shear strain. Differential equations of rods. Bending and torsion. The load influence on the axis of the rod. The load works in the direction of the axis of the rod. The sector coordinates and shear centre.

XV week Preparations for the final exam. Student’s obligations:

Seminar program According to the curriculum the seminar classes is left out. However, during the lectures students are given two term papers in order to master the chapters.

Seminars and a way of making work During the semester students are given two term papers. They should individually, with consultations with the lecturer, defend the papers. Reading list: Dr sc. Vlatko BRČIĆ,: OTPORNOST MATERIJALA, Građev. knjiga, Beograd, 1989. Dr sc. RAŠKOVIĆ D.: OTPORNOST MATERIJALA, Naučna knjiga, Beograd, 1990. Dr sc. Šerif Dunjica, OTPORNOST MATERIJALA, Naučna knjiga, Beograd.2004. Dr sc. Zlatko Kostrenćić. Teorija elastičnosti, Građ. Fak. Zagreb, 1981. Dr sc. H. Hrnić.: OTPORNOST MATERIJALA, Arhitektonski fakultet Sarajevo 2012.





Course title: THEORY OF SURFACE GIRDERS

GENERAL INFORMATION

Year of study: - Lecturer: Dragoslav Šumarac, professor


Teaching assistant:


Tuesdays and Wednesdays, 11.00-13.00


Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars

30 (2 per week) 15 (1 per week) 5 + 5 = 10

COURSE DESCRIPTION The theory of surface girders, as a course, should enable student to master the mathematical apparatus and methods of calculation of surface girders with a special emphasis on slabs stressed by bending, and on slabs stressed in its level. Circular slabs and circular slabs under the rotationally symmetrical loads make a special chapter. Shells as a surface girders are studied in the second part of the course as a membrane theory of shells as a special case of rotationally symmetrical shell. Cylindrical shells belong to a special chapter. At the end of the course there are given numerical calculation methods with an emphasis on the application of the finite element method.

Corequisites & prerequisites: Construction statistics 1

Course aims & objectives: By the end of the course students should master the methods of surface girder calculation, namely slab and shell calculations. By mastering this course, students are trained to apply the knowledge to the sizing of these structures as taught in concrete and steel constructions.

Teaching methods: Lectures, seminars (exercises), home works, partial test and the final exam. Consultations.


I week

Information about the course: tests, exams, literature Slabs: definition, classification (membranes, flexion, thin, thick slabs) Mathematical models 1. Membrane (Fon-Karman's model) 2. Thin slabs (Kirchhoff model) 3. Thick slab (Mindlin-Reisner’s shell model) The theory of bending of thin slabs: The forces at the intersection - definition, bending condition, condition of flat bending The slabs stressed by bending: Assumptions, the link between the displacement and deformation

II week Definition of force in the section: bending moments, torsion moments, transverse forces

Terms of the slab element equilibrium: the two conditions under bending moments and third criteria is the summation of forces in the vertical direction Differential equations of bending the slab.

III week

Border (conture) conditions: By the powers - static conditions, by displacement - geometrical conditions and mixed ones Kirchhoff boundary conditions to the contour (concentrated force at the jump load moments). Geometric conditions of examples freely supported, fixed end slab. Mixed border conditions are usually given by displacements and moments. Determination of the stress of the slab.

IV week

Circular slabs: Polar coordinate system, Determining the link between displacements and deformations. Definition of force in the section: bending momentum, torsion momentum and transverse forces Differential equations of slab bending in polar coordinates.

V week

A circular slab for rotationally symmetric load: Homogeneous, particulate and General solution. Numerical solutions of equations of slab bending: Differential procedure, the Tape method, Marcus procedure

VI week

The slabs stressed in their levels: assumptions, definition of force in the section - normal and shear. Terms of slab element balance: Three conditions of the force equilibrium in the slab level can be reduced to one differential equation of the fourth order by the introduction of stress functions and potential functions of load. reduced to a single differential equation of the fourth order.


VIII week Border conditions: The conditions at border forces. Example of calculation of a slab stressed in its level. Displacements points of a slab stressed in its level.

IX week

Rotationally symmetrically loaded circular slab stressed in its level. Plane strain: assumptions at plane strain (no displacement perpendicular to the plane of the slab). Differential equations of the slab in the case of plane strain.

X week

Shell: geometric meaning, the average surface of the shell. The division of shells into thin and thick, according to the generation of the rotational and translational, according to the Gaussian curvature measured on an elliptical, hyperbolic and parabolic. Average surface of the shell: the main gridlines

XI week

The forces at the intersection: normal, shear, momentum of bending and transversal forces. Momentumless (membrane) theory of rotational shells: assumptions, changing load, border conditions only cause the membrane stress state. Terms shell element equilibrium: the forces in the direction of the tangent to the circle, the forces in the direction of the tangent to the meridian and the forces in the direction of the normal.

XII week Rotationally symmetrical load of the shell: the simplification of three general equilibrium condition of the shell. Rotationally symmetrical deformation of shells.

XIII week Momentumless (membrane) theory of cylindrical shells. Definition of the force in cross-section, two normal and one shear. Deformation of the medium surface of the cylindrical shell.

XIV week The long cylindrical shell. The application of the Finite element analysis of shells.

XV week The final exam.

Student’s obligations: Lectures and exercises are compulsory. Students do home works (tests), take midterm tests, partial test, and the final exam.

Reading list: N. Hajdin: Teorija konstrukcija II, Prvi deo-Ploče, Drugi deo-Ljuske, Građevinski fakultet Beograd, 1975. S. Timošenko, S. Vojnovski-Kriger: Teorija ploča i ljuski, Građevinska knjiga-Beograd, 1962 (prevod: Jakov Hlitčijev). Assessment and grading:



Teacher who provided the information: Dragoslav Šumarac, professor


Course title: WALL CONSTRUCTIONS

GENERAL INFORMATION



Teaching assistant: Milivoje Milanović, M.A.


Tuesdays and Friadays, 11.00-12.00

Semester: VII (winter)

Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars

30 (2 per week) 0

COURSE DESCRIPTION

This course enables students to acquire knowledge about the principles of design of masonry structures of buildings, the transfer of loads (actions), the basics of the calculation and construction, strengthening and rehabilitation of damaged masonry structures and possibilities of application of masonry structures in structural engineering.

Corequisites & prerequisites: Passed exam in Construction materials, Material resistance 2

Course aims & objectives: By the end of the course students should master: knowledge of material for masonry structure, knowledge and application of principles and calculation methods and dimensioning of masonry structures, conceptual design, detail design and masonry cross-section/elements and structures. Also, the goal of the course is the calculation in the context of strengthening and rehabilitation of damaged masonry buildings and their maintenance. By mastering the material from this course, students are trained to apply the knowledge on sizing, strengthening and maintenance of these structures. Pre-exam obligations: Numerical exercises, calculations, midterm test and term paper. Teaching methods: Lectures. Auditory, numerical (calculation) and computational exercises. Consultations. Revision by numerical/computational exercises, tests and term papers. The exam consists of written and oral test. In the written part of the test, students get calculation tasks in the given area of the course. The theoretical part is taken at the oral part of the exam. Course content: Preparation week: Preparations. Semester enrolment.

I week Information about the course: tests, exams, literature Review of the historical development of masonry structures and technical regulations for their implementation.

II week Masonry materials, elements and plaster. Types of masonry, plain, framed ring beams, reinforced, pre-strained.

III week Masonry and load. Basics for design of masonry buildings

IV week Calculation of plain, unreinforced masonry. Design principles, rules and regulations.

V week Calculation of framed masonry. Design principles, rules and regulations.

VI week Calculation of reinforced masonry. Design principles, rules and regulations.


VIII week Principles of aseismic design of masonry buildings 1. Rules, regulations, etc.

IX week Principles of aseismic design of masonry buildings 2. Rules, regulations, etc.

X week Calculations of cross-sections of masonry elements. Allowable stress design.

XI week Calculation of cross-sections of masonry elements. The theory of section critical load. Deformation of masonry elements and structures.

XII week Repairs and reinforcement of masonry elements and structures. Types of damages of masonry structures. Repairs and reinforcement of foundation structures of masonry buildings.

XIII week The analysis, repairs and reinforcement and strengthening of building structures damaged by earthquakes.

XIV week Moisture and moisture impact on masonry construction. Repairs and protection of masonry from moisture.

XV week Midterm test 2

Student’s obligations: Lectures and exercises are compulsory. Students do a term paper, take two midterm tests, and the final exam.

Reading list: Mihailo Muravljov, Boško Stevanović: ZIDANE I DRVENE KONSTRUK-CIJE, Građevinski fakultet Univerziteta u Beogradu, 1999. Grupa autora: ZEMLjOTRESNO INŽENjERSTVO, Građevinska knjiga, Beograd, 1990. Pravilnik o tehničkim normativima za zidane zidove, 1991. Evrokod 6 - EN 1996-1 Projektovanje zidanih konstrukcija Pravilnik o tehničkim normativima za izgradnju objekata visokogradnje u seizmičkim područjima, 1981. Evrokod 8 - EN 1998-1 Projektovanje konstrukcija otpornih na seizmička dejstva Tehnički propisi i standardi za opterećenja Assessment and grading:





Course title: CONCRETE BRIDGES

GENERAL INFORMATION



Teaching assistant: Milivoje Milanović


Semester: VIII (summer)

Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Introduction to the concept and principles of design, methods of implementation, maintenance, and relevant technical regulations, concrete bridges of different static systems and dispositions.

Corequisites & prerequisites: Concrete constructions 2

Course aims & objectives: By the end of the course students should acquire knowledge in the field of analysis, calculations, construction and maintenance of concrete bridges and thereby be ready for designing bridge structure.

Teaching methods: Lectures, exercises, semester work, term papers, written and oral exam; consultations.

Course content:

I week Introduction and notes on the course; History and examples of designed bridges over the centuries of human history until today; Bridges as part of roads

II week

General information: definitions, types of bridges, parts of the bridge, the terminology related to bridges, bridges, equipment, materials for bridges (basic and combined-coupled), the classification of bridges, static systems, bridges, basic requirements for bridges

III week

Traffic conditions and effects on bridges; Free profiles for bridges (roads for pedestrians, for railway, waterway and navigation); The roadway of the bridge; Bridge load: national and European standards; The basic, additional and special effects on bridges; Net weight, traffic load, schemes of traffic loads, loads of pedestrians; train loads; The effect of the wind; Additional loads; The impact of the earthquake

IV week Support structures for bridges; The arches and vaults, different static systems, arches connected with beams; Beam bridges: simple beams,

continual beams, Gerber beams, cantilever beams; Supporters and framework bridges; Framework bridges; Hung bridge constructions; Cable-stayed bridges; Suspension bridges

V week Elements of bridges; Bases for design of bridges; Project tasks; Design of the bridge; Free profiles; The situation of a bridge in the base and in the section

VI week

The undercarriage of bridges; Designing columns: types and cross-sections of pillars, pillars constructive solutions, designing abutments; Suspension of span structure; Transitional design; Calculation of the bridge undercarriage, the choice of suspension, supports of bridges, bearings; Loads abutments; Construction of the foundation pillars; Construction of abutments

VII week

Bridge equipment: materials of traffic areas, pedestrian paths, pedestrian railings (steel and concrete), and devices for crossing, lighting, drainage and waterproofing, special equipment, lighting of bridges; Barriers, steel, deformable, special purpose

VIII week The choice of the bridge support structure; Slab bridges, calculation of slabs, isotropic and orthotropic slabs, sizing slabs, pre-stressed solid slabs, hollow slabs

IX week

Ribbed concrete bridges, usual sections, pre-stressed ribbed bridges, static analysis, calculation of driving decks, Pucher’s diagrams and tables for calculation, continuous bridge deck; Pre-stressing ribbed bridges; Construction of ribbed bridges

X week

Concrete box bridges: general advantages compared to other cross sections, longitudinal distribution and static system, beam girders and frameworks; Design of cross-section; Design of concrete box bridges; Construction of concrete box bridges, mounting console construction; Pre-stressing of concrete box bridges; Longitudinal suppression; Reinforcement of the upper part and the deck; The transverse stiffeners and diaphragms

XI week

Framework bridges and supporters, the effects of the frame and static system, calculation and reinforcement, the bond of beams and columns, concrete joint; Bridges of supported system, guidelines for the design and creation, struts supporters; Examples of designed support system of bridges; Performance and conclusions; Overpasses

XII week Integral bridges: definition and characteristics, history and characteristics; The concept of integral bridges; forms of pillars

XIII week

Arch bridges: introductory remarks and basic properties; The history and development of arch bridges; The methods of construction; Principles of arch bridges design; Wedged arches, elastic wedged arches, two-hinged and three-hinged arches; The optimal shape of the arch axis; The analogy of arc and ports, cross-sections of catenary arches; works on the scaffold, console construction, arches made by the rotation of half of the arch; Calculation and reinforcement of arched bridges, the line of pressure, checking the stability of arch, the arch bridge modelling by FEM

XIV week

Suspended bridges (cable-stayed bridges): introductory remarks, different dispositions, bridges with more than two pylons, historical development; Designing the span structure, pylons and tie beams; Anchoring cables in the pylon; Bearings and expansion joints; Calculation and modelling of the system; Preliminary calculation; Dynamic analysis of the wind; Construction of suspended bridges; Review of existing cable-stayed bridges

XV week

Suspension bridges: structural elements, division of suspension bridges, construction details, hangers, pylons, anchor blocks, stiffening beams; Calculation of suspension bridges, aerodynamic stability; Historical development of suspension bridges, modern suspension bridges

Student’s obligations: Lectures and exercises are compulsory. Students do the semester work and take two midterm tests, as well as the written and oral exam.

Reading list: M. Trojanović: Betonski mostovi (četiri knjige), Građevinska knjiga, Beograd, 1970 K. Tonković: Masivno mostovi, Đkolska knjiga, Zagreb, 1977 K. Tonković: Mostovi, SNL, Zagreb, 1981 J. Radić: Mostovi, Dom Svijet, Zagreb, 2002 S. Šram: Gradnja mostova, Golden marketing, Zagreb, 2002 Evrokodovi EC1, EC2, EC3, EC4 M. Milanović: Betonski mostovi, predavanja, www.np.ac.rs Assessment and grading:



Teacher who provided the information:

Stanko Brčić, professor Milivoje Milanović

STATE UNIVERSITY OF NOVI PAZAR Course title: DIAGNOSIS OF THE SITUATION AND CONSTRUCTION

RESTORATION GENERAL INFORMATION

Year of study: - Lecturer: Dragoljub Drenić, professor




Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars

30 (2 per week) 0

COURSE DESCRIPTION

This course represents the integration of knowledge acquired in other courses of engineering graduate degrees, as well as additional training for the purpose of independent analysis of existing buildings and design of their rehabilitation (repairs, renovation and/or strengthening)

Corequisites & prerequisites: Metal constructions, Wooden constructions, Concrete constructions, Finite element method in civil engineering Course aims & objectives: By the end of the course students should be able: to link a specific mechanism of concrete degradation with the principle and the method of repairs of reinforced concrete structures; To distinguish and compare different materials and systems for the repair and strengthening of reinforced concrete structures; To prescribe the necessary properties of materials and systems, quality control methods, during and after the construction, repair and strengthening of reinforced concrete structures; To analyse and compare different methods of repairs of structures in terms of functionality and durability, as well as the ecological and economic viability during exploitation; To recommend and prescribe the optimum principle and method of repairs depending on the cause of premature deterioration of the construction; To individually design a project of repairs of the construction which includes: assessment of the structure conditions, a proposed method of the repair and strengthening, materials for the repair and control methods during and after the construction. Pre-exam activities: The numerical and computational exercises, midterm tests and term papers. Teaching methods: Lectures. Auditory, numerical and project exercises and preparation of the assigned work. Consultations. Knowledge assessment through the midterm test and term papers. The final exam consists of written and oral tests. The theoretical part is taken at the oral part of the exam. Course content:

I week Introduction. The process of material destruction. Causes of the damage. II week Diagnosis of the damaged structures. III week The principles and methods of performing repairs of AB structures.

IV week Materials for the repairs of RC structures. V week Methods for the reinforcement of structures. VI week MIDTERM TEST 1 VII week Special technologies for the repairs. VIII week The methodology for estimation of optimal solutions for the repairs.

IX week Proving the usability of a material for the repair and the quality of work control.

X week Basic principles of the monitoring and maintenance of repaired structures. XI week Repairing historic buildings. XII week Regulations and standards for repairs and maintenance of facilities. XIII week Midterm test 2

XIV week Final presentation of the term papers with the discussion, and oral knowledge testing.

XV week End of semester, grading.

Student’s obligations: Lectures and exercises are compulsory. Students do the semester work and take two midterm tests, as well as the final exam.

Reading list: Allen, R. T. L.; Edwards, S. C.: Repair of Concrete Structures, Blackie & Son Limited, 1987 Emmons, P. H.: Concrete Repair and Maintenance Illustrated, Construction Publishers & Consultants, 1993. Concrete Repair Manual, ICRI & ACI International, 1999.Perkins, P. H.: Repair, Protection and Waterproofing of Concrete Structures, E&FN Spon, London, 1997. Repair of Concrete Structures to EN 1504, Danish Standards Association, 2004. fib Report: Management, maintenance and strengthening o concrete structures, Lausanne, 2002. fib Report: Monitoring and safety evaluation of existing concrete structures, Lausanne, 2003. BRITE-EURAM project BE4062 "The service life of reinforced concrete structures". CONTECVET IN30902I. 2001, "A validated users manual for assessing the residual life of concrete structures", DG Enterprise, CEC. DuraCrete (2000) DuraCrete Final Technical Report, Document no. BE95-1347/R17, Gouda, CUR. REHABCON IPS-2000-00063, "Strategy for Maintenance and Rehabilitation in Concrete Structures", DG Enterprise of the European Commission, 2000-2004. DuraCrete (2000) DuraCrete Final Technical Report, Document no. BE95-1347/R17, Gouda, CUR. Assessment and grading:



Teacher who provided the information: Dragoljub Drenić, professor


Course title: DYNAMICS OF CONSTRUCTIONS AND SEISMIC ENGINEERING

GENERAL INFORMATION


Course status: Optional Teaching assistant: Milivoje Milanović, M.A.


Semester: VIII (winter)

Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION The dynamics of constructions with seismic engineering is an area of Theory of constructions dealing with the influence of dynamic loads on structures. The first part of the course students learn the basics required for understanding the problems of structural dynamics and solving problems in structural response to dynamic excitation. The second part, earthquake engineering, explains the impact of earthquakes (earthquakes as a special dynamic excitation) on the behaviour and design of structures.

Corequisites & prerequisites: Passed exam in Construction statics 1 and 2

Course aims & objectives: By the end of the course students should master the behaviour of structures under dynamic loading. This course should enable students for consideration of the dynamic response construction and special earthquake load.

Teaching methods: Lectures, seminars, home works (tests), midterms, partial exam and the final exam. Consultations. Course content: Preparations and semester enrolment.

I week Information about the course: tests, exams, reading list Introduction to the dynamics of structures Determination of dynamic structural model

II week Differential equations of motion for a system with one or more degrees of freedom. Basics.

III week The vibrations of linear systems with one degree of freedom: Free vibration without damping. Free vibrations with damping.

IV week Forced vibrations. The coup in the form of semi-sine wave.

V week Harmonic force. The impact of the pulse. General case of operation of the dynamic forces.

VI week The vibrations of linear systems with more degrees of freedom. Individual shapes and frequencies. Forced vibrations. Determination of the maximum response.


VIII week Systems with damping. Iterative methods for determining of individual shapes and frequencies.

IX week The vibrations of non-linear systems.

X week Finite element method in dynamic analysis of constructions. Basics of calculation. The mass matrix. The damping matrix.

XI week Reaction of constructions on the earthquake impact. About earthquake as a phenomenon. Classification of earthquakes. Intensity register of earthquake ground.

XII week Calculation of the reaction of linear systems with one degree of freedom to earthquakes.

XIII week Calculation of the reaction of linear systems with several degrees of freedom to earthquakes.

XIV week Modal analysis. Determining of seismic forces. Time-historical analysis. XV week The final exam.

Student’s obligations: Lectures and exercises are compulsory. Students do the semester work and take two midterm tests, as well as the final exam.

Reading list: B.Ćorić; S.Ranković; R.Salatić: Dinamika konstrukcija, Građevinski fakultet Beograd, 1998. R.W.Clough; J.Penzien: Dynamics of Structures, McGraw-Hill, New York, 1993. Assessment and grading:





Course title: ECONOMY OF CONSTRUCTIONS

GENERAL INFORMATION

Year of study: - Lecturer: Ljudmila Kudravceva, assistant professor




Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars

30 (2 per week) 0

COURSE DESCRIPTION The theme of the course is the economy of constructions as a sub-field of economic sciences, and its connection with construction. Students learn about the basic concepts concerning the construction project as an investment enterprise. The subject examines the process of the project as a whole, as well as the stages of preparation, design, implementation and exploitation. They study the ways in which the costs generate and classify, and how to gain value of the project, having in mind the interests of the investor, and all other participants in the project. It is also discussed about the benefits that are realised on the project, and how they are brought into relation with other indicators of economic performance. The emphasis is on the stages of preparation and planning, as well as the realisation and exploitation, particularly in terms of the decisions that the project manager brings, and which have a long-term impact on the successful development of the project cycle.


Course aims & objectives: By the end of the course students, as civil engineers, should be able to master the issues of economic and financial aspects of design and construction in accordance with applicable regulations and procedures for the efficient management of investment projects. This is a relatively new field, which has the world verification, especially for large projects. The course shows that the project management may be considered from several aspects: technical, technological, legal, economic. Teaching methods: Auditory lectures with the help of presentation technology. Methodological units are covered by the appropriate descriptive or computational examples and real case studies. Students actively participate in activities in the class. Exercises begin a brief explanation, then students solve their case individually (or collectively). Course content: Preparations and semester enrolment.

I week Introduction. Introduction to the course. The concept and importance of economics of constructions.

II week Construction production. Building market. Investment project. Economics as a science. The division of economics. Studying economics as a subject. The basic principles of economics.

III week Macroeconomics. Money. Market. Microeconomics. The concept of

economics. Resources. IV week The technical documentation needed for the project.

V week Investment costs. Elements of the cost estimation. Price of the object. Value of the building structure. Costs during the life of the facility.

VI week Construction norms. Calculations in the construction industry. Bill of quantities.

VII week Price analyses.

VIII week Production and market value of the building structure. Charge of the works performed. Midterm test 1

IX week Profit on the construction projects. Criteria performance of construction projects.

X week Economics of construction works. XI week Financing projects in the construction industry. Credit transactions. XII week Investments. A business plan. XIII week Tenders. Tender procedures. Public procurement. XIV week Contractual documentation for the construction works.

XV week Review the process of the construction project. Midterm test 2

The final week The final exam.

Student’s obligations: Lectures and exercises are compulsory. Students take two midterm tests and the final exam.

Reading list: Ivković, B. i Arizanović, D. (1990), Organizacija i tehnologija građ. radova Naučna knjiga, Beograd Arizanović, D. (1997), Tehnologija građevinskih radova, Univerzitet u Beogradu Trbojević, B. (1992), Projektovanje organizacije građenja i programiranje izgradnje građevinskih objekata, Građevinska knjiga, Beograd Ivković, B i Popović, Ž. (2005), UpravLjanje projektima u građevinarstvu, Građevinska knjiga, Beograd Krstić, G. (2004), Zakonska regulativa u graditeljstvu, Časopis „Izgradnja“; SGITS, SAS, Beograd Ćirović, G. (2007), Pravna regulativa u građevinarstvu, Visoka građevinsko-geodetska škola u Beogradu, Beograd Assessment and grading:



Teacher who provided the information: Ljudmila Kudravceva, professor


Course title: GEOTECHNICAL ENGINEERING

GENERAL INFORMATION





Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars

30 (2 per week) 0

COURSE DESCRIPTION The course deals with specific issues of design and construction of surface geotechnical work on the construction of various buildings. Geotechnical works relate to the execution of special geotechnical interventions and constructions underground, on the ground or above the ground. They are made in order to ensure mechanical resistance and stability, and allowable deformation of objects in conjunction with the foundation soil, as well as the protection of other facilities, public land, property and life from the adverse effects of soil and water. Corequisites & prerequisites: Passed exam in Traffic lines 1 and 2, Hydrology, Hydrotechnical constructions, Mechanics of soil, Underground constructions Course aims & objectives: By the end of the course students should acquire knowledge in the field of geo-technical works and construction. The knowledge refers to the technical characteristics of geotechnical procedures and structures. They must be like that - in their life time with proper construction and maintenance, objects must endure all influences during the use and environmental impact. Geotechnical procedures and structures during the construction and use should prevent: the demolition of a facility or its part, deformation, damage to the building's structure or equipment due to deformation of the construction in conjunction with the ground, as well as the disproportionately large damage to the facility or its part relative to the cause for which they appeared. Technical characteristics of geotechnical and construction procedures must be such that, in addition to meeting the requirements of the applicable national standards, they meet the requirements of specific regulations governing the fulfilment of other essential requirements for the facility. Pre-exam activities: Numerical/computational exercises, midterm tests and term papers. Teaching methods: Lectures. Auditory, numerical/design exercises and preparation of assigned work. Knowledge assessment through midterm tests and term paper. The exam consists of written and oral work. The theoretical part is taken at the oral part of the exam. Course content: Preparations and semester enrolment.

I week Introduction. Definitions. Geotechnical research.

II week Design of geotechnical works and construction. Materials and products used in geotechnics.

III week Performing geotechnical works and construction. The use and

maintenance. Further demonstration of the material properties and structures.

IV week The foundation works. Shallow foundations. V week The foundation works. Deep foundations. VI week Works for soil improvement. VII week Midterm test 1 VIII week Works on construction of retaining structures. Basics. IX week Types of retaining structures. Performing individual supporting structures. X week Works on the construction pits protection. XI week Works on construction of earth dams. XII week Works on the construction of hydro-technical embankments.

XIII week Geotechnical works in civil engineering construction. Standards and technical regulations for geotechnical works.

XIV week Midterm test 2

The final week The final presentations of the term papers and the discussion and oral assessment of acquired knowledge. End of the semester.

Student’s obligations: Lectures and exercises are compulsory. Students do a term paper, take two midterm tests and the final exam.

Reading list: Nonveiller, E. (1979). “Mehanika tla”. Naučna knjiga, Beograd. 2Maksimović,: Mehanika tla. Obradović R., Najdanović N. : Mehanika tla u inženjerskoj praksi, Zlatović S. : Uvod u mehaniku tla. Stevanović S. : Fundiranje 1, Vujačić Č. : Fundiranje 1 i 2. Grupa autora : Složeno fundiranje – Stabilnost kosina i drenaže. Mitrović Petar. : Duboko fundiranje potpornih konstrukcija. Bonacci : Potporne građevine i građevne jame. Ćorić Slobodan : Geostatički proračun. Lukić Dragan, Anagnosti Petar : Geotehnika saobraćajnica. Joksić Zdravko : Donji stroj saobraćajnica. Assessment and grading:





Course title: HYDROTECHNICAL CONSTRUCTIONS

GENERAL INFORMATION






Programme of study:


ECTS credits: 5

TIMETABLE

Lectures Seminars

30 (2 per week) 0

COURSE DESCRIPTION The introductory part deals with the conceptual properties and the division of hydrotechnical structures. It also deals with: the basic elements of dams as the most complex hydro-technical constructions; the construction and formation of accumulation, the design, hydrologic analysis of hydraulic calculations. The following topics are taken into consideration: hydro-technical construction documentation, substrate and material for construction, analysis of load and net weight. In the second part the following topics are treated: buoyancy, effects of waves, ice, sediment and soil, as well as the impact of temperature and seismic impact. Also, this part of the course deals with the security against tipping over and resurfacing, and the classification of dams.


Course aims & objectives: By the end of the course students are introduced to the problem of hydraulic structures in order to gain insight into their properties and prepare them for their design.

Teaching methods: Lectures, seminars, term papers, midterm tests and the final exam.

Course content: Preparations and semester enrolment.

I week Definitions, types and properties of hydraulic structures.

II week Dams - the most complex hydro-technical structures, basic concepts and elements, construction and formation of reservoirs, design, hydrological analysis and hydraulic calculations.

III week The documentation for hydro constructions. IV week Substrates and materials for the construction of hydraulic structures. V week Analysis of load and net weight. VI week Hydrostatic and dynamic pressure. VII week The buoyancy. VIII week Waves and ice impact. IX week Sediment and soil impact, and the influence of temperature.

X week Seismic impact - data for the calculation, the seismic norms, approximate calculation methods.

XI week Seismic impact - more precise calculation methods. XII week Anti-tip security, security against resurfacing, stress and definitions.

XIII week Division of dams – according to its purpose, according to the taking of high water, according to the installed materials.

XIV week The division of dams according to the transfer of loads.

The final week The division of dams compared to the dam height, dam type selection and construction of the dam.

Student’s obligations: Lectures and exercises are compulsory. Students do home works, term papers, take midterm tests and the final exam.

Reading list: Petrović S.P. (1992) Hidrotehničke konstrukcije, I deo, “Nauka“, Građevinski fakultet u Beogradu, drugo dopunjeno izdanje (1997) : Građevinski fakultet u Beogradu. Petrović S.P. (2002) “Hidrotehničke konstrukcije II deo“, Građevinski fakultet u Beogradu. Petrović S.P., Kuzmanović V.M. (2009) Hidrotehničke konstrukcije – primeri i primena VI ( sa teorijom), II izdanje, Građevinski fakultet u Beogradu. Assessment and grading:





Course title: CONSTRUCTION EXAMINATION

GENERAL INFORMATION

Year of study: - Lecturer: Dragoljub Drenić, professor





Programme of study:


ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

The problem of the course is designed to familiarise students with modern methods of testing building of architectural structures, including individual work through laboratory exercises.

Corequisites & prerequisites: Passed exam in Concrete bridges and Concrete constructions

Course aims & objectives: By the end of the course students get familiar to the ultimate objective of the course, which is the analysis of experimental results and comparison with calculated values for complex objects.

Teaching methods: Lectures and laboratory exercises are compulsory.

Course content: Preparations and semester enrolment.

I week Introduction to the regulations in the field of construction experimental testing.

II week Historical development of construction experimental testing. III week Moro circuits for spatial and real stress state, analytical expressions. IV week Mechanical measuring instruments for dilatation, deflection and slope.

V week Bio-Savart law and the frequency measurement of wire with Lissajous figures.

VI week The model-based analysis, planning and prediction equation.

VII week The instruments operating on the basis of changes in resistance of electric current.

VIII week Electrical resistance strain gauges, introduction to the zero and direct method for measuring static and dynamic testing.

IX week Stress-optical analysis, Wertheim law Vertemov, I and II. X week Application of photo-elastic and brittle paint on real objects. XI week Testing structures to dynamic loading, introduction to the program

Catman and Spyder 8.

XII week Transient vibrations on real objects and measurement of individual frequencies and periods of oscillation.

XIII week Inertia and vibration method for testing objects in ambient environmental conditions.

XIV week The application of active systems, with the aim to prevent adverse effects caused by incidental loads (earthquakes, floods, fires, etc.).

The final week The final exam, laboratory exercises.

Student’s obligations: Lectures and laboratory exercises are compulsory.

Reading list: D. Drenić: Ispitivanje konstrukcija, ISBN 86-80295-05-1, Univerzitet u Nišu, 1993. D. Drenić: Zbirka zadataka iz ispitivanja konstrukcija, Univerzitet u Nišu, 1979. Autorizovane laboratorijske vežbe Assessment and grading:



Teacher who provided the information: Dragoljub Drenić, professor


Course title: METAL CONSTRUCTIONS 1

GENERAL INFORMATION

Year of study: - Lecturer: Bratislav Stipanić, professor





Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Students learn about the basic elements of steel constructions of industrial halls and buildings. Through lectures students are exposed to the principles of calculation of all elements of support structure, spatial stability of the structures, principles that guide the designer in the selection of the base material, the application of acquired knowledge in Metal constructions 1 and the other related objects and areas. Special emphasis is placed on making the general disposition of the bridge. Corequisites & prerequisites: Passed exam in Metal constructions 1, Construction statics 2 and courses related to Metal constructions 1.

Course aims & objectives: The end result of this course is that students acquire the necessary skills to independently design, deliver, maintain and repair the steel structure (single-storey industrial halls and multi-story buildings of steel).

Teaching methods: Lectures, seminars (exercises), annual work, term papers, midterm test and the final exam. Consultations. Course content: Preparation week: Preparations. Semester enrolment.

I week

Information about the course: tests, exams, reading list. Introduction: Application of metal structures in buildings. The basic principles of industrial halls and storey buildings.

II week The general disposition of industrial halls: production, content of general disposition.

III week Loads: classification, reference standards that define the intensity of certain types of loads.

IV week Panelling the hall: roofing and facade cladding (classic and modern). V week Purlin: types of Purlin, structural design, static systems. VI week The stability of halls: bracings and environments. VII week Internal transport: crane paths, and other systems of internal transport. VIII week The structural design of the main beams: roof trusses, supporters, truss

footing. IX week Pre-assembly and assembly.

X week Entering concentrated forces in the supporter: the calculation of bearing with or without reservoir stiffening plates.

XI week

Semi rigid connections of the sheeting rail and the column: calculation of the forces for the dimensioning of the support in the zone of bonds of the sheeting rail and the column with a polygonal or continuous haunch. Types of connections of sheeting rail and the column with or without a front plate.

XII week The lighting of the hall: natural and artificial lighting of the hall, heating and ventilation.

XIII week Spatial strength of the hall: the elements necessary for the provision of spatial rigidity of the hall.

XIV week EUROCODE 3: Selected chapters of metal structures according to the EUROCODE 3.


Student’s obligations: Lectures and exercises are compulsory. Students do home works (tests), take midterm tests, and the final exam.

Reading list: D. Buđevac: Čelične konstrukcije zgrada, Građevinska knjiga, Beograd, 1996. M. Debeljković: Čelične konstrukcije u inžinjerskim objektima, Građevinska knjiga, Beograd, 1995. Neautorizovana predavanja Assessment and grading:





Course title: METAL BRIDGES

GENERAL INFORMATION

Year of study: - Lecturer: Bratislav Stipanić, professor





Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Students learn the basics of bridge building and acquire basic knowledge in the field of steel bridges. Students are introduced to the basic elements of road and rail bridges, with a brief overview of the other types of bridges, such as: pedestrians, industrial, mobile, etc. Modern structural systems that are used in bridge construction are also considered, such as bridges and bridges coupled system orthotropic plate. Special emphasis is placed on making the general disposition of the bridge. Corequisites & prerequisites: Passed exam in Metal constructions 1, Construction statics 1 and 2, and courses related to Metal constructions 1.

Course aims & objectives: By the end of the course students should acquire the necessary skills to independently design, construct, maintain and repair the steel bridges.

Teaching methods: Lectures, seminars (exercises), annual work, term papers, midterm test and the final exam. Consultations. Course content: Preparation week: Preparations. Semester enrolment.

I week

Information about the course: tests, exams, reading list. Introduction to metal bridges: historical overview of the development of metal bridges, general definition, classification, components, disposition.

II week The position of the bridge: the finished road level of a bridge, hatches, the width of the bridge and building construction height, gauge, position of the driveway.

III week Railway bridges: the main structural elements, gauge, width of the bridge, the driveway and driveway girders for bridges with open driveway.

IV week Railway bridges: driveway, driveway girders and the ballast for bridges with closed driveway.

V week Railway bridges: cross bracings and environment, the main girders - full and trusses.

VI week Road bridges: the main elements of construction, traffic and gauge, bridge width, driveway and pavement ballast, drainage, spring buffers.

VII week Road bridges: driveway support structure, the major girders - full and trusses, composite structures.

VIII week Bearing pads: functions, classification, position, selection and placement. IX week Roadway crossings: functions, selection and operation.

X week Constructive systems: the scope of application and basic characteristics - girder bridges, supported framework bridges.

XI week Constructive systems: the scope of application and basic characteristics - cable-stayed bridges and suspension bridges.

XII week Installation: the choice of installation technology, basic types of installation on scaffolding or yokes, free installation, assembling with longitudinal and transverse coating.

XIII week Presentation of selected bridges made in Serbia. XIV week Presentation of selected bridges made worldwide.


Student’s obligations: Lectures and exercises are compulsory. Students do home works (tests), take midterm tests, and the final exam.

Reading list: D. Buđevac: Čelične konstrukcije zgrada, Građevinska knjiga, Beograd, 1996. M. Debeljković: Čelične konstrukcije u inžinjerskim objektima, Građevinska knjiga, Beograd, 1995. Neautorizovana predavanja Assessment and grading:




STATE UNIVERSITY OF NOVI PAZAR Course title: TECHNOLOGY OF BUILDING OF CONCRETE

CONSTRUCTIONS GENERAL INFORMATION

Year of study: - Lecturer: Ljudmila Kudrjavceva, professor





Programme of study:


ECTS credits: 6

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION The first part of the course covers topics in the field of construction and production of construction works, type of construction works and the technology for their implementation. The second part of the course refers to the procedure in the process of implementation of projects, and the role and competences of all participants in the construction. This part of the course contains the basic elements of project management, calculation of construction and craft works and knowledge required to create the Bill of Quantities of the project organisation and construction technology.


Course aims & objectives: By the end of the course students will learn about the introduction to the study of technological processes, the basic characteristics and possibilities of construction machinery, calculations of practical effects, the cost of working hours and a short list of construction machinery. Introduction to standardisation, planning methods in the construction industry with the allocation of resources and funding, the basic elements of project management, project organization and technology of construction and measures of safety at work. Teaching methods: Auditory lectures presentations. Methodological units are accompanied by the appropriate descriptive or computational examples and real case studies. Students actively participate in a case in class. Exercises begin with a brief explanation, then a student solves individually (or collectively) their case, which is one of the 13 parts of a single task. Course content: Preparation week: Preparations. Semester enrolment.

I week

Introduction, the concept of the course, student obligations. Introductory lecture. The concept of the science of organisation. The historical development of doctrines and principles of the organisation. Organisational structures.

II week

Construction technology. Production process. Technological process. Linking processes in civil engineering production. Technological processes of production. Production in civil engineering. Characteristics of construction production. Production factors.

III week Measures of rationalization of construction production. Preparation of

construction production. The study of the technological process. Flowchart. Map process. The study of movement and time. Quality control of construction production.

IV week

Construction machinery. The application of mechanisation in construction, implementation of construction work, the historical development of construction machinery. Indicators of machine labour. Technology of different works. Calculation of practical effects of machines. Calculation of working hours of machines. Wider and narrower selection of machines. Analysis of the availability of production systems

V week

Construction technology. Ground works. Types of ground works. Construction machinery for ground works. Technology of ground works. Concrete and reinforced concrete works. Construction machinery for concrete works. Technology of concrete works.

VI week

Reinforcement work. Technology of reinforcement works. Machines and equipment for the steel bending works. Carpentry work. Technology carpentry work. Formwork. Formwork systems. Asphalt works. Asphalt works technology. Machines and equipment for asphalting works.

VII week Finishing works in construction. Types of the final works. Roofing works. Plumbing works. Insulation and waterproofing work. Facade works. Ceramic, stone and other finishing work. Installation works.

VIII week The concept of resources. The connection between the resources needed for construction and costs. A key link between the assessment and the projected work technology.

IX week Introduction to planning methods. Standardisation work in the construction industry. The budget needs in the labour force, machinery and materials.

X week Calculation of unit prices. Bill of Quantities of works. Gantt charts. The method of network planning.

XI week Calculation of the number of workers and the duration of the work day. Gantt charts. Cyclograms. Dynamic plans for resource needs, financial investments and realisation.

XII week

Investment project, participants, competition, assessments. The basic elements of project management in the civil engineering. Stages of realisation of investment projects from the standpoint of the investor and the contractor.

XIII week Project construction technology and organization. XIV week MS Project. Basis. Role. Way of using. XV week Project. Basics of project management. ICB and FIDIC standards.


Student’s obligations: Lectures and exercises are compulsory. Students do the semester work and the final exam.

Reading list: Dušanka Đorđević: IZVOĐENjE RADOVA U VISOKOGRADNjI, Izgradnja, Beograd, 2004. Goran Ćirović, Snežana Mitrović: TEHNOLOGIJA GRAĐENjA, Visoka građevinsko-geodetska škola, Beograd, 2007. Ivković, B., Arizanović, D., ORGANIZACIJA I TEHNOLOGIJA GRAĐEVINSKIH RADOVA SA REŠENIM PROBLEMIMA, I.P. «NAUKA» i Građevinski fakultet u Beogradu, Beograd, 1990.



Teacher who provided the information: Ljudmila Kudrjavceva, professor


Course title: FIRE RESISTANCE OF BUILDING CONSTRUCTION

GENERAL INFORMATION






Programme of study:


ECTS credits: 3

TIMETABLE

Lectures Seminars

30 (2 per week) 0

COURSE DESCRIPTION

The course Fire resistance of building structures should enable students to get acquainted with the fire as a process, its effect on the structure of objects and behaviour of materials, structural elements and assemblies. Students will be introduced to the basic methods of analysis of structures on fire effects and measures and safeguards against these actions. Corequisites & prerequisites: Metal constructions, Wooden constructions, Concrete constructions, Finite element method in civil engineering Course aims & objectives: By the end of the course students should be familiar with the facts and the fire behaviour of structural elements and structures. Fire as a phenomenon and process in modern construction is treated as one of the most destructive process. The aim of the course is to introduce students to the fire behaviour, models of fire, behaviour of materials at high temperatures, behaviour of structural elements made of different materials and elements and structures protection from the fire. The special section of the course includes the calculation of resistance of individual structural elements to fire effects. Pre-exam activities: Numerical exercises, midterm tests and term papers. Teaching methods: Lectures. Auditory, numerical/design exercises, and preparation of the assigned work. Consultations. Knowledge assessment through tests and seminar papers. The exam consists of the written and oral work. The theoretical part is taken at the oral part of the exam. Course content: Preparation week: Preparations. Semester enrolment.

I week Information about the course: tests, exams, reading list Introduction. The concept of the fire. Historical overview of fire. Fire research.

II week The behaviour of individuals in the fires, collective behaviour, group behaviour. Alarm system efficiency and behaviour of individuals at the time, evacuation, exits in case of fire. Group projects of fire analysis.

III week Fire safety of structures. The concept of fire protection in facilities. Basic documents in the field of fire protection, Elaborate on the fire protection. Measures for passive safety - fire sectors, measures to prevent the spread

of smoke and heat, measures of active fire protection, exit routes.

IV week

Fire safety of engineering structures. Design of safety engineering for the facilities of certain purpose (residential buildings, schools, hospitals, shopping facilities, restaurants, hotels, theatres, cinemas, exhibition halls, sports halls, garages, industrial buildings, warehouses of flammable liquids, warehouses, explosives, airport, etc.)

V week

Fire resistance of building structures. The concept of fire resistance. Classification of fire resistance. The concept of fire protection in the Eurocode. Review of previous research in the field of fire resistance of structures.

VI week

Real fire effects indoors. Defining the problem of fire effects in terms of high temperatures. The differences in the application of the standard fire curve and parametric curves - the modelling of real fire development. Numerical simulation of temperature, variation of certain parameters such as the mass of combustible materials, the floor covered with fuel, surface of vents, etc.

VII week

Analysis of fire in phases: the phase of development, the phase of fully developed fire and phase afterburning. Modelling of fire development. Field models – description of the temporal distribution of temperature, velocity and concentration of gases indoors. Models of the zones - conservative and approximate formulation.

VIII week

Thermodynamics of burning, calorimetry, fire load, chemical thermodynamics, burning rate, duration of the fire, development of temperature in the fire, heat transfer (conduction, convection, radiation), thermodynamics of transmission processes in the fires, the release of energy, disclosure of heat through openings in the object, fire parameters according to the EUROCODE, the modelling system of the fire.

IX week

Mechanical and thermal properties of building materials at high temperatures. Mechanical and thermal properties of concrete. The concrete strength at high temperatures. Concrete diagram Ϭ - ɛ. The coefficient of thermal conductivity. The density of concrete. Specific heat capacity. Thermal expansion of concrete.

X week

Mechanical and thermal properties of steel at high temperatures. The strength of steel at high temperatures. Steel diagram Ϭ-ɛ according to EC 4. Temperature expansion of steel according to EC 3. Thermal conductivity (conductivity) of steel according to EC 3. Specific heat capacity and density of steel.

XI week Methods of determining the fire resistance of elements and structures. Standard fire test. Empirical data, tables and diagrams. Analytical (numerical) calculation models.

XII week

Design of constructions in fire conditions according to Eurocode. Selection of the relevant fire scenarios. Determining the type of fire. Thermal and thermal analysis. The temperature of the structural elements. Mechanical response. Principles of fire resistance in the Eurocode.

XIII week Thermal analysis of building structures in fire conditions with the focus on one of the modules for the calculation - SAFIR.

XIV week

Management process of risks caused by the fire. The definition of the risks. The role of the risk management and behaviour of the facility during the fire impacts. Techniques for identifying the risks. Quantitative and qualitative risk analysis. Responses to the risks. The fire risks and the impact on the environment. Methods for presenting the results of the risk analysis.

The final week The final exam.

Student’s obligations: Lectures and exercises are compulsory. Students do the semester work, two mid terms and the final exam.

Reading list: CEN, EN 1991-1-2, Eurocode 1 - Actions on structures - part 1-2: General actions - Actions on structures exposed to fire, Brussels, 2002. CEN, EN 1992-1-1, Eurocode 2 - Design of concrete structures – part 1-1: General rules and rules for buildings, Brussels, 2004. CEN, EN 1992-1-2, Eurocode 2 - Design of concrete structures – part 1-2: General rules – Structural fire design, Brussels, 2004. CEN, EN 1993-1-2, Eurocode 3 - Design of steel structures – part 1-2: General rules – Structural fire design,Brussels, 2005. CEN, EN1994-1-1, Eurocode 4 - Design of composite steel and concrete structures – part 1-1: General rules and rules for buildings, Brussels, 2004. CEN, EN1994-1-2, Eurocode 4 - Design of composite steel and concrete structures – part 1-2: General rules – Structural fire design, Brussels, 2005. Commission of the European communities;Computer assisted analysis of the fire resistance of steel and composite concrete-steel structures;Brussels-Luxembourg ,1987 Cvetkovska Meri , Odnesuvanje na armiranobetonski elementi i liniski konstrukcii vo uslovi na požar, Skopje , 2002, Gillie Martin ;The Behaviour of Steel Framed Composite Structures in Fire Conditions, University of Edinburgh, 2000; Han L.H., Yang, Y.F., Xu, L. (2003); An experimental study and calculation on the fire resistance of concrete-filled SHS and RHS columns, Journal of Constructional Steel Research, 59, pp. 427-452. Lennon Tom , Designers guide to EN 1991-1-2, 1992-1-2,1993-1-1 and 1994-1-1 : handbook for the fire design of steeel,composite and concrete structures to the eurocodes,Institution of Civil Engineeres(Great Britain ) ,2006, Milivoje Milanović, Atanas Filipovski, Meri Cvetkovska , Petar Cvetanovski : Analiza spregnutih stubova od čelika i betona izloženih požaru, Prvi nacionalni simpozijumu sa međunarodnim učešćem TEIK 2010 - Teorijska i eksperimentalna istraživanja konstrukcija i njihova primena u građevinarstvu od 18-19 Marta 2010 godine u Nišu , Srbija , drugi tom zbornika simpozijuma SAFIR version 2013.b.2. A computer program for analysis of structures subjected to fire, J.M.Franssen, University of Liege, November 2012 ; SAFIR-material properties, Thomas Gernay , Jean-Marc Franssen, University of Liege, December 2011; Assessment and grading:





Course title: PRESTRESSED AND COMPOSITE CONSTRUCTIONS

GENERAL INFORMATION






Programme of study:


ECTS credits: 5

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION

Introduction to the concept and principles of design and sizing, as well as relevant technical regulations, pre-stressed concrete structures, composite structures combined with coupling steel profiles/girders and concrete, and concrete-concrete coupling.

Corequisites & prerequisites: Material resistance 2, Concrete constructions, Metal constructions

Course aims & objectives: By the end of the course students should acquire knowledge in the field of analysis, calculations and dimensioning of pre-stressed and composite structures.

Teaching methods: Lectures, exercises, semester work, midterm tests, term papers, written and oral test. Consultations. Course content: Preparation week: Preparations. Semester enrolment.

I week Introduction and notes on the course; Basic concepts of composite structures; The idea and history of prestressing; The basic concepts of prestressing; Types of prestressing

II week

Materials for prestressing; Concrete for prestressing, prestressing steel, injection mixture; Technological details: routing of cables and cables for prestressing, performing phases of post-tensioning, the anchor for subsequent prestressing

III week Ideal effects of prestressing: general remarks, the dependence of the impact on the shape of the cable route; Prestressing impacts on the supports: statically determinate supports, statically indeterminate supports

IV week

Losses of prestressing force: general remarks, classification of the force losses; Current losses of prestressing force: friction losses, losses due to the wedge feeding for anchoring, losses due to elastic shortening of the concrete; Time losses of prestressing force: general remarks, the losses due to shrinkage and creep of concrete, losses due to the steel relaxation

V week

Reliability evidence of PN structures: dimensioning of PN constructions, allowed stress, geometrical characteristics of the active cross-section; Limit states of usability: limit state of normal stresses, calculation of normal stresses, dimensioning according to the normal stresses

VI week

Cable management along the supporter; Limit (fizo) zones; Reinforcement for the reception of the main tensile stress; Security of cracking; Limit load state; Working diagrams of concrete and steel; Limit state of rupture due to M and N: stress-strain field; Clean and complex bending

VII week Introduction to the composite structures; Types of composites, History of composites; Methods of composite structures; Elements of composite structures; Materials in composite structures

VIII week

Basics of composite structures: introduction, basics of the calculation according to the theory of elasticity, basics of the calculation according to the theory of plasticity, basics of the calculation according to the theory of limit states

IX week Materials in composite structures; Concrete: The concrete creep and shrinkage, integral and algebraic link between stress and strain, AAEM method; Steel: for the reinforcement, profiled steel sheet, fasteners, steel for prestressing

X week Analysis of composite structures according to the theory of elasticity; assumptions; The stresses and displacements at time t = t0; The stresses and displacements at time t; Statically indeterminate supporters

XI week Analysis of composite structures according to the theory of limit states; Composite beams; Capacity of cross-section on the bending and vertical shear

XII week Capacity of beams to lateral torsional buckling; Loading capacity of composite beams to longitudinal shear; Continuous composite beams

XIII week Analysis of composite columns: calculation methods; Capacity of the cross section of composite columns; Capacity of composite columns in the axial pressure; Capacity of pillars in pressure and uniaxial and biaxial bending

XIV week Analysis of composite plates; Corrugated sheet in the assembly stage (as a formwork); Calculation of composite panels; Calculation and construction of dowels

XV week Capacity of composite ceilings in bending; Capacity of ceiling on longitudinal shear; Capacity of composite ceiling puncture

Student’s obligations: Lectures and exercises are compulsory. Students do the semester work, two mid terms and the final exam.

Reading list: M. Đurđević: Prednapregnuti beton, Građevinski fakultet, Beograd, 2008 R. Pejović: Prethodno napregnuti beton, Univerzitet Crne Gore, Podgorica, 1999 V. Alendar: Prethodno napregnuti beton, interna skripta, Građevinski fakultet, Beograd, 2003 M. Aćić, A. Pakvor, Ž. Perišić: Teorija armiranobetonskih i prednapregnutih konstrukcija, Građevinski fakultet i Naučna knjiga, Beograd, 1983. V. Mihajlović: Spregnute i prednapregnute konstrukcije, Naučna knjiga, Beograd, 1989 M. Pržulj: Spregnute konstrukcije, Građevinska knjiga, Beograd, 1989 R. Folić, D. Zenunović: Spregnute konstrukcije čelik-beton, Fakultet tehničkih nauka, Novi Sad, 2009 B. Deretić-Stojanović: Spregnute konstrukcije, skripte, Građevinski fakultet, Beograd Evrokodovi EC1, EC2, EC3, EC4 S. Brčić: Prednapregnute i spregnute konstrukcije, predavanja, www.np.ac.rs





Course title: CONSTRUCTION STABILITY

GENERAL INFORMATION

Year of study: - Lecturer: Dragoslav Šumarac, professor


Teaching assistant: Petar Knežević



Programme of study:


ECTS credits: 7

TIMETABLE

Lectures Seminars


COURSE DESCRIPTION Construction stability, as a subject, should enable students to master the mathematical apparatus and methods necessary to independently solve the problem of structural stability and to determine the impact of the second-order theory for linear systems. The subject deals with the stability of the rod and the nature of the equilibrium position using different methods (direct method of initial parameters, integrodifferential ...), as well as the stability of the system poles (finite element method, the approximate deformation method, the exact method of deformation).

Corequisites & prerequisites: Passed exams in Construction statics 1

Course aims & objectives: By the end of the course students should master the methods of solving the problem of stability of the building structure and to determine the impact of the second order theory. By mastering this course students are trained to apply the knowledge to the dimensioning of structures taking into account the problem of structural stability, which is further used in concrete, steel and other constructions. Teaching methods: Lectures, exercises, home work (tests), midterm tests, term papers, and the final exam. Consultations. Course content: Preparation week: Preparations. Semester enrolment.

I week

Information about the object: tests, exams, reading list The concept of critical load and the nature of the equilibrium position: definitions, classifications (stable, unstable and neutral (indifferent) equilibrium position) Basic equations and unknown problems of existing theories: 1. The theory of the first order 2. The theory of second order 3. The theory of third order (the theory of large deformations)

II week

Linearized theory of second order: the product of static size and deformation size according to the theory of second order, approximately equals the product of static size according to the theory of first order and deformation size according to the theory of second order

(S '' ∙ D '= S ∙ D''). The theory of second order: the performance of differential equations of rods with constant cross-section loaded to axial force according to the second order theory.

III week Integrodifferential equation: obtaining integral equations of the right rod according the theory of second order with the introduction of fictitious loads

IV week Stability of rod of constant cross-section - Method of initial parameters: Determination of solutions of differential equations with the axial pressed the strained rod

V week

Stability of rod with the rapidly changing cross-section - Method of initial parameters: Solving stability problems of rod with rapid change in the cross-section using transmission matrix and finding nontrivial solutions of the equations system.

VI week

Application of energy methods in problems of stability: Solving differential equations by applying the principles of energy (principle of the conservation of energy and minimum potential energy) marginalising the impact of normal and transverse forces.

VII week

Approximate methods of deformation: defining the basic equations for rod of type '' k '', '' g '' and '' s'' according to the second order theory. Calculation of rod system according to the theory of second order using the approximate deformation method: Defining equations of displacement, rotation and determining the normal force (according to the theory of first order).

VIII week

Calculation of rod system according to the theory of second order using the approximate deformation method: forming the system equations and determining the critical load of rods by equalization of the determinant matrix of the system with zero.

IX week

Finite Element Method: defining the stiffness matrix of the first and second order (geometric matrix) of rods - type ''k''. The dominant influence is the bending momentum, while the effects of normal and transverse forced are marginalized. The calculation system of rods according to the theory of second-order by application of the finite element method: Forming the stiffness matrix of the rods system.

X week The budget system of rods according to the theory of second order using the finite element method: determination of critical loads of rods by equalisation of the determinant matrices of the system with zero.

XI week

Application of the ''true'' method of deformation in the theory of second order and stability problems: Problems are solved by forming the matrix system with the determination of the value of the normal force according to the theory of the second order.

XII week Stability of thin plates XIII week Stability of shells XIV week Stability of columns in the plastic field XV week The final exam

Student’s obligations: Lectures and exercises are compulsory. Students do the home works (tests), midterm test, partial and the final exam.

Reading list: M. Đurić: Stabilnost i dinamika konstrukcija Prvi deo- Stabilnost konstrukcija, Građevinski fakultet Beograd, 1980. Ranković S., Ćorić B., Stabilnost konstrukcija – Zbirka rešenih zadataka sa kraćim izvodima iz teorije, Naučna knjiga, Beograd 1983. godine



Teacher who provided the information: Dragoslav Šumarac, professor


Course title: PROFESSIONAL PRACTICE

GENERAL INFORMATION



Teaching assistant:



Programme of study:


ECTS credits: 4

TIMETABLE

Lectures Seminars Professional practice

1 0 150

COURSE DESCRIPTION

The course Professional practice enables students for practical application of theoretical knowledge acquired during the studies.


Course aims & objectives: Educational goal of the course is to enable students to engage in the work process in construction companies. Construction companies (domestic and foreign) in which they can perform the PRACTICE: - The design companies in the field of building construction, low constructions and hydraulic engineering. - Contractor enterprises in the field of building construction, low constructions and hydraulic engineering. - Public and other companies that perform one of these activities. - Institutes, laboratories, etc. who rely on activities in building construction, low construction and hydraulic engineering. Pre-exam activities: Numerical exercises, midterm tests and term papers. Teaching methods: Students With their individual engagements and depending on their affinity, students find construction companies in which they perform the professional practice. Students prepare presentation concerning the works performed during the student's presence at the facility. In addition, they are obliged to write reports for certain days spend at the facility, with the necessary documentation (construction diaries, books, notes). Students, with the report on the successfully completed the professional practice, agree with the lecturer on the date of its defence. Students defend their Report on completion of the professional practice. Course content: Preparation week: Preparations. Semester enrolment.

I week Introduction. Introducing students to the professional practice. Forms. II week The agreement with students about going to the object. The selection of

companies where the practice will be performed. The records of the company.

III week Going to the construction site. Introduction to the technical documentation of the object (projects). Introduction to security measures at the site. Opening the internal construction diary.

IV week Going to the construction site. Tracking works. Keeping the construction diary. Analysis of groundworks (if performed).

V week Going to the construction site. Tracking works. Keeping the construction diary. Analysis of the works on the development of certain planking constructive elements (if performed).

VI week Going to the construction site. Tracking works. Keeping the construction diary. Analysis of steel bending works of individual structural elements (if performed).

VII week FREE WEEK

VIII week Going to the construction site. Tracking works. Keeping the construction diary. Analysis of works on concreting individual structural elements (if performed).

IX week Going to the construction site. Tracking works. Keeping the construction diary. Analysis of hydro-insulation (waterproofing) works of individual structural elements (if performed).

X week Going to the construction site. Tracking works. Keeping the construction diary. Analysis of the carpentry work on the roof construction of the facility (if performed).

XI week Going to the construction site. Tracking works. Keeping the construction diary. A proposal for improvements of site organisation for the process of labour, transport and use of machinery.

XII week Going to the construction site. Introduction to the organisation of the construction company, subcontractors, suppliers.

XIII week Going to the construction site. Collecting data in order to create a presentation. A picture of the object and the structural elements.

XIV week FREE WEEK - MAKING PRESENTATIONS

XV week The submission of the report about the performed professional practice. The agreement on the date of the presentation defence. End of the semester.

Student’s obligations: Students are required to complete the planned number of hours of practical training at the facility and keep the necessary documentation. Students are obliged to obtain a certificate of the completion of the practical training with a score of mentors. Finally, students are required to prepare a presentation about the professional practice and to submit all the required reports. Reading list: In the course of the practical training on the object, students are obliged to use all the necessary literature in the field related to the work being performed at the facility. The literature will be used by students to refresh the knowledge of what he listened on the lectures and to eventually eliminate all doubts and uncertainties. Assessment and grading:



Teacher who provided the information: Nazim Manić, professor

Documents

STATE UNIVERSITY OF NOVI PAZAR - np.ac.rs · PDF fileM. Mišković, Električne instalacije i osvetljenje, Građevinska knjiga, 2007. Assessment and grading: ... STATE UNIVERSITY OF