**DESCRIPTION OF UNDERGRADUATE COURSES**

( T: Theory, A: Application, C: Credit hours, C = T + A/2 ) (T-A)C

**1st year / Fall semester (1st semester)**

**0501103 Mathematics I (4-0)4**

Functions, Limits, continuity and derivatives. Applications. Extreme values, the Mean Value Theorem and its applications. Logarithm, exponential, hyperbolic functions, Taylor and Maclaurin Formulas, inverse trigonometric functions and their derivatives. L'Hospital's rule.

**0501101 Physics I (4-0)4**

Vectors. Motion in one dimension. Motion in two dimensions. Newton’s laws and their applications. Newton's universal gravitation law. Work and energy. Conservation of energy. Momentum and motion of systems. Static equilibrium of rigid bodies. Rotation and angular momentum.

**0501102 Chemistry**** (4-0)4**

Introduction to atomic and electronic structure, chemical bonding, molecular structure and bonding theories, properties of liquids, solids and solutions, chemical equilibrium, kinetics, thermodynamics, metal complexes, organic compounds and nuclear chemistry

**0501111 Technical Drawing I (2-2)3**

Projection and its types, perspective types, section appearances, section in architectural projects

**0501112 Engineering Geology (2-0)2**

Development of the Earth’s Crust. Minerals, rocks and mineral ores. Tectonic activities. Earthquakes. Natural building materials. Development of soil and its types. Underground water. Dam and dam lake. Cut-through tunnel geology. Research in geophysics. Maps and sections.

**0501116 Turkish Language I**** (2-0)2**

Prescription of language and the importance of language in a nations life. The relationship between language and culture. The voices in Turkish Language and classification of these voices. The rules of dictation and punctuation marks.

**0501115 Atatürk’s Principles and History I (2-0)2**

The developments which had prepared Turkish reforms. National struggle and Turkish War of Liberation Foundation of Turkish Republic. Turkish Reforms and Ataturkism.

**0501113 Physical Education I (0-2)1**

Main terms in Sports, definitions of branches in Sports.

**1st year / Spring semester (2nd semester) **

**0501204 Mathematics II (4-2)5**

Integration techniques. Improper integrals. Infinite series, power series, Taylor series. Vectors, lines and planes in space. Functions of several variables: Limit, continuity, partial derivatives, the chain rule, directional derivatives, tangent plane approximation and differentials, extreme values, Lagrange multipliers. A brief introduction to double integral.

**0501202 Physics II (4-0)4 **

Coulomb's law and the electric field. Gauss' law. Electric potential. Capacitance. Electric energy. And properties of insulators. Current and resistance. Energy and current in DC circuits. The magnetic field. Sources of the magnetic field. Faraday's law. Inductance. Magnetic fields in matter. Electromagnetic oscillations and AC circuits. Maxwell's equations and electromagnetic waves.

**0501212 Technical Drawing II (0-4)2**

Projection and its types, perspective types, section appearances, section in architectural projects

**0501213 Engineering Mechanics I (Statics) (4-0)4 **

** **Definition and classification of mechanics. Principles of statics. System of planar forces, constraints of planar bodies and computation of constraint. Gerber beams. Systems of three hinges. Plane trusses. Cables. Space system of forces. Central axis. Parallel forces in space. Astatic equilibrium. Center of gravity. Constraints in space. Spatial trusses. Principle of virtual work. Friction.

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**0501217 Turkish Language II (2-0)2**

The ruins of descriptions in Turkish Language. The general knowledge about composition. The short of written and oral composition. The principles that would be followed in preparing scientific writings (report, petition, communication decision etc.)

**0501216 Atatürk’s Principles and History II (2-0)2**

The developments which had prepared Turkish reforms. National struggle and Turkish War of Liberation Foundation of Turkish Republic. Turkish Reforms and Ataturkism.

**2nd year / Fall semester**** (3rd semester)**

**0501301 Mathematics for Engineers I (4-0)4**

Fourier series and applications. Complex numbers. Basic algebraic rules for complex numbers. De Moivere's Law and applications. Vector analysis. Curves and surfaces. Line integrals, calculation of work by line integrals. Gradient of scalar fields. Divergence and curl of vector fields.

**0501302 Mechanics of Materials I (4-0)4**

Definition. Fundamental principles. Classification. The state of stress and the stress tensor. Strains. Linear elasticity. Hooke’s laws. Energy. Fatigue. Plasticity. Strength theories. Stress resultants in beams and their diagrams. Normal force, statically indeterminate problems for normal force. Shear force. Computation of riveted joints. Torsion of circular shafts. Torsion of non-circular shafts. Torsion of thin-walled members of open cross section and thin tabular members. Moments of inertia of plane areas. Straight and skew bending.

**0501303 Materials Science I (2-0)2**

Atoms: Basic elements, bond forces, diameters of atom and ion, forces of attraction and repulsion , atomic arrangements: crystal structure, solid solutions, phase law, stability diagrams, diffusion, internal imperfections, amorphous structure, molecular structure, ceramics, pore types, mechanical properties of composite bodies: stress, deformation, deformation measurement, elasticity, Hooke’s law, plasticity, uniaxial abrupt rise, stress-strain curves, fracture, brittle and ductile material definitions in tension, behaviour of a material under multiaxial state of stress, failure theories, Newton’s liquid and substance. Rheological models, fatigue, other mechanical properties of materials. Physical properties: Properties related with pores, permeability, capillarity, resistance to freezing. Thermic properties: acoustical properties , electrical properties.

**0501304 Construction Technology (3-0)3**

Equipment information: Construction equipments : boring machines, pile drivers, soil digging and compacting machines, stone breaking , sieving ,and washing machines, concrete facilities, bituminuos mixture facilities, Layout of site installations and capacity requirements, Vertical and horizontal transportation facilities. Production plants and workshops for repair and maintenance. Forms and scaffoldings.

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**0501305 Statistics (2-0)2**

Importance of statistics in engineering. Fundamentals of probability theory. Random variable and random event. Concept of probability. Distribution of random variables. Parameters of distributions, statistical moments. Mean, variance, frequency analysis. Estimation of parameters. Important probability distribution functions. Sampling distributions. Testing of statistical hypothesis. Simple linear regression analysis. Correlation coefficient. Multiple nonlinear regression analysis.

**0501307 Fundamentals of Information Technologies I (2-2)3 **

Introduction to the Information Technologies, Information Age and Information Society, Information Systems, Computer Organization, Operating Systems, Use of an Operating System, Use of Computer Input & Output Devices, Software Concept, Introduction to Software Application (Word, Excel, Powerpoint, Access).

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**2nd year / Spring semester (4th semester)**

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**0501402 Mathematics for Engineers II (4-0)4**

Differential equations. Existence and uniqueness of solutions. First order differential equations. Applications of first-order differential equations. Second-order differential equations with constant coefficients. Use of operator method in solving the nth-order linear differential equations with constant coefficient. Cauchy and Legendre equations. Laplace transformations. Power series solutions of differential equations. Introduction to partial differential equations

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**0501403 Mechanics of Materials II**** (2-2)3**

Bending with shear. Center of shear. Study of elastic curve by various methods. Effect of shear on the elastic curve. Normal force with bending. Core. Materials not resistant to tension. Second order theory. Bending with torsion. Theorem of virtual work. Theorems of Betti and Castigliano. Minimum energy principles. Elastic stability. Euler cases. Buckling beyond the elastic limit. Method of Omega. Approximate methods. Rayleigh's ratio.

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**0501404 Engineering Mechanics II (Dynamics) (3-0)3**

Definition and classification. Kinematics and kinetics of particles. Inertial frame. Newton’s laws. Impulse and momentum. Work. Field of force. Potential and kinetic energy. Motion in a resistive medium. Oscillations. Systems of particles. Celestial mechanics. Motion of a system with changing mass. Rigid body. Euler angles. Theorems of Charles and Euler. Theorems of center of mass. Axial rotation, gyroscope, plane motion, relative motion.

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**0501408 Building Materials (2-2)3**

Binder materials: Gypsum, lime, pozzuolana, Portland cements: manufacturing, physical and mechanical properties. Aggregates: properties and tests. Concrete: factors effecting strength. Properties of fresh concrete, mix design, production of concrete. Properties of hardened concrete. Quality control. Types of concrete. Metals and alloys: Steel. Iron-carbon phase diagrams. Hot working. Cast iron. Metallic alloys. Masonry buildings. Ceramics. Glasses. Plastics. Timber.

**0501406 Surveying (3-2)4**

Definition of surveying, contents, measurement units, measurement errors and their estimation. Classification of maps, scales. Determination of points and lines in the field and measurement of lengths. Vertical rise and fall instruments and methods. Common parts in surveying instruments. Theodolite, angle measurement methods, polygon strings, measurement and computations, measurement of height differences. Usage of levelling instrument and evaluation of measurements. Taking longitudinal and transverse sections in the field. Takeometric measurements and plan drawing. Projection of the earth’s surface, area and volume computations. Application measurements.

**0501407 Numerical Analysis (2-0)2**

Considerations of numerical computation algorithms. Error types, solution of algebraic system of equations, interpolation and data fitting methods. Finite difference method. Various applications.

**0501409 Programming Languages I (2-2)3**

Introduction to programming, problem solving with computer (algorithms and flowcharts), Program Structure in Pascal, Data types and definition blocks, editor usage in T.Pascal, I/O commands, comparison commands, loop commands, console commands, subprograms, array, sorting and searching methods, file I/O, Overlay files.

**3rd year / Fall semester (5th semester)**

**0501512 Structural Analysis I (4-0)4**

General concepts, analysis of statically determinate structures, determination of internal forces, internal force diagrams, analysis for moving loads, influence lines, statically determinate systems, compound beams with hinges, three hinged arches and frames, trusses, computation of deformations and displacements of statically determinate structures.

**0501513 Fluid Mechanics (4-0)4**

Unit systems, dimensional homogeneity, physical features of fluids, hydrostatic, calculation of pressure forces, relative equilibrium, kinematics, Euler and Lagrange methods, one, two and three dimensional flows of ideal and real fluids, basic equations, Laminar and Turbulent flow, Potential flows, boundary layer, Hagen-Poiseuille equation and it’s applications.

**0501503 Soil Mechanics I (3-2)4**

Physical and index properties of soils. Classification.Compaction. Hydraulic properties, capillarity, permeability, frost effect. Effective, neutral and total stress. Stress-strain relationships for soils. Stress distribution in soils. Consolidation. Shear strenght. Earth pressure.

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**0501514 Programming Languages II (2-2)3**

Structure of A Program, data types and definition blocks, Editors, Input and Output Commands, Comparison Commands, Loop Commands, Console Commands, Pointers, Sub functions, Recursive functions, Use of macros, standard functions, Arrays, Ordering and search techniques, Run-time compiler error codes, Header files, Use of printer, Text and binary files, Use of overlay file, Graphical and sound commands. After commands, programming logic and techniques have been explained in theoretical lectures, sample programs are prepared in covering these topics. In order to strengthen the topics, homeworks are assigned each week. After the theoretical topics have been practiced in the computer laboratory, then it is advised that homeworks of the previous week be carried out in computer.

**0501505 Labour Law (2-0)2 **

Introduction, The sources of Law, The Categories of Law, Introduction to labour law: Definition historical development, characteristics, sources and organizations. Basic concepts of labour law; Employee employer, employer's representative (manager), workplace and enterprise. Individual labour law: Individual employment relationship, contract of employment, the types of contract of employment. Duties arising from the contract of employment; employee's duty to work, obligation to obey the orders of the employer, duty of loyality, employer's duty to pay wage, duty to protect the employee, to treat employees equally. The end of the contract of employment; termination of the employment contract, severence pay. Organization of work, working time, overtime work and breaks. Weekly rest day, paid vacations and annual leave with pay. Introduction to collective labour relations. Trade unions, trade union membership and activities of trade unions in general, in the workplace, in the enterprise. Collective labour disputes and procedures of settling them, peaceful resolutions, industrial conflicts, strike and lock-out, principles of implementation, legal consequences.

**0501506 Transportation Engineering I (3-0)3**

History of highways, definition of highways, capacity of highways, determination of geometric standards of highways, investigation of road route and preparation of plan. Horizontal curves and transition curves. Longitudinal cross-section and vertical curves, infrastructure, highway drainage, superstructure, bituminous pavements, rigid pavements, concrete roads and cobblestone pavements.

**Technical Elective Courses (5th Semester) :**

**0501507 Professional Foreign Language I (3-0)3**

Basic grammar rules will be repeated in order to be able to translate professional documents and understand fundamental professional books written in a foreign language. Some common terms and simple texts about main subjects in Civil Engineering will be explained and translated into Turkish.

**0501508**** Mechanics of Materials III**** (3-0)3**

Triaxial stress theory, deformation measurements, elasticity theory and its equations, two dimensional problems in cartesian and polar coordinates, special problems in three dimensional elasticity, stress-strain analysis.

**0501509**** Operation Research Techniques in Construction Management (3-0)3 **

Some concepts concerning with production and management; quantitative decision making; model building and modelling philosophy; linear programming and simplex algorithm; M method; duality and economical analysis; sensitivity analysis; transportation models and solving methods; goal programming, Multi-level decision making in integer programming, Stochastic and deterministic dynamic programming, Project management in construction. Scheduling with networks on arrow diagrams (CPM).

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**0501510**** ****Earthworks**** (3-0)3**

Introduction, definitions concerning transportation roads, computation of cross sectional areas and volumes, mass diagram and hauling, excavation methods, mechanical equipment used for earthworks.

**0501511**** ****Irrigation**** and Drainage (3-0)3**

Introduction, factors affecting the crop growth, properties and classification of soil, determination of irrigation water requirement, classical irrigation network, canalets, water distribution methods, irrigation methods, general principles of drainage, drainage with open ditches, drainage with drains.

**0501515 Computer Aided Drawing (2-2)3**

Introduction to actual drawing programs. Drawing area. Two dimensional drawing. Drawing commands, correction and coordinating commands for objects, measurement, writing, block, layers, hatching, image commands, three dimensional drawing, computer aided drawings about civil engineering subjects.

**0501516 Formwork in Reinforced Concrete Structures (3-0)3**

Principal elements of formwork of concrete. Surfaces of formwork. Supporting elements. Connection elements. Classical formwork for reinforcement footings, walls, columns, slabs and beams. Modern formwork systems. Special formworks. Moving formworks. Tunnel type formworks. Selection of types of formworks.

**0501517 Fracture Mechanics of Concrete (3-0)3**

Principles of Linear Elastic Fracture Mechanics (LEFM) , Application of LEFM to concrete, Structure and fracture process of concrete. Nonlineer fracture models for concrete. Test methods for the determination of fracture parameters. Fracture mechanics and compressive failure. Determination of the tension softening response of concrete. Applications of fracture mechanics to concrete structures. Application to high performance cementitious materials.

**050151****8**** Architectural Design of Structures (3-0)3**

Main objective of the course, is to develop the understanding of the architectural project and develop the skills of applying the project. Introduction to architectural concept, principles of designing construction (stair, window, door), protection of foundation against ground water, protection of building against rain, thermal insulation, service systems (water, electrical supply etc.) prefabrication.

**0501519 Fire Safety of Structures (3-0)3**

History. Definitions. Properties. Mechanical properties of materials under fire. Fire resistant design of reinforced concrete structures. Simply supported beams and slabs not allowed to extend. Continuous beams and slabs. Columns. Fire resistant design of timber and steel structures. Statistical approach for structural safety.

**3rd year / Spring semester (6th semester)**

**0501602**** Structural Analysis II (3-2)4**

Statically indeterminate structures, analysis of statically indeterminate structures by Force method, analysis for dead and live loads, temperature changes and different support settlements, analysis for moving loads, influence lines, continuous beams, analysis of structures for most unfavorable loading conditions, analysis of sidesway prevented structures by Slope-deflection and Cross methods.

**0501603**** ****Hydraulics**** (3-2)4**

Dimensional analysis, Pi theorem, model similitude, pressured flows, local and frictional energy losses, calculation of pipe systems, multireservoir pipe systems, open channel hydraulics, uniform flow, the best hydraulic section, varied flows, specific energy, hydraulic jump, calculation of gradually varied flows, channel controls, orifices and weirs.

**0501604**** ****Hydrology (2-0)2**

Definition of hydrology: Its importance and methods. Hydrologic cycle. Formation and measurement of precipitation, analysis of records. Evaporation and evapotranspiration losses. Infiltration. Ground water flow. Streamflow measurements and analysis of records. Surface runoff. Hydrographs. Unit hydrograph theory, rainfall-runoff models. Flood routing. Applications of statistics in hydrology.

**0501612**** ****Reinforced Concrete I (4-0)4**

Concrete and steel materials working together. Computation principles, computation according to working stress and ultimate strength methods. Sections under uniaxial loading. Pure bending. Combined bending and axial loading, and bending under biaxial loading. Sections under torsion. Buckling problem. Structural members: design of beams. Plates: Slabs with and without beams. Single and continuous footings.

**0501606**** ****Foundation Engineering I (3-0)3**

Soil investigation. In-situ tests. Stability of slopes. Retaining walls. Sheet pile walls. Bearing capacity of shallow and deep foundations. Construction methods of pile foundations. Ground improvement. Excavation for foundations, supporting excavations. Monitoring foundations and measurement devices.

**0501607**** ****Transportation II (1-2)2**

Preparation of plans for road layout by drawing the zero polygon on a map with contour lines; longitudinal, transverse and typical cross-sections; volume computation, drawing of Bruckner’s curve, outlet pipe project, measurement of quantities for infrastructure and superstructure, and preparation of survey summary.

**Technical Elective Courses (6th Semester) :**

**0501608**** ****Professional Foreign Language II (3-0)3**

To make students achieve translations in order to help them understand professional documents, handbooks and texts which they may encounter in daily life. And to give examples about how to change some texts in Turkish into English.

**0501609**** **Coastal Engineering and Harbours (3-0)3

Coastal zone water wave theory; shoaling, refraction and diffraction of water waves; wind waves, forecasting of waves, wave rising, water and wind composition, long-period and tide waves; boundary layer by the sea bed, coastal erosion and transportation of coastal solid materials; wave forces on coastal structures; harbour types, selection of building site, ideal capacity, construction rules for coastal structures.

**0501610**** **Soil Dynamics (3-0)3

Wave propagation in soil layers, behaviour of soils under repeated loadings, dynamic loading on shallow and deep foundations, earth dams, slopes, retaining structures, effects of earthquake on tunnels and underground structures, machine foundations.

**0501611**** ****Structural Dynamics (3-0)3**

Formulation of dynamic models for continuous and discrete structures, equations of motion for single and multi degree freedom systems, normal mode analyses, dynamic effects, deterministic and stochastic response to impact and natural loading (earthquake, wind, wave), energy methods in structural dynamics, introduction to the analysis of nonlinear systems and to the stability of structural elements; Large structures like beams, plates and sea platforms.

**0501613**** ****Tunnel and Infrastructure (3-0)3**

Infrastructure establishments, stability of infrastructure’ s body, measures against sliding, construction types of protective establishments, retaining walls, cover walls; infrastructure establishments for the conveyors such as chutes, etc. to pass waterwaIys; culverts, siphons, tunnels, definition and history, tunnel survey, pressures on the tunnel, size and types of coating, size of galleries, wells, methods of tunnel construction, special methods of constructing tunnels.

**050161****4****Insulation ****and Protection of Buildings (3-0)3**

Insulation and protection concepts in buildings. Cladding materials. Insulation materials. Thermal conduction in buildings and thermal insulation. Water and moisture isolation. Sound isolation, acoustics. Lighting with daylight. Fire protection.

**050161****5**** **Timber Structures (3-0)3

General Knowledge about Timber / Connections (Fasteners) and Details / Simple Tension and Compression Members / Eccentric Compression Members / Simple and Built-up Beams / Trusses.

**0501616 Construction Site Techniques (3-0)3**

Layout of site installations and capacity requirements. Offices, stores. Vertical and horizontal transportation facilities. Production plants and workshops for repair and maintenance. Forms and scaffoldings. Other installations. Energy planning in sites. Fundamentals of site layout. Principles and methods. Site layout of various construction projects related to buildings, roads and highways, dams and tunnels.

**050161****7**** Design Management in Building Construction (3-0)3**

Creative design methods. Design activities, special features and building regulations. Conceptual drawings, preliminary and final (detailed) design. Design of dwellings, housing projects, schools, office buildings, industrial buildings, buildings of health and of tourism.

**0501618 Experimental Mechanics (3-0)3**

Introduction. Kinematic relations. Eguilibrium equations. Constitutive equations. Solution methods. Photoelasticity. Optics, ray, polarized light, types of polariscopes. Laws of photoelasticity, isoclinic,isochromatic, stress trajectories. Principles of separation, materials for a model, applications to engineering problems. Statistical models. Strain gauge, measure of stress, rosette analysis, dimensional analysis.

**4th year / Fall semester (7th semester)**

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**0501701**** ****Steel Structures I (2-2)3**

Introduction to steel structures. Riveted, bolted, pinned, welded connections. Elements of steel structures with their types, allowable stress design and detailing. Tension and compression members, beams and beam-columns, trusses and lattice girders, plate girders. Special topics.

**0501703**** ****Water Resources Engineering I (2-2)3**

Water resources and analyses of system. Coast-benefit analysis. Optimization of system on planning water resources. Classification of optimization methods. Unit hydrograph. Estimation methods. Application of statistics on hydrology. Correlation and regression analysis. Organisation of water resources systems. Hydrology of groundwater.

**0501713 Hydraulics Structures I (4-0)4**

Introduction to water construction, river sediment movement, river regulation analysis, diversion weirs and gates, types of diversion weirs and gates, intake structures, reservoirs, energy dissipators.

**0501705**** ****Project (0-2)1**

Evaluation of knowledge about a given engineering subject and reaching the desired aim with theoretical or experimental studies.

**0501706**** ****Reinforced Concrete II (2-2)3**

Design of reinforced-concrete slabs supported by beams, slabs without beams and girdered slabs subjected to vertical loads. Information about Turkish Earthquake Code of 1998. Determination of lateral EQ forces affecting reinforced-concrete structures according to the code and distribution of internal forces in structural elements. Calculation of the internal forces at foundations (wall foundations, footings, continuous foundations on elastic soil, plate foundations) of masonry and reinforced-concrete structures subject to vertical and lateral loading. Introduction to staircase systems and determination of internal forces at inclined and landing plates and design. Introduction to retaining walls, design of retaining wall sections under the affecting soil forces and live loads.

**050170****2**** Graduation Thesis (0-4)2**

Preparation of a detailed project in a given engineering topic.

**Technical Elective Courses (7th Semester) :**

**0501707**** **Traffic Engineering (3-0)3

A brief information about transportation and traffic techniques; traffic flow types and periodical changes; geophysical, social and dynamic factors affecting traffic flows; traffic elements, human beings, vehicles, highways and intersections, arrangement of intersections, a brief summary about traffic counting and preliminary survey, speed and delay studies; traffic accidents; parking surveys; traffic signs; information about notice boards, marks on pavements and illuminated signals.

**0501708**** Structural Analysis III (3-0)3**

The analysis of indeterminate systems by Slope-Deflection (displacement) and Cross methods. Analysis of systems with and without sidesway. Special cases: Hinged, cantilevered and symmetrical systems, systems with elastic foundations, systems with discontinuous beams or columns. Temperature changes and differential settlement. Advanced topics in force method. Group loading. Change of basic determinate system.

**0501709**** ****Highway Pavement (3-0)3**

Definition of highway pavement; stress distribution in highways; design of highway pavements; flexible pavements; rigid pavements; materials used in highway pavements; construction of flexible pavements; concrete pavements; cobblestone pavements; illumination of highways.

**0501710**** ****Foundation Engineering II (3-0)3**

Stress distribution in soils, stability of slopes and hillsides (classification, stability analysis methods, drainage problems), strengthening of foundations.

**0501711 Plants of Environmental Sanitation (3-0)3**

Disposal of waste waters, sewage systems, design and computation of conduit network, waste water treatment.

**0501714 Computer Applications in Structural Engineering (3-0)3**

Table account softwares, graphic and table coordination techniques, structural engineering softwares, computer aided structural analysis, design of reinforced concrete cross-sections by using computers, computation of buckling and dynamical characteristics of structural elements, planar frames, computer applications on continuous beams, foundations, trusses and grid systems, the use of package programs, examples.

**0501715 Finite Element Method in Engineering (3-0)3**

Introduction. General concepts. Advantages and disadvantages of the FEM. Summary of the analysis by a simple example. The truss analysis. Variational and weighted residual formulations. The Ritz and Rayleigh-Ritz method. The method of weighted residuals. The Rayleigh-Ritz FEM. The Galerkin FEM. Numerical examples. General approach to structural analysis. Principle of minimum potential energy and virtual displacements. Examples. The finite element basis. The shape function matrix. The finite element characteristics. A detailed application. Parameter functions. Converge requirements. Continuous shape functions. One, two and three dim. elements. Axisymmetric elements. Stress analysis. Plane stress and plane strain. Element stiffness matrix and load vectors. Axisymmetric stress analysis. Three dim. stress analysis. Beams. Substructuring. A detailed plane stress application. Co continuity shape functions. Discussion of the convergence requirements. Curved isoparametric elements and numerical integration. Bending of plates.

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**050171****6**** ****Reinforced Concrete Tall Buildings (3-0)3**

Introduction. Lateral resisting elements and systems. Considerations for system configuration. Vertical load resisting elements. Loads to be considered in tall buildings. Second order effect. Preliminary design. Approximate analysis of plane systems and space frames. Free vibration frequencies of structural systems. Modal analysis. Ductility. Foundations. Soil-structure interaction. Design of structural systems. Constructional principles.

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**0501717 Water Supply (3-0)3**

Introduction. Importance of water supply and sewerage systems. Water resources. Stages of water from the source to the disposal of the waste water. Water demand. Methods of water diversion. Storage of water. Intake types. Physical, chemical and biological treatment of raw water. Settling pools and filters. Typical problems encountered in supply lines. Main elements of supply lines. Computation of rainwater drainage systems. Computation of wastewater(sewerage) systems. Treatment and disposal of wastewater.

**050171****8 ****Hydrologic Analysis and Design (3-0)3**

Systems approach in hydrology. Modelling of hydrologic systems, basic equations. Linear systems, rainfall-runoff models. Unit hydrograph, computer applications. Flood routing by hydrologic models. Application of statistical methods in hydrology. Hydrologic processes. Modelling of streamflow series. Flood frequency analysis, regional flood analysis. Risk analysis in hydrology. Design rainfall and design flow. Introduction to reservoir hydrology.

**4th year / Spring semester (8th semester)**

**050180****2**** Graduation Thesis (0-4)2**

Preparation of a detailed project in a given engineering topic.

**0501803**** ****Engineering Economy (2-0)2**

Concepts of economy, basic economical problems of community, general outlook of market mechanism, working of price mechanism, full competition market, demand and supply, determination of market price, demand theory and consumer balance, manufacturing theory and firm balance, production cost, income of firms, balance of firms in various markets.

**0501804**** ****City Planning (3-0)3**

Definition of city and city planning. Knowledge about ancient cities. Preliminary studies on a city planning. General knowledge about city planning. Historical buildings, areas to be protected and green areas.

**0501805**** ****Construction Planning and Organisation (2-2)3**

Definitions concerning construction work, construction preparation and specifications, cost analyses, measurement of quantities and first survey, types of bidding, construction site organisation and work programs, controlling services in construction, books kept in site, progress reports, final survey and final payment, temporary and final acceptance, public improvement law and regulations, safety measures in construction sites, an application of measurement of quantities and survey.

**0501811**** **** Earthquake Resistant Structures (3-0)3**

Introduction to design of earthquake resistant structures, Specification about structures to be constucted in disaster areas, Equivalent lateral load method, Spectral concepts, Spectrum analyses, Mode superposition methods, Solution by the method of time history, Effects of properties of construction materials to earthquake resistance, Earthquake terms, Concepts of intensity and magnitude, Rules to be followed in architectural projects, Earhquake damages in reinforced concrete and steel structures.

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**Technical Elective Courses (8th Semester) :**

**0501806**** **** Reinforced Concrete III and Project (3-0)3**

Membrane analysis of rotational shells. Silos. Water reservoirs. Bending analysis of cylindrical shells. Construction principles of shells. Bridges. General considerations of plates, beams and arch bridges.

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**050180****7 ****Steel Structures II (3-0)3**

Columns: column connections, column footings, column footings working in uniaxial compression, hinged footings of frame columns, fixed footings of columns, anchorage of column footings to foundation, installation anchorages, anchorages transmitting tension forces, beam-column connections (frame joints or nodes), welded beam, rigid beam column connections. Direct frame joints, rounded frame joints, bolted connections of beam - columns, high strength bolted connections, computation of steel built-up beams with respect to torsional loadings, steel tall buildings, steel bridge systems.

**0501808**** ****Hydraulics Structures II (3-0)3**

General description of the dams, water supply from dams, derivation tunnels, spillways and operational units, precipitation pools, underground water and its structures.

**0501809**** ****Sediment Transport in Rivers (3-0)3**

Introduction to motion of solid matter in rivers, criteria for river bed erosion; channel design according to base load, suspended load and total load; transportation of solid matter from the river bank; modelling; flow of liquid-solid mixtures in pipes, rules of water transportation.

**0501810**** ****Water Resources Engineering II (3-0)3**

Dams, Reservoirs, Diversion weirs and gates, Intake structures, Energy dissipators. Hydroelectric power, Hydrostatics in groundwater Hydrodynamics in groundwater flow Basic equations of groundwater flow.

**050181****2 ****Prestressed**** Concrete (3-0)3**

Materials. Prestressing techniques. Types of structural systems. Loss of stresses. Design principles. Loading conditions. Allowable stresses. Design of sections under bending moment. General principles. Design of post and pretensioned structural systems. Behavior of a statically determinate prestressed beam. Limit design. Shear strength. Behavior under service loads. Continuous statically indeterminate structures. Anchor sections. Constructional principles.

**050181****3**** **** ****Road and Rail Substructures (3-0)3**

Introduction, slope stability, of cuts and fills, surface and subsurface drainage, masonry materials, masonry retaining walls, protection of cut-and-fill slopes against surface-water erosion gutters spillways ripraps grass, snow and avalanche sheltering structures, snowsheds, snow fences, runoff rates to be expected, culverts, types, sizes of openings, pipes, concrete box and stone masonry arch culverts, general design features, siphons.

**050181****4**** **** ****Hydroelectric Power Plants (3-0)3**

Fundamentals, power and energy. Power and energy requirements of networks. Classification of hydroelectric plants, run-of-river, storage, pumped-storage plants. Regulation. Spillways, sluiceways, side-flow weirs. Settling basins. Design of conduits. Design of free-surface and pressure conduits. Headwater ponds and surge chambers. Penstocks and water hammer. Supports and anchors of penstocks. Turbines.

**050181****5**** ****Multi - Storey Steel Structures (3-0)3**

History. Material characteristics. Structural properties of high-rise multi-story buildings. Selection of an economical structure. Gravitational, meteorological and earthquake loads. Global stability. Lateral rigidity and its effects on dimensioning. Impact loads. Fire safety.

**050181****6**** ****Dams (3-0)3**

Planning of dams. Design principles of gravity dams. Stability and stress analysis. Types of arch dams, design principles, approximate stress analysis. Types of buttress dams, design principles, stability and stress analysis of buttresses. Construction principles of concrete dams. Types of earth-fill dams, design principles, seepage analysis, stability analysis, construction principles. Design of spillways.