Study Plan

Definitions of the Programme
Master students are suggested to take their graduate courses (seven graduate courses, seminar and thesis study yielding 120 ECTS in total) in the first 2 or 3 semesters of their graduate studies without a strict defined course number per each semester. Seminar and thesis studies are delivered normally in the third and the fourth semesters of their master studies, respectively.

Students are encouraged to take courses on different specializations of Civil Engineering in order to have a broader vision during their master studies. After completion of their courses, student focuses on one of main branches of studies in Civil Engineering and prepare his/her master thesis on a specialized topic with the guidance of his/her supervisor. These main branches of studies are as follows: Structural Engineering, Materials of Construction, Geotechnical Engineering, Hydraulics Engineering, Transportation Engineering and Construction Management.

Subject Local Credit ECTS CREDIT
SEMESTER 1 Course 1 3 8
Course 2 3 8
Course 3 3 8
SEMESTER 2 Course 4 3 8
Course 5 3 8
SEMESTER 3 Course 6 3 8
Course 7 3 8
Seminar 10
SEMESTER 4 Thesis 54

Note:The courses are to be selected from the available courses in the department. The list of potential graduıate courses that can be offered in each semester is provided blove.

CE 505 Mathematical Methods in Engineering
Review of matrix algebra and calculus of variations, formulation of second and fourth – order boundary value problems, Numerically integrated elements, Eigenvalue and time dependent problems, ordinary differential equations. Series solutions of linear ordinary differential equations, gamma, bessel, hermite, laguerre, legendre flinctions, second order linear partial differential equations, fourier series and fourier integral.

CE 523 Theory of Plates
Introduction. Theory of thin elastic plates (Kirchhoff theory), basic assumptions, strain- displacement relations, plate equation, boundary conditions, strain energy, rectangular plates. Navier and Levy type solutions, rectangular plates with various boundary conditions, plate strips. Circular plates, energy methods. Ritz and Galerkin method, method of least squares, plates with various shapes, continuous rectangular plates, plates resting on elastic foundations, bending of anisotropic plates. numerical methods, finite difference, finite element and boundary element method. Effect of transverse shear deformation on the bending of thin plates, large deflections of plates, vibrations of plates, buckling of plates.

CE 524 Theory of Shells
Differential geometry of surfaces and curves. Theory of thin elastic shells. Basic assumptions, strain displacement relations, differential equations of equilibrium. Boundary conditions, strain energy, membrane theory of shells. Displacements and deformations of shells without bending resistance, shells with bending resistance. Spherical and cylindrical shells, shells with various shape, shallow shells. Approximate analysis of shells. Energy methods, Ritz and Galerkin method. Numerical analysis of shells, finite difference and finite element method. Dynamic analysis of shells .

CE 525 Theory of Elasticity
The state of stress and strain in plate. Stress-strain relations. Hooke constants for orthotropic and isotropic plates. General equations of plate. Stress and displacement problems in long cylinder. General equations of long cylinder. Airy stress function. Polynomial solutions. Fourier series solutions. Finite-difference solutions. Solutions in polar coordinates. Hole and notch problems in plate. Solutions in curvilinear coordinates.

CE526 Matrix Methods for Structural Systems
Matrix methods of structural analysis in two and three dimensional bar structures. Stiffness properties of plane trusses, plane frames, grids, space trusses and space frames. Study of computer programming techniques. Applications to selected problems. Matrix displacement method.

CE 527 Fracture Mechanics
Mechanisms of failure for brittle and ductile materials. Stress concentration. Elastic stress fields around cracks. Plasticity effect. Fracture criteria. Crack propagation and methods of crack at rest. Fatigue. Fracture testing.

CE528 Thin Walled Structures
Some basic ideas of structural theory. First-order theory for bending and torsion of thin- walled beams, governing equations obtained by the equilibrium. Compatibility method, energy method for setting up governing equations. Applications of the theory of thin-walled structures to bending and lateral buckling of beams and flexural torsional buckling of columns. Bending and twisting of prismatic beams, warping torsion of continuous beams, flexural torsional buckling of columns, lateral buckling of beams.

CE529 Advanced Strength of Materials
(Course Outline)
Space stresses and position of deformation. Torsion of Saint Venant, analogy of mambran. Non uniform torsion. Bending of curved beam. Non elastic bending of beams. Relation between shearing force and elastic curve. Variable section beams. Concentric longitudinal force case of indeterminate to the second degree theory. Deformation work. Principles of complementary energy, Ritz method. Elasto-kinetic.

CE 531 Mechanics of Composite Materials
The nature and scope of composite materials. Fundamental aspects of the theory of the linear an isotropic elasticity. Prediction of macroscopic mechanical properties of composite materials. Analysis of internal fields in heterogeneous medium. Wave propagation and dynamics effects in composites. Effective stiffness theory considerations, lattice model representations.

CE 533 Advanced Building and Construction Management
(Course Outline)
Apply and evaluating the local building codes and standards to the construction process.Legal obligations of a building or construction contract as well as how and where to get all the necessary permissions to obtain the building permit. Virtual construction stage; where the student virtually constructs a building from the very beginning up to getting the resident permit and final approval from the local municipality.

CE 534 Theory of Elastic Stability
Stability concept and definitions. Solution methods. Buckling of a linear bar. Buckling analysis of bars by using method of neutral equilibrium. Buckling criteria. The critical load of the Euler column. Method of Empirical formulas. Buckling problems. Buckling load of column with variable cross section. Eccentrically loaded columns. Lateral buckling. Buckling under combined loadings. Buckling of frames and arches. Definitions and types of linear and non-linear buckling.

CE535 Structural Dynamics
Dynamic loads. Dynamic characteristics of structural systems. Lumped parameter systems, free vibrations of single-degree-of-freedom systems (SDF). Damped vibrations, response of SDF systems to harmonic loading, to periodic loading, to general dynamic loading, Generalized SDF systems. Rayleigh method, vibration isolation. Multi-degree-of-freedom systems (MDS), equations of motions, undamped free vibrations of MDS. Free vibrations, orthogonality conditions, dynamic response, mode shapes, forced vibrations. Mode superposition analysis, numerical methods for determination of mode shapes and frequencies. Rayleigh method, systems with distributed parameters, equations of motion, axial, shear and bending vibrations, earthquake response of SDF systems. Response spectra, earthquake response of MDF systems. methods for modal combination, numerical methods.

CE 536 Energy Methods
Force fields. Work. Principles of variations, variational principles for discrete systems. Elements of the mechanics of continua. Hellinger, Reissner, and Hamilton principles. Castigliano’s theorem, theorems of
work and reciprocity. Application to elastic rods, structural systems, elastic plates and shells. Stability.

CE537 Finite Element Method
Introduction, general concepts. Summary of analysis procedure by a simple example. Truss analysis. Variational and weighted residual methods. The Ritz method, the Ritz and Rayleigh-Ritz FEM. General approach to structural analysis. Principal of minimum potential energy and virtual displacement methods. The shape functions, parameter functions, convergence requirements. One, two and three dimensional elements, axisyymetric elements. Stress analysis, plane stress and plain strain. Beam and frame elements, substricturing. Element rigidity and load matrices, a detailed application. Axisyymetric and 3D stress analysis. Bending of plates, a detailed numerical example.

CE538 Prestressed Concrete
Analysis of determinate cable structure members. Bending analysis of cable structure elements with constant height, and uniform section.. Differences between anchored structure and cable structure members, and calculus properties. Detail of prestressed bars in beam. Loss of stress due to friction of cable in prestressed structure members in time. Analysis of prestressed structure members against shear force. Comparisons of with partial prestressed concrete and prestressed concrete.

CE539 Industrial Steel Structures
Rigid beam-column connections in frames. Directly welded beam-column connections and welded rigid beam-column connections with plate. Construction and calculation of R and Castellated beams. Steel hall structures. General Knowledge; static structures, transportation (carrying) vehicle, special purpose halls, forming walls, roof additional. Cranes, codes, rails crane beams. Stability controls. Light constructions, usage instructions, calculation bases.

CE540 Numerical Analysis in Structural Engineering
Finite differences method. Finite elements method. Interpolations of Langrange, Newton, Hermite. Mistakes in structural engineering. Eigenvalue problems in structural dynamics. Linear and nonlinear equation systems and differential equations and solutions. Boundary value problems. Variation analysis. Other applications in structural engineering.

CE541 Repairing and Strengthening of Structures
Techniques and reasons for repairing and strengthening of structures. Repairing and strengthening of reinforced concrete structures. Groups of repairing and strengthening. Necessary works to be made on the earthquake area, and urgent precautions. Materials and techniques used. Determination of level of repairing and strengthening and techniques. Some examples related to repairing and strengthening of reinforced concrete structures. Strengthening of structures adding new structural elements.

CE 542 Concrete Durability
Definition of concrete durability. Principal durability problems in concrete: Leaching, carbonation, alkali-aggregate reactions, sulfate attack mechanisms, acid attacks, corrosion of reinforcements and its effects on concrete, freezing-thawing and abrasion problems. Chemical and physical effects of aforementioned problems on concrete, testing methods and protection techniques.

CE543 Cementitious Materials:
Historical uses of gypsum and lime as cementitious materials. Manufacture and properties of contemporary PC types. Natural Pozzolans, Fly ash, Silicafume, Gound Granulated Blast-Furnace Slag and their cementitious properties, their interactions in cementitious media. Effects of these cementitious materials on fresh & hardened concrete and on long-term durability of concrete.

CE 544 Advanced Concrete Technologv
(Course Outline)
Understanding fundamentals of cement chemistry: different clinker compositions and cement hydration reactions. Significance of each cement hydration product and formation of concrete micro- structure. Properties of different cement types. Effects of natural and artificial pozzolans on cement hydration and concrete properties. Chemical and physical effects of admixtures on concrete performance. Effects of aggregate characteristics on fresh and hardened concrete. Introduction to the fundamentals of manufacture of special concretes.

CE 545 Behaviour of Reinforced Concrete Members and Structures
Failure patterns of reinforced concrete members and structures, and ultimate load theories. A critical look at various design specifications with emphasis on research results. Review of theoretical and experimental research and their influence on reinforced concrete members and structures.Statical analysis of buildings. Behaviour and design of footings. Long and short column concept. Deep and shallow beam theory and design. Types of slabs and slab design. Concept of retaining wall design.

CE 547 Limit Analysis
Basic hypotheses. Simple cases of collapse. upper bounds, and lower bounds and unigueness theorems. Introduction to design, limit analysis of frames, and multi-storey buildings, grids. Displacement in beams and frames. Stability consideration. Notes on ultimate load analysis of reinforced concrete structures.

CE 548 Computer Aided Two Dimensional Structural Analysis
Introduction to computers. Moments distribution method. Fixed end moments and automated matrix displacement concept. Earthquake effects on buildings. Building design with earthquake concept and standards. Programming and analysis of two dimensional structures using basic language.

CE 549 Structural Use of Timber
Types of Timber. Timber behaviour, composition and potential usage. Compression, Tension, fatigue and impact strengths. Mechanical behaviour of timber. Structural design using timber.

CE 550 Experimental Studies in Structural Mechanics
Introduction. Importance and necessity of experimental studies in structural mechanics. Description of general lab. equipments. Routine and special experiments realised in structural lab. Designing and preparing of a test set-up. Terms of load, deformation and strain. Characteristics of mechanical and electronic measurement devices. Types of loading systems. Static and dynamic loadings. Recording of data.and evaluation of experimental results.

CE 551 Non-Linear Analysis of Structural Systems
Sources of nonlinearity. Nonlinear theory, modelling, analysis and design methods of materially and geometrically nonlinear structures. Elastoplastic theory, plastic section concept and applications. Second-order and large deformation theories. Stability and buckling. Performance based design, nonlinear static (Pushover) analysis, computer software and applications. Introduction to nonlinear dynamic analysis.

CE552 Theory of Yield Lines
Analysis of thin plates according to elasticity theory. Introduce to plastic analysis. Theory of yield lines. Analysis with static equilibrium method. Effect of single load and column. Superposition principle. Rectangular plates with and without beams. Alternative methods.

CE553 Earthquake Engineering
Earthquake mechanism, spectrum concept. Multi degree of freedom system, modal analysis in earthquake response. Earthquake resistant design, main philosophy of earthquake codes, earthquake codes and design criteria. Spectral analysis of structures and simplified approaches. Behavior of reinforced concrete structures subjected to earthquake ground motion. Plastic hinge concept, capacity concept in design, earthquake resistant design, safety to earthquakes, limit states. General behavior of structures, structural irregularities, design spectra, elastic equivalent earthquake load. Effect of earthquake load, acceleration spectrum. Ductility of structures, equivalent earthquake load. Modal superposition method. Structural systems, construction rules for reinforced concrete structures, story displacements. Design of base isolated structures, retaining walls.

CE554 Numerical and Constitutive Modelling for Reinforced Concrete
Examination of one, two and multi axial behaviors of concrete under tension and compression. Interfas behavior and crack occurring of concrete. Nonlinear elastic material models for concrete. Crack models for concrete. Failure mechanism models. Plasticity in concrete. Failure and yielding criterion for concrete. Computer programs SAP2000n, LUSAS, ANSYS and nonlinear analysis methods. Nonlinear finite element analysis for RC elements.

CE 555 Materials of Construction Laboratorv
Presentation of principal standard test methods on cement, aggregate and concrete properties. Usage of materials of construction laboratory equipments according to related standard methods. Exercises on concrete mix design, producing concrete samples, curing and storage, as well as performing mechanical tests on the produced samples.

CE556 Special Concretes
Properties, materials and manufacure of: ―(Ultra) High Performance Concrete‖, ―Self Compacting Concrete‖, ―Shotcrete‖, ―Transparent Concrete‖, ―Fiber Concrete‖, ―Aerated Concrete‖ and ―Under- water concrete‖ and their long-term performance.

CE 560 Geotechnical Investigation
Planning and executing subsurface explorations, exploratory holes and sampling. Field instrumentation, field measurement and in-situ testing. Geophysical methods. Interpretation of field data and selection of soil parameters for geotechnical designs. Case studies of predicted behaviour and performance of structures.

CE 566 Construction Site Planning & Construction Timetable Concept
Exploring the construction site. Construction site arrangements concepts. Lay outing, construction material stocking and supply. Time table concept and design. Directing the work force. Balance keeping with work force, construction materials and nature.

CE 568 Boundary Layer Flows
Preliminary concepts and fundamentals equations: solutions of Newtonian flows. Laminar boundary layers: stability and transition, turbulent boundary layers.

CE 569 Turbulent Flows
Stability theory and transition, Reynolds equations, physical structure of turbulent boundary layer, turbulent pipe and channel flow, analysis of flat plate integral analysis, jets, wakes, free-shear layers, turbulence modeling, isotropic, energy spectra, correlations, measurement methods, hot wire and LDV systems.

CE 570 Statistics in Hydrology & Water Resources
(Course Outline)
Probability distribution used in Hydrology. Analytical and numerical solutions of hydrologic models. Linear and multiple regression analysis.

CE 571 Advanced Mechanics of Fluids
Fundamentals equations, flow kinematics and special forms of governing equations. Potential flow, Viscous flow of incompressible fluids. compressible flow of inviscid fluids.

CE 572 Hydraulic Svstem Design I
Fundamentals of open channel flow, Steady and unsteady non-uniform flow computation and analysis in open channel systems Hydraulic analysis and design of controls for free surface.

CE 573 Water Resources System Engineering I
System analysis; Concepts, terminology, phases. System approach to solving Water Resources problem. The nature and the objectives of Water Resources systems. General review of optimisation techniques. flindamentals of linear programming. Classical optimisation methods. Computer applications and case studies in Water Resources engineering.

CE 574 Sediment Transport
Principles of upland erosion and reservoir sedimentation. Sediment transport phenomena in free surface flow, scour criteria, bed load, suspension and total load theories. Optimal design of earth channels.

CE 575Advanced Hydrology
System approach to the hydrologic cycle. Deterministic treatments of catchment behaviour. Statistical models in hydrology. Presentation of advanced topics in hydrology.

CE 576 Hydropower in Engineering
Reservoir operation studies, water storage capacities, Load curve. Power generation and storage. Pumps and turbines. Hydropower plants in multi-sectorial plans.

CE 577 Groundwater Engineering
The occurrence, sources, distribution and movement of groundwater. Aquifer types, differential equations of confined and unconfined aquifer. Well hydraulics, graphical, analytical, numerical and experimental solution of groundwater flow. Groundwater investigation wells, well drilling. Construction and operation. Salt water intrusion.

CE 578 Irrigation and Drainage Engineering
Introduction to irrigation methods and practices. Surface and subsurface sprinkler and trickle irrigation. Comparison of irrigation systems. Capacity determination of irrigation projects; demand, rotation, continuos flow and unit area – unit water systems. Irrigation networks; open channels, pipes, canalets (flumes) and sprinkler. Drainage networks; open drains and tile drains. Capacity of drainage networks. Irrigation structures. Operation and maintenance of irrigation projects.

CE 579 Soil and Water Conservation Engineering
Soil erosion principles. Soil loss equations. Wind erosion control. Countering, terracing and conservation structures. Earth embankments. Head water and flood control. Open channels. Farm ponds and small reservoir design.

CE 580 Computer Application for Design of Water Distribution Networks
Introduction. Water distribution systems Hydraulic design of water distribution system. Computer programs by micro-computers.

CE 581 Unit Operations in Environmental Engineering
Clean – up of water and waste – water by physical, chemical or biological techniques. Sedimentation, coagulation and flocculation, screening, filtration by membrane technology, ion – removed precipitation, ion – exchange, adsorption air – stripping, biological processes (Single or hybrid systems), batch and continuous culture systems, aerobic and anaerobic digestion.

CE 582 Environmental Chemistry
Significance of environmental chemistry, environmental chemistry of atmosphere, biosphere and lithosphere. Nature and composition of natural waters. Application of environmental chemistry to wastewater analysis and studies related to receiving water bodies and pollution. Redox, homogeneous and heterogeneous equilibria and complex formation processes in environmental systems and pollution control. Acidity, alkalinity, DO, BOD, total hardness.

CE 588 Seminer II 
Seminar ‖ presentation mainly involves the thesis proposal emphasizing problem statement, objectives and the outlines of methodology to be used throughout the defined graduate study. Assigned jury evaluates the performance of the student on the defined aspects of the study and provides constructive criticisms to be used by the student in his thesis studies.

CE598 Thesis II
Thesis ‖ defense involves the presentation of the thesis work carried out by the student; results obtained by the developed methodology for the problem stated in the seminar presentation is discussed extensively and conclusions are drawn at the end of the thesis study by the graduate student. Assigned jury evaluates the work carried out and presented by the graduate student during the defense.

CE522 Advanced Steel Structures Design
Review of Steel StructuresDesign.Plastic analysis of beams, continuous beams and frames.Plastic design of beams and frames. Design of composite sections.Plate girders and connections.Steel structural design considering effects of torsion and combined bending and axial load. Design of steel frames considering seismic loads. Design of water tanks.Steel design emphasizing ASD and LRFD methods.

CE532 Construction Scheduling
Introduction to Planning and Scheduling. The project activities and their relationships in network format.The components of project controls (Estimating, Planning and Scheduling, Cost and Resource Management). Techniques for developing hierarchical organizational, resource, and work breakdown structures. Schedule Presentations: Bar Charts, Network & Logic Diagrams. Critical Path Method (AOA/ADM). Precedence Method (AON/PDM). Network Calculations(forward pass and backward pass). Work Break down structure & organizational Breakdown structure. Analysisof networks (A-O-A and A-O-N) to determine project duration and critical path. The resource leveling and allocation.The practical usage of construction schedules.Use of computer-based project planning and scheduling software.Create Network diagram by Excel Network diagrams calculations considering free float and total float. The project life cycle and the ―top-down management process.Organized work breakdown structures.The foundation of CPM scheduling.The basis for project controls through the use of resource and cost loaded Critical Path Method (CPM) schedules. The use of scheduling software for creating/maintaining CPM schedules. Creation and maintenance of computerized CPM schedules, Fundamentals and application of Program Evaluation and Review Technique (PERT).Fundamentals and application of Crashing in construction projects.

CE530 Legal Aspects in Construction Management
Introduction to legal aspects in construction management. Different types of contracts for different parties involved in the projects (Client, Contractor, Consultant, Supervisor and Certifying Authorities), Turn-Key Projects contracts, EPC and EPCI projects contracts, Lump Sum Price Contracts, Cost-Plus Fee Contracts, Unit Rate Contracts. Scope of Work of projects. Deliverables and required documents (General conditions, Particular Conditions, Drawings, technical Specifications, Fabrication Procedures, Coordination Procedures) for a bid and a contract. The different stages of the Bid Process. Contracting Process. Procurement Process (contracting with suppliers, testing, shipment, insurances and commissioning). Overheads, insurances and taxes on a project. Review of the articles of FIDIC, EPC Projects by reviewing some real cases of big projects.