GRADUATE PROGRAM

Master’s Program

Civil Engineering Master's Program consists of two different programs:
a. Thesis
b. Non-thesis

Both thesis and non-thesis programs include the following civil engineering divisions:
a. Mechanics
b. Structure
c. Hydraulics
d. Geotechnics
e. Construction Materials

By the consent of academic advisor, graduate student of the department can select his or her courses among the 4th year’s elective courses of undergraduate curriculum for the amount of credits not more than one third of required total course credits. A graduate student has to register the specialized filed course of his or her academic advisor for the each semester after academic advisor assignment. Prior to the assignment of academic advisor, determination of the courses to be registered for the student is performed by the related head of the department and after the advisor assignment, the courses are decided by the academic advisor.
Civil Engineering Master’s Program has two options; thesis and non-thesis. In both options, graduate student has to take CE 590 Graduate Seminar in Civil Engineering course for one time at one of the semesters except for the first semester that he or she has started to study.
In both options, in addition to the CE 590 Graduate Seminar in Civil Engineering, CE 591 Graduate Project in Civil Engineering and CE 599    Master of Science Thesis in Civil Engineering courses, it is compulsory to register at least two main courses of Mater’s Program curriculum.
In the Master’s Program with thesis, a total of at least 21 credit course load (7 courses with credit), CE 590 Graduate Seminar in Civil Engineering course and CE 599 Master of Science Thesis in Civil Engineering course are required to be completed with successfully. Each Master’s student in this option has to register CE 591 Graduate Project in Civil Engineering course at each semester as from the semester of which he or she starts to the thesis studies. The credit of this course is not taken into account in the 21 credit course load as explained above.
In the non-thesis Master’s Program, it is required to be completed successfully at least 30 credit course load (corresponds to 10 courses with credit), CE 590 Graduate Seminar in Civil Engineering and CE 591 Graduate Project in Civil Engineering courses.
The applicants for the Master’s Program need to have Bachelor’s degree taken from a University of whose equivalency in the field of civil engineering is recognized. The teaching language of Çankaya University is in English and applicants need to have the writing and speaking skills so as to follow the courses, to conduct individual research and to write a thesis.


Course List

The course list for the Master’s Program is given below

Course Code

Course Name

T+R   Credit

CE 501

Analytic Methods in Civil Engineering

(3+0)  3

CE 502

Advanced Numerical Methods in Civil Engineering

(3+0)  3

CE 521

Theory of Elasticity

(3+0)  3

CE 522

Theory of Plates

(3+0)  3

CE 541

Advanced Concrete Materials

(3+0)  3

CE 542

Advanced Materials of Construction

(3+0)  3

CE 561

Advanced Soil Mechanics (Soil Behaviour)

(3+0)  3

CE 562

Rock Mechanics              

(3+0)  3

CE 563

Introduction to Soil Dynamics

(3+0)  3

CE 564

Geotechnical Earthquake Engineering

(3+0)  3

CE 571

Design of Hydraulic Structures

(3+0)  3

CE 572

Fluvial Hydraulics                    

(3+0)  3

CE 587

Fundamentals of Earthquake Engineering

(3+0)  3

CE 588

Performance Based Seismic Design                     

(3+0)  3

The compulsory courses are given below:

Course Code

Course Name

T+R   Credit

CE 590

Graduate Seminar in Civil Engineering

(0+0)  0

CE 591

Graduate Project in Civil Engineering

(0+0)  0

CE 599

Master of Science Thesis in Civil Engineering

(0+0)  0

Course Contents

CE 501 Analytical Methods in Civil Engineering (3+0) 3
Ordinary differential equations (ODE). First-Order ODE. Higher-Order ODE. Solutions for ODE with constant coefficients. Solutions for ODE by reduction of order. Variation of parameters. Method of undetermined coefficients. Linear systems of ODE. Series solutions of linear ordinary differential equations. Method of Frobenious. Fourier series and Fourier integral. Partial differential equations. Boundary Conditions. Separation of variables. Non-homogeneity in partial differential equations (PDE) and boundary conditions (BCs). Time-independent non-homogeneity in PDE and BCs. Time-dependent non-homogeneity in PDE and BCs. Various applications in civil engineering.

CE 502 Advanced Numerical Methods in Civil Engineering (3+0)3
3 Error analysis. Types of errors. Review of numerical analysis (Solution of nonlinear system of equations. Solution of linear system of equations. Approximations of functions. Interpolation). Discrete least square approximations. Spline functions. Fourier approximations. Continuous Fourier series. Discrete Fourier transforms. Fourier integral and transform. Numerical differentiation and integration. Numerical solution of ordinary differential equations. Euler, Heun methods and Runge-Kutta-4 method. Solution of system of differential equations. Initial and boundary value problems. Shooting method. Finite difference methods. Eigenvalues and Eigenvectors. Various applications in Civil Engineering.

CE 521 Theory of Elasticity (3+0)3
Vector and tensor analysis. Use of summation convention. Kinematics of elastic bodies. Finite deformation, deformation gradient tensor and strain tensors. Conservation of linear and angular momenta in an elastic body. Cauchy stress tensor, principal stresses and other stress tensors. Differential equations of equilibrium. Constitutive equations of hyperelastic and linear elastic materials. Isotropic tensors and materials. Fourth order elasticity tensor. Navier and Beltrami-Michell equations. Introduction to wave propagation in elastic solids. Plane stress and plane strain. Two dimensional elasticity problems using rectangular and polar coordinates. Airy stress function and the compatibility equation. Stress concentrations. Torsion of noncircular members.

CE 522 Theory of Plates (3+0)3
Plate theories. The classical plate theory. Governing biharmonic equation. Boundary conditions. Bending Moments. Strain energy of plates. Two dimensional Fourier series. Analysis of rectangular plates. Navier’s Method and Levy’s Method. Governing biharmonic equation in polar coordinates. Analysis of circular plates. Equations of the theory of elasticity. Equations of classical plate theory. Axisymmetric plates. Buckling of plates. Orthotropic plates. Yield line theory of slabs. Approximate solutions. Solutions of plates using finite difference and finite element methods.

CE 541 Advanced Concrete Materials (3+0)3
Cement, aggregates and admixtures for concrete, properties of concrete in fresh and hardened state, microstructure and mechanical behaviour of concrete and its constitutients, types and various aspects of concrete, durability characteristics of concrete, the future of concrete studies and environmental aspects of concrete as a construction material.

CE 542 Advanced Materials of Construction (3+0)3
Mechanical and durability properties of construction materials, properties and microstructure of concrete in fresh and hardened state, microstructure, types and various aspects of steel, plastics and composites in construction, innovative materials of construction and the interaction of construction materials with the environment.

CE 561 Advanced Soil Mechanics (Soil Behaviour) (3+0)3
Soils are multiphase particulate materials involved in processes at various scales. This course will present a detailed study of soil properties with emphasis on interpretation of field and laboratory test data and their use in soft-ground construction engineering. Topics to be covered include: nature of soil; consolidation and secondary compression of soils; Effective Stress Principle; capillarity; soil suction; basic strength principles; stress-strain strength behavior of clays, emphasizing effects of sample disturbance, anisotropy, and strain rate; Mohr Circle; stress paths; elastic stress distribution; strength and compression of granular soils; engineering properties of compacted soils; and introduction to constitutive modeling in soils and special topics.

CE 562 Rock Mechanics (3+0)3
Rock mechanics is concerned with the engineering mechanics and the properties of rocks. This course will explore the nature of rocks and rock masses as construction, foundation, or engineering materials. Topics will tentatively cover: Physical properties of intact rocks; stresses and strains; thermal, hydraulic and mechanical properties of rocks and rock masses; applications of theory of elasticity in rock mechanics; discontinuities in rocks; in situ stresses and stress measurements; rock slope engineering and underground excavations in rock; visco-elastic properties of rocks.

CE 563 Introduction to Soil Dynamics (3+0)3
Review of fundamentals of theoretical soil dynamics: response of sliding block-on-plane to cyclic earthquake loads, application of theories of single degree-of-freedom (DOF) system, multiple DOF system and one-dimensional wave propagation. Fundamentals of cyclic soil behavior: stress-strain-pore water pressure behavior, shear moduli and damping, cyclic settlement and concept of volumetric cyclic threshold shear strain. Introduction to modeling of cyclic soil behavior.

CE 564 Geotechnical Earthquake Engineering (3+0)3
Analysis of earthquake-induced ground failure, including soil liquefaction, cyclic softening of clays, seismic compression, surface fault rupture, and seismic slope stability. Ground response effects on earthquake ground motions. Soil-structure interaction, including inertial and kinematic interaction.

CE 571 Design of Hydraulic Structures (3+0)3
The course covers the following topics; dimensional analysis, flow in open channels, boundary layer, turbulence, flow separation and hydrodynamic forces, weirs, critical regime flumes, labyrinth and piano key weirs, water intakes, spillways, hydraulic energy dissipaters, and fish passage structures. After succesful completion of the course, the students should be capable of understanding the fundamental ability to design open channels, weirs, citical regime flumes, water intakes, spillways, energy dissipaters, and fish passages.

CE 572 Fluvial Hydraulics (3+0)3
The course covers the following topics; river morphology and river response, basic concepts of hydraulics of open channels, properties of sediment, forms of bed roughness, resistance to flow, beginning of motion and design of stable channels, hydrologic analysis and sediment yield, analysis of the transport of sediments in open channels, application of sediment transport formulas, measurement of the sediment discharge of streams, scour mechanism, local scour at piers and abutments, protection of structures from local scour. After successful completion of the course, the students should be capable of understanding the of sediment transport phenomenon and scour mechanism and, will be able to apply them to solve practical engineering problems relating to the planning and design of hydraulic structures

 

CE 587 Fundamentals of Earthquake Engineering (3+0)3
Introduction to wave propagation in solid media, body and surface waves, reflection and refraction. Causes of earthquakes. A review of the seismicity of the earth with special reference to Turkey. Computation of response to lateral forces. Review of structural dynamics and response spectra. Methods for the analysis of multi-story structures subjected to earthquake motions. Design of reinforced concrete structures to resist earthquake forces; concepts of ductility and energy absorption. Review of earthquake design codes. Seismic upgrading of structures.

CE 588 Performance Based Seismic Design (3+0)3
The course surveys recent developments in the seismic design field, following the research in the US, Japan and Europe. Recently proposed practical design approaches in performance based seismic design are emphasized and will be validated by nonlinear dynamic analysis for structural systems. Design approaches will focus on the use of single-degree-of-freedom analogies such as equivalent linear systems or constant strength or constant ductility displacement modification factors. The course is designed for students in structural engineering with background in earthquake engineering and advanced structural dynamics. Students are required to have fundamental knowledge in the following subjects: Matrix Structural Analysis, Structural Dynamics, Earthquake Engineering.

CE 590 Graduate Seminar in Civil Engineering (0+0)0
In order to encourage the students for academic studies, this course covers presentation and discussion of the topics and studies in civil engineering by the professionals and/or the graduate students.

CE 591 Graduate Project in Civil Engineering (0+0)0
This course is compulsory for the graduate students registered in Master’s Program with thesis and it covers the studies related with the thesis.

CE 599 Master of Science Thesis in Civil Engineering (0+0)0
This course cover the study based on an independent research directed by the academic advisor and the study is approved by the head of department and academic advisor of the student. This course is for the students registered to Master’s Program with thesis

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