GRADUATE PROGRAM

**Master Program (MSc)**

The instruction language of the MSc Program courses is English. There are two types of MSc studies in Civil Engineering that are namely the MSc with thesis and the non-thesis MSc. The MSc study fields in civil engineering are mechanics, structure, hydraulics, geotechnique, and material science. The MSc applicants take a written exam and an oral exam. The dates of these exams are determine and announced by the Directorate of the Institute of Natural Sciences. The written exam consists of Parts A (mathematics), B (structure), C (mechanics), D (geotechnique), E (hydraulics), and F (material science). An MSc student has to answer the questions in part A, and the questions in only one part (chosen or preferred by the student considering his/her MSc study field of interest) among the parts B, C, D, E and F. The MSc applicants or candidates should have bachelor’s degree (BSc) in civil engineering of a university accredited by YÖK. The students having BSc in an another engineering field other than civil engineering are required to take some additional undergraduate courses [specified in accordance with the suggestion(s) of the examining committee or advisor(s) of the student(s)] whose credits are not to be taken into account in the MSc study.

A non-thesis MSc student must successfully complete minimum total of 30 credits from courses (10 courses) in addition to the non-credit “CE 592 Graduate Project in Civil Engineering”, and non-credit “RME 500 Research Methods and Ethics” courses. A non-thesis MSc student takes the course “CE 592 Graduate Project in Civil Engineering” in his/her last semester.

An MSc student with thesis must register for the non-credit “CE 591 Special Studies (Özel Kapsamlı Ders)” course (offered by his/her advisor) every semester after the student starts (registers for) “CE 599 Master of Science Thesis in Civil Engineering”. An MSc student registers for the courses suggested by his/her advisor. Until the appointment of an advisor, an MSc student registers for the courses in accordance with the advices of the Head of Civil Engineering Department who temporarily conducts advisory-duties throughout the first semester of the student. (The Head of Civil Engineering Department may ask the opinion of the instructor likely to be the advisor at the end of the first semester)

Both the MSc with thesis, and non-thesis MSc students can take CE 5XX coded MSc Program courses listed below as well as the CE 6XX coded elective courses in the Doctorate (PhD) program. Besides, in accordance with the suggestion of the advisor, an MSc student may also take undergraduate credited technical courses (that the student has not taken in his/her BSc study in the past), preferably technical elective courses whose total number cannot exceed 1/3 of the minimum total credits (21 credits for MSc with thesis; 30 credits for non-thesis MSc) required for an MSc student.

**Elective Courses**

Code |
Course Title |
T+U Credit |
---|---|---|

CE 521 | Theory of Elasticity | (3+0) 3 |

CE 522 | Theory of Elastic Stability | (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 574 | River Mechanics | (3+0) 3 |

CE 585 | Advanced Steel Design | (3+0) 3 |

CE 587 | Fundamentals of Earthquake Engineering | (3+0) 3 |

CE 588 | Performance Based Seismic Design | (3+0) 3 |

**Compulsary Courses**

Code |
Course Title |
T+U Credit |
---|---|---|

CE 590 | Graduate Seminar in Civil Engineering (MSc with thesis option) | (0+0) 0 |

CE 591 | Special studies (MSc with thesis option) | (0+0) 0 |

CE 592 | Graduate Project in Civil Engineering (only for non-thesis option) | (0+0) 0 |

CE 599 | Master of Science Thesis in Civil Engineering (MSc with thesis option) | (0+0) 0 |

RME 500 | Research Methods and Ethics | (0+0) 0 |

CE 501 | Analytic Methods in Civil Engineering | (3+0) 3 |

CE 502 | Advanced Numerical Methods in Civil Engineering | (3+0) 3 |

**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.

CE 502 Advanced Numerical Methods in Civil Engineering (3+0)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 Elastic Stability (3+0)3

Fundamentals of elastic stability. Mathematical models of stability. Analytic and energy methods of stability analysis. Stability of elastic columns and stability of frames. Lateral buckling of beam-columns. Torsional buckling of columns. Numerical solution of stability problems. Stability of structural members beyond the elastic limit. Buckling of plates. Buckling of shells.

CE 541 Advanced Concrete Materials (3+0)3

Cement, aggregates and admixtures for concrete, properties of concrete in fresh and hardened state, types and various aspects of concrete, durability characteristics of concrete, 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

This course covers the following topics: Seismic hazards, basic concepts in earthquake engineering, earthquake design codes, soil behaviour under dynamic loading, soil liquefaction, consequences of soil liquefaction, cyclic softening of clays, mitigation measures to minimize adverse effects of seismic risks, site response analysis, behaviour of soil slopes and earth retaining structures to seismic loading and dynamic soil-structure interaction.

CE 571 Design of Hydraulic Structures (3+0)3

The course covers the following topics; flow measurement, hydraulic structures, water intakes and trash racks, gates, settling basins, bottom outlets, spillways, hydraulic energy dissipaters, and fish passage structures.

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.

CE 574 River Mechanics (3+0)3

Properties of water and sediment, river basins, surface runoff, upland erosion losses, sediment source and yield, steady nonuniform river flow, sediment transport in rivers, river flood routing, river equilibrium, channel stability, bars in alluvial rivers, river meandering, lateral river mitigation, river dynamics, river bed degradation and aggradation, river stabilization, river bank protection, river control structures, dredging, physical river models.

CE 585 Advanced Steel Design (3+0)3

This course examines the advanced topics in structural steel design. Specific topics of this course include bolted and welded beam-column connections, special connections, industrial buildings, built-up members, lateral framing systems for seismic design, load and resistance factor design, plastic analysis and overview of the failure mechanism.

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 focusing on performance, 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. It 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: Structural Analysis, Structural Dynamics or equivalent.

CE 590 Graduate Seminar in Civil Engineering (0+0)0

This course is for the MSc student with thesis. It covers the brief pre-study, preparation, presentation and discussion of the topic of the MSc thesis. At the end, the student gives a seminar open to the public.

CE 591 Special Studies (Özel Kapsamlı Ders) (0+0)0

This course is compulsory for the graduate students registered in Master Program with thesis and it is offered by the advisor of the student.

CE 592 Graduate Project in Civil Engineering (0+0)0

This course is compulsory for the graduate students registered in non-thesis Master Program. A non-thesis MSc student prepares a term project and presents it open to the public.

CE 599 Master of Science Thesis in Civil Engineering (0+0)0

This course covers the thesis study based on an independent research directed by the academic advisor of the MSc student with thesis.