1	Course Title:	ADVANCED MATRIX METHODS IN EARTHQUAKE ENGINEERING
2	Course Code:	INS5018
3	Type of Course:	Optional
4	Level of Course:	Third Cycle
5	Year of Study:	1
6	Semester:	2
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. M.ÖZGÜR YAYLI
16	Course Lecturers:	Doç. Dr. M. Özgür YAYLI
17	Contactinformation of the Course Coordinator:	bdeliktas@uludag.edu.tr 224 2900744 Uludağ Univ. Müh.Mim Fak. İnşaat Müh. Böl. Görükle, Bursa
18	Website:	http://insaat.uludag.edu.tr
19	Objective of the Course:	-Representation of equilibrium equations in matrix form in bearing elements and systems under various loads (static and dynamic loads) -Performing internal force, strain and displacement calculations of bearing elements and systems with matrix methods • To gain the ability to set up an algorithm to apply the matrix-displacement method for practical solution of bearing elements and systems under the effects of different forces and under different behavior patterns.
20	Contribution of the Course to Professional Development	• Ability to solve frame type building systems under static loads by matrix displacement method • Ability to perform free vibration analysis of load-bearing systems and establish an algorithm • Ability to apply the mode superposition method and set up an algorithm for automatic calculation

21

Learning Outcomes:

1 • Ability to solve frame type building systems under static loads by matrix displacement method; 2 • Ability to perform free vibration analysis of load-bearing systems and establish an algorithm ; 3 • Ability to apply the mode superposition method and set up an algorithm for automatic calculation;

22	Course Content:

Week	Theoretical	Practical
1	Introduction to matrix methods, purpose, definitions, basic matrix operations
2	Relations between edge forces and edge displacements in finite elements, changing axes
3	Direct matrix replacement method
4	Special supports, symmetrical systems, support transverse displacements, rods resting on elastic foundation, rods where second-order effects are taken into account, etc.
5	Two and three dimensional elements
6	Two and three dimensional elements (continued)
7	Calculation of nonlinear systems, Nonlinear systems in terms of material, nonlinear systems in terms of geometry change, Nonlinear systems in terms of material and geometry change
8	Calculation of structural systems according to dynamic external effects, equation of motion, free vibrations, harmonic forces, earthquake effects
9	Forced vibrations, numerical integration techniques
10	Free vibration analysis, calculation methods, properties of vibration modes
11	Superposition method of modes
12	Detailed examples of the application of the superposition method of modes
13	Unit force matrix, loading terms
14	Writing continuity equations in matrix power method and solution

23	Textbooks, References and/or Other Materials:	• Prof. Dr. Erkan Özer ve Prof.Dr. Faruk Karadoğan tarafından hazırlanan ders notları ( Course notes prepared by Prof. Dr. Erkan Özer and Prof.Dr. Faruk Karadoğan) • Çakıroğlu, A., Özden, E., Özmen, G. Yapı Sistemlerinin Hesabı İçin Matris Metotları ve Elektronik Hesap Makinesi Programları, Cilt I ve Cilt II, İTÜ Kütüphanesi, Sayı 1005, 1992. • Prezemieniecki, J.S. Theory of Matrix Structural Analysis, Dover Pub. ISBN 04866-49482,1985. • Bathe, K.J. Finite Element Procedures, Prentice-Hall, 1996. • Hart, G.C., Wong, K. Structural Dynamics for Structural Engineers, J.Wiley, 2000. • Meek, J.L. Matrix Structural Analysis, McGraw-Hill, ISBN 0070413169, 1971. • Clough, R.W., Penzien, J. Dynamics of Structures, McGraw-Hill, 1996.
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course	Understanding the principles of applied mathematics used in the course
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	14	4	56
Homeworks, Performances	0	3	42
Projects	14	1	14
Field Studies	0	0	0
Midtermexams	1	3	3
Others	14	1	14
Final Exams	1	3	3
Total WorkLoad			177
Total workload/ 30 hr			5,8
ECTS Credit of the Course			6

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 LO1 5 3 3 0 0 0 0 0 0 0 0 0 LO2 5 5 3 0 5 5 0 0 0 0 0 0 LO3 5 3 0 0 0 0 0 0 0 0 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High