COURSE UNIT TITLE

: MATRIX METHODS IN STRUCTURAL ENGINEERING

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ELECTIVE

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR HIKMET HÜSEYIN ÇATAL

Offered to

STRUCTURAL ENGINEERING
Structural Engineering
STRUCTURAL ENGINEERING

Course Objective

In this course, the linear- elastic structural systems of end displacements, forces, moments of members will be obtained by using matrix methods. These structures are referred to as continuous beams, planar frames, space frames, grids, planar trusses and space trusses. The two fundamental approaches to the analysis of these structural systems: the flexibility method and stiffness method. These methods developed and formulated for computer usage. Elementary matrix algebra is used for flexibility and stiffness methods in this course.

Learning Outcomes of the Course Unit

1   To give information about indeterminate structural systems.
2   To apply elementary matrix algebra to analysis methods of structural systems.
3   To compare the flexibility method with the stiffness method.
4   To define end forces, moments and displacements of members of the structural system.
5   To explain the structural behaviour of structural systems by using examples.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction, concept of indeterminate structural system,sing convention
2 Analysis of determined plane truss system by using static method
3 Analysis of indetremined plane truss system by using matrice-force method
4 Coordinat transformation of plane truss systems
5 Global rigidity matrix of plane truss systems
6 Calculate of end forces and displacements of bar of indetermined plane truss systems by using matrix-displacement method.
7 Calculate of global rigidity matrix of space truss system
8 Calculate of end forces and displacements of bar ıf space truss systems by using matrice-displacement method
9 Global rigidity matrice of beams
10 Calculate of end forces and displacements of bar of beams ssytems by using matrice-displacement nethod.
11 Calculate of global rigidity matrice of plane frame
12 Calculate of end force and displacements of bar plane frame systems by using matrice-displacements method
13 Calculate of global rigidity matrice of space frame systems
14 Calculate of end forces and displacenments of bar space frame systems by using natrice-displacement methods

Recomended or Required Reading

Text books:
1.) Çatal H.H., Yapı ve deprem mühendisliğinde matris yöntemler,DEÜ.Mühendislik Fakültesi yayınları, Yayın No:294,Izmir,2002.
2.)Çakıroğlu A.,Yapı sistemlerinin hesabı için matris metotları Cilt:1, Istanbul Teknik Üniversitesi Kütüphanesi,Sayı:813,Istanbul,1970.
3.)Çakıroğlu,A., Yapı sistemlerinin hesabı için matris metotları Cilt:2, Istanbul Teknik Üniversitesi Kütüphanesi, Sayı:1474,Istanbul,1992.

Supplementary Books:
1.)Terzcan,S.,Çubuk sistemlerin elektronik hesap makinaları ile çözümü,Istanbul,1970.

Planned Learning Activities and Teaching Methods

One mid-term examinations will be executed at the 8 th week. Two homeworks will be prepared in the scope of the course. These homeworks are in the form of analysis and will be delivered in teh form of detalied presentations.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE MTE * 0.50 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

LO1-LO5:All learning outcomes are evaluated by written questions of midterm and final examinations
LO3-LO5: are considered with the homework reports that will be delivered by the students.

Language of Instruction

Turkish

Course Policies and Rules

Attendance is important.Continuity of performance in the homework that will be delivered is followed by the faculty member.

Contact Details for the Lecturer(s)

Professor Hikmet Hüseyin Çatal
e-mail:huseyin.catal@deu.edu.tr

Office Hours

Instructor office hours are declared by insructor.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Preparations before/after weekly lectures 14 8 112
Preparation for midterm exam 2 14 28
Preparation for final exam 1 26 26
Final 1 3 3
Midterm 2 3 6
TOTAL WORKLOAD (hours) 217

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.1543
LO.245
LO.3543
LO.454
LO.5543