COURSE UNIT TITLE

: MATRIX METHODS IN SHIP STRUCTURAL DESIGN

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
NAV 5036 MATRIX METHODS IN SHIP STRUCTURAL DESIGN ELECTIVE 2 0 0 7

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR GÖKDENIZ NEŞER

Offered to

NAVAL ARCHITECTURE
NAVAL ARCHITECTURE

Course Objective

This course aims at providing students with an in-depth look at energy and matrix methods as used for the analysis of, primarily, framed structures. Matrix methods are at the core of most modern structural analysis software packages specializing in framed structures. However, many of the concepts discussed in the context of framed structures have broader applicability, and allow one to form a foundation for more advanced courses in contemporary computational analysis methods.

Learning Outcomes of the Course Unit

1   It is expected that by the end of the course, students should be able to analyze any framed structure subjected to applied loads, temperature variations, initial strains, and/or support settlements using the direct stiffness method.
2   Students should be able to use competently any structural analysis software based on t he direct stiffness method, but also be capable of designing/developing their own software.
3   Students should develop an appreciation for the simplicity and structure of the methods involved in the analysis of framed structures, and be able to interpret the numerical results.
4   Students should explain the principles behind automated analysis of structures using large-scale commercial programs (e.g. ANSYS, SAP2000, etc.)

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction Review of classical methods
2 Kinematic and static indeteminacy
3 Slope-deflection method
4 Introduction to stiffness methods
5 The need for matrix algebra Review of matrices - linear algebra
6 Stiffness matrix - intoductory notes Partitioning
7 Midterm exam Global vs local coordinate systems Transformation matrix Member forces
8 The direct stiffness method-1 - Stiffness for truss members in 2D - Stiffness for beam elements in 2D
9 The direct stifness method-2 - Frames and internal hinges - Initial strains (axial, pre-cambering, fabrication errors)
10 The direct stiffness method-3 - Thermal effects - Mixed element problems - Support settlements and flexible supports - Condensation and partitioning
11 Class practizing - Introduction to ANSYS - Modelling and problem solving with ANSYS
12 The direct stifness method - 4 - Generalizations to 3D - Space trusses - element stiffness - Space frames - element stiffness - Grid structures
13 Energy principles -1 - Energy theorems * Principles of virtual displacements * Castigliano's first theorem * Principle of stationary potential energy
14 Energy principles - 2 - Complementary energy theorems * Principle of virtual forces * Castigliano's 2nd theorem * Principle of stationary complementary energy - Unifying concepts * Principles of virtual work * Maxwell - Betti

Recomended or Required Reading

There is no required textbook for the course; good references include:
- "Matrix Analysis of Framed Structures", W. Weaver, Jr. and James M. Gere, Van Nostrand Reinhold, 3rd edition, 1990
- "Fundamentals of Structural Analysis", Harry H. West and Louis F. Geschwinder, John Wiley & Sons, Inc., 2nd edition, 2002
- "Matrix Analysis of Structures", Aslam Kasimali, Brooks/Cole Publishing Company, 1999
- Ship Structural Design: A Rationally Based, Computer Aided Optimization Approach", Hughed O.W., The Society of Naval Architects and Marine Engineers (SNAME), New Jersey, 1988

Planned Learning Activities and Teaching Methods

This course is taught in a lecture, class presentation and discussion format. All class members are expected to attend both the lecture and seminar hours and take part in the discussion sessions. Besides the taught lecture, group presentations are to be prepared by the group assigned for that week and presented to a open discussion session.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.40 + FIN * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

By the end of the sementer, student should be able to:
- formulate the stiffness matrices of truss, beam, and frame elements.
- understand how the principles of virtual work relate to the direct stiffness method of structural analysis.
- use the direct stiffness method to find nodal displacement, member forces, and reactions in structural systems.
- determine the member forces in a structural system caused by temperature effects of foundation settlment.
These abilities will be controled by the written exam and report that may be asked as an extra circumtance.

Language of Instruction

English

Course Policies and Rules

Attendance: Students are required to attend every class. Attendance will be taken at the beginning of the each class. Plagiarism: Plagiarism will be reported to Academic Judiciary Board and can result in getting zero on the assignements / exams and failing course. Late assignement: All assignements are due at the beginning of the class. The extentions will not be garnted. Accommodations: Students are required to let the instructor know any special accommodation needed due to learning disabilities, medical needs, etc.

Contact Details for the Lecturer(s)

DEU Institute of Marine Sciences and Technology
Baku Blv. 100, Inciralti, (35340) Izmir
Phone: +90.232.278 5565, 278 6515
Fax: +90.232.278 5082

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Tutorials 14 2 28
Preparations before/after weekly lectures 14 2 28
Preparation for midterm exam 1 15 15
Preparation for final exam 1 15 15
Preparing presentations 2 10 20
Reading 5 5 25
Midterm 1 4 4
Final 1 4 4
TOTAL WORKLOAD (hours) 167

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.133242115212
LO.233322225555
LO.323232115444
LO.433242225555