COURSE UNIT TITLE

: THEORY OF ELASTIC STABILITY

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MEE 5008 THEORY OF ELASTIC STABILITY ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR EVREN MELTEM TOYGAR

Offered to

Mechanics
Mechanics
Mechanics

Course Objective

Beams subjected to axial compression and simultaneously supporting lateral loads are known as beam-columns When certain assumptions are made about the naturte of deformation of an elastic system during the change of configuration associated with the buckling mode,the elastic system may be approximated by suitable ansd adjustable parameters that are determined. When certain assumptions are made about the nature of the deformation of an elastic system during the change of configuration associated with neutral equilibrium (buckling mode), this elastic system may be approximated by one involving suitable and adjustable parameters or generalised oordinates which are to be determined in order that the neutral equilibrium conditions are fulfilled. This idea provides approximate methods which are very useful to the practical engineer; the best known of these methods are presented in this lecture, i.e. the Rayleigh coefficient, the Rayleigh-Ritz method, and the Galerkin method. An outline of some numerical methods, such as the Euler finite difference method and the finite element method, is also given.

Learning Outcomes of the Course Unit

1   In the elementary theory of bending, to give the relations of the stresses and deflections which are directly proportional to the applied loads.
2   Beams subjected to axial compression and simultaneously supporting lateral loads are known as beam-columns.
3   The Euler column are analysed with mahtematical modelling and boundary conditions to find the critical buckling loads
4   Theory of Energy Methods
5   To give the alternating numerical methods that is used to find the critical buckling loads different elastic systems
6   To compare the results of theoratical and numerical solutions by considering different engineering problems

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Differential Equations for Beam-Columns
2 Bending of a Beam-Column by Couples
3 Concepts of Stable Elastic Equilibrium
4 General Criteria for Elastic Stability
5 Buckling of Continuous Beams
6 The calculations of Selenderness Ratio
7 Buckling of a Bar with different boundary conditions
8 Lateral Buckling
9 Examination
10 Torsional Buckling
11 General Energy Methods Applied to Elastic Systems
12 Iterative Methods for Solving Stability Problems
13 Examination
14 Rayleigh Coefficient and Rayleigh-Ritz Method, and Galerkin Method

Recomended or Required Reading

1) Stephen P. TIMOSHENKO, James M. GERE 1961, Theory of Elastic Stability, McGraw-Hill Company,
2)

Planned Learning Activities and Teaching Methods

This course is taught in a lecture, class presentation, problem-session and discussion format. All students are expected to attend both the lecture and problem-session, discussion so they are also expected to solve on their own and submit homework in time.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE 1 MIDTERM EXAM 1
2 MTE 2 MIDTERM EXAM 2
3 ASG ASSIGNMENT
4 FIN FINAL EXAM
5 FCG FINAL COURSE GRADE MTE 1 * 0.20 + MTE 2 * 0.20 + ASG * 0.10 + FIN * 0.50
6 RST RESIT
7 FCGR FINAL COURSE GRADE (RESIT) MTE 1 * 0.20 + MTE 2 * 0.20 + ASG * 0.10 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

Optional

Language of Instruction

English

Course Policies and Rules

Optional

Contact Details for the Lecturer(s)

Doç.Dr. M.Evren TOYGAR, evren.toygar@deu.edu.tr
Dokuz Eylül University, Faculty of Engineering, Department of Mechanical Engineering
Phone: 0 232 301 92 25

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 3 36
Preparations before/after weekly lectures 12 5 60
Preparation for midterm exam 2 15 30
Preparation for final exam 1 20 20
Preparing assignments 4 10 40
Final 1 4 4
Midterm 2 5 10
TOTAL WORKLOAD (hours) 200

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.145
LO.25545
LO.34545
LO.45555
LO.55555
LO.65555