COURSE UNIT TITLE

: ELASTIC STABILITY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
CIE 5005 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

STRUCTURAL ENGINEERING
Structural Engineering
STRUCTURAL ENGINEERING

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. Using this concept practical approximate methods can be derived and the methodsare presented in the lecture such as Rayleigh coefficient, The Rayleigh-Ritz Method, and Galerkin Method.

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   To analyze the Euler column with mahtematical modelling and boundary conditions and find the 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, giving the first assignment
2 Bending of a Beam-Column by Couples, collecting the first assignment
3 Concepts of Stable Elastic Equilibrium, giving the second assignment
4 General Criteria for Elastic Stability, collecting the second assignment
5 Bucling of Frames, giving the third assignment
6 Buckling of Continuous Beams, collecting the third assignment
7 Buckling of a Bar
8 Examination
9 General Methods for Assesing Critical Loads, giving the fourth assignment
10 Iterative Methods for Solving Stability Problems, collecting the forth assignment
11 General Energy Methods Applied to Elastic Systems
12 Rayleigh Coefficient and Rayleigh-Ritz Method
13 Examination
14 Galerkin Method and Numerical Methods

Recomended or Required Reading

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

Planned Learning Activities and Teaching Methods

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

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 PRJ PROJECT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.35 + PRJ * 0.15 + FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.35 + PRJ * 0.15 + RST * 0.50


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

There will be 2 miterms, averaged out grades for which will be 40 % of the overall success of the students. Presentation/homework will be 10% of the success of the student. Final exam will be 50 % of the resulting grade.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

evren.toygar@deu.edu.tr

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 4 48
Preparation for midterm exam 2 15 30
Preparation for final exam 1 20 20
Preparing assignments 4 10 40
Final 1 5 5
Midterm 2 5 10
TOTAL WORKLOAD (hours) 189

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11
LO.1555454454
LO.245555554
LO.3544444444
LO.45545555455
LO.555444445
LO.6544444444

CONTACT INFORMATION
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