COURSE PROFILE

Course Number : CE304 / Course Title : Elastic Stability
Required / Elective : Elective / Pre-requisite : CE202, CE204
Catalog Description:. Elastic stability. Methods. Buckling of elastic bars. Euler cases. Frames. Conservative systems. Energy methods, Ritz Method. Transversal buckling. Plate buckling, Approximate methods. / Textbook / Required Material :

S.P.Timoshenko and J.M. Gere, Theory of Elastic Stability , Dover, New York, 2009.

Course Structure / Schedule : (3+0+0) 3 / 5 ECTS
Extended Description: Introduction to stability analysis. Discrete Models (rigid bars and springs); Concept of multiple equilibrium configurations for a given load level, geometric nonlinearities. Concept of pre-buckling conditions, pre-buckling configuration. Linear buckling analysis. Concepts of bifurcation, bifurcation point, symmetric bifurcation, asymmetric bifurcation. Use of energy principles to study stability, change in total potential energy. Concept of post-buckling. Use of dynamics to study stability. Use of dynamics to move from one equilibrium solution to another. Introduction to Variational Methods. Stability of Beams: Derivation of the governing differential equations and boundary conditions. Influence of boundary conditions. Pre-buckling conditions. Linear buckling analysis. Variational methods for continuum structural models. Approximate analyses by the Rayleigh-Ritz and Galerkin methods. Lateral Buckling of Beams, Applications to rigid discrete systems, beam-column, frames and plate buckling.
Design content: Lectures / Computer usage: ---
Course Outcomes: [relevant program outcomes in brackets]:
After the completion of this course, students should be able to:
1-  understand the concept of stability, [1]
2-  describe the elastic and plastic buckling behavior of beam and frames; [1,2,8]
3-  determine the buckling loads for simple columns and frames [1,10]
4-  understand the physical interpretation of buckling phenomena [1,10]
5-  have an understanding of the concept of “effective length” and its’ use in design [2]
Recommended reading :
1-  Z.P. Bazant and L. Cedolin , Stability of Structures: Elastic, Inelastic, Failure & Damage Theories, World Scientific, 2010.

2-  M. Ciarletta, D. Ieşan, Non-classical Elastic Solids, Longman, 1993.

3-  Alfutov, N. A., Stability of Elastic Structures, Springer Verlag, 2000.

4-  Allen, H. G., and Bulson, P.S., Background to Buckling, McGraw Hill Book Company, 1980.

5-  Chen, W. F., and Lui, E. M., Structural Stability: Theory and Implementation, Elsevier Science Publishing Co, Inc, 1987.

6-  Brush, D. O., and Almroth, B. O., Buckling of Bars, Plates and Shells, Mc Graw Hill Co., 1975.

7-  Structural Stability in Engineering Practice, Edited by Aljos Kollár, Taylor and Francis Group, 1999.

8-  George J. Simitses and Dewey H. Hodges, Fundamentals of Structural Stability, Butterworth-Heinemann, 2006.

Teaching Methods : Lectures, homework
Assessment Methods: [Related to course outcomes]
2 Midterm Exams [1, 2] (Average) 40%
Homework [1, 2, 3, 4, 5] (Average) 10%
3 Quiz (1,2,3) (Average) 10%
Final Exam [1] 40%
Student workload:
Preparatory study 40 hrs
Lectures, discussions 40 hrs
Homeworks 20 hrs
Take-home exams, final, 25 hrs
TOTAL ……………………………… 125 hrs = 25 x 5 ECTS
Prepared by : Esin Inan / Revision Date : 15/6/2012