Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.


A Student 

-  understand the basic concept of Stability and its nature, Equilibrium paths, stable, unstable.

-  understand stability of Frame structures

 - understands the warping torsion and Saint-Venant torsion of thin-walled members.

 - is able to analyze general problems of torsion.

- knows and recognizes the energy-based stability analysis and initial imperfections of the structures.

- understands the basics for modeling the stability problems mathamatically.

- is able to solve in-plane buckling of plane frames and arches.

- recognizes the torsional and lateral buckling of thin-walled members

- is able to handle problems of bucling of plates and cylidrical shells.

Credits: 5

Schedule: 01.03.2021 - 18.04.2021

Teacher in charge (valid 01.08.2020-31.07.2022): Djebar Baroudi

Teacher in charge (applies in this implementation): Djebar Baroudi

Contact information for the course (valid 26.01.2021-21.12.2112):


Djebar BAROUDI,  Dr.
Allto University


       0.     Basic concepts
              Equilibrium, Stability
              The energy criterion of stability

  1.    Flexural buckling (nurjahdus)
  2.    Lateral-torsional buckling (kiepahdus)
  3.   Torsional buckling (vääntönurjahdus)
  4.   Buckling of thin plates
  5.   Buckling of shells (lommahdus)


List of the six homework and assignments to be done
during this course:

1:- Fundaments of Elastic Stability

2: - Flexural stability loss

3:  Lateral torsional, pure torsional and
combined flexural-torsional buckling

4 - Computational Stability Analysis. Application example: Lateral torsional
buckling & post-buckling

5 - Buckling of plates

6  - Buckling of shells
(only one exercise)



  • CHAI H. YOO &  SUNG C. LE .    STABILITY OF STRUCTURES - Principles and Applications, 2011 Elseviere-textbook (our course main textbook)

Additinal reading: (not compulsory)
  • S.P. Timoshenko & J.M. Gere.   Theory of Elastic Stability.  2nd Ed., 1985.  (Classical textbook)
  • Juha Paavola. Structural Stability.  
    Lecture note - 2018 (pdf in MyCourses) .       This is a must-read for
    those interrested in general and systematic energetic approach for
    elastic stability.
  • Structural Stability (Lecture notes by Prof Markku Tuomala, in Finish). This is a complete textbook with plenty of solved exercises.
  • Lecturer weekly provided additional material

Passing the course  

  • Having obtained from HW-assignements  >= 40% of compulsory points  togather with passing successfully the written exam.

  • when
    the written exam is
    successfully passed, then the homework points rise the examination grade (arvosana) at
    most by 1 grade if homework  points >= 2/3 of homework compulsory
    maximum points
  • There will be organised only two examinations

  • readings from
    textbook and the additional lecturer's pdf-material
  • doing weekly homework
    (probably five topics) student delivery: solutions
  • one computer
    analysis: linear buckling and post-buckling analysis: student delivery:
    solutions and report


The purpose of assignments is to train and deepen active learning. All
the cession of exercises are guided.



Djebar BAROUDI,  Dr.
Allto University

CEFR level (applies in this implementation):

Language of instruction and studies (valid 01.08.2020-31.07.2022):

Teaching language: English

Languages of study attainment: English


  • Valid 01.08.2020-31.07.2022:

    Basic concept of stability, its nature, equilibrium paths and critical points. 

    Stability criteria and the nature of an equilibrium path.

    Stability of Frame structures

    Warping torsion of thin-walled members.

    Energy-based stability analysis.

    Effect of initial imperfections.

    In-plane buckling of plane frames and arches.

    Torsional and lateral buckling of thin-walled members with open cross-section.

    Buckling of plates and cylindrical shells.

  • Applies in this implementation:

    Refer to details in MyCourses

Assessment Methods and Criteria
  • Valid 01.08.2020-31.07.2022:

    Lectures, home and reading assignments from course's textbook(s), quizes and final examination.

  • Valid 01.08.2020-31.07.2022:

    Lectures: 2 double-hours per week (24)

    Reading: 1 double-hours per week (12)

    Theoretical exercises: 2 double-hour per week (2x12)

    Theoretical home assignments: 10 hours per week (60)

    Final exam and preparation: 3 + 16 hours (20)


Study Material
  • Valid 01.08.2020-31.07.2022:

    Textbooks, lectures, student's personal notes, home assignments and additional supporting material.

Substitutes for Courses
  • Valid 01.08.2020-31.07.2022:

    Course CIV-E4100 Stability of Structures can be replaced by course Rak-54.3110 Stability of Structures.

    Course Rak-54.3110 Stability of Structures can be replaced by course CIV-E4100 Stability of Structures.

  • Valid 01.08.2020-31.07.2022:

    Basic courses of BSc level engineering mathematic, physics, computer science.

    Common studies courses CIV-E1060 Engineering Computation and Simulation,

    CIV-E1020 Mechanics of Beam and Frame Structures,

    CIV-E1050 Heat and Mass Transfer in Buildings as well as CIV-E1030 Fundamentals of Structural Design.

    Advanced studies course CIV-E4090 Mechanics of Plate and Shell Structures.

SDG: Sustainable Development Goals

    9 Industry, Innovation and Infrastructure