Osion kuvaus

  • Stabilty of Structures

     This course name is the stability of elastic structures.

    The following fundamental two questions are addressed:

      1)  Is the equilibrium stable or not?




    and


    2)  What type of post-buckling behaviour?


    The Figure bellow represent a post-buckling FE-analysis of an I-Beam loaded with a centric transversal tip-load        (Computation D. Baroudi, 2019)


    Content

           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)

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

    1.       week 1:- Fundaments of Elastic Stability

    2.       week 2: - Flexural stability loss

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

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

    5.       week 5 - Buckling of plates

    6.       week 6  - Buckling of shells (only one exercise)


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    Literature

    • CHAI H. YOO &  SUNG C. LE .    STABILITY OF STRUCTURES - Principles and Applications, 2011 Elsevier e-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

    Assignments
    • 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.

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    Lecturer

    Djebar BAROUDI,  Dr.
    Lecturer
    Allto University