CIV-E4100 - Stability of Structures D, 01.03.2021-18.04.2021
This course space end date is set to 18.04.2021 Search Courses: CIV-E4100
Reading assignments and lectures material 2020]
This course have a dense content and six weeks is short. Therefore, the
lectures will concentrate on the key topics and on the invariant fundaments
while illustrating all that through examples.
The student is encouraged to prepare for lectures and homework cessions,
at least, by doing the reading assignments on time from references [1] and [2],
below. You are working for yourself. Doing actively homework assignments will
help you to deepen and consolidate what you have learnt.
Please, do not concentrate to much on subjective workload-concept only
since “workload” is just the amount of personal time each one invests in
studying new skills and knowledge. Think that you are training to be among the
best ... engineers. "What we can gain?" is the correct question not
the price in hours. (of course, the work should be doable in six-seven week…
and it is)
D.B, 2020
Weekly reading assignments and additional free material from lectures
=======================================================
BEGIN WEEK 1-2 =======================================================
Week 1-2: [2] Chapter 1, from
1.1 till section 1.12.1 (the link
below in blue):
The fundaments of Elastic Stability
(I provide the pdf I have written. This stability key topics are missing in the course textbook!)
Week 1-2 topics
[PDF Slides] : Slides_Week1_2020_DBA.pdf --> https://mycourses.aalto.fi/pluginfile.php/1400622/mod_folder/intro/Luento_Week1_DBA_2020.pdf
The detailed content of the first lecture
- Introduction
- What is stability? Phenomenon, elastic stability
- Structural design and stability – some standards
- Basic concepts
- Equilibrium, equilibrium paths
- Critical points: bifurcation, limit point
- Stability of equilibrium (branches)
- Energy criteria of stability
- About post-buckling analysis
- Types of bifurcational instabilities
- Sensitivity to imperfections
- Illustrative examples
======================================================
You can also from e-textbook ----- read
Week 1-2: [1] Chapter 1: Buckling of columns ...
& especially, section 1.6: Introduction to calculus of variation (variaatiolaskenta)
Chapter 2: (only 2.1 --2.7) Energy Methods,
Principle of minimum Potential Energy
Stability criteria.,
Rayleigh-Ritz method, Rayleigh-quotient,
================================================================================= END WEEK 1-2 =================================================================================
Week 2 topics - Flexural buckling
[PDF Slides] : UPDATE 5.3.2019: https://mycourses.aalto.fi/pluginfile.php/1400622/mod_folder/intro/Slides_week_2__DBA_2020.pdf
Content for week 2:
% -----------------------------------------------------------
• Trefftz stability criteria
• General Energy criteria of stability
• Recall Finite deformations (strains)
• Flexural buckling
• Buckling of beam-column
• Timoshenko column
• Effects of imperfections
• Ayreton-Perry formula & Eurocode buckling curves
• Linear buckling analysis
• Post-buckling analysis
• Buckling of beam-column on elastic foundation
• Finite element method – a hand version for buckling analysis
% -------------------------------
You can also from e-textbook ----- read
Week 2: [1] Chapter 1 , 2, 3 and 4 About flexural buckling, energy principles ...
************************************************
WEEK 3 [BEGIN] =================================================================================
Week 3 topics - Buckling of beams having thin-walled open cross-sections
- Lateral torsional buckling (kiepahdus)
- torsional buckling (vääntönurjahdus)
- combined flexural-torsional buckling (avaruusnurjahdus)
[PDF lecturer's Slides updated] :
https://mycourses.aalto.fi/pluginfile.php/1400622/mod_folder/intro/Luento_Week3_DBA_2020.pdf
[The PDF: (Lecturer's text
15.3.2019, part 1-2-3) UPDATED version]:
[CRITICAL reading is encouraged... ]
[PDF-material by Emeritus prof. J. Paavaola:
torsion of open thin-walled beams]: https://mycourses.aalto.fi/pluginfile.php/1400622/mod_folder/intro/1__cross_section_omega_secctorial_computeJP.pdf
MUST READ: Vlassov torsion
Faster and concise reading: from the lecturer's-pdf: Chapter 2: Torsion of opn thin-walled beams
Naturally, you can read also from your textbook if you wish.
[1] CHAI H. YOO & SUNG C. LE . Chapters 6 and 7.
WEEK 3 [END]
============================================
Week 4-5 topics - Buckling of plates
- Introductory example