Elastic Stability

General

• Code: ΔΟΜ028
• Semester: 8th
• Study Level: Undergraduate
• Course type: Specialization
• Teaching and exams language: Ελληνικά
• Teaching Methods (Hours/Week): Lectures (4)
• ECTS Units: 5
• Prerequisite courses: (ΓΕΝ007) Special Topics in Geotechnical Engineering, (ΔΟΜ006) Theory of Elasticity, (ΔΟΜ012) Structural Analysis I – Determinate structures, (ΔΟΜ014) Structural Analysis II – Indeterminate structures

Course Contents

Principles of the elastic stability theory. Stable, unstable and neutral equilibrium. Bending as a
stability issue. Differential bending equation.
Influence of axial forces. Bending as an eigenvalue problem. The influence of boundary conditions.
Stability criterion – Stability determinant, Orthogonality condition of functions. Energy methods
(Timoshenko total potential). Rayleigh-Ritz and Galerkin methods.
The problem of elastic stability of surface structures. Strength and stability checks of shells, thin
plates, tanks, and silos.

Educational Goals

Upon successful completion of the course, students are expected to:
1) Identify problems related to the stability of structural elements and constructions.
2) Select appropriate strategies for addressing stability problems under static and dynamic loads.
3) Determine equilibrium paths and critical points in structures depending on the applied loading.
4) Evaluate the behavior of structural elements against buckling
5) Dimension the members and connections of the load-bearing system.

General Skills

– Search for, analysis and synthesis of data and information, with the use of the necessary technology
– Adapting to new situations
– Decision-making
– Working independently
– Team work
– Working in an interdisciplinary environment
– Project planning and management
– Criticism and self-criticism
– Production of free, creative and inductive thinking

Teaching Methods

Face to face.

Teaching Organization

Students Evaluation

1. Assignment of tasks aimed at exploring the understanding
of the concepts taught.
2. Final written exam at the end of the semester (in Greek).
3. Each student is given the opportunity to review their
written exam and have their mistakes analyzed.

Recommended Bibliography

• Γαντές, Χ., 2015. Μη γραμμική συμπεριφορά των κατασκευών. [ηλεκτρ. βιβλ.]: Σύνδεσμος
  Ελληνικών Ακαδημαϊκών Βιβλιοθηκών. http://hdl.handle.net/11419/5318
• Σοφιανόπουλος, Δ., 2015. Μη γραμμική ευστάθεια κατασκευών. [ηλεκτρ. βιβλ.]: Σύνδεσμος
  Ελληνικών Ακαδημαϊκών Βιβλιοθηκών. http://hdl.handle.net/11419/2024
• Κουνάδης Α., Γραμμική Θεωρία Ελαστικής Ευστάθειας (β΄έκδοση), Εκδόσεις Συμεών, 1997.
• Timoshenko & Gere, Theory of Elastic Stability, , Εκδόσεις Dover Civil and Mechanical
  Engineering, 2009, ISBN-10: 0486472078
• Bazant and Cedolin, Stability of Structures Stability of Structures, Elastic, Inelastic and
  Damage Theories, 1991, Εκδόσεις Oxford University, ISBN-10: 0195055292
• Gantes Ch., NonLinear Behavior of Structures, HEAL-Link, 2015, http://hdl.handle.net/11419/5318 (in
  Greek)
  Sogianopoulos D., NonLinear Stability of Structures, HEAL-Link, 2015, http://hdl.handle.net/11419/2024
  (in Greek)
  Kounadis A., Elastic Stability Linear Theory 2nd ed., Symeon publ., 1997 (in Greek)
  Timoshenko Gere, Theory of Elastic Stability, Dover Civil and Mechanical Engineering, 2009, ISBN-10:
  0486472078
  Bazant Cedolin, Stability of Structures Stability of Structures, Elastic, Inelastic and Damage Theories, 1991,
  Εκδόσεις Oxford University, ISBN-10: 0195055292