| Course Type | Elective Course |
|---|
| Course Level | Master's Degree With Thesis |
|---|
| Year of Study | - |
|---|
| Semester | - |
|---|
| ECTS | 10 |
|---|
| Name of Lecturer(s) |
- |
| Learning Outcomes |
At the end of this course, the students;
- Analyze equilibrium states of structural systems and calculate critical buckling loads,
- Model the loss of stability in complex frame systems under axial and lateral loads using differential equations or energy methods,
- Determine the limits of lateral and torsional stability in beams and columns,
- Interpret the effects of real-world imperfections (geometric and material-based) on the stability capacity of structures.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | Concepts of stability; types of buckling; mechanical stability models; elastic and inelastic buckling of columns; elastic buckling of frames; plasticity on frame behavior; design of beam columns; P-Delta effects; energy criterion and energy-based methods; torsional and torsional-flexural buckling of columns; lateral buckling of beams; non-conservative systems; bracing. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Introduction: Types of stability, static and dynamic criteria, bifurcation vs. limit point. |
|
2nd Week |
Discrete Systems: Stability analysis using rigid bars and elastic springs (SDOF models). |
|
3rd Week |
Elastic Buckling of Columns: Euler buckling, boundary conditions, and effective length. |
|
4th Week |
Beam-Columns: Differential equations for members under combined axial and lateral loads. |
|
5th Week |
Stability Functions: Derivation of stiffness and carry-over factors (s and c functions). |
|
6th Week |
Frame Stability I: Buckling analysis of simple portal frames and sub-assemblages. |
|
7th Week |
Frame Stability II: Global vs. local buckling modes in multi-story frames. |
|
8th Week |
Midterm |
|
9th Week |
Energy Methods I: Principle of minimum total potential energy. |
|
10th Week |
Energy Methods II: Approximate solutions via Rayleigh-Ritz and Galerkin methods. |
|
11th Week |
Torsional Buckling: Stability of open sections under torsion and eccentric loading. |
|
12th Week |
Lateral-Torsional Buckling: Stability of beams and the role of lateral bracing. |
|
13th Week |
Inelastic Buckling: Tangent modulus and reduced modulus theories; Shanley's model. |
|
14th Week |
Effect of Imperfections: Influence of initial out-of-plumbness and residual stresses. |
|
15th Week |
Introduction to Plate Buckling: Elastic stability of thin rectangular plates. |
|
| Recommended or Required Reading | 1. Z.P. Bazant, L. Cedolin, Stability of Structures, Dover, 2003.
2. W.PF. Chen, E.M. Lui, Stability Design of Steel Frames, CRC Press, 1991.
3. A. Chajes, Principles of Structural Stability Theory, Prentice Hall, 1974.
4. M.S. E. Naschie, Stress, Stability and Chaos in Structural Engineering: An Energy Approach, McGraw Hill, 1990.
5. G.J. Simitses, Elastic Stability of Structures, Prentice Hall, 1976. |
|---|
| Planned Learning Activities and Teaching Methods |
- Lecture
- Questions/Answers
- Presentation
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
30 |
| Assignment |
1 |
10 |
| Quiz |
1 |
20 |
| Total(%) |
|
60 |
| Contribution of In-term Studies to Overall Grade(%) |
|
60 |
| Contribution of Final Examination to Overall Grade(%) |
|
40 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
1 |
50 |
50 |
| Individual or group work |
14 |
3 |
42 |
| Preparation for Final exam |
1 |
80 |
80 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
60 |
60 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
1 |
20 |
20 |
| Quiz |
1 |
2 |
2 |
| Total Work Load | 300 |
| Total Work Load / 30 (h) | 10 |
| ECTS Credit of the Course | 10 |
|
| Language of Instruction | English |
|---|
| Work Placement(s) | No |
|---|
