Stability

Recommended Prerequisites

Calculus, Numerical analysis, Algebra, Strength of Materials, Theory of Structures.

Teaching Methods

Theoretical classes with detailed exposition, making resource to audiovisual media, of the fundamental concepts, principles and theories. Resolution of some practical examples in each chapter. The classes are concentrated in some weeks of the semester.

Learning Outcomes

To provide the main concepts, principles and theories required to explain, understand and describing the behavior of structural members and structures under compressive forces, i.e., structures that are susceptible to geometrical instability phenomena.

Work Placement(s)

No

Syllabus

1. Introduction to the structural stability phenomena
2. Column stability
3. Stability of beam-columns
4.Stability of plane frames
5. Flexural-torsional stability of beams and columns
6. Numerical methods in structural stability
7. Stability of plates
8. Introduction to post-buckling theory
9. New problems in structural stability
10. Introduction to the stability of non-conservative systems.

Head Lecturer(s)

Fernando Pedro Simões da Silva Dias Simão

Assessment Methods

Final
Exam: 100.0%

Continuous
Realization of theoretical and practical works: 100.0%

Bibliography

F. Bleich (1952), Buckling strength of metal structures, NY: McGraw Hill.

H Troger, A Steindl (1991), Nonlinear stability and bifurcation theory, Springer-Verlag (Wien).

I. Elishakoff, Y. Li, J. H. Starnes jr (2001), Non-classical problems in the theory of elastic stability, Cambridge University Press

J. M. T. Thompson, G. W. Hunt (1973), A general theory of elastic stability, Wiley.

J. Stoer, R Bulirsch (1993), Introduction to numerical analysis  (2nd Ed.), Springer-Verlag (NY).

J. T. Oden, E. A. Ripperger (1981), Mechanics of elastic structures (2nd ed.), Hemisphere Publishing Corp.

N. S. Trahair (1993), Flexural-torsional buckling of structures, E&FN Spon.

T. H. Richards (1977), Energy Methods in Stress Analysis, Ellis Horwood.

W. D. Pilkey (2002), Analysis and design of elastic beams, John wiley and Sons.

W. F. Chen and E. M. Lui (1987), Structural stability – theory and implementation, Prentice Hall.