# Stability of structures (7 or 10 ECTS)

```Stability of structures (7 or 10 ECTS)
Level: PhD
Period: January 23- April 1, 2015
Teachers:
Roberto Crocetti (R C)
Per Johan Gustafson (P J G)
Per-Erik Austrell (P E A)
Teaching method
A short introductory lecture will be given for each specific topics, by the teachers. The
approach to the solution of some examples will be shown on the board. Teacher’s notes and
other reading materials will be distributed to the student. After each lecture a number of
exercises will be delivered to the students. Some of the lectures will be complemented by an
introduction to the numerical approach (FEM)
Examination method
There are two possibilities that can be chosen by the students:
1. Only solve the assigned exercises
2. Solve the exercise + write a paper on a specific stability topic and give a 30-45
minutes oral presentation
Choice 1 gives 7,5 ECTS
Choice 2 gives 10 ECTS
(NB: the exercises will typically consist in a theoretical solution and a numerical solution
(performed by means of FEM)
Text books:
-
Theory of Elastic Stability, 2nd Edition, by S.P. Timoshenko and J.M. Gere, McGraw
Hill, 1961.
Structural Stability of Steel, by Galambos et al, 2008
Handouts from the teachers
Course Description:
Critical loads of columns, beams; stability of frames, trusses and arches
Course Objectives:
To achieve fundamental understanding of the subject of stability of structures and apply it
to diverse problems in civil engineering.
Learning Objectives:
To enable the students to determine the critical state(s) of a structural system, use such
information to enhance the design analysis process.
Course time table
Day
23/1
Time
15-17 (*)
Lecture
Introduction - General issues concerning
buckling (local and global buckling, etc.)
30/1
15-17 (*)
6/2
13/2
15-17 (*)
15-17 (*)
II and III order theories
Energy concept
Stability of spring-bar system
Column buckling: General equation, Statical
and Energy approaches
Column Buckling: Column with varying cross
sections, Column in Winkler soil, etc
Beam columns
Derivation of II order equations
Torsion and Torsional Buckling
Lateral Torsional Buckling
Buckling of Frames
Buckling of Arches
Bracing of columns and beams
Discussion
20/2
27/2
6/3
15-17 (*)
13/3
20/3
27/3
1/4
10/4
15-17 (*)
15-17 (*)
15-17 (*)
15-17 (*)
15-17 (*)
Teacher
RC
PEA
RC
RC
RC
RC
RC
PJG
PJG
RC
RC
RC
all
(*) The end time should be considered as flexible: it could be 16:30 or it could be 18:00.
NB: One or more of the scheduled lectures will be integrated with lectures/exercises where
the FE-method for solution of stability problems will be explained. Teacher : K P
```