2023-2024 / GCIV2037-1

Structures analysis II


28h Th, 24h Pr, 15h Proj.

Number of credits

 Master of Science (MSc) in Civil Engineering5 crédits 


Vincent Denoël, Philippe Rigo

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

"Stuctural Mechanics - part II" presents some complements to the structural analysis lectures. It comprises three main parts. The first part presents methods to analyze plated structures. The second part presents the basics of structural stability and second order structural response. The third part, more involved, presents methods to analyze structures subjected to dynamic and seismic actions. The following topics are investigated :

  • equations of the plate theory
  • numerical simulation of structures made of plates
  • buckling of plates
  • theory of stability and application to frame structures
  • dynamics of single degree-of-freedom structures, then multiple degree-of-freedom structres
  • modal decomposition, natural frequencies
  • applications to the dynamic analysis of civil engineering structure

Learning outcomes of the learning unit

At the end of this lecture, the student will be able to distinguish the different types of structural behaviour for a 3-D structure. He/She will also be able to check the stability of structures made of so-called class 4 sections, for which the elastic bending moment cannot be reached.
The students will also be able to perform the dynamic analysis of a structure with the finite element method. He/She will have learned to understand the various types of structural behaviour and will be able to simplify its modeling. In doing so, the student will be able to come back to the simpler models studied in the frequency domain, as well as in the time domain.

The complete list of the KLO for this course is defined in the matrix available at the following address: https://www.programmes.uliege.be/cocoon/20182019/formations/descr/A2UCON01.html 

This course contributes to the learning outcomes I.1, I.2, II.1, II.2, II.3, III.1, III.2, III.3, III.4, IV.1, IV.2, IV.3, IV.4, IV.5, VI.1, VII.1, VII.2, VII.6 of the MSc in civil engineering.

Prerequisite knowledge and skills

Advised : Basic courses in solid and structure mechanics Mandatory : Static structural analysis of structures made of bars (ULg : Lecture entitled Analyse des Structures I.

Planned learning activities and teaching methods

Practical sessions are included in the time-schedule. During these sessions, students apply the methods presented in the theoretical lectures for practical cases (vibrations of building or bridges, seismic behaviour of simple structures, stability of bridge elements, resistance of tanks...). Students are expected to provide synthesis reports on the various problems that are studied.

Mode of delivery (face to face, distance learning, hybrid learning)

The whole course is given (with physical attendance) during the second semester.

Recommended or required readings

Lectures notes are available and their electronic version is distributed.

Any session :

- In-person

oral exam

- Remote

oral exam

- If evaluation in "hybrid"

preferred in-person

Additional information:

The final mark for the course is obtained with the following components and weights:

  • continuous evaluation of skills through project reports (20%) given during the semester. In particular, a quizz (20%)  on structural stability will be organized after the first third of the semester
  • evaluation of the global learning and knowledge and understanding (60%) through two open questions that are answered during an oral examination.

Work placement(s)

Organisational remarks and main changes to the course

The lecture take place during the second semester, Master I ingénieur civil des constructions. The presence is compulsory.
Lecture notes available on Orbi (Denoël, Analyse des Structures II)


Vincent DENOEL v.denoel@ulg.ac.be 04/366.29.30
Philippe RIGO ph.rigo@ulg.ac.be 04/366.93.66

Association of one or more MOOCs