Structural Mechanics (course LGCIV1031) and Strength of Material (course LGCIV1022)
The prerequisite(s) for this Teaching Unit (Unité d’enseignement – UE) for the programmes/courses that offer this Teaching Unit are specified at the end of this sheet.
AA1.1, AA1.2, AA1.3, AA2.1, AA2.2
- Draw quickly, intuitively, and without calculations the distribution of internal forces in frame structures with corresponding main values, as well as the deformed configuration of statically-determined structures.
- Determine the degree of static indeterminacy of a structure.
- Solve statically determinate structures with the flexibility method, considering additionally the particular cases of variations of temperature, elastic supports, and imposed displacements.
- Understand the concepts and application of the finite element method. Program a structural analysis code for 2D truss and frame structures, and compare with results from educational and commercial structural analysis software.
- Understand the principles of structural dynamic behaviour.
- Determine influence lines for statically determinate and indeterminate structures.
- Analyse slabs with various boundary conditions
The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.
- Review of Structural Mechanics.
- Statically determinate and indeterminate structures: external / global / internal indeterminacy, calculation of degree of statical indeterminacy.
- Statically determinate structures: Computation of displacements with the unit dummy force method (virtual work), Mohr's integration tables.
- Statically indeterminate structures: Introduction to different solution methods, conditions of compatibility and equilibrium.
- Force (or flexibility) method: Primary system, general procedure, computation of internal forces.
- Analysis of different statically determinate structures: Beams, frames, trusses, curved elements, statically-indeterminate arches.
- Elastic supports, imposed displacements, thermal effects.
- Finite element method: Nodal approximation, shape functions and solution procedure for truss and 2-noded plane beam finite elements, application to analysis of frames and trusses.
- Influence lines (statically determinate and indeterminate structures).
- Plates and slabs with different boundary conditions.
- Introduction to dynamics of structures.
Lectures based on course slides and exercise solving with student participation. Tutorial-based individual learning of a programming language and structural analysis software.
Written exam, group work. Specific details indicated in the Moodle course page.
Available on Moodle
- Course slides (available in Moodle).
- « Calculer une structure, de la théorie à l'exemple », P. Latteur, Editions L'Harmattan/Academia.
- « Analyse des structures et milieux continus), Volume 4 : Structures en barres et poutres, Pierino Lestuzzi et Léopold Pflug, Presses polytechniques et universitaires romandes.
- An educational software of structural analysis (www.issd.be) is used during the course and made available in the computer room.
- A commercial software of structural analysis is also available in the computer room. The students can freely download it as well as the corresponding tutorial (www.scia.be).