5.00 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Saraiva Esteves Pacheco De Almeida João;
Language
French
Prerequisites
Strength of Materials (course LGCIV1022) and Structural Materials and Geomaterials (course LGCIV1031)
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.
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.
Main themes
See "Content"
Learning outcomes
At the end of this learning unit, the student is able to : | |
| 1 |
AA1.1, AA1.2, AA1.3, AA2.1, AA2.2
|
Content
- Revision of strength of materials.
- Statically determinate structures: computation of displacements with the unit dummy force method (Mohr’s integration tables) and by integration of differential equations.
- Statically determinate and indeterminate structures: external / global / internal indeterminacy.
- Calculation of degree of static indeterminacy: intuitive and systematic approaches.
- Flexibility (or force) method: primary system, static unknown(s), general solution procedure, compatibility equation, calculation of internal forces, computation of displacements (Pasternak’s theorem).
- Simplifications due to symmetry.
- Statically indeterminate trusses.
- Elastic supports: replacement method and adaptation method.
- Thermal effects.
- Imposed displacements and derivation of local stiffness matrix coefficients.
- Stiffness (or displacement) method: degree of kinematic indeterminacy, free and restrained degrees of freedom, primary system, kinematic unknown(s), general solution procedure, equilibrium equation, calculation of internal forces.
- Stiffness method versus Flexibility method.
- Stiffness method (matrix form for computer implementation): global and local reference systems; beam and truss elements; disassembly and connectivity array; assembly, solution, and support reactions; properties of the stiffness matrix; condensation and beam with hinge element.
- Finite element method: meshing, finite element, nodes, and types of finite elements; boundary conditions (kinematic and static); weak and strong formulations; Galerkin method, displacement and virtual displacement fields, interpolation functions; application to 2D beam element; general application examples.
- Influence lines: statically determinate and indeterminate structures.
Teaching methods
Lectures based on course slides and exercises solving with student participation. Group project.
Evaluation methods
Group project (15%) and written final exam (85%).
NOTE: These instructions take into account a “green” or "yellow" Covid scenario at UCLouvain. Modifications can be made in case of “orange” or “red” scenario, or restrictions in classroom capacities.
NOTE: These instructions take into account a “green” or "yellow" Covid scenario at UCLouvain. Modifications can be made in case of “orange” or “red” scenario, or restrictions in classroom capacities.
Other information
- For the matrix version of the stiffness method, the programming language Python will be used.
- The educational software of structural analysis “issd” (www.issd.be) is an advised complement and its use during the exercise sessions will help to the understanding of the course contents.
Online resources
- Lecture slides (available on Moodle) and other files.
Bibliography
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Slides (Moodle).
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« Calculer une structure, de la théorie à l’exemple », P. Latteur, Editions L’Harmattan/Academia.
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« Analyse des structures et milieux continus », Volume 4 : Structures en barres et poutres, Pierino Lestuzzi et Léopold Pflug, Presses polytechniques et universitaires romandes.
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« Méthode des éléments finis », Volume 6 : Analyse des structures et milieux continus, François Frey et Jaroslav Jirousek, Presses polytechniques et universitaires romandes.
Faculty or entity
GC
