Note from June 29, 2020
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
Although we do not yet know how long the social distancing related to the Covid-19 pandemic will last, and regardless of the changes that had to be made in the evaluation of the June 2020 session in relation to what is provided for in this learning unit description, new learnig unit evaluation methods may still be adopted by the teachers; details of these methods have been - or will be - communicated to the students by the teachers, as soon as possible.
5 credits
30.0 h + 30.0 h
Q1
Teacher(s)
Saraiva Esteves Pacheco De Almeida João;
Language
French
Prerequisites
Structural Mechanics (course LGCIV1022) and Strength of Materials (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
The objective of the course is to study fundamental scientific and technical aspects linked to the understanding and analysis of structural materials and geomaterials in construction.
The course aims at providing future engineers with an essential background on mechanics, geomechanics and properties of construction materials that will be useful throughout their study curriculum and professionally when managing civil engineering projects.
The course aims at providing future engineers with an essential background on mechanics, geomechanics and properties of construction materials that will be useful throughout their study curriculum and professionally when managing civil engineering projects.
Aims
At the end of this learning unit, the student is able to : | |
| AA 1.1, AA 1.2, et AA 1.3 |
|
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”.
Content
- Revision of structural mechanics.
- 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.
Evaluation methods
Written final exam.
Other information
The didactic analysis software "issd" (www.issd.be) is an advised complement and its use during the exercise sessions will help to the understanding of the course content.
Online resources
- Lecture slides (available on Moodle)
- For the matrix version of the sitffness method, a MatLab code will be provided.
Bibliography
-
« 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.
Faculty or entity
GC
Programmes / formations proposant cette unité d'enseignement (UE)
Title of the programme
Sigle
Credits
Prerequisites
Aims
Minor in Engineering Sciences: Construction (only available for reenrolment)
Minor in Construction