Teacher(s)
Language
French
Prerequisites
Structural Mechanics (course LGCIV1031) and Strength of Material (course LGCIV1022)
Main themes
See "Content"
Learning outcomes
At the end of this learning unit, the student is able to : | |
The course helps to develop the program's AA:
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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.
- Influence lines: statically determinate and indeterminate structures.
- Plastic bending and concept of plastic hinge.
- Fundamental theorems of limit analysis.
- Introduction to safety and reliability.
- 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.
Teaching methods
Lectures based on course slides and exercise solving with student participation.
Evaluation methods
Final written examination: 100%
In addition, students may choose to earn up to two bonus components:
The final grade, including any applicable bonus points, is expressed as a whole number and cannot exceed 20/20.
The grade submitted to the examination board is the most recent grade obtained by the student during the academic year.
In addition, students may choose to earn up to two bonus components:
- Continuous Assessment Bonus: based on four in-class tests, worth up to 1 additional point in total.
- Solidarity Bonus: based on class attendance and group work. This bonus enables students who obtain a grade of 8/20 or 9/20 on the final examination to reach up to 10/20, and awards up to 1 additional point to students who achieve a grade above 10/20. Further details will be provided during the lectures.
The final grade, including any applicable bonus points, is expressed as a whole number and cannot exceed 20/20.
The grade submitted to the examination board is the most recent grade obtained by the student during the academic year.
Other information
- For the matrix version of the stiffness method, the programming language Python will be used.
Online resources
- Lecture slides, syllabus, 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
