Mechanics of structures

Teacher(s)

Latteur Pierre;

Language

French

Prerequisites

Advanced notions of Mathematics, Mechanics and Physics. In particular, course LFSAB1202 (Physics 2).

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 Chapter « Content » hereunder

Learning outcomes

At the end of this learning unit, the student is able to :
1	At the end of the course, the student will be able to Understand and apply the principles of the distribution of forces, constraints and deformations within the structures; Design and calculate isostatic structures composed of compressed or tensioned bars, bent beams, cables, funicular arcs, elements subjected to combined forces; Choose the types of structural elements and building materials by measuring the consequences of his choices on the behavior of structures. The course helps to develop the program's AA: A1.1, AA1.2, AA1.3

Content

IMPORTANT NOTE: IN CASE OF FORCE MAJEURE (E.G. EPIDEMIC), THE CONTENT, ACTIVITIES, TEACHING METHODS AND EVALUATION METHODS MAY BE ADAPTED
Chap. 1: the laws of the MDS confirmed by the natural structures
Chap. 2: empiricism construction for millennia
Chap. 3: brief history of the resistance of materials
Chap. 4: building with the knowledge of the laws of nature
Chap. 5: designing the structures
Chap. 6: the categories of structures
Chap. 7: the general approach of calculating a structure
Chap. 8: mechanical properties of building materials
Chap. 9: actions on structures, load cases, load combinations
Chap. 10: strength and moment
Chap. 11: equilibrium, 1st order, 2nd order, second order, ...
Chap. 12: supports, hinges, isostaticity and hyperstaticity
Chap. 13: basic geometrical characteristics of sections: area, inertia, static moment
Chap. 14: notion of security, securty coefficients
Chap. 15: design of the elements subjected to normal force, thermal actions
Chap. 16: trusses
Projection of a film on the construction of the Millau Bridge
Chap. 17: Funicular arches
Chap. 18: Cables
Chap. 19: internal forces into the beams
Chap. 20: stresses in the beams and design criteria
Chap. 21: deformation of the beams
Chap. 22: biaxial flexion, composed flexion, notions of prestress
Chap. 23: stresses due to shear
Chap. 24: stresses due to torsion
(Chap. 25: continuous media and circle of Mohr)
(Chap. 26: rupture criteria, intrinsic curves)
Chap. 27: buckling
Chap. 28: energy, virtual works theorem, unity force theorem
Chap. 29: introduction to hyperstaticity

Teaching methods

Ex-cathedra and/or podcasts based on slides for volume 1. Supervised practical work in the classroom or remotely for volume 2.

Evaluation methods

The exam is closed book and will consist of an approximately one-hour theoretical portion on structural mechanics and an approximately two-hour exercise portion with practical problems to solve. The theory part may include a demonstration. For the exercise part, the students can only have a handwritten personal summary on one A4 sheet, double-sided.
The evaluation will cover all parts of the course. The chapters related to the calculation of internal forces and the drawing of internal force diagrams will have to be perfectly mastered. In addition, a good overall knowledge of the theoretical aspects of the course is necessary for success.

Other information

A didactic software for structural calculation (see www.issd.be) is used during the course and the practical work and is available to the students in the computer room. Its use is highly recommended.

Online resources

See MOODLE page of the course (slides and syllabus of solved exercises).
Podcasts on : https://www.youtube.com/channel/UCvqPgjqATFrps2zA3PIRAMQ

Bibliography

Voir page MOODLE du cours.

Faculty or entity

GC