Analysis of hyperstatic structures
Summary
This course provides the foundation for understanding how hyperstatic structures deform and carry loads under a variety of loading conditions. Beyond analytical methods, it emphasizes the development of physical intuition of internal force distributions and verification on numerical results.
Content
- Degree of static indeterminacy and structural redundancy of structures composed of beams and bars
- Analysis of hyperstatic systems using the force method and the displacement method
- Effects of special load cases including temperature and differential settlements
- Qualitative sketching of internal force diagrams
- Static analysis of slabs
- The direct stiffness method
- Cross-validation of finite element results using hand calculation
- Special topics: Structural optimization, analysis of arches and vaullts
Keywords
Hyperstatic structures, structural redundancy, force method
Learning Prerequisites
Required courses
structural / continuum mechanics (CIVIL 124 Statics I, CIVIL-238 Structural Mechanics (for GC), CIVIL-225 Continuum Mechanics (for GC) or equivalent courses), linear algebra, finite element analysis (CIVIL-321 Modélisation numérique des solides et structures or equivalent)
Important concepts to start the course
Analysis of isostatic structures, force diagrams, linear algebra
Learning Outcomes
By the end of the course, the student must be able to:
- Identify hyperstatic structural systems.
- Model typical structural systems in civil engineering with beams and bars.
- Analyze the internal forces of hyperstatic systems.
- Assess / Evaluate FE analysis with hand calculation.
Transversal skills
- Use a work methodology appropriate to the task.
- Plan and carry out activities in a way which makes optimal use of available time and other resources.
Teaching methods
Ex-cathedra course ; Tutorials (exercises solved in groups of ~20 students)
Expected student activities
Exercises started in class; to be completed at home; project.
Assessment methods
Project 25% ; Mid-term exam 25%; Final exam 50%
Supervision
| Office hours | Yes |
| Assistant.e.s | Yes |
| Forum | No |
Resources
Virtual desktop infrastructure (VDI)
No
Bibliography
Web links:
- https://slsp-epfl.primo.exlibrisgroup.com/permalink/41SLSP_EPF/3refa9/alma99116756006805516
- https://slsp-epfl.primo.exlibrisgroup.com/permalink/41SLSP_EPF/3refa9/alma990070812780205516
Moodle Link
Prerequisite for
Master project (PDM)
Dans les plans d'études
- Semestre: Automne
- Forme de l'examen: Pendant le semestre (session d'hiver)
- Matière examinée: Analysis of hyperstatic structures
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Pendant le semestre (session d'hiver)
- Matière examinée: Analysis of hyperstatic structures
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel