Structural mechanics (for GC)
Summary
The course discusses the basic principles of structural mechanics, analyzing the performance of materials and structures against loading and focuses on the stress strain relationships and the effect of axial, bending, shear and torsional loadings on engineer structures.
Content
Week 1. Introduction and revision of key concepts
Week 2. Center of gravity and moments of inertia
Week 3. Stress strain and constitutive equations.
Week 4. Axial loaded members/Statically indeterminate members
Week 5. Bending of beams
Week 6. Bending of composite beams
Week 7. Beams in flexure, shear stress
Week 8. Beam deflections
Week 9. The shear center
Week 10. Torsion
Week 11. Combined loading and stress transformation
Week 12. Combined loadings and strain transformation
Week 13. Theory of elasticity of isotropic media
Week 14. Failure criteria
Keywords
Mechanics of materials, stresses in structures, stress-strain relationships, theory of elasticity for isotropic media, beam theory, deflections in beams, failure criteria
Learning Prerequisites
Required courses
- CIVIL-124: Statique (pour GC)
- CIVIL-128: Introduction aux structures
Recommended courses
- CIVIL-225: Mécanique des milieux continus (pour GC)
- MATH-207d: Analyse IV
Learning Outcomes
By the end of the course, the student must be able to:
- Assess / Evaluate a loaded structure
- Analyze /Compute- stresses, strains and deformations
- Assess / Evaluate structural integrity.
Transversal skills
- Assess progress against the plan, and adapt the plan as appropriate.
- Plan and carry out activities in a way which makes optimal use of available time and other resources.
- Set objectives and design an action plan to reach those objectives.
- Use a work methodology appropriate to the task.
- Continue to work through difficulties or initial failure to find optimal solutions.
Teaching methods
Lectures assisted by power point presentations and blackboard.
Exercises for each subject are implemented to lectures as examples and additional exercises are distributed during selected in class exercise sessions and as "take home" exercises.
Flexible schedule to implement exercises during lectures' sessions and theory during exercises' sessions to assist the learning process.
Use of:
- Power point presentations.
- Blackboard.
- In-class exercises (in selected exercise sessions).
- Take home exercises.
- In class and "take home" exercises' solutions
- Computational tools for facilitating learning.
Expected student activities
- Weekly in-class exercises in class and takeaway, study at home and interact with the teaching staff.
Assessment methods
- Final written exam
Supervision
| Office hours | No |
| Assistant.e.s | Yes |
| Forum | Yes |
| Others |
Resources
Virtual desktop infrastructure (VDI)
No
Bibliography
Popov E. Mechanics of Materials
Hibbeler R. C. Mechanics of materials
Gere, JM., and Timoshenko, SP. Mechanics of Materials
Bedenik, B, Besant, C. Analysis of engineering structures
And other books on mechanics of materials
Ressources en bibliothèque
Notes/Handbook
- The course lectures, In-class exercises, exercise sets are provided weekly through Moodle.
- The course does not follow a specific textbook.
Moodle Link
Prerequisite for
- Design of steel structures
- Design of concrete structures
- Geoetechnical engineering
- Structural analysis
- Advanced steel design
- Structural stability
- Structural dynamics
- Seismic engineering
In the programs
- Semester: Spring
- Exam form: During the semester (summer session)
- Subject examined: Structural mechanics (for GC)
- Courses: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- TP: 1 Hour(s) per week x 14 weeks
- Type: mandatory
- Semester: Spring
- Exam form: During the semester (summer session)
- Subject examined: Structural mechanics (for GC)
- Courses: 3 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- TP: 1 Hour(s) per week x 14 weeks
- Type: mandatory
Reference week
| Mo | Tu | We | Th | Fr | |
| 8-9 | |||||
| 9-10 | |||||
| 10-11 | |||||
| 11-12 | |||||
| 12-13 | |||||
| 13-14 | |||||
| 14-15 | |||||
| 15-16 | |||||
| 16-17 | |||||
| 17-18 | |||||
| 18-19 | |||||
| 19-20 | |||||
| 20-21 | |||||
| 21-22 |
Légendes:
Lecture
Exercise, TP
Project, Lab, other