ME-411 / 5 credits

Language: English

## Summary

Analysis of the mechanical response and deformation of slender structural elements.

## Keywords

Thin structures, Mechanics, Elastic deformation, Buckling, Geometric nonlinearities.

## Required courses

ME-232 (Structural Mechanics), ME-201 (Continuum Mechanics), and ME-331 (Solid Mechanics), or equivalent from other institutions.

## Recommended courses

ME-202 (Mechanical Systems); ME-373 (Finite element modeling and simulation).  It will be beneficial for students to have taken ME-437 (Advanced Solid Mechanics), or to be taking it in parallel to this course, even if this is not required.

## Important concepts to start the course

Familiarity with structural analysis of elastic systems (bars, trusses, beams, trusses, frames, and mechanisms) and boundary value problems in elasticity. The emphasis of the course is primarily on analytical methods to rationalize and model the mechanics of slender structure, hence, an affinity to mathematical and theoretical approaches in problem solving is expected.

## Learning Outcomes

By the end of the course, the student must be able to:

• Model Model and analytically solve simple problems of statics and stress analysis, S1
• Solve Analyze and design assemblies of simple mechanical elements in the framework of static and buckling, S2
• Analyze Model with analytical or numerical tools the nonlinear response of structures and materials, S12
• Estimate
• Interpret
• Prove
• Choose
• Formulate

## Transversal skills

• Use a work methodology appropriate to the task.
• Set objectives and design an action plan to reach those objectives.
• Plan and carry out activities in a way which makes optimal use of available time and other resources.
• Assess progress against the plan, and adapt the plan as appropriate.
• Continue to work through difficulties or initial failure to find optimal solutions.
• Assess one's own level of skill acquisition, and plan their on-going learning goals.
• Demonstrate the capacity for critical thinking

## Teaching methods

Lectures, practical demonstrations, example problems, in-class exercises, and homework.

## Assessment methods

The course concludes with a written exam (100% of the grade).

## Supervision

 Office hours Yes Assistants Yes Forum Yes

No

## Bibliography

The following books are not required but may be useful and complement to the material provided during the course:

L.D. Landau and E.M. Lifshitz "Theory of Elasticity (3rd Edition)" Elsevier (1986).

O.M. O'Reilly "Modeling Nonlinear Problems in the Mechanics of Strings and Rods" Springer (2016).

S.P. Timoshenko and S. Woinowsky-Krieger "Theory of plates and shells" McGraw Hill (1956).

M. R. Begley and J. W. Hutchinson "The Mechanics and reliability of films, Multilayers, and Coatings" Cambridge University Press (2017).

B. Audoly and Y. Pomeau ¿Elasticity and Geometry: From hair curls to the non-linear response of shells¿ Oxford University Press (2010).

E. Ventsel and T. Krauthammer ¿Thin Plates and Shells: Theory, Analysis and Applications¿ Marcel Decker (2001).

## Notes/Handbook

Printed handouts of the lectures will be provided with material that enhances and complements recommended books.

## In the programs

• Semester: Fall
• Exam form: Written (winter session)
• Subject examined: Mechanics of slender structures
• Lecture: 3 Hour(s) per week x 14 weeks
• Practical work: 2 Hour(s) per week x 14 weeks
• Semester: Fall
• Exam form: Written (winter session)
• Subject examined: Mechanics of slender structures
• Lecture: 3 Hour(s) per week x 14 weeks
• Practical work: 2 Hour(s) per week x 14 weeks
• Semester: Fall
• Exam form: Written (winter session)
• Subject examined: Mechanics of slender structures
• Lecture: 3 Hour(s) per week x 14 weeks
• Practical work: 2 Hour(s) per week x 14 weeks
• Exam form: Written (winter session)
• Subject examined: Mechanics of slender structures
• Lecture: 3 Hour(s) per week x 14 weeks
• Practical work: 2 Hour(s) per week x 14 weeks

## 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

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