TecnoCampus Foundation
eCampus
University Business
eCampus

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General information

Subject type: Mandatory

Coordinator: Joan Triadó Aymerich

Trimester: First term

Credits: 6

Teaching staff: 

Klara Vékony Jarecsny

Academic year: 2025

Teaching course: 3

Languages ​​of instruction

  • Spanish
  • Catalan
  • English

The language of the course is Spanish. Els apunts del curs estan escrits i les classes magistrals s'impartiran en castellà, però tots els treballs, informes, exàmens etc es poden presentar en qualsevol dels tres idiomes (català, castellà o anglès).

Competencies / Learning Outcomes

Specific skills

  • K20. Explain the systems and algorithms that contribute to the operation of a robot and the development of robotic systems.

  • S21. Apply the fundamentals of elasticity and resistance of materials to the behavior of real solids.

  • S41. Select and identify the most truthful and relevant sources of information for each situation and area of specialization, as well as use information technologies to disseminate and create content.

  • C15. Carry out the assigned work based on basic guidelines, deciding how much time to dedicate to each section, including personal contributions and expanding the sources of information indicated.

  • C19. Evaluate and implement the necessary actions to correct possible deviations from what has been planned and effectively execute the assigned role within the team.

Presentation of the subject

The course aims for students to understand the internal state of real solids subjected to external loads which is determined by the state of stress and the state of deformation.

In static cases of isotropic materials, geometries and simple external loads, students will learn to use simplified solutions of the equations that relate the loads to the state of the solid assuming that before applying the external loads the internal stress was zero to everywhere.

In complex cases, students will understand how the finite element method can be used to obtain an approximate solution to the problem.

Once the stress and strain states have been determined, students will learn to use the failure and fatigue criteria to determine if the solid is capable of withstanding external loads and will also learn to obtain the displacements to verify that the final shape of solid it still meets the dimensions needed to function.

Students will understand the implications of the dynamic problems of vibration, elastic waves and viscoelasticity.

 

 

The classroom (physical or virtual) is a safe space, free of sexist, racist, homophobic, transphobic and discriminatory attitudes, either towards students or towards teachers. We trust that together we can create a safe space where we can make mistakes and learn without having to suffer prejudice from others. 

 

Contents

1. Theory of Elasticity.

1.1 Equilibrium condition of a deformable solid.

1.2. The state of stresses: voltage tensor, voltage vector and its intrinsic components, voltages main directions.

1.3. The state of deformations: field of displacements, tensor deformation, vector deformation and its intrinsic components, deformations and main directions of deformation.

1.4. The elastic problem. Equilibrium equations, constitutive relations, compatibility equations and kinematic relations.

1.5. Relationship between the stress state of the points of a solid with external charges.

1.6. Relationship between the state of deformations of the points of a solid with the field of displacements.

1.7 Solving the elastic problem by states of loads and simple deformable solids.

1.8. The finite element method.

1.9.Loading capacity of a deformable solid according to elastic failure criteria.

1.10. Dynamic problems. Viscoelasticity. Elastic waves. Own fashions.

Activities and evaluation system

There will be an exam, continuous assessment tests and practical work.

The course grade will be calculated with 0,3 Practical work grade + 0,7 Maximum (continuous assessment grade, exam grade)

An extraordinary retake exam will be held for the final exam only.

 

Important:

Any form of academic fraud will be sanctioned in accordance with the regulations
evaluation of the center. In the event that signs of fraud are detected, including the improper use
of generative artificial intelligence tools, the subject's teachers will be able to
summon the student

Bibliography

Basic

Strength of Materials. StephenTimoshenko. 

Elasticity theory. Stephen P. Timoshenko. ISBN: 9788431402310