TecnoCampus Foundation
eCampus
University Business
eCampus

What are you looking for?

General information

Subject type: Mandatory

Coordinator: Joan Triadó Aymerich

Trimester: First term

Credits: 6

Teaching staff: 

Joan Ramon Gomà Ayats

Teaching languages

  • Catalan

Skills

Basic skills

  • B5_That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy

     

Specific skills

  • Apply the fundamentals of the elasticity and strength of materials to the behavior of real solids

Transversal competences

  • T2_That students have the ability to work as members of an interdisciplinary team either as one more member, or performing management tasks, in order to contribute to developing projects with pragmatism and a sense of responsibility, making commitments taking into account available resources

     

Description

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.

 

 

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.

Evaluation system

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

The grade of the course will be calculated with 0,3 Grade of practical work + 0,7 Maximum (continuous assessment grade, final exam grade)

An extraordinary resit exam for the final exam will be held

REFERENCES

Basic

Elasticity theory. Stephen P. Timoshenko. ISBN: 9788431402310

Strength of Materials. StephenTimoshenko.