102313 - ELASTICITY AND STRENGTH OF MATERIALS

Subject type: Mandatory

Coordinator: Julián Horrillo Tello

Trimester: First term

Credits: 6

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.

This subject has methodological and digital resources to make possible its continuity in non-contact mode in the case of being necessary for reasons related to the Covid-19. In this way, the achievement of the same knowledge and skills that are specified in this teaching plan will be ensured.

The Tecnocampus will make available to teachers and students the digital tools needed to carry out the course, as well as guides and recommendations that facilitate adaptation to the non-contact mode.

Interpret the states of tension and deformation of elastic solids.

Solve the elastic problem in simple cases.

Pose the solution of the elastic problem by the finite element method and interpret the results.

Properly apply the criteria of elastic failure of deformable solids.

Theoretical classes where the fundamentals of the subject will be exposed and doubts and questions of the students will be solved.

Practical classes where the works that the students will do will be considered and reviewed.

Individual and team work.

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.

2. Strength of materials. Basic hypotheses of the resistance of materials and their consequences: principle of Saint Venant,

Navier-Bernoulli hypothesis and Collignon's theorem.

2.1. Tensile state of revolution solids subjected to axisymmetric load.

2.2. Isostatic prismatic parts system.

2.2.1 Analysis of isostatic prismatic parts systems to determine their internal stresses.

2.2.2 Calculation of the geometric properties of the most common sections of prismatic piece.

2.2.3 The internal balance in a section of a prismatic piece

2.2.4 Tension state of points of prismatic parts subjected to simple bending.

2.2.5 Stress state of the different points of prismatic parts subjected to simple and compound compression,

simple and compound bending, and deviated bending.

2.2.6 Displacements of prismatic parts subjected to simple and deflected bending.

2.2.7 The phenomenon of bonding. Binding length of a prismatic piece for simple bonding conditions.

Face-to-face classes in the classroom (large group): the theoretical subject will be developed and examples, problems and practical cases will be carried out.

The learning method will be based on problem solving by students, interpreting the result.

Practical classes (small groups): using laboratory equipment, by simulation or by carrying out work, practical cases will be carried out.

Attendance at all learning activities is compulsory.

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

Elasticity theory. Stephen P. Timoshenko. ISBN: 9788431402310

Strength of Materials. StephenTimoshenko.