- The elasticity and strength of materials is the science that studies the behavior of the deformable solid. Mechanics provides tools to understand the movement of bodies, and is composed of very diverse fields. One way to classify these fields is the condition of body or particle. The Physics subject of the first year studies the mechanics of the particle, considering it a point in space that has mass. When studying solids, two types are distinguished: rigid solid and deformable solid. A rigid solid will be assumed when studying velocities and accelerations since it is not necessary to study the change of shape of the body. In the second year course Applied Mechanics the rigid body is studied.

In this subject, however, it will be considered that the solids are deformable and in this case the movement has no significance. In fact, the mechanical systems studied will be in equilibrium.

The theory of elasticity studies elastic bodies, formulating mathematically the relationship between external actions and the body's response. The strength of materials, studies the most common elements of structures. These elements have a simple geometry, and allow the use of simplifying hypotheses that speed up the calculation. The results are not as accurate as those of the elasticity theory, but the error can be considered negligible.

The behavior of real (deformable) solids is introduced in this course. After an exposition of the fundamental concepts of the Theory of Elasticity, the program focuses on the analysis and design of prismatic piece-type structural elements, subjected to different section stresses. It starts with axial stress. Next, the stresses and deformations originated both in pure bending and in simple bending are studied, and their application is carried out for the resolution of isostatic structures.

- The subject provides knowledge that is at the base of the analysis and design methods of any Mechanical Engineering work.

- Specific Technology Module Competence, Mechanics:

- Knowledge and skills to apply the fundamentals of elasticity and resistance of materials to the behavior of real solids.

- Learning outcomes:

- Know, understand and apply the fundamentals of elasticity and resistance of materials to the behavior of real solids that enable the student for the subsequent application of advanced methods and theories in their professional development in areas of mechanical engineering and also provide them with a great versatility to adapt to new situations.

- Properly apply the strategies of scientific methodology to the problems posed by structural systems and the deformable solid: analyze the situation qualitatively and quantitatively, propose hypotheses and solutions to solve problems inherent to mechanical engineering.

- Express, using the appropriate means, the theoretical knowledge, resolution methods, results and aspects inherent to the problems posed by the equilibrium of the deformable solid and structural systems, using specific vocabulary and terminology.

- Work effectively in a group integrating skills and knowledge to formulate ideas, debate proposals and make decisions in the development of own work, the elasticity and resistance of materials.

- Carry out measurements, calculations, studies, reports and other similar work related to problematic situations that may arise in the field of elasticity and resistance of materials.

The elastic solid: stresses, deformations and compatibility equations.

- Tensionn and compression.

- Shear strength

- Flexure theory: pure, simple, compound, isostatic and hyperstatic.

- Torsion.

- Internal potential. Energy theorems

In the theoretical classes the theory will be explained and related examples will be solved.

Some topics will be worked on with the flipped classroom methodology, and material will be made available to the students to work on the theory at home, and doubts will be answered in class and exercises to apply the theory will be carried out.



In classroom practices, theoretical concepts can be explained and exercises to be developed proposed.



In class, the teacher will propose some work, which can be problems, practices or exercises to work on theory.

All these works will be evaluated and will account for 20% of the final grade.



During the semester, there will be a partial exam, which, if approved, will release material for the final exam.



To pass the exams, whether partial or final, you must obtain a minimum score of 3 out of 10 in each section of the same.

Therefore, the final grade will be calculated as follows: 0.4 x partial exam grade + 0.4 final exam grade + 0.2 individual work grade.

• Final Assessment System
• Tools and qualification percentages:
  • Written test to be taken (%): 80
  • Individual works (%): 20

The written tests to be developed are detailed below:

A midterm exam will be held. The final exams will be attended with pending material.

The final mark of the exams will be the average of the two parts.

The deliverables to be carried out will consist of different tasks that will be described throughout the course, including the laboratory practices. Some should be done individually, others in groups. Some of them will be face-to-face and will take place in class.

In the event that presential evaluation of the subject cannot be carried out, the pertinent changes will be made to carry out an on-line evaluation by using the IT tools available at the UPV / EHU. The characteristics of this online assessment will be published in the student guides and in eGela

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Teachers notes.
Material available in egela

Basic bibliography

Joseba García Melero. Resistencia de Materiales. Editorial: UPV-EHU

In-depth bibliography

Manuel Vazquez. Resistencia de Materiales. Editorial: Universidad Politécnica de Madrid
Luis Ortiz Berrocal. Resistencia de Materiales. Editorial Mc Graw Hill
Timoshenko. Resistencia de Materiales (2 tomos). Editorial: Espasa-Calpe

Web addresses

http://egela.ehu.eus