The main aim of this course is to provide the fundamentals of elasticity and strength of materials, in order to provide the concepts required to understand the mechanics of the materials used in the field of biomedical engineering.

The course falls within the scope of Engineering Fundamentals and requires the understanding of basic knowledge on:

- Calculus

- Physics

Likewise, the concepts studied in this course will lay the foundation for subjects in following courses such as:

- Biomaterials

- Micro-Nanobiotechnology

GENERAL COMPETENCES

G003 Knowledge in basic and technological subjects, which enable to learn new methods and theories, and provide versatility to adapt to new situations.

G004 Knowledge for the realization of measurements, calculations, assessments, appraisals, expert reports, studies, reports, task planning and other similar work.

SHEAR COMPETENCES

T001 Ability to solve problems with initiative, decision making, creativity and critical reasoning, respecting the principles of universal accessibility and design for all people.

SPECIFIC COMPETENCES

M02FI01 Knowledge of the basic principles of elasticity and resistance of materials, as well as their application in the field of biomedical engineering.





RAG7 The graduate will be able to identify the concepts and techniques of the basic and technological subjects of engineering (drawing, computer science, electronics, electricity, mechanics, automation, communication technologies, energy) that enable him/her to learn new methods and theories and provide versatility to adapt to new situations.

RAG9 The graduate will be able to perform measurements, calculations, valuations, appraisals, appraisals, surveys, studies, reports or similar work in the field of biomedical engineering.

RAT1 The graduate will be able to solve problems with initiative, decision making, creativity and critical reasoning.

Chapter 01. Introduction.

Chapter 02. Stress Concept.

Chapter 03. General theory of strain.

Chapter 04. Mechanical behaviour and interaction with biological environments.

Chapter 05. Failure Criteria.

Chapter 06. The prismatic bar.

Chapter 07. Axial force.

Chapter 08. Bending stress in Beams.

Chapter 09. Deflection of Beams.

Chapter 10. Torsion and combined bending and torsion.

Chapter 11. Fundamental impact theory.

The contents of the course “Elasticity and Strength of Materials” are lectured through master classes, lecture room practices, and laboratory sessions. Theoretical concepts are covered in the master classes, where we utilise specific publications relevant to the subject, and available to the student. These sessions include the presentation and resolution of a variety of practical and illustrative problems. In lecture room practices, we concentrate on tackling more complex problems, emphasising the role of structures and mechanical systems to reinforce the theoretical fundamentals. Additionally, we conduct several laboratory sessions. These sessions take place in the “Material Strength and Structures” laboratory of the Department of Mechanical Engineering. Before the sessions begin, the students receive instructions on the theoretical background and are tasked with analytically solving an exercise related to the practice. During the laboratory session, the students conduct experimental measurements to validate the calculations performed earlier. Upon completion of the laboratory session, the students are required to submit a report detailing their results and final conclusions.

• Continuous Assessment System
• Final Assessment System
• Tools and qualification percentages:
  • Written test to be taken (%): 90
  • Realization of Practical Work (exercises, cases or problems) (%): 10

This course follows an assessment approach that allows for partial content exemption through a midterm exam. The remaining portion of the course is evaluated through a final exam.



The evaluation mechanisms are as follows:

-Laboratory sessions (10%): Attendance at all laboratory session is mandatory for receiving a mark. Failure to attend results in a mark of 0.

-Writing exams (90%): Writing exams entail individually solving theoretical and practical tasks. There are two written exams, each accounting for the 45% of the total mark.

-Midterm exam: Passing this exam requires a mark equal to or higher than 4.0. Failure to attempt or pass the midterm exam results in no content exemption.

-Final exam: Students who pass the midterm exam, and thus exempted from that content, must obtain a mark equal to or exceeding 3.5 to be averaged with the midterm exam. Those who failed the midterm exam will sit a final exam covering all the course content.



Students who have passed the midterm exam and wish to sit the final exam that includes all the course may do so by notifying the relevant authorities up to 10 days before the exam. This final exam will account for %90 of the final mark.



Those who waive continuous evaluation must notify it at least 10 days before the midterm exam, and will sit an exam covering the entire course accounting for 100% of the final mark.

Students who opted for the continuous evaluation in the ordinary call will maintain the mark of the laboratory sessions and will be required to sit a final exam covering the entire course that accounts for the 90% of the final mark.



Those who waive continuous evaluation will sit an exam covering the entire course, accounting for 100% of the final mark.

- "Elasticidad y Resistencia de Materiales", José Luis Alcaraz, Rubén Ansola, Javier Canales, José A. Tárrago, Estrella Veguería. Sección de Publicaciones de la E.T.S.I. de Bilbao, 2015.
- "Elasticidad y Resistencia de Materiales: Colección de Problemas de clase", José Luis Alcaraz, Rubén Ansola, Javier Canales, José A. Tárrago, Estrella Veguería. Sección de Publicaciones de la E.T.S.I. de Bilbao, 2016

Basic bibliography

- "Elastikotasuna eta Materialen Erresistentzia", Rubén Ansola. UEU, Udako Euskal Unibertsitatea, 2005.

- "Resistencia de Materiales". L. Ortiz Berrocal. McGraw-Hill, 1991.

- "Mecánica de Materiales" (2ª ed.), S.P. Timoshenko y J.M. Gere. Grupo

Editorial Iberoamericana, 1986.

- "Mecánica de Materiales" (2ª ed.), F.P. Beer y E.R. Johnston. McGraw-Hill, 1993.

- "Resistencia de Materiales", V.I. Feodosiev. Mir, 1980.

- "Problemas de Resistencia de Materiales", I. Miroliúbov et al. Mir, 1978

- “Fundamentals of Biomechanics”, N. Özakaya, D. Leger, D. Goldsheyder, M. Nordin. Springer, 2017.

In-depth bibliography

- "Advanced Mechanics of Materials (6th Ed.)", A.P. Boresi y R.J. Schmidt. John Wiley & Sons, 2003.
- "Advanced Strength and Applied Elasticity", A.C. Ugural y S.K. Fenster. Prentice Hall, 1995.
- "Mechanics of Materials (2nd Ed.)", R.R. Craig Jr. John Wiley & Sons, 2000.

Journals

- Int. J. of Mechanical Sciences, Elsevier.
- Int. J. of Solids and Structures,Elsevier.
- Mechanics of Materials, Elsevier.
- Computers & Structures, Elsevier.