Applied Mechanics - LEB


Biomedical Engineering

Curricular Unit (UC)

Applied Mechanics

Mandatory  x
Scientific Area  MEC Category  

Course category: B - Basic; C - Core Engineering; E - Specialization; P - Complementary.

Year: 2nd Semester: 1st ECTS: 5.5 Total Hours: 148.5
Contact Hours T: 45 TP: 22.5 PL: S: OT:3
Professor in charge

 Luís Evangelista

T - Lectures; TP - Theory and practice; PL - Lab Work; S - Seminar; OT - Tutorial Guidance.

  • Learning outcomes of the curricular unit

    Provide students with scientific concepts of mechanics of rigid bodies, which can be used to model and describe real biomedical systems. It is intended that students learn to apply these concepts as a tool in the analysis of systems used in biomedical applications, developing their capacity to study systems of multiple components in a rational and coherent manner. 

    The fundamental objective of curricular unit is to enable the student to be able to, from real biomedical systems subjected to loads, create a free body model that accurately describes its mechanical behaviour in static analysis. The student will be enabled to understand the essential aspects associated with dynamic analysis in simple systems, namely the fundamental concepts associated with the phenomena of vibration of 1 degree of freedom systems.

  • Syllabus

    1. Static equilibrium of rigid bodies. The concept of rigid body. Free-body diagrams. Degrees of freedom and constraints. Reactions at supports and connections for 2- and 3- dimension equilibrium of a rigid body. CAD applications.

    2. Analysis of structures. The method of joints and the method of sections. Types of supports. Application problems.

    3. Analysis of mechanical systems components considering friction. Dry friction definition, friction forces and laws of dry friction.

    4. Vibration systems with a degree of freedom. Free vibration and forced vibration. Systems with and without damping. Forced vibration with damping. Transmissibility. Resonance. Application problems using biomedical systems.

  • Demonstration of the syllabus coherence with the curricular unit's objectives

    The fundamental concepts of the syllabus are progressively introduced in class, and, whenever possible, based on real biomedical systems, allowing students perceive either the qualitative or quantitative aspects. The sequence of the syllabus leads the student to understand the static behaviour of components of structures and mechanical systems. Understanding the interaction of multiple components and the perception of the importance of a balanced analysis of structures and mechanical systems, represent essential methodologies to the achievement of the fundamental objectives of the course. Videos and computational animations are presented that enable better understanding of the essential aspects of the study of vibrations and noise in systems, which are also one of the key objectives of the course.


  • Teaching methodologies (including evaluation)

    Teaching will consist of lectures, mixed with theoretical-practical classes. It is required that the student consults the bibliography in order to be introduced to each topic. Lectures will have brief talks over each theme, followed by practical examples, where it is intended that the students consolidate the concepts studied. In the theoretical-practical classes the students will apply the acquired knowledge to the solution of exercises. Some of these classes will be dedicated to performing experimental work, where the students can verify the correspondence between the taught models and the real world events.

    The assessment is carried out during the semester or through final exam. The continuous assessment involves a set of computational projects besides a written test, with contributions to the final grade of 30% and 70%, respectively.

  • Demonstration of the coherence between the teaching methodologies and the learning outcomes

    The teaching methodologies use different methods that enable the objectives of the course. Depending on the characteristics of concepts to transmit, theoretical or theoretical-practical classes are used, in a harmoniously set that aims to make the students understand the fundamental concepts associated with program content. In class, the potential of new multimedia systems and of computer programs are used, namely symbolic computation, for development of models for analyzing the static and dynamic behavior of structures and mechanical systems.


  • Main Bibliography

    Engineering Mechanics – Vol. I – Statics, Vol. II - Dynamics, R. C. Hibbeler, Prentice-Hall.

    Vector Mechanics for Engineers – Vol. I – Statics, Vol. II - Dynamics, F. P. Beer e E. R. Johnston Jr., McGraw-Hill.

    Mechanical Vibrations: International 4th edition, S. S. Rao, Prentice-Hall.