Applied Mechanics

Year
2
Academic year
2020-2021
Code
01005756
Subject Area
Engineering Sciences
Language of Instruction
Portuguese
Mode of Delivery
Face-to-face
Duration
SEMESTRIAL
ECTS Credits
6.0
Type
Compulsory
Level
1st Cycle Studies

Recommended Prerequisites

Mathematical analysis, Linear Algebra and Analytic Geometry, Numerical Methods.

Teaching Methods

The theoretical lectures are taught using power-point slides. The teaching experience of the discipline indicates the lack of methodology to approach situations studied, therefore effort is devoted to develop systematic methodologies. In the practical classes the problems proposed are realistic involving daily situations and engineering problems.

Learning Outcomes

Analysis of mechanical problems (i.e., problems involving forces and movement) of rigid body, mechanisms and machines. More specifically, it is intended the identification and characterization of the different kinds of forces, the representation of the forces diagram, analysis of equilibrium of forces (body, multi-body and mechanisms), analysis of basic movements of the rigid body (translation, rotation, plane motion), the kinematic analysis of mechanisms (using definitions or following the path of motion), the determination of the equivalent inertia and the dynamic analysis of mechanisms using vectorial and energetic formulations. The study is based on realistic problems, therefore the situations considered are located preferentially at the surface of the Earth, where the bodies are subject to the gravitational force of this and to the action of the atmosphere. The approach is mainly analytical, based on Newton's laws, the law of gravitational attraction and non deformation bodies.

Work Placement(s)

No

Syllabus

1. Fundamental concepts: time, space, matter and energy. 2. Diagram of forces: Study of forces (weight, friction, wires, springs, dampers, fluids at rest and in motion, motors (electric and internal combustion), and hydraulic and pneumatic cylinders), free body diagram. Analysis of mobility. 3. Statics: one body, multi-body (matrix approach) and hypostatic mechanisms. 3. Kinematics of rigid body: translation, rotation around an axis and plane movements; kinematics of mechanisms (numerical and analytical approaches). Machines as assemblies of mechanisms. 3. Rigid body dynamics: translational, rotational and equivalent inertia (mechanisms); fundamental theorems of dynamics; Dynamics of a rigid body; Energy formulation of dynamics (kinetic energy, work and power, of kinetic energy theorem, mechanical energy theorem, Lagrange equations). 6. Ergonomics: Man driven machines.

Head Lecturer(s)

Luís Manuel Ferreira Roseiro

Assessment Methods

Assessment
compulsory practical work in groups of 2 students: 25.0%
Written evaluation by frequency, test or exam: 75.0%

Bibliography

F. Antunes, “Mecânica Aplicada – Uma abordagem prática”, Lidel – Edições Técnicas, Lda,, 2012

 

Beer e Johnston, “Mecânica Vectorial para Engenheiros: Estática”, 6ª Edição, 1998, ISBN: 972-8298-73-0

Beer e Johnston, “Mecânica Vectorial para Engenheiros: Dinâmica”, 7ª Edição, 2006, ISBN: 85-86804-49-5