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Applied Mechanics

Scholar Year: 2020/2021 - 2S

Code: EM22229    Acronym: MA
Scientific Fields: Mecânica dos Meios Sólidos
Section/Department: DEM - Department of Mechanical Engineering

Courses

Acronym N. of students Study plan Curricular year ECTS Contact time Total Time
EM 23 6,0 60 162,0

Teaching weeks: 15

Head

TeacherResponsability
Paulo Jorge Pires MoitaHead

Weekly workload

Hours/week T TP P PL L TC THE EL OT OT/PL TPL S
Type of classes 4

Lectures

Type Teacher Classes Hours
Theorethical and Practical classes Totals 1 4,00
Paulo Moita   4,00

Teaching language

Portuguese/English

Intended learning outcomes (Knowledges, skills and competencies to be developed by the students)

Identify the motion of a rigid body in a plane.
Describe the movement of the rigid body with the equation of motion.

Determine forces and momentums for rigid bodies in motion.

Apply the equations of motion to the study of free vibration.
Know the main mechanisms that exist in machinery.
Analyse simple mechanisms, by analytical methods. Apply computational tool for simulated simple mechanisms.

Syllabus

1. Kinematics of rigid bodies.

Rigid body in translation and in rotation. Plane motion. Absolute and relative velocity. Instantaneous centre of rotation. Absolute and relative accelerations. Coriolis acceleration.

2. Kinetics of rigid bodies.

Kinetics of the rigid bodies in the plane. Equations of motion for a rigid body. Angular momentum in plane motion. D’Alembert’s principle. Constrained plane motion. Principle of work and energy for a rigid body. Work of a force or a couple. Kinetic energy in plane motion. Conservation of energy. Principle of impulse and momentum for a rigid body. Conservation of angular momentum. Impulsive motion. Eccentric impact.
3. Mechanical vibrations.

Free vibrations of a particle. Free vibrations of a rigid body. Simple harmonic motion. Simple pendulum.
4. Mechanisms.

Introduction to multibody, mechanisms and machinery. Application of computational tools to the study of mechanisms.

Software

Gnu Octave

Working Model

Keywords

Physical sciences > Physics > Classical mechanics > Kinetics

Technological sciences > Engineering > Mechanical engineering


Demonstration of the syllabus coherence with the UC intended learning outcomes

The classes are theoretical and practical.
After exposition, the contents of the lesson is illustrated through application examples and resolution of exercises.
In addition students carry out a work to familiarize themselves with the subjects taught, on the same topics discussed during classes.

Teaching methodologies

Distributed evaluation with a fina exam.
The synchronous classes will be held in the Zoom platform.
The planning of the course, along with all the teaching materials will be made availabre in the Moodle e-learning platform, prior to each class.

Assessment methodologies and evidences

EX-Exam
AC-Individual Computacional Project (Project)
ORP - Oral presentation of the Computational Project
NF-Final grade
T Test

Option 1)
NF = 0.5 T + 0.30* Project + 0.2* ORP


Option 2)

NF=EX

Primary Bibliography

Ferdinand P. Beer, E. Russel Johnston, William E. Clausen;Mecânica Vetorial para Engenheiros - Dinâmica, McGraw-Hill, 2006. ISBN: 85-86804-49-5 (7ª Edição)
R.C. Hibbeler;Mecânica para Engenharia - Dinâmica, Pearson Education, 2005. ISBN: 85-87918-96-6 (10ª Edição)
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