Mechanics II

Code:

EIG0053

Acronym:

MECII

Keywords
Classification	Keyword
OFICIAL	Applied Mechanics

Instance: 2020/2021 - 2S

Active?	Yes
Web Page:	http://www.fe.up.pt/~jchousal/2/mecanica2.htm
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Master in Engineering and Industrial Management

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEGI	146	Syllabus since 2006/2007	2	-	6	63	162

Teaching language

Portuguese

Objectives

1- BACKGROUND: Mathematics, Algebra, Physics, Statics, Mechanisms, Mechanical Drawing. 2- SPECIFIC AIMS: 1. To be acquainted with the essential concepts of KINEMATICS that is related with the motion of RIGID BODIES. To determine its velocity and acceleration. 2. To know how to determine velocity fields and contemporaneous accelerations in absolute or relative motions of the various mechanism components in an arbitrary 3D motion. 3. To identify what happens on a solid due to its motion (mass and inertia). 4. To know how to determine the dynamic balance of mechanical systems through vector theorems, energy theorems, impulse theorem and quantity of movement. 3- PREVIOUS KNOWLEDGE Physics - Secondary school. Mathematics - EM0009, EM0010, EIG0045. Algebra - EM0005. Statics - EM0014. Mechanisms & Mechanical Drawing - EIG0005. 4- PERCENTUAL DISTRIBUTION Science - 85%; Technology - 15%. 5- LEARNING OUTCOMES By the end of the semester, students should know how to analyze the kinematic and dynamic behaviours of plannar and spacial mechanisms. Understand and the kinematics and dynamics of trivial mechanisms (gears, rolling bearings, cam - follower, piston ring-cylinder liner, rolling/sliding contacts ...)

Learning outcomes and competences

1. To be acquainted with the essential concepts of KINEMATICS that is related with the motion of RIGID BODIES. To determine its velocity and acceleration.
2. To know how to determine velocity fields and contemporaneous accelerations in absolute or relative motions of the various mechanism components in an arbitrary 3D motion. 
3. To identify what happens on a solid due to its motion (mass and inertia).
4. To know how to determine the dynamic balance of mechanical systems through vector theorems, energy theorems, impulse theorem and quantity of motion.

By the end of the semester, students should know how to analyze the kinematic and dynamic behaviours of plannar and spacial mechanisms.
Understand and the kinematics and dynamics of trivial mechanisms (gears, rolling bearings, cam - follower, piston ring-cylinder liner, rolling/sliding contacts ...)

Working method

Presencial

Program

Kinematics of a point Trajectory Position vectors, velocity vectors and acceleration vectors. Vector’s components in intrinsic coordinates and in various Cartesian coordinates (steady or movable) Vector treatment of rotation motion “Angular velocity” vector or “rotation” vector “Angular acceleration” vector Kinematics of a solid Velocity fields Connection between velocities and two points of a solid: 1st Mozzi equation Elementary motions of a solid: translational and rotational Some particular motions: plain motion, polar motion and helical motion “General” motion: from “tangent” motion to helical motion. Absolute velocity, relative velocity and transport velocity Absolute acceleration, relative acceleration, transport acceleration and complementary (Coriolis) acceleration Solid motion on permanent contact Slip acceleration Velocity fields on constant contact Particular cases: pure rolling, pure twist, pure slip Rotation motion from the place where two motion solids meet and constant contact solids Instantaneous axis of rotation in an arbitrary motion of a solid Rotation motion of that axis Axoid surfaces Mass Kinematics Torsor motion Torsor acceleration Kinematic energy in a material system Dynamics- Force, Mass and Acceleration Dynamics of a material point The elementary principles of dynamics Equations of motion Inertial force Kinematic momentum variation of a material point Equation of dynamics Dynamics of a solid: Method of analysis, motion of the center of mass, motion around the center of mass, dynamic balance, particular motions and applications. Dynamics- Work and Energy Work and energy: work of a force and binary work Work of conservative and non-conservative forces Work and kinematic energy Work and total energy mechanics The principal of conservation of total energy mechanics Theorem of virtual work: virtual dislocation, theorem of virtual work.

Mandatory literature

J. O. Seabra, C. M. Oliveira, J. D. Rodrigues, P. P. Camanho e P. L. Ribeiro; DINÂMICA DO PONTO MATERIAL E DO CORPO RÍGIDO, FEUP-DEMEGI-SMAp, 2004
Marcelo Ferreira de Moura e Carlos Magalhães Oliveira; CINEMÁTICA, FEUP-DEMEGI-SMAp, 2003

Complementary Bibliography

Meriam, J. L.; Engineering Mechanics. ISBN: 0-471-59273-0
Paul, Burton; Kinematics and dynamics of planar machinery. ISBN: 0-13-516062-6
Hibbeler, R. C.; Engineering mechanics. ISBN: 0-13-080288-3
Beer, Ferdinand P; Vector mechanics for engineers. ISBN: 0-07-100455-6

Teaching methods and learning activities

Integrated Masters in Mechanics Engineering (MIEM- 1st Semester) Hours per week: 1.5 hours of theoretical classes and 3 hours of practical classes Theoretical hours: 18 hours Practical hours: 36 hours Integrated Masters in Industrial Engineering and Management Hours per week: 1.5 hours of theoretical classes and 3 hours of practical classes Theoretical hours: 18 hours Practical hours: 36 hours

keywords

Physical sciences > Physics > Classical mechanics > Kinetics
Physical sciences > Physics > Classical mechanics > Kinetics

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Designation	Weight (%)
Exame	45,00
Teste	45,00
Trabalho escrito	10,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	120,00
Frequência das aulas	54,00
Total:	174,00

Eligibility for exams

According to General Evaluation Rules of FEUP

Calculation formula of final grade

1. Students will have to attend to two exams (November 4, 2013; January 2014) 2. The first exam will exclusively test the concepts of kinematics. 3. The second exam will test the themes taught on the second part of the semester. 4. Both exams worth 50% of the final grade. 5. Students will have to achieve a minimum grade of 8 (7.50) out of 20 on each of the exams. 6. The remaning 10% are due to practical works proposed during the semester 7. Students who:
-did not reach an average grade of 10 out of 20 in both exams
- reached an average grade of 10 out of 20 but did not follow the rule on item 5
- missed one of the exams,
will have an opportunity to be tested in final exam. The exam will cover all the matters taught during the semester.

Examinations or Special Assignments

Not Applicable

Special assessment (TE, DA, ...)

According to General Evaluation Rules of FEUP.

Classification improvement

According to General Evaluation Rules of FEUP.

Observations

Changes in Evaluation Rules caused by the situation COVID19



1. If the presential exam is performed
   Evaluation divided by online work via Moodle (5 values) and final presential exam at the normal season (15 values). 

2. If the presential exam is not performed
    Evaluation divided by 4 asynchronous online works via Moodle (2 values) and 2 synchronous online exams, each worth 9 values. 

3. Students who:
- did not reach an average grade of 10 out of 20,
- missed the exams,
- have already obtained approval for the discipline, want to improve their grade,
will have an opportunity to be tested in final exam.The exam will cover all the matters taught during the semester.