Mechanics I

Code:

EM0014

Acronym:

M I

Keywords
Classification	Keyword
OFICIAL	Applied Mechanics
OFICIAL	Physics

Instance: 2010/2011 - 2S

Active?	Yes
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEM	277	Syllabus since 2006/2007	1	-	6	70	160

Teaching language

Portuguese

Objectives

Students should correctly indentify the forces that occur on a framework and its connection to the outside. The forces internally produced by the action of the loads will be described, as well as the description of bodies and frameworks concerning their mass distribution.

By the end of the semester, students should:

-Identify all of the aspects of a framework and sketch its work diagram
-know how to apply the vector calculation to the static study of 3D and master the concepts of static equilibrium of body systems.
-Correctly identify the connection forces on frameworks with or without dry friction
-Know how to describe 3D areas and bodies and determine its centroid, mass centre, moments, inertia and obtain the inertia matrix.

Program

Statics

Theory of sliding vectors
Concepts of force, moment, binary and resultant
General principles of static equilibrium in bi dimensional and tri dimensional systems
Definition of system and its representation through a diagram
Calculation of reaction
Articulated systems, calculation and internal forces
Sketch of diagrams of forces in beams
Basic notions about dry friction and calculation of generated forces

Geometry of masses

Calculation of centroids and centres of mass
Pappus’ theorem
Moment of inertia in lines, areas and solids
Products of inertia
Steiner’s theorem: moments and products of inertia in parallel axis
Axis rotation
Inertia matrix
Main moments and directions of inertia

Mandatory literature

Beer, Ferdinand P; Mecânica vetorial para engenheiros
Beer, Ferdinand P; Mecânica vetorial para engenheiros

Complementary Bibliography

Meriam, James L.; Estática. ISBN: 85-216-0275-8
Meriam, James L.; Estática. ISBN: 85-216-0275-8
Vasco Sá / Mário Vaz; Texto de apoio disponível via SiFEUP
Vasco Sá / Mário Vaz; Texto de apoio disponível via SiFEUP
Hibbeler, R. C.; Engineering mechanics. ISBN: 0-02-354070-0
Hibbeler, R. C.; Engineering mechanics. ISBN: 0-02-354070-0

Teaching methods and learning activities

Two theoretical classes per week (one hour). One practical class per week where students can ask questions.

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	52,00
	Exame	3,00		2011-04-29
	Exame	3,00
	Exame	3,00
	Teste	60,00
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
	Estudo autónomo	41
	Total:	41,00

Eligibility for exams

According to General Evaluation Rules of FEUP

Calculation formula of final grade

1. Students are assessed in two different ways: a semester assessment and final exam assessment
2. The semester assessment is based on two exams
3. The contents of the exams are exclusive
4. Students should earn a grade of 7 out of 20
5. Both exams worth the same (50% of the semester assessment)
6. The final grade of the semester assessment is the average grade of the exams.
7. Students who did not achieve a grade of 10 out of 20 or missed both of the exams are able to attend the Recurso exam on July.
8. Each of the three exams is a written assignment assessed from 0 to 20. The exam comprises practical and theoretical questions. Students are not allowed to consult books or notes. The exam lasts three hours.
9. Final mark is the same as the semester assessment.
10. To pass the course students should achieve a grade of 10 out of 20.

Examinations or Special Assignments

Not applicable

Special assessment (TE, DA, ...)

A written assignment assessed from 0 to 20. The exams comprise practical and theoretical questions (closed book exam), and it lasts three hours.

Classification improvement

A written assignment assessed from 0 to 20. The exams comprise practical and theoretical questions. Students are not allowed to consult books or notes. The exam lasts three hours.