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Mechanics
Scholar Year: 2020/2021 - 2S
| Code: |
EM12209 |
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Acronym: |
MEC |
| Scientific Fields: |
Mecânica dos Meios Sólidos |
Courses
| Acronym |
N. of students |
Study plan |
Curricular year |
ECTS |
Contact time |
Total Time |
| EM |
91 |
|
1º |
6,0 |
75 |
162,0 |
Teaching language
Portuguese
Intended learning outcomes (Knowledges, skills and competencies to be developed by the students)
Enable students to understand and apply the fundamental laws of Newtonian mechanics in the interpretation of the movement of rigid bodies, namely:
-Apply Newton's laws;
- Conduct experiments and analyze the results obtained;
-Identify deviations from expected critical results.
Syllabus
1.Introduction (3h)
1.1Concepts, nomenclature and units
1.2Review of mathematical tools
2.Statistics of particles (10h)
2.1Introduction
2.2 Force acting on a particle. Resulting from two forces
2.3Vectors. Vector operations
2.4Result of several competing forces
2.5Decomposing a force on components
2.6 Cartesian components of a force. Versores
2.7 Adding forces through the sum of its Cartesian components
2.8 Balance of a particle
2.9 Newton's First Law
2.10 Problems involving the equilibrium of a particle. Free Body Diagram
2.11 Cartesian components of a force in space
2.12 Strength defined by its intensity and by two points on its line of action
2.13Adding competing forces in space
2.14 Balance of a particle in space
3.Stiff bodies. Equivalent force systems (15h)
3.1Introduction
3.2Interior forces and external forces
3.3 Principle of transmissibility. Equivalent forces
3.4 External product of two vectors. External product of two vectors expressed in terms of Cartesian components
3.5Moment of a force with respect to a point
3.6 Theorem of Varignon
3.7 Cartesian components of the moment of a force
3.8 Two vector internal product
3.9 Mixed vector product
3.10Moment of a force on an axis
3.11By Starting a Torque
3.12 Equivalent binaries
3.13Adding binaries
3.14Replacement of a force, by a force applied at a point and a torque
3.15 Reduction of a force system to a force and a torque
3.16Equivalent systems of forces
3.17 Vector equipament systems
3.18 Particular cases of reduction of a system of forces
4. Rigid body balance (10h)
4.1Introduction
4.2 Free Body Diagram
4.3Reactions in the supports and connections of a two-dimensional structure
4.4Equilibration of a rigid body in two dimensions
4.5 Statically indeterminate reactions. Insufficient connections
4.6 Balance of a body subjected to the action of two forces
4.7 Balance of a body subjected to the action of three forces
4.8 Balance of a rigid body in three dimensions
4.9Reactions in the supports and connections of a three-dimensional structure
5. Friction (5h)
5.1Leisure of dry friction
5.2Friction coefficients
6. Distributed forces: geometric centers and centers of mass (5h)
6.1 Gravity center of a two-dimensional body
6.2Minento of 1st order of surfaces and lines
7. Distributed Forces: Moments of Inertia (3h)
7.1Momento of Second Order
7.2Minor of Polar Inertia
7.3Rotating a surface
7.4 Parallel axis theory
7.5Compact surface inertia moments
8. Kinematics and particle dynamics (15h)
8.1 Straight movement of particles
8.2 Curvilinear motion of particles
8.3 Newton's second law. Dynamic balance
Keywords
Physical sciences > Physics > Classical mechanics
Physical sciences > Physics > Applied physics > Experimental physics
Physical sciences > Physics > Statics
Demonstration of the syllabus coherence with the UC intended learning outcomes
Theoretical-Practical classes: exposition of concepts and principles of the Mechanics of the Rigid Bodies; application problems;
Laboratory classes: five laboratory experiments with the support of specific guides.
In the other classes of this type will be solved problems of practical application of the theoretical material given.
Support of the e-learning platform Moodle with the presentation of documentation with interest for the subject.
Teaching methodologies
Assessment Type Distribution assessment with final exam Assessment Components
Demonstration of the teaching methodologies coherence with the curricular unit's intended learning outcomes
Accomplishment of 5 Laboratory Papers, 2 tests and a final exam.
Test dates: to be defined
Assessment methodologies and evidences
Final Grade = 0.4x (Average Laboratory Work) + 0.6x (Average of two tests)
or
Final Grade = Grade Exam
Approved in the discipline if Final Grade> = 10 after rounding.
Restrictions:
Minimum exam mark = 8val
Minimum mark on each test: 8val.
Note: A student who does not perform one of the Laboratory Papers will have a score of zero in that paper.
Attendance system
In order to comply with the provisions of no. 6 Other Exemptions and Perks of the Regulations of the Worker-Student Statute, the students covered by this statute and high-level athletes may not be able to carry out one or more laboratories in the class in which they are registered, must inform of their situation the teacher assigned to the laboratory class in which they are enrolled or the person in charge of the discipline to be programmed to carry out the extraordinary laboratory work.
In order to optimize laboratory resources and taking into account that there are several working laboratory classes, the request for extraordinary laboratory work under the Worker-Student Statute must be requested in writing to the person responsible for the discipline up to a week before of the Laboratory Work in question.
Requests received after the due dates will not be accepted.
Primary Bibliography
Beer & Johnston;Mecânica Vectorial para Engenheiros - Estática, McGraw-Hill, 2006. ISBN: 85-86804-45-2 |
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