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Mechanics
Scholar Year: 2019/2020 - 2S
| Code: |
LACI12010 |
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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 |
| EACI |
81 |
|
1º |
6,0 |
75 |
160,0 |
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 the deviations from the expected results with critical sense.
Syllabus
1.Introduction (3h)
1.1 Concepts, 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 Addition of 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 two points of 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 Internal product of two vectors
3.9 Mixed vector product
3.10Moment of a force on an axis
3.11Starting a Torque
3.12Electronic equivalents
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.Equilibrium of rigid bodies (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)
5.1 Dry friction lines
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
7.2Motion of Polar Inertia
7.3Rotational rotation of a surface
7.4 Parallel axis theory
7.5Compact surfaces 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
Demonstration of the syllabus coherence with the UC intended learning outcomes
Theoretical-Practical classes: exposition of concepts and principles of the Mechanics of 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
Realization of 5 Laboratory Works, 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)
Final Grade = 0.4x (Average Laboratory Work) + 0.6x (Exam Note)
Approved in the discipline if Final Grade> = 10 after rounding.
Restrictions:
Minimum exam grade = 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 Benefits of the Regulations of the Worker-Student Statute, the students covered by this statute and high competition 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 disciplinary officer up to one week before of the Laboratory Work in question.
Requests received after the deadlines will not be accepted.
Requests received after the deadlines will not be accepted.
Assement and Attendance registers
| Description |
Type |
Time (hours) |
End Date |
| Attendance (estimated) |
Classes |
45 |
|
| |
Total: |
45 |
Primary Bibliography
Beer & Johnston;Mecânica Vetorial para Engenheiros, Estática e Dinâmica, McGraw Hill, 2006. ISBN: 85-86804-45-2 |
Observations
In relation to the Laboratory classes with work to be done the following information is given:
1. At the end of the lesson, the group must provide the teacher with the sheet attached to the guide with the data recorded, calculations and results obtained.
2. Only students present in the lab class may sign the report. In case of a student missing the laboratory will have zero mark in this work.
3. Within one week the student must submit the report of the work in pdf format.
4. The preparation of the report should be done based on the template available on the Moodle platform.
5. The evaluation will be made on a 0 to 20 basis and its distribution will be as follows:
. The. Previous work preparation 3 val.
. B. Attitude of the student while working in the laboratory 3 val.
. W. Presentation of the report 2 val.
. d. Data logging 2 val.
. and. Calculations and results 6 val.
. f. Conclusions 4 val.
Note: Failure to comply with the provisions of paragraph 3, delivery after the deadline and / or in a format other than the pdf will not be classified by what will be attributed the grade zero in that work.
Doubt time: It should be communicated to the students by each teacher teaching the discipline
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