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Applied Mechanics

Code 15760
Year 2
Semester S1
ECTS Credits 6
Workload TP(60H)
Scientific area Mechanics and Thermodynamics
Entry requirements Mechanics and Waves
Mode of delivery Lectures 4 hours weekly. Individual or group work: 3 hours per week. Mini-tests. Tests or examination.
Learning outcomes Teaching the application of basic principles of mechanics in engineering problems.
At the end of the course the student should be able
* to analise a problem of applied mechanics,
* to choose an appropriate system model,
* to study force system reducing it to an equivalent system of forces,
* to analyze the equilibrium of a solid body in plane and space,
* to study reactions in a structure or a machine,
* to draw diagrams of internal forces in beams,
* to consider changes in movements of machinery,
* to calculate dynamic reactions for a rotating body,
* to apply the principle of virtual work to calculate the active forces and reactions,
* to write the equations of motion of a mechanical system in generalized coordinates.
Syllabus Main notions and axioms of statics. Equivalent systems of forces. Principal vector page and principal torque of the system. Equilibrium conditions for a free body.
Distributed forces.
Active forces and reactions. Principle of action and reaction. Equilibrium conditions of a linked body.
Analysis of structures. Machinery. Trusses. Forces in beams. Diagrams of axial and shear forces and bending moment.
Friction. Friction in machines.
Kinematics of material point and of the rigid body. Motion of machinery.
Plane motion. Motion around a fixed point and general motion.
General theorems of the dynamics of a point of a rigid body. Kinetic moment and kinetic energy. Inertia tensor. Three-dimensional motion of a rigid body. Rotation of a rigid body around a fixed axis. Reactions. Dynamic imbalance.
Basic ideas of Analytical Mechanics. Principle of Virtual Work. Lagrange equations.
Main Bibliography [L1] F.P. Beer, E. R. Johnston, E. R. Eisenberg. Mecânica Vectorial para Engenheiros: Vol. 1 -
Estática. Vol. 2 – Dinâmica. – McGraw-Hill Ed., 7ª. Ed., Lisboa, 2006.
Outros livros recomendados para os alunos:
[L2] J. L. Meriam, L. G. Kraige. Engineering Mechanics: Vol. 1 - Statics. Vol. 2 - Dynamics. –
John Wiley & Sons; 6th Ed., N.Y., 2008.
[L3] R. C. Hibbeler. Engineering Mechanics: Statics & Dynamics. – Prentice Hall, Singapore, 12th
Ed., 2009.
[L4] M. Bedford, W. Fowler. Engineering Mechanics: Statics & Dynamics.– Prentice Hall; 5th Ed.,
[L5] J. F. Shelley. 700 Solved Problems In Vector Mechanics for Engineers: Vol. 1 – Statics.
Schaum's Outlines, 1994.
[L6] J. F. Shelley. 800 Solved Problems In Vector Mechanics for Engineers: Vol. 2 – Dynamics.
Schaum's Outlines, 2009.
Teaching Methodologies and Assessment Criteria Expository classes and problem solving
Language Portuguese. Tutorial support is available in English.
Last updated on: 2023-10-12

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