Mechanical
Engineering
Summary of Disciplines
 CODE
Course  (number of class hours) Number of
credits  Prerequisite
Where:
 CODE
 is the course's code;
Course  is the course's name;
(number of class hours)  is the distribution of class
hours (Lecture classes  Exercise classes  Laboratory
classes);
Number of credits  is the course's number of credits;
Prerequisites  are the courses that must be taken
prior to registering at this course
 Example:
ART 1023 Geometric Drawing I  (202) 4 
ART 1022
 CODE
 ART 1023;
 Course
 Geometric Drawing I;
(number of class hours)  Lecture classes: 2; Exercise
classes: 0; Laboratory classes: 2;
Number of credits  4;
Prerequisites ART 1022

MEC
1005 GRADUATION PROJECT  (040) 2
Development of an engineering project or a research project
under supervision of an advisor. The project can be developed
by one student or a group of students, and should be presented
in a written report that follows the guidelines established
by the department.
MEC
1006 SUPERVISED PRACTICAL TRAINNING  (040) 1
Seminar by students that are in practical trainning at different
companies. The goal is to share different experiences and
dificulties encountered in the work place.
MEC
1050 FULL TIME PRACTICAL TRAINNING  (0400) 16
Full time work experience, total of 600 hours, under supervision
of a professor, at companies that have special agreement with
the Department of Mechanical Engineering.
MEC
1111 TECHNICAL DRAWING  (220) 3
The use of graphical language. Drawing tools. Technical standard
NB8. Orthographic projections (main and auxiliary). Orthogonal
and cilyndric perspective (isometric drawing). Sections. Pipe
drawing. Architectural drawing. Electrical drawing. Dimensioning.
MEC
1123 COMPUTER GRAPHICS FOR ENGINEERING  (400) 4
Introduction to C programming language. Graphics hardware.
Interactive computer graphics. Bidimensional computer graphics:
transformation and curves. Tridimensional computer graphics:
transformation, projections, 3D curves and surfaces. Notion
of computer graphics standard. Notion of special techniques:
fractals, mesh generation, visual realism, IFS, geometric
modeling, animation.
MEC
1140 STATICS  (400) 4
Review of vector algebra. Equilibrium of a system of forces.
Internal and external forces. Equilibrium equations. Distributed
forces. Statically equivalent forces and moment resultants.
Couples. Center of gravity. Concentrated forces and moments.
Analysis of trusses. Introduction to the notion of stress
field. Forces and moments transmitted by slender members.
Project of truss structures.
MEC
1160 RIGID BODY DYNAMICS  (400) 4
Kinematics of rigid bodies in space: angular velocities, transformation
of vectors in different reference systems, angular acceleration,
velocity and acceleration, relations between velocities and
accelerations of two points fixed on a rigid body, velocity
and acceleration of a point that moves in relation of a rigid
body, rotation without slipping (gears, pulleys, belts, etc.),
systems of rigid bodies: (constraints and restrictions). Dynamics
of systems of particles: equations of motion, work and energy,
linear and angular momentum conservation. Introduction to
the dynamics of rigid bodies in space: variation of linear
and angular momentum, inertia tensor, kinetic energy, equations
of motion, free motion and gyroscopic effects. Dynamic of
rigid bodies in plane motion; modeling and simulating planar
mechanisms.
MEC
1164 MECHANICAL VIBRATIONS  (301) 4
Introduction to vibration and the fue response. Response to
harmonic excitation. General forced response. Some motions
about nonlinear behavior  the pendulum. Introduction to
Matlab. Multidegreeoffreedom Systems. Conservative and
nonconservative systems, Lagrange's equation, frequency response
function, nodal analysis. Distributed parameter systems. Vibration
of a string. Vibration of rods and beams. Vibration testing
and experimental modal analysis. Notions about the finite
element method.
MEC
1166 DYNAMIC SYSTEMS MODELING  (400)
Unified mathematical modeling of dynamic systems: mechanical,
electrical, thermal, pneumatic and hydraulic systems. Coupled
systems. Discrete and continuous systems. Bond graphs technique.
State equations. Matricial methods and numerical analysis
of the systems dynamic response. Stability and dynamic response.
MEC
1167 INTRODUCTION TO ROBOTICS  MODELING AND SIMULATION
 (400) 4
Introduction and classification of robots. Prismatic and revolute
joints. Degrees of freedom. Position and orientation of rigid
bodies. Homogeneous transformations. DenavitHartenberg notation.
Direct and inverse cinematics. Jacobians singularities. Stiffness
and manipulator dynamics. Trajectory analysis. Final project.
MEC
1168 CONTROL SYSTEMS  (400) 4
Control basic concepts. State space and linear and nonlinear
systems description. Feedback, stability and robustness. Poles
and zeros. Root locus method. Frequency response method. Controllability
and observbility. Optimal and adaptive control notions. Control
systems design.
MEC
1169 ELEMENTS OF AUTOMATION AND ROBOTICS  (301)
4
Basic principles of electronics. Sensors and transducers.
Inductive, resistive and capacitive sensors. Transducers for
position, velocity, pressure, temperature and force measurements.
Actuators. CC and Ac motors. Step motors. Laboratory classes
and final project.
MEC
1181 INTRODUCTION TO ACOUSTICS  (301) 4
Wave theory of sound: fundamental equation of acoustics, wave
equation, harmonic waves, plane waves, spherical waves, acoustic
energy, sound intensity and sound power. Measurse of sound.
Caracterization of acoustic noise. Acoustic polution. Transmition
and reflection of acoustic waves: acoustic impedance, interface
between two fluids, atenuation and absorption. Sound radiation:
pulsating sphere, sound sources, monopoles, dipoles and quadrupoles,
sound radiation by vibrating bodies, reciprocity. Waveguides:
acoustic waves in ducts e cavities, ressonators, Helmholtz
ressonator, orifices, acoustic filters. Numerical methods.
Special topics in acoustics: structural acoustics, active
and passive noise control. Laboratory practice: measurement
of sound power level and sound intensity, impedance
duct.
MEC
1200 SOLID MECHANICS I  (400) 4
Stress and strain. Basic concepts. Plane state of stress and
strain. Principal stresses. Mohr circle. Equilibrium equations
and strain displacements relations. Constitutive laws. Ideal
stressstrain relations. Torsion of circular shafts. Torsions
of thin walled members. Bending of beams. Normal stresses
in slender beams. Superposition. Shear stresses and shear
flow in pure bending. Plastic strains.
MEC
1202 SOLID MECHANICS II  (400) 4
Beams under bending. Displacements. Momentcurvature relations.
Superposition. Column buckling. Stability conditions. Failure
criteria under buckling. Energy methods. Castigliano's theorem.
Principle of minimum work. Introduction to the finite element
method. Curved beams. Displacements under inplane loadings.
Thick wall cilinders. Rotating disks. Straight beams under
general bending loadings conditions. Shear center. Beams on
elastic foundation.
MEC
1210 MECHANICAL BEHAVIOR OF MATERIALS  (401) 5
Static mechanical design under combined stresses. Strength
criterion for the several material classes. Fatigue: SN design
method, Wohler line, Goodman diagram. PalmGreeMiner rule.
Fracture mechanics fundamentals. Stress intensity factor.
Fracture tonghness. Fatigue crack propagation. High temperature
behavior. NortonArrhenius laws. LarsonMiller parameter.
Damage mechanisms in high temperature. Mechanical tests laboratory.
MEC
1214 MACHINE ELEMENTS DESIGN  (4OO) 4
Introduction to mechanical engineering design. The phases
of design. Stress and strain analysis (review). Statistical
considerations. Design of mechanical elements: shafts and
axles; screws; fasteners and keys; welded joints; mechanical
springs; rolling contact bearings; journal bearings; wire
rope; belts; roller chains; spur and jhelical gears; clutches
and brakes.
MEC
1216 DESIGN OF MECHANICAL SYSTEMS  (220) 3
General consideration on function, cost, environment, product
liability, safety and use of codes and standards. I) Design
of mechanical systems following codes. For example: design
of pressure vessels following the ASME code. II) Structural
design using numerical calculations. For example: design of
a moving crane. III) Design of complex systems with the associated
selection and specification of standard basic machine elements.
IV)
Dynamics considerations on design. For example: vehicle suspension.
MEC
1301 THERMODYNAMICS  (400) 4
Introduction to heat engines. Concepts and definitions. Steam
tables. Basic experiments: pressure, specific volume and temperature.
Work and heat. First law of thermodynamics. Entropy. Second
law of thermodynamics. Air tables. Irreversibilities. Energy
availability. Final project.
MEC
1303 THERMAL MACHINERY  (401) 5
Heat sources. Combustion. Nuclear fission and fusion. Steam
power cycles. Steam turbines. Boilers. Condensers. Internal
combustion engines. Gas turbines. Compressors. Refrigeration
systems. Ar conditioning systems. Design thermal machinery.
Laboratory: calorimeter, testing of a steam turbine, Rankine
cycle, internal combustion engine, testing of reciprocating
compressor, refrigeration cycle.
MEC
1315 TRANSPORT PHENOMENA  (401) 4
Introduction to transport phenomena. Fundamentals of thermodynamics.
Fluid flow. Basic equations of fluid dynamics. Incompressible
viscous flow. Heat transfer. Convection heat transfer. Radiation
heat transfer. Mass transport.
MEC
1320 FLUID MECHANICS I  (401) 5
Definition of fluid properties. Methods of analysis. The hypothesis
of continuum. Velocity and stress fields. Mechanical behavior:
Newtonian and NonNewtonians fluids. Flow classification:
steady/transient, laminar/turbulent, viscous/inviscid, incompressible/compressible.
Dimensional analysis and similitude. Hydrostatics. Basic equations
for a control volume: continuity, linear momentum, angular
momentum, energy and Second law of thermodynamics. Energy
considerations for the flow through tubes and ducts. Head
losses in pipelines; local losses. Duct networks. Applications
to pumps. Velocity and flow meters. Flows along open channels.
Laboratory practice.
MEC
1322 HYDRAULIC MACHINERY  (402) 5
Selected fluid mechanics topics applied to turbomachinery.
Machines for supplying energy to liquids. Positive displacement
pumps and rotodynamic or turbopumps. Hydraulic turbines. Francis,
Pelton, Kaplan and Straflo turbines. Their characteristics,
design and instalation. Testing of hydraulic prime movers.
Reduced scale model tests. Hydraulic transmissions (hydraulic
drive). Torque converters. Fans: choice of the suitable type.
Project of radial and axial fans.
MEC
1323 POWER, REFRIGERATION AND HYDRAULIC MACHINERY 
(401) 4
Thermodynamic processes. Available energy. Thermophysical
properties of water. Tables and chart of common working fluids.
Steam machinery: efficiency and fuel consumption. Steam and
gas turbines: losses and part load power control. Internal
combustion engines: efficiency and fuel consumption. Air compressors.
Selected topics on the fluid mechanics of turbomachinery.
Pumps. Francis, Pelton and Kaplan hydraulic turbines: characteristics
and installation. Testing of reduced scale models. Renewable
energy sources. Refrigeration. Laboratories of internal combustion
engines, refrigeration, hydraulic turbines and pumps.
MEC
1327 COMPUTATION TRANSPORT PHENOMENA  (400) 4
Numerical methods for fluid mechanics and heat transfer. Finite
difference and finite volume methods. Diffusion and convectivediffusion
equations. One dimension and two dimension systems. Solution
of systems of algebric equations. Solution of engineering
problems: fins, viscous flow, boundary layear, potential flow,
hydrodinamic and thermally fully developed flow, ducts net
and shocks.
MEC
1328 MECÂNICA DOS FLUIDOS II  (3000) 3
Basic differential equations: contonuity, momentum (Euler
and NavierStokes). Rotational and orrotational flows. Internal
and external incompressible viscous flow. Fully developed
hydrodynamic flow. Boundary layer theory. Compressible flow.
Speed of sound. Reference conditions: stagnation and critic.
Isoentropic flow through nozzles. Flow through constant area
ducts: Fanno and Rayleigh flows. Normal shock.
MEC
1330 REFRIGERATION  (400) 4
Refrigeration fundamentals. Applications. Refrigeration systems.
Absorption cycle. Aircycle refrigeration. Vapor ejection
cycle. Vapor compression cycle. Ph diagram. Actual cycle.
Comples cycles. Thermal insulation. Cold chambers. Thermal
load calculation. Industrial refrigeration.
MEC
1331 AIR CONDITIONING ENGINEERING  (410) 4
Fundamentals of psychrometry. Psychrometric chart. Air conditioning
processes. Performance and specification of cooling coils.
Thermal loads: analysis and design data. Thermal load of equipments,
operating conditions and specification. Cooling towers: thermal
load, operating conditions and specifications, air washers.
Refrigeration cycles. Air conditioning systems and components.
Design and specification of an air conditioning system.
MEC
1340 HEAT TRANSFER  (400) 4
Fourier's law. Thermal properties. Heat diffusion equation.
One dimensional, steady state conduction. Two dimensional,
steady state conduction. Transient conduction. Convection.
External flow. Internal flow. Free convection. Boiling and
condensation. Heat exchangers. Radiation: processes and properties.
Radiation exchange between surfaces.
MEC
1341 PROJECT OF THERMAL SYSTEMS  (220) 3
Analysis of typical projects. Projects steps: needs identification,
conception, economical analysis (viability), Basic and executive
development of one complete thermoproject according to standards.
MEC
1401 MECHANICAL DRAWING  (202) 4
Conventional draw of cuts and sections of mechanical elements.
Dimensioning of mechanical parts: dimensioning the final product
and dimensioning for production (manufacturing processes).
Symbols to represent surface finishing Brazilian standards
and ANSI. Surface roughness and uniformity. Introduction to
the ISO system of tolerancies and fittings. Indication in
mechanical drawings. Representing and dimensioning of power
transmitting elements. Drawing and dimensioning of rolling
and journal bearings. Couplings. Pulleys, sheaves and fly
wheels. V belt drives and plane belts. Orientation for reading
and interpretation of mechanical devices, sheetmetallforming,
complete mechanisms of metalcutting machines and others.
Conventional engineering designs and computeraided design
and automated drawing. Computer laboratory (CAD).
MEC
1410 MECHANICAL TECHNOLOGY  (222) 4
Manufacturing processes: machining processes, metal forming
processes, nonconventional manufacturing processes, machines
for metal machining. Geometrical relationshipes and moviments
related to the machining processes. . Tools for macining processes.
Machinability. Cutting fluids. Economics in machining processes.
Selecting speeds for metalcutting operation. Steeped drives.
Speed gearboxes in metalcutting machines. Workshop works.
MEC
1412 METROLOGY  (202) 4
Techniques and control of manufacturing processes. Measurement
errors. Instruments for direct and comparative measurements.
Tolerance systems. ISSO standards. Tolerances. Basic hole
and basic shaft systems. Fittings. Running, sliding and interference
fits: measurement and control of conical elements. Threads.
Thread systems. Control and measurement of threads. Thread
tolerances. Gages. Calipers. Measurement and control of gears.
MEC
1415 MANUFACTURING PROCESSES  METAL FORMING  (400)
4
General characteristics and products of metal forming processes.
Influence of stress states, strainrates, temperature, friction
and microstructures on cold and hot working processes. Strain
hardening. Fundamentals of plasticity. Forming force calculation:
slab method, upper bound method. Processes, equipment, technology
and calculation of force and power for cold and hot rolling
forging, foward and back extrusion and drawing. Sheetmetal
forming. Formability of sheet metals. Processes, equipment,
technology and design of dies for shearing, bending, deep
drawing and stretch forming. Other sheetforming methods:
spinning rubber, explosive and superplastic forming.
MEC
1420 MANUFACTURING AUTOMATION  (400) 4
Programmable logic controlers and numerically controled machines.
Flexible manufacturing cells. CAD/CAM/CAE. Industrial robots
and their industrial application. Automation and society.
Robot oriented design.
MEC
1461 INTRODUCTION TO POLYMER PROCESSING  (400) 4
Viscosity of polymeric liquids. Flows of molten polymers in
geometries of interest. Thermal and mechanical design of fabrication
processes of polymeric parts. Polymer extrusion. Fiber and
film fabrication. Injection casting and molding. Calendering
and coating.
MEC
1510 INTERNAL COMBUSTION ENGINES  (302) 4
Introduction: classification, basic components, applications,
characteristic curves, engine variables. Thermodynamic cycles:
airstandard cycles, combustion cycles, actual indicated cycles.
Gas exchange process. Combustion. Engine simulation.
MEC
1520 INDUSTRIAL LUBRICATION  (300) 3
Refining and treatment of mineral oils. Lubricants substances.
Manufacturing of oil and greases. Properties of oil and greases.
Aditives. Methods of application. Lubrication of machinery
elements. Lubrication of specific industries. Testing and
intrepretation of used oils. Storage of lubricants. Used oil
recovery. Organization of industrial lubrication.
MEC
1561 INDUSTRIAL AIR POLLUTION CONTROL  (400) 4
Introduction. Air pollutants. Regulations and standards. ISO
14000. Aerosol fundamentals. Equipment for controlling particulate
pollutants (cyclones, electrostatic precipitators, fabric
filters and particulate scrubbers). Physical and chemical
properties of gaseous systems. Equipment for controlling gaseous
pollutants: VOC incinerators, gas adsorption, gas absorption,
control of sulfur oxides and nitrogen oxides.
MEC
1562 PARTICULATE POLLUTANTS MEASUREMENT  (400) 4
Introduction: the behavior of aerosol systems. Fluidparticles
interactions. Physical and chemical changes in particulate
systems. Aerosol sampling and transport. Methods for aerosol
measurement. Aerosol measurement quality. Data analysis and
presentation. Techniques and instrumentation. Applications.
MEC
1601 INSTRUMENTATION FOR MECHANICAL ENGINEERING  (103)
4
Introduction to electronic circuits. Transistors. Amplifiers,
filters and oscilators. Voltage regulators. Precision circuits.
Basic digital electronic. A/D conversion circuits. Microcomputers.
Signal measurement and processing.
MEC
1602 EXPERIMENTAL METHODS IN MECHANICAL ENGINEERING
 (103) 4
Introduction: definitions, standards, dimensions and units,
technical report. Uncertainty analysis of experimental data.
Pressure measurement. Flow and velocity measurement. Temperature
measurement. Force, torque, starin, acceleration and velocity
measurements. Sound measurements.
MEC
1701 NUMERICAL METHODS IN MECHANICAL ENGINEERING 
(400) 4
Ordinary differential equations. Initialvalue problems. Numerical
quadrature, stability, error analysis. Boundary value problems.
Partial differential equations. Finite volume methods. Solution
of equations. Systems of equations. Finite element methods.
Mechanical engineering applications. Analytic and semianalytic
solutions.
MEC
1901 INDUSTRIAL BUSINESS PLANNING  (ENTREPENEURSHIP III)
 (400) 4
Marketing and the industrial policies, the organization of
a industrial company including it's legal and formal aspects.
The entrepreneur. Trading technics. Marketing planning. Finance
planning and business. Methodology for business planning.
