Mechanical Engineering

Summary of Disciplines

CODE Course - (number of class hours) Number of credits - Pre-requisite 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; Pre-requisites - are the courses that must be taken prior to registering at this course Example: ART 1023 Geometric Drawing I - (2-0-2) 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; Pre-requisites -ART 1022

MEC 1005 GRADUATION PROJECT - (0-4-0) 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 - (0-4-0) 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 - (0-40-0) 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 - (2-2-0) 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 - (4-0-0) 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 - (4-0-0) 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 - (4-0-0) 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 - (3-0-1) 4
Introduction to vibration and the fue response. Response to harmonic excitation. General forced response. Some motions about non-linear behavior - the pendulum. Introduction to Matlab. Multi-degree-of-freedom Systems. Conservative and non-conservative 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 - (4-0-0)
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 - (4-0-0) 4
Introduction and classification of robots. Prismatic and revolute joints. Degrees of freedom. Position and orientation of rigid bodies. Homogeneous transformations. Denavit-Hartenberg notation. Direct and inverse cinematics. Jacobians singularities. Stiffness and manipulator dynamics. Trajectory analysis. Final project.

MEC 1168 CONTROL SYSTEMS - (4-0-0) 4
Control basic concepts. State space and linear and non-linear 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 - (3-0-1) 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 - (3-0-1) 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 - (4-0-0) 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 stress-strain 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 - (4-0-0) 4
Beams under bending. Displacements. Moment-curvature 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 in-plane 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 - (4-0-1) 5
Static mechanical design under combined stresses. Strength criterion for the several material classes. Fatigue: SN design method, Wohler line, Goodman diagram. Palm-Gree-Miner rule. Fracture mechanics fundamentals. Stress intensity factor. Fracture tonghness. Fatigue crack propagation. High temperature behavior. Norton-Arrhenius laws. Larson-Miller parameter. Damage mechanisms in high temperature. Mechanical tests laboratory.

MEC 1214 MACHINE ELEMENTS DESIGN - (4-O-O) 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 - (2-2-0) 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 - (4-0-0) 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 - (4-0-1) 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 - (4-0-1) 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 - (4-0-1) 5
Definition of fluid properties. Methods of analysis. The hypothesis of continuum. Velocity and stress fields. Mechanical behavior: Newtonian and Non-Newtonians 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 - (4-0-2) 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 - (4-0-1) 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 - (4-0-0) 4
Numerical methods for fluid mechanics and heat transfer. Finite difference and finite volume methods. Diffusion and convective-diffusion 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 - (3-0-00) 3
Basic differential equations: contonuity, momentum (Euler and Navier-Stokes). 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 - (4-0-0) 4
Refrigeration fundamentals. Applications. Refrigeration systems. Absorption cycle. Air-cycle refrigeration. Vapor ejection cycle. Vapor compression cycle. P-h diagram. Actual cycle. Comples cycles. Thermal insulation. Cold chambers. Thermal load calculation. Industrial refrigeration.

MEC 1331 AIR CONDITIONING ENGINEERING - (4-1-0) 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 - (4-0-0) 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 - (2-2-0) 3
Analysis of typical projects. Projects steps: needs identification, conception, economical analysis (viability), Basic and executive development of one complete thermo-project according to standards.

MEC 1401 MECHANICAL DRAWING - (2-0-2) 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, sheet-metall-forming, complete mechanisms of metal-cutting machines and others. Conventional engineering designs and computer-aided design and automated drawing. Computer laboratory (CAD).

MEC 1410 MECHANICAL TECHNOLOGY - (2-2-2) 4
Manufacturing processes: machining processes, metal forming processes, non-conventional 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 metal-cutting operation. Steeped drives. Speed gearboxes in metal-cutting machines. Workshop works.

MEC 1412 METROLOGY - (2-0-2) 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 - (4-0-0) 4
General characteristics and products of metal forming processes. Influence of stress states, strain-rates, 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. Sheet-metal forming. Formability of sheet metals. Processes, equipment, technology and design of dies for shearing, bending, deep drawing and stretch forming. Other sheet-forming methods: spinning rubber, explosive and superplastic forming.

MEC 1420 MANUFACTURING AUTOMATION - (4-0-0) 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 - (4-0-0) 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 - (3-0-2) 4
Introduction: classification, basic components, applications, characteristic curves, engine variables. Thermodynamic cycles: air-standard cycles, combustion cycles, actual indicated cycles. Gas exchange process. Combustion. Engine simulation.

MEC 1520 INDUSTRIAL LUBRICATION - (3-0-0) 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 - (4-0-0) 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 - (4-0-0) 4
Introduction: the behavior of aerosol systems. Fluid-particles 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 - (1-0-3) 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 - (1-0-3) 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 - (4-0-0) 4
Ordinary differential equations. Initial-value 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 semi-analytic solutions.

MEC 1901 INDUSTRIAL BUSINESS PLANNING - (ENTREPENEURSHIP III) - (4-0-0) 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.