Elements of technical drawing. Schematic representations. Blueprint reading. Descriptive Geometry.

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Elements of technical drawing. Schematic representations. Blueprint reading. Descriptive Geometry. Problems of right and plan. Introduction to assemblies. Concept of force. Force systems: fundamental laws of balance in the plane and in space.

Vector methods. Mesh, frames and machines. Application to simple mechanisms. Center of mass. Beams and cables. Coulomb friction and slippage. Virtual work. The student must write technical reports and prepare and provide technical conferences. It also develops critical thinking and sense of responsibility. Finally, the course uses all fields of application engineering. Elements of algorithms required for the resolution of proposed problems.

Verifications and validations of responses software used. Introduction to software Maple and Matlab for symbolic calculations for numerical calculations. Complex numbers; polynomials. Differential equations of the first order and first degree; numerical methods. Second order differential equations of special types. Linear differential equations of order n with constant coefficients. Systems of differential equations.

Fluid statics. Kinematics of fluids. Dynamics of a non-viscous incompressible fluid. Basic applications of conservation of mass principles, momentum, angular momentum. Some fluid mechanics measurement techniques. Differential analysis of fluid flows: mass conservation, potential flow, incompressible Navier-Stokes equation. Dimensional analysis and model theory. Mechanical functions. Threads, connecting elements, bearings, gears, etc.

Manufacturing processes: casting, forging, machining, etc. Functional dimensioning: functional analysis, tolerancing, adjustments, etc. Practical: blueprint reading, dimensional drawings, assembly drawing definition drawings.

Revision of some mechanical properties of common materials. Normal force. State of stress and strain at a point of a solid charge. Bending moment and shear in the long beams with low curvature. Compression beams: buckling. Multiple integrals, curvilinear coordinates, applications.

Calculation of vector fields. Integrals on curves and surfaces: applications, traffic, work, flux. Fundamental theorems: Stokes, Gauss; applications to physics. Linear algebra. Solving nonlinear systems. Integration and derivation. Finite differences. Differential equations of the first order. Properties of pure substances, phase balance of thermodynamic variables tables. Work and heat. Notions of systems and control volumes. First principle. Second principle. Notions machines, refrigerators and heat pumps.

Ideal gas mixtures: volumetric and gravimetric analysis, properties. Fatigue: Goodman diagram, cumulative damage. Screw: Mechanical screw, self-locking torque-tension. Bolts: mechanics of a bolted joint, resistance. Assemblages: failure modes, analysis efforts. Bearings: Nomenclature, load calculation and duration.

Spur Gears: Nomenclature, gear trains single, global. Welding: mechanical resistance. Dynamics of material point: force-acceleration equation, work and energy, impulse and momentum, particular problems. Hardware systems. Solid kinematic: a strong movement, velocity field, field acceleration, rotating frame.

Solid dynamics: equations of motion, work-energy equations, equations of momentum. Solid mechanics in three dimensions: kinematic, kinetic movement, dynamics of solid. Incompressible external flows: boundary layer concept, transition and separation, friction drag and pressure drag, body shapes and not profiles, lift force. Compressible flows: thermodynamics, classification, isentropic flow in nozzles and diffusers Application, straight shock waves.

Numerical methods for partial differential equations: finite differences, finite elements. It allows to choose among several options, the one that is the most profitable economically. It is intimately linked to Microeconomics. The primary objective of this course is to transmit to the engineering student several principles and methods of economic analysis in the perspective of an engineering project.

The course covers the following concepts: the time value of money, cash flow analysis, comparison of opportunities, issues associated with certain methods of analysis, methods of depreciation, replacement analysis, taxation, the cost of capital and cash flow after tax, inflation and uncertainty, decision making. Introduction to combustion and fuel. Piston engines: Theoretical cycles, fuels, some practical aspects.

Gas turbines: simple, improved and combined cycles, with or without cogeneration, engine operating principles jet. Refrigeration cycles. Compressors: classification; general features; alternative and rotary compressors; turbochargers. Modeling techniques. Constant force excitation by unbalance and movement of the support. Vibration isolation.

Precession of trees. Transient vibration impacts. Convolution integral, Laplace solution applications. Vibrations of a multiple degree of freedom system. Vibration damping, dynamic damper. Coordinate coupling. Coefficients of influence of rigidity and flexibility. Eigenvalues and vectors. Decoupling of a system of differential equations. The main objective is to get students to be able to dissect a complex problem in order to analyze it through a synthesis of theory already seen.

An introduction to the methodology of the modeling will be introduced and students will need to integrate these concepts to different concepts covered in previous courses by applying them to real systems to increasing complexity in the following areas: mechanical, hydraulic, thermal, electrical. Analogies can be made between electrical, hydraulic, thermal or mechanical.

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