Mechanical Engineering

Computer-aided design (CAD) is a tool that is central to modern Mechanical Engineering design practice. CAD involves the use of interactive computer graphics to create and analyse mechanical designs. Students will develop an understanding of CAD concepts through lectures, hands-on class assignments and a term project. Students will use a commercial CAD software package to put theory into practice. PREREQ: ENGR 1501. (lec 3, tut 1.5) cr 3.

Cours d'initiation aux principes fondamentaux de la chimie. Contenu du cours : la structure électronique des atomes et des molécules, la chimie nucléaire, la stoéchiométrie, le tableau périodique et la périodicité chimique, et les propriétés des solutions. Préalable : un cours de chimie (12e 4U) ou CHMI 1041 ou la permission du département. (3 h, 2 labo, 1 tr.d.) 3 cr.

Au moyen d'applications, le cours présente un traitement soutenu du calcul différentiel ainsi qu'une initiation au calcul intégral. Il examine les matières suivantes : limites, continuité et dérivées des fonctions, fonctions de base, approximation par les polynômes de Taylor, formes indéterminées et règles de l'Hôpital, applications pratiques, sommation, intégration, techniques d'intégration, l'aire d'une région et volumes. Préalable : cours de 12e 4U en Fonctions avancées (minimum 60 %) ou MATH 1912 ou l'équivalent. (3 h, 1 tr.d.) 3 cr.

Au moyen d'applications, le cours présente un traitement soutenu du calcul intégral ainsi qu'une initiation à plusieurs matières connexes. Quelques techniques d'intégration supplémentaires sont étudiées ainsi que l'intégration par approximation, les intégrales impropres et une initiation aux équations différentielles ordinaires d'ordre 1. Cela est suivi d'une étude des courbes paramétriques et polaires et du calcul d'aires, de surfaces, de volumes et de longueur d'arc. L'étude des suites, des séries, des séries entières et des séries de Taylor est ensuite abordée. Enfin, le cours se termine par une initiation aux fonctions de plusieurs variables. Préalable : MATH 1036. (3 h, 1 tr.d.) 3 cr.

Topics include simultaneous linear equations, matrices and determinants, vector spaces and linear transformations, eigenvalues and eigenvectors, applications to analytic geometry, and complex numbers. PREREQ: grade 12 4U finite mathematics or algebra, or MATH 1911 or equivalent. (lec 3) cr 3.

Ce cours est le premier de deux cours d'initiation à la physique. Ce cours couvre la mécanique (dynamique et cinématique), les vecteurs et l'énergie, les propriétés de la matière, la chaleur et la thermodynamique, et les ondes. Tout le long du cours, des exemples seront tirés des sciences physiques et de la vie (3 h, 1 tut, 3 labo) 3 cr. On ne peut obtenir de crédits à la fois pour PHYS 1206 et PHYS 1006.

Ce cours est le deuxième de deux cours d'initiation à la physique. Ce cours couvre l'optique géométrique, l'électricité et le magnétisme, et la physique moderne. Tout le long du cours, des exemples seront tirés des sciences physiques et des sciences de la vie. Préalable: PHYS 1006 ou l'équivalent. (3 h, 1 tut, 3 labo) 3 cr.

Topics include statics of particles, rigid bodies, equilibrium, centroid and centre of gravity, structures and frames, friction, and second moment of area. (lec 3, tut 1) cr 3. Lecture (3.00).

Topics include kinematics and kinetics of particles, Newton's Second Law, work and energy, impulse and momentum, conservation of energy, conservation of angular momentum, systems of particles, and rotational kinematics of rigid bodies. PREREQ: ENGR 1056. (lec 3, tut 1) cr 3.

This course introduces students to the engineering profession, including licensing, ethics, and duty to the public. Written, oral, visual, and graphical methods of technical communications are described. The engineering design process is presented and applied using a group project where students will generate, iterate, and construct working solutions to a given problem. (lec 3, lab 1.5) cr 3.

Le cours traite les sujets suivants : approche intuitive des probabilités et statistique descriptive, notions de base en probabilité et variables aléatoires discrètes (distribution hypergéométrique, Bernouilli et binomiale), variables aléatoires continues (densité uniforme, gamma et normale), théorème central limite, estimation ponctuelle, test d'hypothèses (sur les proportions, moyennes, variances, tableaux de contingence et la régression/corrélation). Préalable : MATH 1036. (3 h, 1 tr.d.) 3 cr. On ne peut obtenir de crédits que pour l'un des cours suivants STAT 2246, STAT 2166, STAT 2066, MATH 2246, MATH 2236, MATH 2261, ou ENGR 2017.

Health and Safety Training course with four modules is for engineering student's competencies in health and safety. It provides a basis for advancing Health and Safety knowledge and skills for students and for defining minimum industry knowledge requirements in Health and Safety. It will help future engineers better understand their legal, moral, ethical and societal responsibilities and properly prepare them for the workplace. Contents covered in this module I course include introduction to health and safety, an Introduction to hazards, risks and controls, with a focus on electrical safety, fire safety, laboratory safety, and working at heights. PREREQ: Admission to any engineering program in the School of Engineering and Computation. (Lec) cr 0.

This course offers an introduction to oral and written communication in engineering. The course requires the writing of memos, letters, proposals and engineering reports. Oral presentations are required. (lec 2, tut 3) cr 3. Lecture (3.00).

This course introduces the mechanical, chemical, electrical and thermal properties of materials. It examines the structure and properties of metals and alloys, polymeric and refractory materials. lec. 3, lab 1.5, cr 3. PREREQ: ENGR-0100EL

This course is a study of stress, strain and stress-strain relations. Topics include mechanical properties of engineering materials; principal stresses (statically determinate and statically indeterminate members subjected to axial loads and torsion); shear force and bending moment diagrams; beam theory; eccentric loads; strain energy; pressure vessels; and failure theories. Laboratory experiments include tests for the evaluation of the mechanical properties of materials in tension, torsion, flexure, creep, impact and fatigue; and hardness tests and strain measurements. PREREQ: ENGR 1056. (lec 3, lab 1.5) cr 3. Lecture (3.00), Lab (3.00).

This course introduces some power and refrigeration cycles. It examines thermodynamic relations involving properties of state, thermodynamic properties of mixtures, P-V-T relations in gases and gaseous mixtures, equations of state, and properties of a system in equilibrium and their application to basic engineering processes. PREREQ: ENGR 2036. (lec 3, tut 1) cr 3.

Topics include unsymmetrical and inelastic bending of beams; shear stresses in beams and shear centre; energy principles and virtual work; deflection of beams; statically indeterminate beams; buckling of columns; eccentrically loaded columns; introduction to design of beams and columns; and welded and bolted connections. Laboratory experiments include determination of principal stresses under combined loading, deflection of beams, unsymmetrical and inelastic bending, composite beams, buckling of columns and structural connections. PREREQ: ENGR 2076. (lec 3, lab 1.5) cr 3.

Topics include kinematics and kinetics of rigid bodies, forces and accelerations energy and momentum methods, principles of structural dynamics, and mechanical vibrations of one and two degrees of freedom. PREREQ: ENGR 1057 and MATH 2066 (this course may be taken concurrently). (lec 3) cr 3.

This course introduces problem analysis and structured program design. Control structures for conditional execution, repeated execution, subprograms and recursion are examined. Representation of information, including homogeneous and non-homogeneous linear data structures and files, is investigated. PREREQ: Grade 12 4U mathematics or computer science. (lec 3, lab 1.5, tut 2) cr 3.

This course takes a software engineering approach to programming with particular attention on modularity, abstract data types, program specification, testing, documentation and maintenance. Emphasis is placed on software with reusable software libraries. Other topics include file input and output, recursion, text processing, graphical user interfaces and object-oriented program design, including classes, inheritance, and polymorphism. The course also introduces data structures including abstract data types, collection classes, and programming with generic types. PREREQ: COSC 1046. (lec 3, lab 1.5) cr 3.

The basic concepts of engineering thermodynamics are introduced with their engineering applications in energy transformations and in the relation of energy to the state of matter. Fundamental laws, concepts and control mass and control volume analysis, which underlie all applications of energy conversion in engineering processes, are examined. PREREQ: PHYS 1006. (lec 3, tut 1) cr 3. Lecture (3.00).

This course is a study of the properties of fluids, continuity, energy and momentum equations, pipe flow, flow measurement, open-channel flow, pumps, and compressors. PREREQ: ENGR 1056. (lec 3, lab 1.5) cr 3. Lecture (3.00).

This course includes the treatment of first order differential equations, second order linear differential equations, higher order linear differential equations with constant coefficients, Taylor series solutions, and systems of first order linear DEs including matrix based methods. PREREQ: MATH 1037 and MATH 1057. (lec 3) cr 3.

This course is a study of number system; errors and the numerical solution of non-linear equations; and systems of linear equations. Further topics include Lagrange interpolation and least-squares method; numerical integration and differentiation; and an introduction to the numerical solution of ordinary differential equations. PREREQ: MATH 1057, MATH 2066, and either COSC 1046 or COSC 2836. (lec 3) cr 3. Cross-listed as COSC 3416; students may not retain credit for both MATH 3416 and COSC 3416.

Health and Safety Training course with four modules is for engineering student's competencies in health and safety. It provides a basis for advancing Health and Safety knowledge and skills for students and for defining minimum industry knowledge requirements in Health and Safety. It will help future engineers better understand their legal, moral, ethical and societal responsibilities and properly prepare them for the workplace. Contents covered in this module II course include hazard identification; risk management; codes, standards, regulations; mental health in the workplace, academia; leadership and management systems; incident investigation, causal analysis; and professional ethics. PREREQ: ENGR 0100 EL and a minimum of 24 university credits. (Lec) cr 0.

This course introduces data structures and their associated algorithms. Topics include dynamic memory, stacks, queues, linked lists, searching and sorting algorithms, trees, binary search trees, balance trees, B-trees, recursive programming techniques, and graph algorithms. Time and space requirements are also analyzed for the above algorithms. PREREQ: COSC 1047 and COSC/MATH 1056. (lec 3) cr 3. Note: Engineering students require only COSC 1047 as their prerequisite.

This course introduces the fundamental theory, methods, and process of finite element analysis in mechanical engineering. Contents include principle of virtual work, domain discretization, shape functions, isoparametric finite elements, element derivation and types, stiffness matrix, assembly procedure, boundary conditions, and solution methods. A commercial program will be utilized in tutorial demonstrations and course projects. PREREQ: ENGR 2587 and MATH 2066. (lec 3, lab 1) cr 3. Lecture (3. 00).

This course addresses the synthesis of machine elements with a focus on the design process. Topics include static and fatigue analysis of materials and structures; design of welds and bolted connections; and design and analysis of fundamental mechanical machine elements such as bearings, springs and gears. PREREQ: ENGR 2026 and ENGR 2587. (lec 3, tut 1) cr 3. Lecture (3.00).

This course builds on materials topics with an emphasis on manufacturing processes involving metals, polymers and plastics. Topics include advantages and limitations of manufacturing processes; relative cost and production rates of competitive processes; computer-integrated manufacturing; and automation of manufacturing processes and systems and product design for manufacture. PREREQ: ENGR 2026. (lec 3, tut 1) cr 3.

The first part of the course deals with the basic principles of ventilation system design and quality and quantity control aspects of air. Selection of economic size of airways and auxiliary ventilation systems are studied. The second part deals with the theory and applications of ventilation fans, instrumentation, survey techniques and conditioning of air flows. The capture velocities of dust and balanced dust and fume control system design and efficiency of air filtering systems are examined. PREREQ: ENGR 2036 and ENGR 2097. (lec 3, lab 1.5) cr 3. Lecture (3.00).

This course provides an overview of the modeling and simulation of dynamic systems. Mathematical models of mechanical, electrical, electromechanical, thermal and fluid systems are obtained in differential equation form. Alternative representations of dynamic system models are introduced, including transfer functions, block diagrams and the state-space formulation. Methods based on the Laplace transform are used to compute the response of dynamic systems in analytical form. Numerical simulations of system response are also performed using software tools such as MATLAB/SIMULINK®. System response is represented in both the time and frequency domains and standard system characteristics and performance indices are defined. Through lab exercises, dynamic systems are designed according to specified requirements and constraints. PREREQ: ENGR 2506 and MATH 2066 (lec 3, lab 1.5) cr 3.

This course deals with feedback control systems design and analysis with emphasis on mechanical engineering applications. Topics include transient and frequency response characteristics; system performance; control modes; stability of feedback systems; frequency response and root locus analysis; design of different types of controllers; and introduction to digital control systems. PREREQ: ENGR3546. (lec 3, lab 2) cr 3. Lecture (3.00).

This course begins with a review of circuit analysis, basic electromagntic theory and electromechanical energy conversion. The theory of operation of direct current motors and generators, transformers, induction motors, servo motors and stepper motors is covered. The course also explores different interfacing and power electronics circuits such as H bridges, power amplifiers and Pulse Width Modulation to control the speed and torque of the electromechanical actuators. The lab component of the course focuses on the performance assessment and characterization of electromechanical actuators and the design of power electonic systems for their control. PREREQ: PHYS 1007 and MATH 2066. (lec 3, lab 2) cr 3.

This course deals with microprocessor interfacing to different systems for data acquisition and control purposes. The peripheral connections and various methods of interfacing such as parallel, serial and analog are addressed from theoretical and practical points of view. The lab component focuses on designing, integrating and programming microprocessor controlled systems. PREREQ: COSC 1047 and PHYS 1007. (lec 3, lab 2) cr 3.

This course covers the physical and mathematical principles in fundamental fluid mechanics. Topics include differential analysis, conservation equations, Navier-Stokes equations, inviscid flows, potential flows, viscous flows, boundary layers, drag and lift, compressible flows, turbomachinery, and computer solutions and applications. PREREQ: ENGR 2036, ENGR 2097, and MATH 2066. (lec 3, lab 1.5) cr 3.

This course covers the mathematics of finance. Topics include engineering decision making, present worth analysis, cash flow analysis, annual equivalent worth analysis, rate of return analysis, depreciation and financial accounting, income taxes, inflation and economic analysis, methods of financing projects, replacement decisions, capital budgeting decisions, and economic analysis in the public sector. Sensitivity (uncertainty) and probabilistic (risk) analysis is also covered. lec. 3. cr. 3 PREREQ: ENGR-0200EL and a minimum of 36 credits.

This course introduces students to important aspects of the engineering design process. Particular focus is paid to reduction of risk and prevention of failures in the context of the design process. The engineering design process is presented and applied using a group project where students evaluate an existing design or product and generate improvements to an aspect of the design. PREREQ: ENGR-1017 and minimum of 72 university credits (lec 2, lab 2.5) cr 3.

The course introduces students to the concepts of project management in the context of engineering design. Students apply standard tools and processes to lead engineering projects throughout the life cycle, with a particular focus on the management of project scope, schedule, quality, cost, resources and risk. Students are provided with the opportunity to apply the principles of engineering project management to real-world projects. PREREQ: Minimum of 72 university credits (lec 3, lab 1.5) cr 3.

Health and Safety Training course with four modules is for engineering student's competencies in health and safety. It provides a basis for advancing Health and Safety knowledge and skills for students and for defining minimum industry knowledge requirements in Health and Safety. It will help future engineers better understand their legal, moral, ethical and societal responsibilities and properly prepare them for the workplace. Contents covered in this module III course include hazard identification (a continuation); risk management (a continuation); codes; incorporating safety into engineering design; human factors; business case for safety and safety leadership; and professional ethics (a continuation). PREREQ: ENGR 0200EL and a minimum of 48 university credits. (Lec) cr 0.

This course introduces computer networks including the OSI model, communications protocols (TCP, IP, UDP, and ICMP), network topologies, routing, web systems, and network security. PREREQ: COSC 2006. (lec 3, lab 1) cr 3.

This course focuses on the application of the principles of heat transfer to problems commonly encountered in engineering. The fundamentals of conduction, convection, radiation, heat exchangers and heat transfer with phase change are examined and applied. Both steady-state and transient regimes are addressed. PREREQ: MATH 2066 and MATH 3416 (lec 3, lab 1.5, tut 1.5) cr 3

This course presents techniques and devices for the measurement of physical quantities such as force, strain, pressure, temperature, fluid flow, position, velocity and acceleration. Topics include the selection and application of transducers; sensor models, calibration and dynamic response of measurement systems; signal conditioning, methods of data acquisition and recording; uncertainty analysis; and the design of measurement systems. The laboratory provides experience with practical measurements, calibration of sensors, and data analysis. PREREQ: MATH 2066, STAT 2246, ENGR 2587 and 3526. (lec 3, lab 2) cr 3.

This course presents techniques for the mathematical modelling, analysis and design of discretetime feedback control systems. Topics include signal sampling and data reconstruction; modelling of discrete-time systems based on z-transform; stability analysis techniques for discrete-time control systems; and techniques for the design of digital controllers and compensators. The computer and physical laboratories provide experience with the design, and implementation and performance analysis of digital controllers. PREREQ: ENGR 3547. (lec 3, lab 1.5) cr 3

This course introduces number systems, Boolean algebra, logic design, and minimization techniques. It also covers programmable logic devices, combinational and sequential logic, PLC programming, microprocessor architecture, memory, and input/output logic elements. Laboratory work includes PLC and FPGA programming. PREREQ: ENGR 3577. (lec 3, lab 2) cr. 3.

This course presents techniques for the analysis and design of robotic systems. Topics include joints and manipulator's mechanisms; vectors and coordinate systems; forward and inverse position and velocity analysis of serial manipulators; trajectory planning for manipulators; dynamics equation of robotic manipulators; and PID position controllers of manipulators. The physical laboratories will provide experience with working with commercial robotic manipulators. PREREQ: ENGR 2506, 3547 and 4526. (lec 3, lab 2) cr 3.

This course covers the transmission and control of forces and movement by means of fluid. Relevant fluid mechanics principles are reviewed. Principles of operation and design of individual components are covered, including hydraulic pumps, valves, cylinders, motors, and related accessories such as filters and tanks. The design and function of hydraulic and pneumatic circuits are discussed including hydraulics for machine tools, press machines, and mining machinery. PREREQ: ENGR 3526 and ENGR 3547. (lec 3, lab 2) cr 3.

This course explores biomechanics, with a focus on the mechanical behaviour of biological tissues such as bone, cartilage, muscle, and tendon. The course examines experimental techniques for quantifying mechanical behaviour and the unique technical challenges associated with testing biological materials. Various constitutive modeling approaches for predicting tissue behaviour are also covered such as orthotropy, hyperelasticity, and viscoelasticity. PREREQ: ENGR 2076. (lec 3) cr 3.

This final year project integrates mechanical engineering courses from previous semesters in a design-related topic. lec 1, lab 3, cr 6. PREREQ: ENGR-0300EL, ENGR-1017EL, ENGR-2537EL, ENGR-3426EL, ENGR-3507EL, ENGR-3516EL, ENGR-3517EL, ENGR-3526EL, ENGR-3536EL, ENGR-3546EL, ENGR-3547EL, and ENGR-3556EL.

This course is an introduction to mechanical vibration and dynamic systems. Topics include: free vibration of a system, harmonic motion, damping, stiffness, system modeling and vibration measurements. Students will also become familiar with the response of various vibration systems subject to a range of inputs, the design implications of vibration, design of vibration suppression and vibration based machine condition monitoring. PREREQ: ENGR 3546 (lec 3, lab 2) cr 3.

The legal and ethical aspects of professional engineering are examined, and the interdependence of technology and society is analyzed. Techniques for effective technical communication, engineering law and professional practice are reviewed. Treatment of legal and ethical aspects of professional engineering practice, the nature of technological changes and its consequences, the engineer's role in the control of technology, and professional and ethical issues in sustainability are supplemented by guest speakers and case studies. PREREQ: 60 university credits. (Cst/Lec 3) cr 3.

Health and Safety Training course with four modules is for engineering student's competencies in health and safety. It provides a basis for advancing Health and Safety knowledge and skills for students and for defining minimum industry knowledge requirements in Health and Safety. It will help future engineers better understand their legal, moral, ethical and societal responsibilities and properly prepare them for the workplace. Contents covered in this module IV course include process safety management; electrical, radiation, and robotics safeties; risk and crisis communications; managing change; health and wellness; and managing excellence in health and safety. PREREQ: ENGR 0300 EL and a minimum of 60 university credits. (Lec) cr 0.