COURSE CATALOG BS Mechanical Engineering Program Overview The objectives of the mechanical engineering major are to prepare graduates to: • practice mechanical engineering in support of the design of engineered systems through the application of the fundamental knowledge, skills, and tools of mechanical engineering. • enhance their skills through formal education and training, independent inquiry, and professional development. • work independently as well as collaboratively with others, while demonstrating the professional and ethical responsibilities of the engineering profession. • successfully pursue graduate degrees at the master's and/or doctoral levels, should they choose. Mechanical engineering is perhaps the most comprehensive of the engineering disciplines. The mechanical engineer’s interests encompass the design of automotive and aerospace systems, bioengineering devices, and energy-related technologies. The spectrum of professional activity for the mechanical engineering graduate runs from research through design and development to manufacturing and sales. Because of their comprehensive training and education, mechanical engineers often are called upon to assume management positions. The mechanical engineering department offers professional courses in the areas of bioengineering, energy systems, applied mechanics, manufacturing, materials science, systems analysis, computeraided graphics and design, robotics, and automotive and aerospace engineering. The department’s laboratories are equipped to provide extensive experimentation in these areas. Laboratory facilities include a well-instrumented wind tunnel, a particle imaging velocimetry laser system for flow visualization, advanced heat transfer systems, robotics, a proton exchange membrane fuel cell, engine dynamometers, fluid flow loops, refrigeration systems, tensile testers, compression testers, torsion testers, hardness testers, X-ray diffractometer, atomic force microscope, dynamic system simulators, a spectrum analyzer, and a well-equipped machine shop. 1 Curriculum Mechanical Engineering, BS degree, typical course sequence Course Sem. Cr. Hrs. First Year LAS Foundation 2: First Year Writing 3 LAS Perspective 7A: Project-based Calculus I, II 8 LAS Perspective 1, 2, 3 9 MECE-102 Engineering Mechanics Lab 3 MECE-104 Engineering Design Tools 3 LAS Foundation 1: First Year Seminar† 3 Statics 3 LAS Perspective 4 3 MATH-219 Multivariable Calculus 3 MECE-205 Dynamics 3 MECE-110 Thermodynamics I 3 MECE-210 Fluid Mechanics I 3 LAS Immersion 1 3 MATH-231 Differential Equations 3 MECE-203, 204 Strength of Materials I and Lab 4 MECE-305, 306 Materials Science with Applications and Lab 4 Immersion 1 3 MECE-499 Cooperative Education (fall or spring) Co-op MECE-xxx Contemporary Issues in Mechanical Engineering (WI) 3 MATH-181, 182 MECE-103 Second Year Third Year 2 MATH-326 Boundary Value Problems 3 EEEE-281 Circuits I 3 MECE-317 Numerical Methods 3 MECE-211 Engineering Measurements Lab 2 Immersion 2 3 Cooperative Education (summer) Co-op MECE-499 Cooperative Education (fall or spring) Co-op MATH-241 Linear Algebra 3 MECE-320 System Dynamics 3 MECE-310 Heat Transfer I 3 MECE-301 Engineering Applications Lab 2 MECE-3xx ME Extended Core Elective 3 Physical Science Elective II 3 Cooperative Education (summer) Co-op Multidisciplinary Senior Design I, II 6 ME Applied Elective 3 Applied Statistics 3 LAS Immersion 3 3 Free Electives 6 ME Electives 6 University Physics II 4 MECE-499 Fourth Year MECE-499 Fifth Year MECE-497, 498 STAT-205 PHYS-212 129 Total Semester Credit Hours 3 Please see New General Education Curriculum–Liberal Arts and Sciences (LAS) for more information † The First Year Seminar requirement is replaced by an LAS Elective for the 2013-14 academic year. Cooperative education Students are required to complete twelve months of cooperative education, one of which must have an international component. Many students study abroad to solidify their understanding of a foreign language and gain experience living in another culture. They follow their study abroad experience with a co-op in a multinational corporation in the United States, or in an international company overseas, to acquire comprehensive experience. 4 COURSE DESCRIPTION FIRST YEAR MATH-181, 182 - LAS Perspective 7A: Project-based Calculus I, II MATH-181 Project-based Calculus I This is the first in a two-course sequence intended for students majoring in mathematics, science or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers two- dimensional analytic geometry, functions, limits, continuity, the derivative, rule of differentiation, applications of the derivative, Riemann sums, definite integrals, and indefinite integrals. (In order to be successful in this course, students earn an A in MATH-111 Precalculus, or a score of at least 75% on the RIT Mathematics Placement Exam) Class 4, Workshop 2, Credit 4. MATH-182 Project-based Calculus II This is the second in a two-course sequence intended for students majoring in mathematics, science or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers techniques of integration including integration by parts, partial fractions, improper integrals, applications of integration, representing functions by infinite series, convergence and divergence of series, parametric curves and polar coordinates. (C or better in MATH-181 Project-based Calculus I) Class 4, Workshop 2, Credit 4. MECE-102 - Engineering Mechanics Lab This course examines classical Newtonian mechanics from a calculus-based fundamental perspective with close coupling to integrated laboratory experiences. Topics include kinematics; Newton’s laws of motion; work, energy, and power; systems of particles and linear momentum; circular motion and rotation; and oscillations and gravitation within the context of mechanical engineering, using mechanical engineering conventions and nomenclature . Each topic is reviewed in lecture, and then thoroughly studied in multiple accompanying laboratory sessions. Students conduct experiments using modern data acquisition technology; and analyze, interpret, and present the results using modern computer software. (Corequisite MATH-181) Class 1, Lab 1, Studio 1, Credit 3. MECE-104 - Engineering Design Tools This course is an introduction to graphical communication as a tool in documenting the results of an engineering design. Emphasis is placed on the use of computer-aided drafting and 3-D solid modeling systems to prepare working drawings packages of basic components and assemblies. Students combine the practice of sketching along with computer-based solid modeling to produce a parametric design. At the conclusion of the course, students will be able to prepare working drawings, with appropriate views, dimensions, title blocks, and bill of materials. This course will also introduce students to the skills they will need to address open-ended engineering design problems which require the fabrication of a prototype from engineering drawings. Students will learn about problem definition, concept development, feasibility assessment, man- aging design parameter tradeoffs using engineering analysis, developing a preliminary design drawing package and constructing a working prototype. Class 2, Lab 2, Studio 2, Credit 4 5 MECE-103 - Statics This basic course treats the equilibrium of particles and rigid bodies under the action of forces. It integrates the mathematical subjects of calculus, vector algebra and simultaneous algebraic equations with the physical concepts of equilibrium in two and three dimensions. Topics include concepts of force and moment, trusses, frames, machines, friction, centroids and moments of inertia. (MECE-102; corequisite: MATH-182) Class 3, Credit 3 SECOND YEAR MATH-219 - Multivariable Calculus This course is principally a study of the calculus of functions of two or more variables, but also includes vector-valued functions and their derivatives. The course covers limits, partial derivatives, multiple integrals, and includes applications in physics. Credit cannot be granted for both this course and MATH221. (C or better in MATH-182 Project-based Calculus II or MATH-173 Calculus C or equivalent) Class 3, Credit 3. MECE-205 - Dynamics A basic course in the kinematics and kinetics of particles and rigid bodies. Newton’s Laws and the theorems of work-energy and impulse momentum are applied to a variety of particle problems. Systems of particles are employed to transition to the analysis of rigid body problems. Absolute and relative motion are used to investigate the kinematics and kinetics of systems of rigid bodies. Newton’s Laws and the theorems of work-energy and impulse-momentum are also applied to a variety of rigid body problems. (MECE-103) Class 3, Credit 3. MECE-110 - Thermodynamics I A basic course introducing the classical theory of thermodynamics. Applications of the first law of thermodynamics are used to introduce the student to thermodynamic processes for closed and open systems. The Clausius and Kelvin-Planck statements of the second law are then correlated with the concept of entropy and enthalpy to investigate both real and reversible processes and the thermodynamic properties of pure substances. (MECE-102; co- requisite: MATH-182) Class 3, Credit 3. MECE-210 - Fluid Mechanics I Includes the physical characteristics of a fluid: density, stress, pressure, viscosity, temperature, vapor pressure, compressibility. Descriptions of flows: Lagrangian and Eulerian; stream-lines, path-lines, streak-lines. Classification of flows. fluid statics: hydrostatic pressure at a point, pressure field in a static fluid, manometry, forces on submerged surfaces, buoyancy, standard and adiabatic atmospheres . Flow fields and fundamental laws; systems and control volumes, Reynolds Transport theorem, integral control volume analysis of basic equations for stationary and moving control volumes. Inviscid Bernoulli and the 6 Engineering Bernoulli equation, some applications. Incompressible flow in pipes; laminar and turbulent flows, separation phenomenon, dimensional analysis. (MECE-110) Class 3, Credit 3. MATH-231 - Differential Equations This course is an introduction to the study of ordinary differential equations and their applications. Topics include solutions to first order equations and linear second order equations, methods of undetermined coefficients, variation of parameters, linear independence and the Wronskian, vibrating systems, Laplace transforms, and an introduction to systems of equations. (MATH-173 Calculus C or MATH-182 Projectbased Calculus II) Class 3, Credit 3. MECE-203, 204 - Strength of Materials I and Lab MECE-203 Strength of Materials I A basic course in the fundamental principles of the mechanics of deformable media, including stress, strain, deflections and the relationships among them. The basic loadings of tension, compression, shear, torsion and bending are also included. (MECE-103) Class 3, Credit 3. MECE-204 Strength of Materials I Laboratory A required laboratory course taken in support of MECE-203. Students are introduced to reduction and analysis of data, basic experimental techniques, and effective report writing. (Corequisite: MECE-203) Lab 1, Credit 1. MECE-305, 306 - Materials Science with Applications and Lab MECE-305 Materials Science with Applications This course provides the student with an overview of structure, properties, and processing of metals, polymers, and ceramics. Materials selection is also discussed. There is a particular emphasis on steels, but significant attention is given to non-ferrous metals, ceramics, and polymers. This course does not include a laboratory component. (MECE-104) Class 3, Credit 3. MECE-306 Materials Science with Applications Laboratory A required laboratory course taken in support of MECE-305. (Corequisite: MECE-305) Lab 2, Credit 1. THIRD YEAR MECE-499 - Cooperative Education (fall or spring) One semester of full-time, paid employment in the mechanical engineering field. (MECE-110, MECE203, EGEN-099). 7 MATH-326 - Boundary Value Problems This course provides an introduction to boundary value problems. Topics include Fourier series, separation of variables, Laplace’s equation, the heat equation, and the wave equation in Cartesian and polar coordinate systems. (MATH-219 Multivariable Calculus or MATH-221 Multivariable and Vector Calculus, and MATH-231 Differential Equations) Class 3, Credit 3. EEEE-281 - Circuits I Covers basics of DC circuit analysis starting with the definition of voltage, current, resistance, power and energy. Linearity and superposition, together with Kirchhoff’s laws, are applied to analysis of circuits having series, parallel and other combinations of circuit elements. Thevenin, Norton and maximum power transfer theorems are proved and applied. Circuits with ideal op-amps are introduced. Inductance and capacitance are introduced and the transient response of RL, RC and RLC circuits to step inputs is established. Practical aspects of the properties of passive devices and batteries are discussed, as are the characteristics of battery-powered circuitry. The laboratory component incorporates use of both computer and manually controlled instrumentation including power supplies, signal generators and oscilloscopes to reinforce concepts discussed in class as well as circuit design and simulation software. (MATH-182; corequisite PHYS-212) Class 3, Lab 3, Credit 3 MECE-317 - Numerical Methods This course entails the study of numerical methods as utilized to model and solve engineering problems on a computing device. Students learn to implement, analyze and interpret numerical solutions to a variety of mathematical problems commonly encountered in engineering applications. Topics include roots of algebraic and transcendental equations, linear systems, curve fitting, numerical differentiation and integration, and ordinary differential equations. Applications are taken from student’s background in engineering, science and mathematics courses. The MATLAB programming language is taught and utilized for computer implementation. (MATH-231, MECE-102) Class 3, Credit 3. MECE-211 - Engineering Measurements Lab A required laboratory course taken concurrently with MECE-210. Includes the physical characteristics of a fluid: density, stress, pressure, viscosity, temperature, vapor pressure, compressibility. Descriptions of flows: Lagrangian and Eulerian; stream-lines, path-lines, streak-lines. Classification of flows. fluid statics: hydrostatic pressure at a point, pressure field in a static fluid, manometry, forces on submerged surfaces, buoyancy, standard and adiabatic atmospheres . Flow fields and fundamental laws; systems and control volumes, Reynolds Transport theorem, integral control volume analysis of basic equations for stationary and moving control volumes. Inviscid Bernoulli and the Engineering Bernoulli equation, some applications. Incompressible flow in pipes; laminar and turbulent flows, separation phenomenon. Dimensional analysis. (Corequisite: MECE-210) Lab 2, Credit 2. MECE-499 - Cooperative Education (summer) One semester of full-time, paid employment in the mechanical engineering field. (MECE-110, MECE203, EGEN-099). 8 FOURTH YEAR MECE-499 - Cooperative Education (fall or spring) One semester of full-time, paid employment in the mechanical engineering field. (MECE-110, MECE203, EGEN-099). MATH-241 - Linear Algebra This course is an introduction to the basic concepts of linear algebra, with an emphasis on matrix manipulation. Topics include Gaussian elimination, matrix arithmetic, determinants, of a matrix, eigenvalues, and eigenvectors. Various applications are studied throughout the course. (MATH-219 Multivariable Calculus or MATH-221 Multivariable and Vector Calculus or MATH-190 Discrete Mathematics for Computing or MATH-200 Discrete Mathematics and Introduction to Proofs) Class 3, Credit 3. MECE-320 - System Dynamics This required course introduces the student to lumped parameter system modeling, analysis and design. The determination and solution of differential equations that model system behavior is a vital aspect of the course. System response phenomena are characterized in both time and frequency domains and evaluated based on performance criteria. Laboratory exercises enhance student proficiency with model simulation, basic instrumentation, data acquisition, data analysis, and model validation. (MATH-231, MECE-205, MECE- 317; corequisite: EEEE-281) Class 2, Lab 1, Credit 3. MECE-310 - Heat Transfer I A basic course in the fundamentals of heat transfer by conduction, convection and radiation, together with applications to typical engineering systems. Topics include one- and two-dimensional steady state and transient heat conduction, radiation exchange between black and gray surfaces, correlation equations for laminar/turbulent internal and external convection, and an introduction to heat exchangers analysis and design by LMTD and NTU methods. (MECE-210) Class 3, Credit 3. MECE-301 - Engineering Applications Lab This course builds on prior laboratory experiences, by providing students with the opportunity to work in teams to design and perform open-ended experiments. Students will complete two open-ended experiments involving theoretical and empirical analyses of Mechanical Engineering systems, one based on thermo-fluids sciences and one based on solid mechanics. (MECE- 102, MECE-104, MECE-204, MECE-211) Lab 2, Credit 2. MECE-499 - Cooperative Education (summer) One semester of full-time, paid employment in the mechanical engineering field. (MECE-110, MECE203, EGEN-099). 9 FIFTH YEAR MECE-497, 498 - Multidisciplinary Senior Design I, II MECE-497 Multidisciplinary Senior Design I The first of a two-course capstone design sequence. Students work in multidisciplinary design teams in an environment approximating an industrial setting. Emphasis is placed on teamwork and on developing good oral, written and interpersonal communication skills. In this course, student teams develop their proposed final design of a mechanical system after identifying possible alternative concepts. The final design must be supported by sound engineering analyses and by engineering drawings necessary to build a prototype. This course is intended to be taken as a capstone design experience near the conclusion of the student’s program of study. (MECE-301, MECE-499) Class 3, Credit 3. MECE-498 Multidisciplinary Senior Design II The second of the two-course capstone design sequence. The same student teams from Senior Design I return to build and test a working prototype of their previously developed final design. Continued emphasis is placed on teamwork and on developing good oral, written and interpersonal communication skills. (MECE-497) Class 3, Credit 3. STAT-205 - Applied Statistics This course covers basic statistical concepts and techniques including descriptive statistics, probability, inference, and quality control. The statistical pack- age Minitab will be used to reinforce these techniques. The focus of this course is on statistical applications and quality improvement in engineering. This course in intended for engineering programs and has a calculus prerequisite. Note: This course may not be taken for credit if credit is to be earned in STAT- 145 or STAT-155. (MATH-182 Project-based Calculus II or MATH-173 Calculus C, or permission of instructor) Class 3, Credit 3. PHYS-212 - University Physics II This course is a continuation of PHYS-211, University Physics I. Topics include electrostatics, Gauss’ law, electric field and potential, capacitance, resistance, DC circuits, magnetic field, Ampere’s law, inductance, and geometrical and physical optics. The course is taught in a lecture/workshop format that integrates the material traditionally found in separate lecture and laboratory courses. (PHYS- 211 or PHYS-211A or PHYS-206 and credit or co-registration in PHYS-207, or all of the following three courses: MECE-102, MECE-103, and MECE-205; MATH- 182 Project-based Calculus II or MATH-182A or MATH172; a grade of C or better is required in all prerequisites) Workshop 6, Credit 4. 10