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Undergraduate Course Descriptions

24-101 Fundamentals of Mechanical Engineering
Fall and Spring: 12 units

The purpose of this course is to introduce the student to the field of mechanical engineering through an exposition of its disciplines, including structural analysis, mechanism design, fluid flows, and thermal systems. By using principles and methods of analysis developed in lectures, students will complete two major projects. These projects will begin with conceptualizationh, proceed with the analysis of candidate designs, and culminate in the construction and testing of a prototype. The creative process will be encouraged throughout. the course is intended primarily for CIT freshmen. 3 hrs. lec., 2 hrs. rec./lab. Co-requisites: 21-115, 21-116 (or 21-120), 33-106.

24-201 Engineering Graphics
Fall and Spring: 9 units

Introduction to the use and preparation of manually and computer generated engineering drawings, including the following topics: basic drawing techniques; dimensioning of orthographic drawings; auxiliary and oblique views; sectional drawings; working drawings; blueprint reading; freehand sketching; production standards, methods, and symbols; simplified drawing techniques; intersection and development; basic applied descriptive geometry. 3 hrs. rec., 3 hrs. lab

24-221 - Thermodynamics I
Fall: 10 units

Temperature and thermometry; equations of state for fluids and solids; work, heat, and the first law; internal energy, enthalpy, and specific heats; energy equations for flow; change of phase; the second law, reversibility, absolute temperature, and entropy; combined first and second laws; availability; power and refrigeration cycles. Applications to a wide range of processes and devices. 3 hrs. rec. Prerequisites: 21-122 or 21-123, 24-101, 33-106

24-231 - Fluid Mechanics
Spring: 10 units

Hydrostatics. Control volume concepts of mass, momentum, and energy conservation. Euler's and Bernoulli's equations. Viscous flow equations. Head loss in ducts and piping systems. Dimensional analysis and similitude as an engineering tool. Measurement techniques. 3 hrs. lec., 1 hr rec./lab. Prerequisites: 21-122 or 21-123, 33-106

24-261 - Statics of Deformable Solids
Fall: 10 units

This course is the first in a two-semester sequence on the solid mechanics of engineering structures and machines. The course begins with a review of the statics of rigid bodies which includes the identification of statically indeterminate problems. Two- and three-dimensional statics problems are treated. Thereafter the course studies stresses and deflections in deformable components. In turn, the topics covered are: simple tension, compression, and shear; thin-walled pressure vessels; torsion; and bending of beams. For each topic, statically indeterminate problems are analyzed and elementary considerations of strength are introduced. 3 hrs. lec., 1 hr. rec/lab. Prerequisites: 21-123 or 21-122, 33-106

24-262 - Stress Analysis
Spring: 12 units

This course is the second in a two-semester sequence on the solid mechanics of engineering structures and machines. The basic topics of uniaxial tension/compression, torsion, and flexural deformation from 24-21 are reviewed. Combined loadings and stresses are then treated, which lead to a consideration of failure criteria. Two-dimensional elasticity and the finite element methods are introduced, and both static and cyclic failure criteria are applied to results from numerical analysis. 3 hrs. lec., 1 hr. rec/lab, Prerequisites:  24-261, 33-106

24-302 - Mechanical Engineering Seminar
Fall and Spring: 2 unit
s

The purpose of this course is to help students develop good presentation skills and to provide a forum for presentations and discussions of professional ethics.  Students will make at least two presentations, one of which is related to professional ethics.  Student grades will be based on their presentation skills and their participation in class discussions. 1 hr. rec.

24-311 - Numerical Methods
Fall: 12 units

Use of numerical methods for solving engineering problems with the aid of a digital computer.  Problems will be drawn from all fields of interest to mechanical engineers. 3 hrs. rec. 3 hours lab. Prerequisites: 21-260

24-321 - Thermal Fluids Experimentation and Design
Spring: 12 units

This is a capstone course for the thermal-fluids core-course sequence. This course is comprised of two elements: experimentation and design. The experimental experience covers techniques of measurement, uncertainty analysis, and realization of systems, which demonstrate fundamental principles in thermodynamics, fluid mechanics, and heat transfer. The practice of designing a thermal system is also integrated into this course.
4 hrs. lec./lab
Pre-requisites:
24-221 (Thermodynamics I), 24-231 (Fluid Mechanics), 24-322 (Heat Transfer)

24-322 - Heat Transfer
Fall: 10 units

Introduction to basic concepts of engineering heat transfer. Steady and transient heat conduction in solids, including the effect of heat generation. Finned surfaces. Correlation formulas for forced and free convection, condensation, and boiling. Design and analysis of heat exchangers. Radiation heat transfer. Problems in combined convection and radiation. Measurement techniques. 3 hrs. lec., 1 hr. rec. Prerequisites: 21-260, 24-221, 24-231.

24-324 Energy and Thermal Systems Analysis
Intermittent: 9 units

Performance studies of various thermal processes and devices with emphasis on energy utilization. The concepts of gas mixtures, chemical potential, and exergy (availability) analysis will be introduced and applied. Examples will be drawn from co-generation and nuclear power plants, jet propulsion, internal combustion engines, desalination, and fuel cells. 3 hrs. lec.
Prerequisites: 24-221, 24-231

24-331 - Viscous Flow
Intermittent: 10 units

The concept of fluid shear and viscosity and viscous flow in tubes and channels. Hydrodynamic lubrication of bearings. The concept of turbulence and turbulent flow in tubes and channels. The boundary layer concept and applications to momentum transfer (drag), energy transfer (heat convection), and mass transfer (evaporation, etc.). 3 hrs. rec., 1 hr. lab. Prerequisites: 21-259, 21-260, 24-221, 24-231.

24-332 - Potential Flow and Aerodynamics
Fall: 9 units

Development of the fundamental equations of incompressible frictionless flow. Concepts of circulation, vorticity, irrotationality, stream function, and velocity potential. Two-dimensional low speed airfoil theory; lift and moment calculations for the infinite span wing; empirical airfoil data for real airfoils; thin airfoil theory. Three-dimensional effects; flow distribution; Prandtl's wing theory; induced drag; the elliptic lift distribution; the general lift distribution. 3 hrs. rec. Prerequisites: 21-259, 21-260, 24-231.

24-333 - Gas Dynamics
Intermittent: 9 units

Development of the foundations of frictionless compressible flow. Internal flow with friction and heat transfer. Acoustics and wave motion. Oblique shocks and expansion waves. Two-dimensional subsonic and supersonic flow including hodograph transformations, linearized theory of thin airfoils, and the method of characteristics. Introduction to transonic and hypersonic flow and reentry problems. 3 hrs. rec. Prerequisites: 21-259, 21-260, 24-221, 24-231.

24-341 - Manufacturing Sciences
Spring: 9 units

This course has two broad concerns; an introductory review of manufacturing systems organization and a review of common manufacturing processes from the point of view of design for manufacturability. The features of mass and batch production are quantitatively considered. The basic principles of group technology and production planning are outlined. The use of computers in manufacturing is described, together with a review of the current capabilities of industrial robots. Students will be involved in weekly seminars which will describe the basic features of common manufacturing processes, including metal machining, metal forming, polymer processing, casting techniques, joining techniques, ceramic processing, and powder processing. Case studies from industry and films may be used. 3 hrs. rec. Prerequisites: 24-262 or by permission of the instructor.

24-351 - Dynamics
Fall: 10 units

This first course on the modeling and analysis of dynamic systems concentrates on the motion of particles, systems of particles, and rigid bodies under the action of forces and moments. Topics include the kinematics of motion in rectangular, polar, and intrinsic coordinates; relative motion analysis with multiple reference frames; and planar kinetics through the second law, work-energy method, and impulse-momentum method. Time and frequency domain solutions to first and second order equations of motion are discussed. 3 hrs. lec., 1 hr. rec. Prerequisites:  24-261, 33-106.

24-352 Dynamic Systems and Controls
Spring: 12 units

This second course on the modeling and analysis of dynamics systems emphasizes the common features which are exhibited by physical systems that include mechanical, hydraulic, pneumatic, thermal, electrical, and electromechanical elements. State equations and the concepts of equilibrium, linearization, and stability are discussed. Time and frequency domain solutions are developed. 4 hr. lec.
Prerequisites: 21-260, 24-261, 33-107.

24-353 Intermediate Dynamics
Intermittent: 9 units

This course presents classical (i.e., nonrelativistic) dynamics via the vector formulation of Newtonian mechanics and the analytical dynamics of Lagrange's equations. Classical dynamics is used for the purpose of obtaining mathematical models of dynamic systems which are then employed in the analysis of dynamic behavior and in design synthesis. Course contents include a review of particle kinematics and Newton's laws, kinematics of rigid bodies in general motion, Newtonian kinetics of rigid bodies including the Newton-Euler equations of motion, impulse-momentum and work-energy methods, fundamentals of analytical mechanics including the principle of virtual work and Hamilton's principle leading to Lagrange's equations of motion, and advanced issues of analytical mechanics. 3 hrs. lec. Prerequisite: 24-311. Corequisite: 24-352.

24-355 - Kinematics and Dynamics of Mechanisms
Intermittent: 9 units

This design-oriented course addresses the kinematics and dynamics of mechanisms with applications to linkage systems, reciprocating engines, and industrial machinery. Conventional as well as innovative rigid-body dynamic systems are studied. Problems of kinematics and dynamics are framed in a form suited for computer analysis. The course bridges analysis and design by emphasizing the synthesis of mechanisms. To stimulate a creative approach, homework and project work draw upon actual engineering design problems. 3 hrs. rec. Corequisite: 24-352.

24-356 - Engineering Vibrations
Spring: 11 units

Frequency response of linear mechanical systems, with and without damping. Use of computational methods for simulation system response and the use of modal analysis for understanding the vibratory response of complex systems. Lumped and distributed mass systems. Applications include isolation, stability, and balancing. 3 hrs. lec., 1 hr. rec. 

24-361 - Intermediate Stress Analysis
Intermittent: 10 units

This course first reviews important solutions from strength of materials, Mohr's circle, and multiaxial failure theories. Students are then introduced to the theory of elasticity with an emphasis on understanding the field equations and boundary conditions. A short introduction to the theory of finite element methods is given. Additional topics covered include buckling, stress concentrations, plasticity, and fracture mechanics. An important aspect of the course is teaching students how topics covered in class can be applied to predict or understand failures in engineering applications. Another important skill that is emphasized is the application of fundamentals from the lectures and physical intuition to interpret results generated by finite element models. 3 hrs. lec., 1 hr. lab. Prerequisites: 21-259, 24-262.

24-370 - Engineering Design I: Methods and Skills
Spring: 12 units

In this course, students will learn methods and skills for the engineering design process, consisting of four stages: concept design, detail design, analysis, and manufacturing.  The course covers the engineering design process in a holistic fashion by discussing theories and practices of the four stages and inter-relating them. Some hands-on assignments, including computational assignments, are given to enhance the learning outcome.  After taking this course, students will be able to: express ideas in sketches; interpret and create engineering drawings; select and apply machine elements; model detailed shapes with CAD tools; analyze product performance with CAE tools; and choose materials and manufacturing schemes.
Co-requisites: 24-262 (stress analysis) and junior status

24-380 up to 24-386 - Special Topics in Mechanical Engineering
Fall or Spring: 9-12 units

The Special Topics in Mechanical Engineering courses provide students with exposure to a variety of advance concepts related to Mechanical Engineering and are offered on an "as available" basis. The final digit reflects the primary application area of the material, where 0 is professional; 1 is mathematics; 2 is thermal engineering; 3 is fluid mechanics; 4 is design and manufacturing; 5 is dynamics and controls; and 6 is solid mechanics. Prerequisites: Set by instructor.

24-391/392 - Mechanical Engineering Project
Fall and Spring: variable units

Practice in the organization, planning, and execution of appropriate engineering projects. These investigations may be assigned on an individual or a team basis and in most cases will involve experimental work. 9 hrs. lab.

24-415 - Microfluidics
Odd year Spring: 9 units

This course offers an introduction to the emerging field of microfluidics with an emphasis on chemical and life sciences applications.  During this course students will examine the fluid dynamical phenomena underlying key components of "lab on a chip" devices.  Students will have the opportunity to learn practical aspects of microfluidic device operation through hands-on laboratory experience, computer simulations of microscale flows, and reviews of recent literature in the field.  Throughout the course, students will consider ways of optimizing device performance based on knowledge of the fundamental fluid mechanics.  Students will explore selected topics in more detail through a semester project.  Major course topics include pressure-driven and electrokinetically-driven flows in microchannels, surface effects, micro-fabrication methods, micro/nanoparticles for biotechnology, biochemical reactions and assays, mixing and separation, two-phase flows, and integration and design of microfluidic chips.  3 hrs. lecture
Prerequisites: 24-231 (Cross listed with 24-715)

24-421 - Internal Combustion Engines
Fall: 10 units

Basic principles and fundamentals of internal combustion engines; gas turbine, spark ignition and diesel compression ignition engines. Combustion chamber design. Monitoring and control of fuel efficiency and emission of pollutants in exhaust gases. Developments in direct injection, rotary, prechamber and stratified charge engines. Ignition, fuel injection, mixing and combustion processes, heat release, and energy balances. Engine laboratory projects include: air and fuel controls, measurement of particulate and species concentrations in exhaust gases. 3 hrs. rec., 1 hr. lab. Prerequisites: 24-221, 24-231, Co-requisite- 24-322.

24-423 Direct Energy Conversion
Intermittent: 9 units

Principles of energy conversion between various forms of energy including heat, electricity, and light. Applications. Theory of thermoelectric, thermionic, magnetohydrodynamic, and photovoltaic direct conversion devices. Principles of chemical and mechanical energy storage. 3 hrs. rec. Prerequisites: 24-221, 24-231, 33-107.

24-424 Energy and the Environment
Fall: 9 units

Fuel cycles for conventional and non-conventional energy resources; relationships between environmental impacts and the conversion or utilization of energy; measure of system and process efficiency; detailed study and analysis of coal-based energy systems including conventional and advanced power generation, synthetic fuels production, and industrial processes; technological options for multimedia (air, water, land) pollution control; mathematical modeling of energy-environmental interactions and tradeoffs and their dependency on technical and policy parameters; methodologies for energy and environmental forecasting; applications to issues of current interest. 3 hrs. rec. Prerequisite: 24-221 or equivalent, junior or senior standing.

24-425 -Combustion and Air Pollution Control
Fall or Spring: Intermittent 9 units

Formation and control of gaseous and particulate air pollutants in combustion systems.  Basic principles of combustion, including thermochemical equilibrium, flame temperature, chemical kinetics, hydrocarbon chemistry, and flame structure.  Formation of gaseous and particulate pollutants in combustion systems.  Combustion modifications and postcombustion technologies for pollutant control.   Relationship between technology and regional, national, and global air pollution control strategies. The internal combustion engine and coal-fired utility boiler are used as examples.  Prerequisites: senior standing, or consent of instructor.

24-441 - Engineering Design II: Conceptualization and Realization
Fall and Spring: 12 units

This course guides students through the design process in the applied design of a practical mechanical system.  Lectures describe the typical design process and its associated activities, emphasizing methods for innovation and tools for design analysis.  Professional and ethical responsibilities of designers, interactions with clients and other professionals, regulatory aspects, and public responsibility are discussed.  The design project is typically completed in teams and is based on a level of engineering knowledge expected of seniors.  Proof of practicality is required in the form of descriptive documentation.  Frequently, a working model will also be required.  Oral progress reports and a final written and oral report are required. 3 hrs. rec., 3 hrs lab
Prerequisite:  24-262 (Stress Analysis)- Co-requisite- Design I  24-370- plus senior standing

24-443 - Design for Manufacture (renumbered 24-683 Spring 2010)
Fall: 9 units

24-451 - Feedback Control Systems
Fall: 12 units

Fundamentals of feedback control with emphasis on classical techniques and on introduction to state space methods. Topics include the following: frequency domain modeling and state space modeling of dynamic systems; feedback control system concepts and components; control system performance specifications such as stability, transient response, and steady state error; analytical and graphical methods for analysis and design - root locus, Bode plot, Nyquist criterion; design and implementation of proportional, proportional-derivative, proportional-integral-derivative, lead, lag, and lead-lag controllers. Laboratory work will include implementation and evaluation of various controllers on real systems for comparison with analytical models. Extensive use of computer aided analysis and design software. 3 hrs. lec., 3 hrs. lab. Prerequisites: 15-100, 24-352.

24-452 - Mechanical Systems Laboratory
Fall only   9 units

Experimentation in dynamic systems and controls.  The course will cover translational and rotational systems.  Topics will include mechanical elements, natural frequencies, mode shapes, free and forced response, frequency response and Bode plots, time constants, transient response specifications, feedback controls such as PID control, and stability for single-degree-of-freedom and multi-degree-freedom systems.  The course will introduce and use state-of-the-art experimentation hardware and software. 1 hr. lecture, 3 hrs. lab. Co-requisite: 24-352 (Dynamic Systems and Control) and senior status.

24-484 - Decision Tools for Engineering Design and Entrepreneurship
Intermittent: 12 units

This course provides engineers with a multidisciplinary mathematical foundation for integrated modeling of engineering design and enterprise planning decisions in an uncertain, competitive market. Topics include economics in product design, manufacturing and operations modeling and accounting, consumer choice modeling, survey design, conjoint analysis, decision-tree analysis, optimization, game theory, model integration, and professional communication skills. Students will apply theory and methods to a team project for a new product or emerging technology of their choice, developing a business plan to defend technical and economic competitiveness. Students may choose to select emerging technologies from research at Carnegie Mellon for study in the course, and in some years venture capitalists and other industry leaders will take part in critiquing student projects. This course assumes fluency with calculus and some prior programming experience.
Prerequisites: Senior standing and 21-259 or instructor approval
(Cross listed with 24-784, 19-484 and 19-784)

24-491/492 - Departmental Research Honors
Fall, Spring, and Summer: 9 units

This course is designed to give students increased exposure to "open-ended" problems and research type projects. It involves doing a project on a research or design topic and writing a thesis describing that project. The project would be conducted under the supervision of a mechanical engineering faculty member (the advisor), and must be approved by the advisor before inception. This course can be taken at any time after the Junior year and before graduation which includes the summer after the Junior year. Completion of 18 units of this course with a grade of B or better is a partial fulfillment of the requirements for Departmental Research Honors.

24-614- Microelectromechanical Systems
Fall: 12 units

This course introduces fabrication and design fundamentals for Microelectromechanical Systems (MEMS): on-chip sensor and actuator systems having micron-scale dimensions.  Basic principles covered include microstructure fabrication, mechanics of silicon and thin-film materials, electrostatic force, capacitive motion detection, fluidic damping, piezoelectricity, piezoresistivity, and thermal micromechanics.  Applications covered include pressure sensors, micromirror displays, accelerometers, and gas microsensors.  Grades are based on exams and homework assignments.
4 hrs. lecture
Prerequisite for undergraduates: 18-321 or 24-351
Prerequisite course for: 18-724/24-724.
Cross-listed 18-614.

24-616 - Tribology – Friction, Lubrication and Wear
Intermittent: 12 units

Covers the science of surfaces interacting via dry, lubricated, and mixed (i.e., dry + lubricated) contact. Fundamental aspects include the Reynolds Equation, thermal-tribology, friction, and wear. Applied topics include bearings, surface analysis, nanomanufacturing, and biotribology. The course will conclude with a team project which will require computer programming. 4 hrs lec.
Prerequisite: None

24-623: Molecular Simulation of Materials
Intermittent: 12 units

The purpose of this course is to expose engineering students to the theory and implementation of numerical techniques for modeling atomic-level behavior. The main focus is on molecular dynamics and Monte Carlo simulations. Students will write their own simulation computer codes, and learn how to perform calculations in different thermodynamic ensembles. Consideration will be given to heat transfer, mass transfer, fluid mechanics, mechanics, and materials science applications.  The course assumes some knowledge of thermodynamics and computer programming. 4 hrs lec.
Prerequisite: None

24-655 - Cellular Biomechanics
Intermittent Spring: 9 units

This course discusses how mechanical quantities and processes such as force, motion, and deformation influence cell behavior and function, with a focus on the connection between mechanics and biochemistry. Specific topics include: (1) the role of stresses in the cytoskeleton dynamics as related to cell growth, spreading, motility, and adhesion; (2) the generation of force and motion by moot molecules; (3) stretch-activated ion channels; (4) protein and DNA deformation; (5) mechanochemical coupling in signal transduction. If time permits, we will also cover protein trafficking and secretion and the effects of mechanical forces on gene expression. Emphasis is placed on the biomechanics issues at the cellular and molecular levels; their clinical and engineering implications are elucidated. 3 hrs. lec.  Cross-listed 42-645.
Prerequisite:  Instructor permission.

24-656 Advanced Manufacturing
Intermittent: 12 units

This course focuses on modeling of material removal processes, including the turning, milling, boring, and drilling processes. The course also includes introduction on economics of material removal, non-traditional material removal processes, stability of machining processes, tool wear and tool life, dimensional and surface metrology, and experimental methods in manufacturing. A term project that may involve experimentations is an integral part of the course. 4 hrs lec.
Prerequisite:  Senior or Graduate Standing

24-657 Molecular Biomechanics
Intermittent: 9 units

This class is designed to present concepts of molecular biology, cellular biology and biophysics at the molecular level together with applications. Emphasis will be placed both on the biology of the system and on the fundamental physics, chemistry and mechanics which describe the molecular level phenomena within context. In addition to studying the structure, mechanics and energetics of biological systems at the nano-scale, we will also study and conceptually design biomimetic molecules and structures. Fundamentals of DNA, globular and structured proteins, lips and assemblies thereof will be covered.  Prerequisites Thermodynamics (06-221 or 24-221) or permission from the instructor.

24-658 Computational Bio-modeling and Visualization
Spring: 12 units

Biomedical modeling and visualization play an important role in mathematical modeling and computer simulation of real/artificial life for improved medical diagnosis and treatment. This course integrates mechanical engineering, biomedical engineering, computer science, and mathematics together.  Topics to be studied include medical imaging, image processing, geometric modeling, visualization,computational mechanics, and biomedical applications. The techniques introduced are applied to examples of multi-scale biomodeling and simulations at the molecular, cellular, tissue, and organ level scales.
4 hrs. lec./lab

24-661  Vibration of Linear and Dynamic Systems
Intermittent   12 units

The subject area for this course is mechanical vibration, at a level appropriate for first-year graduate students. Classical techniques in mechanical vibration are developed for the modeling and analysis of discrete and continuous linear systems. Continuous systems are described within the broader context of operator theory to emphasize the physical and mathematical analogies with discrete systems. Specific topics include: Discrete systems. Equations of motion for multiple degree of freedom systems through Lagrange's method; linearization about equilibrium; symmetry and definiteness properties; free vibration; matrix eigenvalue problems; orthogonality; Rayleigh quotient; generalized coordinates; transient and forced response through modal analysis. Continuous systems. Classical rod, shaft, string, beam, membrane and plate models; Hamilton's principle; equations of motion and boundary conditions through variational methods; essentials of functional analysis; exact solution of eigenvalue problems; response through modal analysis and Green's function methods; global discretization; Galerkin's method; essential and suppressible boundary conditions; Kamke quotient; introduction to elastic wave propagation.
Lecture 4.0 hours

24-675- Micro/Nano Robotics
Intermittent Spring: 12 units

This course focuses on the design, modeling, fabrication, and control of miniature mobile robot and micro/nano-manipulation systems for graduate and upper level undergraduate students.  It provides an overview of the state-of-the-art micro- and nanoscale sensors, actuators, manipulators, energy sources, robot design, and control methods.  It requires active student participation, interaction, and in-class discussions.  In addition to the basic background, it includes many case studies of current miniature robots and micro/nano-systems, challenges and future trends, and potential applications.  The course requires a final project involving novel theoretical and/or experimental ideas for micro/nano-robotic systems with a team of students.  Depending on the equipment availability, these projects can also involve hands-on experience and experimental demonstrations.  4 hrs. lec.
Prerequisites: Instructor permission


24-683  Design for Manufacture
Fall   12 units

Design for Manufacture looks at influences of manufacturing and other traditionally downstream issues on the overall design process.  Topics that will be studied include:  manufacturing processes, material choices, assembly, robustness and quality, platform design, maintenance and safety, environment-based desigin, economics and costing, lean manufacturing and globalization.  The class will study basic fundamentlals in each of these areas and how they affect design decisions, and in each case manufacturing implications of those design decisions.  The course combines lectures, laboratories, applied homework, and research projects.