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2011-2012 Bulletin – PDF - SEAS Bulletin - Columbia University

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184<br />

whose task is to help choose a<br />

program of courses, provide general<br />

advice on academic matters, and<br />

monitor academic performance.<br />

The doctoral candidate is expected<br />

to attain a level of mastery in some<br />

area of mechanical engineering, and<br />

must therefore choose a field and<br />

concentrate in it by taking the most<br />

advanced courses offered. This choice<br />

of specialty is normally made by the time<br />

the student has completed 30 points of<br />

credit beyond the bachelor’s degree, at<br />

which time a complete course program<br />

is prepared and submitted to the<br />

departmental doctoral committee for<br />

approval. The student must maintain a<br />

grade point average of 3.2 or better in<br />

graduate courses.<br />

The department requires the<br />

prospective candidate to pass a<br />

qualifying examination. Given once a<br />

year, in January, it is usually taken after<br />

the student has completed 30 points<br />

beyond the bachelor’s degree. However,<br />

it may not be delayed past the next<br />

examination given after completion of<br />

45 points. The examination comprises<br />

a written test, given in two parts over<br />

two days, in which questions may be<br />

selected from a broad set in all areas<br />

of mechanical engineering and applied<br />

mathematics, devised to test the<br />

candidate’s ability to think creatively.<br />

There is also an oral examination based<br />

on some research project the student<br />

has undertaken. A candidate who fails<br />

the examination may be permitted to<br />

repeat it once in the following year.<br />

After passing the qualifying<br />

examination, the student chooses a<br />

faculty member in the pertinent area<br />

of specialization who then serves as<br />

the research adviser. This adviser<br />

helps select a research problem and<br />

supervises the research, writing, and<br />

defense of the dissertation. Once a<br />

specific problem has been identified<br />

and a tentative plan for the research<br />

prepared, the student submits a<br />

research proposal and presents it to<br />

a faculty committee. The committee<br />

considers whether the proposed<br />

problem is suitable for doctoral<br />

research, whether the plan of attack is<br />

well formulated and appropriate to the<br />

problem, and whether the student is<br />

adequately prepared. It may approve<br />

the plan without reservation, or it may<br />

recommend modifications or additions.<br />

This is the last formal requirement until<br />

the dissertation is submitted for approval.<br />

All doctoral students are required to<br />

successfully complete four semesters<br />

of the mechanical engineering seminar<br />

MECE E9500.<br />

courseS in mechanical<br />

engineering<br />

MECE E1001x Mechanical engineering:<br />

micromachines to jumbo jets<br />

3 pts. Lect: 3. Professor Myers.<br />

Corequisite: MATH V1101 Calculus I. This<br />

introductory course explores the role of Mechanical<br />

Engineering in developing many of the fundamental<br />

technological advances on which today’s society<br />

depends. Students will be exposed to several<br />

mature and emerging technologies through a<br />

series of case studies. Topics include: airplanes,<br />

automobiles, robots, modern manufacturing<br />

methods as well as the emerging fields of<br />

microelectromechanical machines (MEMS) and<br />

nanotechnology. The physical concepts that govern<br />

the operation of these technologies will be developed<br />

from basic principles and then applied in simple<br />

design problems. Students will also be exposed to<br />

state-of-the art innovations in each case study.<br />

MECE E3018x Mechanical engineering<br />

laboratory, I<br />

3 pts. Lect: 3. Professor Kysar.<br />

Experiments in instrumentation and measurement:<br />

optical, pressure, fluid flow, temperature, stress,<br />

and electricity; viscometry, cantilever beam, digital<br />

data acquisition. Probability theory: distribution,<br />

functions of random variables, tests of significance,<br />

correlation, ANOVA, linear regression. A lab fee of<br />

$50.00 is collected.<br />

MECE E3028y Mechanical engineering<br />

laboratory, II<br />

3 pts. Lect: 3. Professor Wong.<br />

Experiments in engineering and physical<br />

phenomena: aerofoil lift and drag in wind tunnels,<br />

laser Doppler anemometry in immersed fluidic<br />

channels, supersonic flow and shock waves,<br />

Rankine thermodynamical cycle for power<br />

generation, and structural truss mechanics and<br />

analysis. A lab fee of $50.00 is collected.<br />

MECE E3038x Mechanical engineering<br />

laboratory, III<br />

3 pts. Lect: 3. Professor Stolfi.<br />

Mechatronic control of mechanical and<br />

electromechanical systems. Control of various<br />

thermodynamic cycles, including internal<br />

combustion engine (Otto cycle). Reverse<br />

engineering of an electromechanical product. A lab<br />

fee of $50.00 is collected.<br />

MECE E3100x Introduction to mechanics<br />

of fluids<br />

3 pts. Lect: 3. Professor Liao.<br />

Prerequisite: ENME E3105. Basic continuum<br />

concepts. Liquids and gases in static equilibrium.<br />

Continuity equation. Two-dimensional kinematics.<br />

Equation of motion. Bernoulli’s equation and<br />

applications. Equations of energy and angular<br />

momentum. Dimensional analysis. Twodimensional<br />

laminar flow. Pipe flow, laminar, and<br />

turbulent. Elements of compressible flow.<br />

ENME E3105x and y Mechanics<br />

4 pts. Lect: 4. Professor Hone.<br />

Prerequisites: PHYS C1401 and MATH V1101,<br />

V1102, and V1201. Elements of statics, dynamics<br />

of a particle, systems of particles, and rigid bodies.<br />

ENME E3113x Mechanics of solids<br />

3 pts. Lect: 3. Professor Deodatis.<br />

Pre- or corequisite: ENME E3105 or equivalent.<br />

Stress and strain. Mechanical properties of<br />

materials. Axial load, bending, shear, and<br />

torsion. Stress transformation. Deflection of<br />

beams. Buckling of columns. Combined loadings.<br />

Thermal stresses.<br />

MECE E3301x Thermodynamics<br />

3 pts. Lect: 3. Professor Basalo.<br />

Classical thermodynamics. Basic properties and<br />

concepts, thermodynamic properties of pure<br />

substances, equation of state, work, heat, the first<br />

and second laws for flow and nonflow processes,<br />

energy equations, entropy, and irreversibility.<br />

Introduction to power and refrigeration cycles.<br />

MECE E3311y Heat transfer<br />

3 pts. Lect: 3. Professor Narayanaswamy.<br />

Steady and unsteady heat conduction. Radiative<br />

heat transfer. Internal and external forced and free<br />

convective heat transfer. Change of phase. Heat<br />

exchangers.<br />

MECE E3401x Mechanics of machines<br />

3 pts. Lect: 3. Professor Lin.<br />

Prerequisites: ENME E3105 and MECE E3408.<br />

Introduction to mechanisms and machines,<br />

analytical and graphical synthesis of mechanism,<br />

displacement analysis, velocity analysis,<br />

acceleration analysis of linkages, dynamics of<br />

mechanism, cam design, gear and gear trains, and<br />

computer-aided mechanism design.<br />

MECE E3408y Computer graphics and design<br />

3 pts. Lect: 3. Instructor to be announced.<br />

Introduction to drafting, engineering graphics,<br />

computer graphics, solid modeling, and mechanical<br />

engineering design. Interactive computer graphics<br />

and numerical methods applied to the solution<br />

of mechanical engineering design problems. A<br />

laboratory fee of $175 is collected.<br />

MECE E3409x Machine design<br />

3 pts. Lect: 3. Professor Ateshian.<br />

Prerequisite: MECE E3408. Computer-aided<br />

analysis of general loading states and deformation<br />

of machine components using singularity functions<br />

and energy methods. Theoretical introduction to<br />

static failure theories, fracture mechanics, and<br />

fatigue failure theories. Introduction to conceptual<br />

design and design optimization problems. Design<br />

of machine components such as springs, shafts,<br />

fasteners, lead screws, rivets, welds. Modeling,<br />

analysis, and testing of machine assemblies for<br />

engineering <strong>2011</strong>–<strong>2012</strong>

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