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

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CIEN E6246y Advanced soil mechanics
3 pts. Lect: 2.5. Professor Ling.
Prerequisite: CIEN E3141. Stress-dilatancy of
sand; failure criteria; critical state soil mechanics;
limit analysis; finite element method and case
histories of consolidation analysis.
CIEN E6248x Experimental soil mechanics
3 pts. Lect: 2.5. Not offered in 2011–2012.
Prerequisite: CIEN E3141. Advanced soil testing,
including triaxial and plane strain compression
tests; small-strain measurement. Model testing;
application (of test results) to design.
CIEN E9101x and y–S9101 Civil engineering
research
1–4 pts. Members of the faculty.
Advanced study in a specialized field under the
supervision of a member of the department staff.
Before registering, the student must submit an
outline of the proposed work for approval of the
supervisor and the department chair.
CIEN E9120x and y–S9120 Independent
studies in flight sciences
3 pts. By conference.
Prerequisite: Instructor’s permission. This course
is geared toward students interested in flight
sciences and flight structures. Topics related
to aerodynamics, propulsion, noise, structural
dynamics, aeroelasticity, and structures may be
selected for supervised study. A term paper is
required.
CIEN E9130x and y–S9130 Independent
studies in construction
3 pts. By conference.
Prerequisites: Permission by department chair and
instructor. Independent study of engineering and
construction industry problems. Topics related to
capital planning and financing, project management,
contracting strategies and risk allocation, dispute
mitigation and resolution, and infrastructure
assessment and management may be selected for
supervised study. A term paper is required.
CIEN E9165x and y–S9165 Independent
studies in environmental engineering
4 pts. By conference.
Prerequisite: CIEN E4252 or the equivalent.
Emphasizes a one-on-one study approach to
specific environmental engineering problems.
Students develop papers or work on design
problems pertaining to the treatment of solid
and liquid waste, contaminant migration,
and monitoring and sampling programs for
remediation design.
CIEN E9201x and y–S9201 Civil engineering
reports
1–4 pts. By conference.
A project on some civil engineering subject
approved by department chair.
CIEN E9800x and y–S9800 Doctoral research
instruction
3–12 pts. May be taken for 3, 6, 9, or 12 points,
dependent on instructor’s permission.
A candidate for the Eng.Sc.D. degree in civil
engineering must register for 12 points of
doctoral research instruction. Registration in
CIEN E9800 may not be used to satisfy the
minimum residence requirement for the degree.
CIEN E9900x and y–S9900 Doctoral
dissertation
Members of the faculty.
A candidate for the doctorate may be required
to register for this course every term after the
student’s coursework has been completed and
until the dissertation has been accepted.
Courses in Engineering
Mechanics
See also Civil Engineering.
ENME E3105x or y Mechanics
4 pts. Lect: 4. Professors Hone and Testa.
Prerequisites: PHYS C1406 and MATH
V1101-V1102 and V1201. Elements of statics;
dynamics of a particle and systems of particles;
dynamics of rigid bodies.
ENME E3106x Dynamics and vibrations
3 pts. Lect: 2. Professor Smyth.
Prerequisite: Math E1201. Corequisite: ENME
E3105. Kinematics of rigid bodies; momentum
and energy methods; vibrations of discrete
and continuous systems; eigenvalue problems,
natural frequencies and modes. Basics of
computer simulation of dynamics problems using
MATLAB or Mathematica.
ENME E3113x Mechanics of solids
3 pts. Lect: 3. Professor Deodatis.
Pre- or corequisite: ENME E3105 or equivalent.
Stress and strain. Mechanical properties of
materials. Axial load, bending, shear, and
torsion. Stress transformation. Deflection of
beams. Buckling of columns. Combined loadings.
Thermal stresses.
ENME E3114y Experimental mechanics of
materials
4 pts. Lect: 2. Lab: 3. Professor Yin.
Prerequisite: ENME E3113. Material behavior
and constitutive relations. Mechanical properties
of metals and cement composites. Structural
materials. Modern construction materials.
Experimental investigation of material properties
and behavior of structural elements including
fracture, fatigue, bending, torsion, buckling.
ENME E3161x Fluid mechanics
4 pts. Lect: 3. Lab: 3. Professor Waisman.
Prerequisites: ENME E3105 and ordinary
differential equations. Fluid statics. Fundamental
principles and concepts of flow analysis.
Differential and finite control volume approach to
flow analysis. Dimensional analysis. Application
of flow analysis: flow in pipes, external flow, flow
in open channels.
ENME E4113x Advanced mechanics of solids
3 pts. Lect: 3. Professor Yin.
Stress and deformation formulation in two-and
three-dimensional solids; viscoelastic and plastic
material in one and two dimension energy methods.
ENME E4114y Mechanics of fracture
and fatigue
3 pts. Lect: 3. Professor Testa.
Prerequisite: Undergraduate mechanics of solids
course. Elastic stresses at a crack; energy
and stress intensity criteria for crack growth;
effect of plastic zone at the crack; fracture
testing applications. Fatigue characterization by
stress-life and strain-life; damage index; crack
propagation; fail safe and safe life analysis.
EMME E4115y Micromechanics of composite
materials
3 pts. Lect: 3. Professor Yin.
Prerequisite: ENME E4113 or instructor’s
approval. An introduction to the constitutive
modeling of composite materials: Green’s
functions in heterogenous media, Eshelby’s
equivalent inclusion methods, eigenstrains,
spherical and ellipsoidal inclusions, dislocations,
homogenization of elastic fields, elastic,
viscoelastic and elasto-plastic constitutive
modeling, micromechanics-based models.
ENME E4202y Advanced mechanics
3 pts. Lect: 3. Professor Smyth.
Prerequisite: ENME E3105 or equivalent.
Differentiation of vector functions. Review
of kinematics. Generalized coordinates and
constraint equations. Generalized forces.
Lagrange’s equations. Impulsive forces.
Collisions. Hamiltonian. Hamilton’s principle.
ENME E4214y Theory of plates and shells
3 pts. Lect: 3. Not offered in 2011–2012.
Prerequisite: ENME E3113. Static flexural
response of thin, elastic, rectangular, and
circular plates. Exact (series) and approximate
(Ritz) solutions. Circular cylindrical shells.
Axisymmetric and nonaxisymmetric membrane
theory. Shells of arbitrary shape.
ENME E4215x Theory of vibrations
3 pts. Lect: 3. Professor Betti.
Frequencies and modes of discrete and
continuous elastic systems. Forced vibrationssteady-state
and transient motion. Effect of
damping. Exact and approximate methods.
Applications.
ENME E4332x Finite element analysis, I
3 pts. Lect: 3. Professor Waisman.
Prerequisites: Mechanics of solids, structural
analysis, elementary computer programming
(MATLAB) is recommended, linear algebra
and ordinary differential equations. Direct
stiffness approach for trusses. Strong and
weak forms for one-dimensional problems.
Galerkin finite element formulation, shape
functions, Gauss quadrature, convergence.
Multidimensional scalar field problems (heat
conduction), triangular and rectangular elements,
Isoparametric formulation. Multidimensional
vector field problems (linear elasticity). Practical
FE modeling with commercial software
(ABAQUS). Computer implementation of the
finite element method. Advanced topics.
engineering 2011–2012