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400 | Graduate Courses
Engineering Mechanics
(Administered by the Department of Aerospace Engineering)
Thomas J. Rudolphi, Chair of Department
Distinguished Professors: R. B.Thompson
Professors: Chimenti, Holger, Inger, McDaniel, Pierson, Rajagopalan,
Rothmayer, Rudolphi, Schmerr, Tannehill, Tsai, Zachary
Professors (Adjunct): Hsu
Distinguished Professors (Emeritus):
D. Thompson, Young
Professors (Emeritus): Akers, Greer, Iversen, Jenison, McConnell,
Munson, Rizzo, Rogge, Rohach, Weiss, Wilson
Associate Professors: Dayal, Hilliard, Hindman, Lu, Mann, Mitra,
Sarkar, Sherman, Sturges
Associate Professors (Adjunct): Biner, Cox, Roberts
Associate Professors (Collaborators): Flatau
Associate Professors (Emeritus): Hermann, Seversike, Trulin, Vogel
Assistant Professors: Bastawros, Chavez, Haan, Jacobson
Assistant Professors (Adjunct): Byrd, Gray, Kellogg, Legg, Wolter
Undergraduate Study
The courses in mechanics are intermediate between those in physics
and mathematics and the professional and design courses of the several
engineering curricula. In the work of this department the student
is expected to acquire an understanding of the principles underlying
the technique of analysis and a knowledge of those properties of
materials which influence the manner and extent of their use for
engineering purposes. Physical properties of engineering materials
are studied in the classroom and are evaluated in the laboratory.
General laws, such as those of Newton, are given mathematical expression
and are made suitable for use in the solution of specific problems
in machine and structural design, and in the flow and measurement
of fluids.
Graduate Study
The department offers work for the degrees master of science, master
of engineering, and doctor of philosophy with major in engineering
mechanics, and minor work to students taking major work in other
departments.
The master of science degree requires a thesis and a minimum of
8 research credits. It has strong research emphasis and is recommended
for students who anticipate entering a doctoral program later. At
least 30 credits of acceptable graduate work are required for the
degree.
The master of engineering degree does not require either research
credits or a thesis. However, at least two credits of acceptable
creative component and at least 26 credits of acceptable graduate
coursework are required. A minimum of 30 credits of acceptable graduate
work is required for the degree. The program is intended to give
students additional instruction at the graduate level to better
qualify them for advanced professional engineering work. By careful
selection of electives and perhaps additional courses during the
senior undergraduate year, students should be able to qualify for
the master of engineering degree with an additional year of full-time
study after receiving their baccalaureate degree in one of the several
engineering curricula.
Credits for creative component will be obtained by registering for
E M 599. A written report and an oral presentation will be given
to the student’s graduate committee.
The normal prerequisite to major graduate work is the completion
of a curriculum substantially equivalent to that required of undergraduate
students in engineering at this university. However, because of
the diversity of interests in graduate work in engineering mechanics,
it is possible for a student to qualify for graduate study even
though undergraduate or prior graduate training has been in a discipline
other than engineering—e.g., physics or mathematics.
Courses open for nonmajor graduate credit: All 300- and 400-level
courses except 490.
Courses Primarily for Undergraduate Students
E M 274. Statics of Engineering.
(3-0) Cr. 3. F.S.SS. Prereq: Credit or enrollment in Math 166;
credit or enrollment in Phys 111 or 221. Vector and scalar treatment
of coplanar and noncoplanar force systems. Resultants, equilibrium,
friction, centroids, second moments of areas, principal second moments
of area, radius of gyration, internal forces, shear and bending
moment diagrams.
H. Honors. F.S.
E M 324. Mechanics of Materials.
(3-0) Cr. 3. F.S.SS. Prereq: 274. Plane stress, plane strain,
stress-strain relationships, and elements of material behavior.
Application of stress and deformation analysis to members subject
to centric, torsional, flexural, and combined loadings. Elementary
considerations of theories of failure, buckling. Nonmajor graduate
credit.
E M 327. Mechanics of Materials Laboratory.
(0-3) Cr. 1. F.S.SS. Prereq: Credit or enrollment in 324.
Experimental determination of mechanical properties of selected
engineering materials. Experimental verification of assumptions
made in 324. Use of strain measuring devices. Preparation of reports.
Students who are not present for the first laboratory meeting of
their own sections may qualify for continuation in the course only
by attending the first laboratory meeting of some other section
of the course. Nonmajor graduate credit.
E M 345. Dynamics. (3-0) Cr. 3. F.S.SS.
Prereq: 274, credit or enrollment in Math 266 or 267. Particle
and rigid body kinematics, Newton’s laws of motion, kinetics
of plane motion, rigid body problems using work-energy, linear,
and angular impulse-momentum principles, vibrations. Nonmajor graduate
credit.
E M 350. Introduction to Nondestructive Evaluation
Engineering. (3-0) Cr. 3. S. Prereq: 324, Math 266, Phys
222. Introduction to the fundamentals of ultrasonic, eddy current,
and x-ray testing. The generation, transmission, scattering, and
reception of ultrasonic waves and x-rays in an NDE inspection. Safety
issues. The connection between NDE, fracture mechanics, and reliability.
Probability of detection and its impact on failure. The use of NDE
in design. Nonmajor graduate credit.
E M 362. Principles of Nondestructive Testing.
(Same as Mat E 362.) See Materials Engineering. Nonmajor graduate
credit.
E M 362L. Nondestructive Testing Laboratory.
(Same as Mat E 362L.) See Materials Engineering. Nonmajor graduate
credit.
E M 378. Mechanics of Fluids. (2-2)
Cr. 3. F.S.SS. Prereq: 274. Properties of fluids. Fluid statics.
Kinematics and kinetics of fluid flow. Mass, momentum, and energy
conservation laws; dimensional analysis; flow in pipes and channels.
Selected laboratory experiments. Nonmajor graduate credit.
E M 417. Experimental Mechanics.
(2-2) Cr. 3. F. Prereq: 324. The use of strain gages and
brittle coating with applications to practical engineering problems.
Strain gage based transducers, recording and output devices. Selected
laboratory experiments. Nonmajor graduate credit.
E M 424. Intermediate Mechanics of Materials.
(3-0) Cr. 3. F.S. Prereq: 324. Stresses, strains, deflections
and angular twist of symmetrical and unsymmetrical members subjected
to combined loading. Analysis of contact stress problems and shrink
fit problems. Dynamic load effects, fatigue and fracture mechanics
introduction. Stress analysis of connections. Nonmajor graduate
credit.
E M 425. Introduction to the Finite Element
Method. (3-0) Cr. 3. S. Prereq: 324, Math 266 or Math
267. Introduction of finite element analysis through applications
to one-dimensional, steady-state problems such as elastic deformation,
heat and fluid flow, consolidation, beam bending, and mass transport.
Transient heat conduction and wave propagation. Two-dimensional
triangular and quadrilateral elements. Plane problems of torsion,
thermal and potential flow, stress analysis. Simple computer programs
for one- and two-dimensional problems. Nonmajor graduate credit.
E M 444. Mechanical Vibrations. (2-2)
Cr. 3. F. Prereq: 324, 345. Elementary vibration analysis,
single and multiple degrees of freedom, energy methods, free and
forced vibrations, viscous damping, transmissibility, matrix methods,
modal analysis. Selected laboratory experiments. Numerical methods
of solution. Nonmajor graduate credit.
E M 451. Engineering Acoustics. (Same
as M E 451.) (2-2) Cr. 3. S. Prereq: Phys 221 and Math 266 or
267. Sound sources and propagation. Noise standards and effects
of noise on people. Principles of noise and vibration control used
in architectural and engineering design. Characteristics of basic
noise measurement equipment. Experience in use of noise measuring
equipment, sound power measurements, techniques for performing noise
surveys, evaluation of various noise abatement techniques applied
to common noise sources. Selected laboratory experiments. Nonmajor
graduate credit.
E M 490. Independent Study. Cr. arr.
Prereq: Permission of instructor.
H. Honors
Courses Primarily for Graduate Students,
Open to Qualified Undergraduate Students
E M 510. Continuum Mechanics. (3-0)
Cr. 3. F. Prereq: Math 385. Presentation of the basic equations
of engineering mechanics: conservation of mass, conservation of
momentum, conservation of energy; principles of selection of constitutive
equations; constitutive relations for classical elastic materials
and classical fluids; simple rheological models for viscoelastic
materials; introduction to Cartesion tensors.
E M 514. Advanced Mechanics of Materials.
(Same as Aer E 514.) (3-0) Cr. 3. F. Prereq: 324. Theory
of stress and strain, stress-strain relationships. Limitations of
flexure and torsion formulas, unsymmetrical bending, curved beams,
cross-shear, shear center. Torsion of thin-walled noncircular sections.
Theories of failure, membrane stresses in shells, thick-walled cylinders.
E M 516. Mechanics of Deformable Solids.
(3-0) Cr. 3. S. Prereq: E M 510. Fundamental mechanics of
linear elasticity, formulation and solution of simple elastostatic
boundary value problems. Kinematics of small deformations, constitutive
equations for isotropic and anisotropic media. Field equations for
elastic solids, plane strain/plane stress and some classic canonical
solutions. Constitutive models of inelastic/plastic solids and selected
problems of elastoplasticiy, contact mechanics, fracture mechanics
and defects in crystalline solids.
E M 517. Experimental Mechanics. (Same
as Aer E 517.) (3-1) Cr. 4. Alt. S., offered 2005. Prereq: E
M 510 or 514 or 516. Fundamental concepts for force, displacement,
stress, and strain measurements. Strain gages, full field deformation
measurements with laser interferometry and digital image processing.
Advanced experimental concepts at the micro and nano scale regimes.
E M 518. Waves in Elastic Solids with Applications
to Ultrasonic Nondestructive Evaluation. (3-0) Cr. 3. F.
Prereq: Math 385. Propagation of bulk waves, surface waves,
and guided waves in isotropic and anisotropic elastic media. Transmission
and reflection of waves at plane and curved interfaces. Radiation
of sources with application to ultrasonic transducer beam modeling.
Elastic wave scattering from cracks and inclusions. Reciprocity
principles and their use in the development of an ultrasonic measurement
model. Characterization and measurement of material attenuation.
E M 525. Finite Element Analysis. (Same
as Aer E 525.) (3-0) Cr. 3. S. Prereq: 425, Math 385. Variational
and weighted residual approach to finite element equations. Emphasis
on two- and three-dimensional problems in solid mechanics. Isoparametric
element formulation, higher order elements, numerical integration,
imposition of constraints and penalty, convergence, and other more
advanced topics. Use of two- and three-dimensional computer programs.
Dynamic and vibrational problems, eigenvalues, and time integration.
Introduction to geometric and material nonlinearities.
E M 526. Boundary Element Methods in Engineering.
(3-0) Cr. 3. Alt. F., offered 2003. Prereq: 514 or 516. Introductory
boundary element methods through plane problems. Singular integrals,
Cauchy principal values, integral representations and boundary integrals
in one dimension. Direct and indirect formulations. Plane potential
and elastostatic problems. Higher order elements, numerical integration.
Regularizations. Body forces and infinite regions. Specialized fundamental
solutions, half-plane and axisymmetric problems. Diffusion and wave
problems. Coupling with finite elements.
E M 544. Mechanical Vibrations. (2-2)
Cr. 3. Alt. S., offered 2004. Prereq: 324, 345. Elements
of lumped parameter linear systems, kinematics of vibrations, equations
of motion for free and forced vibrations, energy methods, resonance,
damping, multiple degrees of freedom, mechanical impedance, isolation
and absorption of vibrations with impulsive and arbitrary excitation
of linear systems, primary and residual shock spectra. Vibration
of continuous systems.
E M 548. Advanced Engineering Dynamics.
(3-0) Cr. 3. Alt. S., ofered 2005. Prereq: 345, Math 266 or 267.
Dynamics of particles and rigid bodies. Generalized coordinates.
Lagrangian equations of motion. Equations of motion in terms of
Eulerian angles, motion of a gyroscope.
E M 550. Fundamentals of Nondestructive Evaluation.
(Same as M S E 550.) (3-2) Cr. 4. S. Prereq: 324, Math 385.
Basic physics of ultrasonic, radiographic, and electromagnetic NDE
measurements. Principles and uses of other quantitative techniques
in nondestructive evaluation. Signal processing and evaluation methods.
Laboratory experiments in ultrasonics, eddy current, and x-ray radiography
methods of NDE.
E M 551. Signal Processing in Mechanics.
(Same as M E 551.) See Mechanical Engineering.
E M 552. Advanced Acoustics. (3-0)
Cr. 3. Alt. F., offered 2003. Prereq: 451. Theoretical acoustics:
wave propagation in fluids; acoustic radiation, diffraction and
scattering; and architectural acoustics. Applications of basic acoustic
theory in noise control and acoustic radiation. Introduction to
selected numerical methods in acoustics.
E M 564. Fracture and Fatigue. (Same
as M S E 564 and M E 564.) (3-0) Cr. 3. F. Prereq: 324 and either
Mat E 211 or 272. Materials and mechanics approach to fracture
and fatigue. Fracture mechanics, brittle and ductile fracture, fracture
and fatigue characteristics. Fracture and fatigue tests, thermal
fracture, mechanics and materials designed to avoid fracture or
fatigue.
E M 569. Mechanics of Composite and Combined
Materials. (Same as M S E 569 and Aer E 569.) (3-0) Cr. 3.
Alt. S., offered 2005. Prereq: 324. Mechanics of fiber-reinforced
materials. Macromechanical behavior of lamina and laminates. Strength
and interlaminar stresses of laminates. Failure criteria. Micromechanics
of lamina. Stress analysis of laminates. Thermal moisture and residual
stresses.
E M 570. Wind Engineering. (Same as
Aer E 570.) (3-0) Cr. 3. F. Prereq: 378, 345. Atmospheric
circulations, atmospheric boundary layer wind, bluff-body aerodynamics,
aeroelastic phenomena, wind-tunnel and full-scale testing, wind-load
code and standards, effect of tornado and thunderstorm winds, design
applications.
E M 590. Special Topics. Cr. 1 to
4 each time taken. Prereq: Permission of instructor.
G. Random Vibrations
H. Mechanics of Thin Films and Adhesives
I. Mechanics of Cellular and Porous Media
J. Other
E M 599. Creative Component. Cr. arr.
Courses for Graduate Students
E M 690. Special Topics. Credit 1
to 6 each time taken. Prereq: Permission of instructor.
N. Advanced Experimental Methods
O. Advanced Wave Propagation
P. Advanced Materials
Q. Advanced Computational Methods
R. Reliability and Failure
S. Other
E M 697. Engineering Internship. Cr.
R. Prereq: Permission of DOGE (Director of Graduate Education),
graduate classification. One semester and one summer maximum
per academic year professional work period. Offered on a satisfactory-fail
grading basis only.
E M 699. Research.
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