Engineering Mechanics (E M)

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Courses

Courses primarily for undergraduates:

(3-0) Cr. 3. F.S.SS.

Prereq: PHYS 221, credit or enrollment in MATH 166
Vector analysis; analysis of force systems; resultant in two and three dimensions; free-body diagrams; equilibrium; analysis of trusses, frames, and machines; friction, belts and pulleys; shear and bending moment in beams, centroid and center of mass; second moments of areas.

(3-0) Cr. 3. F.S.SS.

Prereq: E M 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.

(0-2) Cr. 1. F.S.SS.

Prereq: E M 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.

(3-0) Cr. 3. F.S.SS.

Prereq: E M 274, credit or enrollment in MATH 266 or MATH 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.

(Cross-listed with MAT E). (3-0) Cr. 3. S.

Prereq: PHYS 112 or PHYS 222
Radiography, ultrasonic testing, magnetic particle inspection, eddy current testing, dye penetrant inspection, and other techniques. Physical bases of tests, materials to which applicable, types of defects detectable, calibration standards, and reliability safety precautions.

(Cross-listed with MAT E). (0-3) Cr. 1. S.

Prereq: Credit or enrollment in MAT E 362
Application of nondestructive testing techniques to the detection and sizing of flaws in materials and to the characterization of material's microstructure. Included are experiments in hardness, dye penetrant, magnetic particle, x-ray, ultrasonic and eddy current testing. Field trips to industrial laboratories.

(2-2) Cr. 3. F.S.SS.

Prereq: E M 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.

(Dual-listed with E M 517). (Cross-listed with AER E). (2-2) Cr. 3. Alt. F., offered even-numbered years.

Prereq: E M 324; MAT E 273
Introduction to fundamental concepts for force, displacement, stress and strain measurements for structures and materials applications. Strain gage theory and application. Full field deformation measurements with laser interferometry and digital image processing. Advanced experimental concepts at the micro- and nano-scale regimes. Selected laboratory experiments.

(3-0) Cr. 3. F.S.

Prereq: E M 324
Analysis of stresses, strains, and deflections. Torsion and bending of unsymmetrical members. Analysis of thick wall pressure vessels and shrink fit problems. Dynamic load effects, fatigue and fracture mechanics introduction. Work-strain energy methods.

(3-0) Cr. 3. S.

Prereq: E M 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.

(Cross-listed with E E, M E). (2-2) Cr. 3. Alt. S., offered even-numbered years.

Prereq: PHYS 221 and MATH 266 or MATH 267
Properties of sounds waves and noise metrics (pressure, power levels, etc). Sound sources and propagation. Principles of wave propagation in one-, two-, and three-dimensions. Wave reflection and transmission. Wave propagation in rectangular, cylindrical, and annular ducts. Acoustics fields for model noise sources. Introduction to aerodynamic noise sources in aircraft, aircraft engines, and wind turbines. Selected laboratory experiments.

(Cross-listed with AER E). (3-0) Cr. 3. S.

Prereq: E M 324, MATH 266 or MATH 267, PHYS 222
Introduction to stress/strain, Hooke’s law, and elastic wave propagation in two dimensions in isotropic media. Ultrasonic plane-wave reflection and transmission; and simple straight-crested guided waves. Transducer construction, behavior, and performance. Simple signal analysis and discrete signal processing. The last few weeks of the course are devoted to case studies.

Cr. arr. Repeatable.

Prereq: Permission of instructor

Cr. arr. Repeatable.

Prereq: Permission of instructor

Courses primarily for graduate students, open to qualified undergraduates:

(3-0) Cr. 3. F.

Prereq: MATH 385
Introduction to Cartesian tensors as linear vector transformations. Kinematics of continuous deformations, Lagrangian and Eulerian descriptions of motion. Fundamental equations or balance laws of continuous media, linear and angular momentum balance. Conservation laws of momentum and energy. Introduction to constitutive equations of classical elastic solids and simple fluids. Formulations and solutions of some canonical problems.

(Cross-listed with AER E). (3-0) Cr. 3. F.

Prereq: E M 324
Theory of stress and strain, stress-strain relationships. Unsymmetrical bending, curved beams, shear center. Torsion of thin-walled noncircular sections. Equilibrium, compatibility equations. Airy stress functions. Membrane stresses in shells, thick-walled cylinders.

(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 analytical solutions such as Boussinesq, Hertz, Kirsch, Lamé, and Mitchell. Stress functions and potential methods and introduction to finite elements.

(Dual-listed with E M 417). (Cross-listed with AER E). (2-2) Cr. 3. Alt. F., offered even-numbered years.

Prereq: E M 324; MAT E 273
Introduction to fundamental concepts for force, displacement, stress and strain measurements for structures and materials applications. Strain gage theory and application. Full field deformation measurements with laser interferometry and digital image processing. Advanced experimental concepts at the micro- and nano-scale regimes. Selected laboratory experiments.

(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.

(Cross-listed with AER E). (3-0) Cr. 3. S.

Prereq: E M 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.

(3-0) Cr. 3. Alt. F., offered even-numbered years.

Prereq: E M 514 or E M 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.

(Cross-listed with M E). (3-0) Cr. 3. Alt. S., offered odd-numbered years.


Vibrations of continuous systems. Nonlinear vibration phenomena, perturbation expansions; methods of multiple time scales and slowly-varying amplitude and phase. Characteristics of random vibrations; random processes, probability distributions, spectral density and its significance, the normal or Gaussian random process. Transmission of random vibration, response of simple single and two-degree-of-freedom systems to stationary random excitation. Fatigue failure due to random excitation.

(3-0) Cr. 3. Alt. S., offered even-numbered years.

Prereq: E M 345, MATH 266 or MATH 267
3-D kinematics and dynamics of particles and rigid bodies. Coordinate systems, calculus of variations. Lagrange's equations with constraints, modified Euler's equations, torque-free motion of rigid bodies in 3-D, moment equations with constraints.

(Cross-listed with M S E). (3-2) Cr. 4. S.

Prereq: E M 324, MATH 385
Principles of five basic NDE methods and their application in engineering inspections. Materials behavior and simple failure analysis. NDE reliability, and damage-tolerant design. Advanced methods such as acoustic microscopy, laser ultrasonics, thermal waves, and computed tomography are analyzed. Computer-based experiments on a selection of methods: ultrasonics, eddy currents, x-rays are assigned for student completion.

(Cross-listed with M E). (3-0) Cr. 3. Alt. F., offered irregularly.

Prereq: E M 451
Theoretical acoustics: wave propagation in fluids; acoustic radiation, diffraction and scattering; nonlinear acoustics; radiation force; cavitation; and ray acoustics.

(Cross-listed with AER E, M E, M S E). (3-0) Cr. 3. Alt. F., offered even-numbered years.

Prereq: E M 324 and either MAT E 216 or MAT E 273 or MAT E 392. Undergraduates: Permission of instructor
Materials and mechanics approach to fracture and fatigue. Fracture mechanics, brittle and ductile fracture, fracture and fatigue characteristics, fracture of thin films and layered structures. Fracture and fatigue tests, mechanics and materials designed to avoid fracture or fatigue.

(Cross-listed with M E). (3-0) Cr. 3. S.

Prereq: EM 510 or EM 516 or EM 514
Continuum thermodynamics and kinetics approaches to phase transformations. Phase field approach to stress- and temperature-induced martensitic transformations and twinning at the nanoscale. Nucleation and growth. Nanostructural evaluation. Analytical and numerical solutions. Surface stresses and energy. Surface-induced phase transformations. Large Strain formulation.

(Cross-listed with AER E, M S E). (3-0) Cr. 3. Alt. S., offered even-numbered years.

Prereq: E M 324
Mechanics of fiber-reinforced materials. Micromechanics of lamina. Macromechanical behavior of lamina and laminates. Strength and interlaminar stresses of laminates. Failure criteria. Stress analysis of laminates. Thermal moisture and residual stresses. Joints in composites.

(Cross-listed with AER E). (3-0) Cr. 3. Alt. S., offered odd-numbered years.

Prereq: E M 378, E M 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.

Cr. 1-4. Repeatable.

Prereq: Permission of instructor

Cr. 1-4. Repeatable.

Prereq: Permission of instructor

Cr. arr. Repeatable.


Courses for graduate students:

Cr. 1-6. Repeatable.

Prereq: Permission of instructor

Cr. 1-6. Repeatable.

Prereq: Permission of instructor

Cr. 1-6. Repeatable.

Prereq: Permission of instructor

Cr. 1-6. Repeatable.

Prereq: Permission of instructor

Cr. 1-6. Repeatable.

Prereq: Permission of instructor

Cr. 1-6. Repeatable.

Prereq: Permission of instructor

Cr. 1-6. Repeatable.

Prereq: Permission of instructor

Cr. R. Repeatable.

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 basis only.

Cr. arr. Repeatable.