Distinguished Professor: A. H. Nayfeh
Alexander F. Giacco Chair of Engineering: K. L. Reifsnider
Clifton C. Garvin Professor: R. C. Batra
Waldo N. Harrison Professor: D. T. Mook
Francis J. Maher Professor: D. P. Telionis
Preston Wade Professor: M. P. Singh
Professors: R.W. Barnwell; M. S. Cramer; D. A. Dillard; N. E. Dowling; J. C. Duke; J. W. Grant; Z. Gurdal; E. G. Henneke; M. W. Hyer; L. G. Kraige; L. Librescu; A. C. Loos; D. H. Morris; S. A. Ragab
Associate Professors: M. R. Hajj; S. L. Hendricks; R. D. Kriz; J. J. Lesko; S. Thangjitham
Assistant Professors: S. W. Case; H. Dankowicz; M. L. Madigan; Z. N. Masoud
Instructor: E. C. Pappas
Adjunct Professors: J. R. Foy; J. S. Wayne
Professors Emeritus: D. Frederick; R. A. Heller; R. M. Jones; L. Meirovitch; A. A. Pap; D. Post; C. W. Smith; H. W. Tielman
Career Advisor: M. R. Hajj
Mechanics is a fundamental area of science and engineering. It is an exciting, expanding field of learning with its roots grounded in the laws of motion formulated by Newton and the principles governing the behavior of solids and fluids, branching out in modern times into pertinent interdisciplinary high technology fields such as new engineering materials (adhesives, composites, polymers, light metals), biomechanics, transportation, wind engineering, and vehicular structures. Although the problems to which they are applied may change, the basic principles of mechanics remain current and relevant.
The Department of Engineering Science and Mechanics has a rich tradition at Virginia Tech for providing a strong interdisciplinary engineering education. The undergraduate program educational objectives are:
These educational objectives are supported by a curriculum that seeks to have its graduates achieve the following program outcomes:
A total of 12 credit hours of technical electives, 6 credit hours of senior design and project and 9 credit hours of free electives give the student freedom to develop individually tailored programs of concentrated study. Students take courses in basic engineering sciences such as statics, dynamics, deformable bodies, and fluid mechanics, followed by applications oriented courses in solids, fluids, dynamics, and experimental and computational methods. Exposure to the design process exists throughout the curriculum, culminating in a senior level capstone design course.
Undergraduate courses in engineering science and mechanics are taught on a service basis for all engineering curricula. A minor in mechanics is available for engineering students. The department offers graduate programs leading to M.S. (thesis and non-thesis option), M.Eng., and Ph.D. (see Graduate Catalog). The department also participates in the Five Year Bachelor's/Master's Program.
The Cooperative Education Program is available to qualified candidates at undergraduate and graduate levels.
Students majoring in Engineering Science and Mechanics who are residents of Delaware, Maryland, South Carolina, and West Virginia may be eligible for the Academic Common Market, a program whereby residents of these states are eligible for Virginia in-state tuition. Contact the Office of Undergraduate Admissions for information. A total of 136 credits are required for the ESM degree.
The student may use the technical electives, free electives, and the senior design and project to develop individually tailored programs of concentrated study in one of the following areas:
In cases where a student plans to go on to medical school, entrance requirements can be satisfied. Students who do not want to complete the entire biomechanics sequence (BIOL 2405-2406, ESM 1114, 4105-4106, 4204, 4574, 5405-5406) may study a smaller number of courses in this field.
| Second Year | ||
|---|---|---|
| First Semester | ||
| ESM 2104: Statics | 3 | (3) |
| ISE 2014: Engineering Economy | 2 | (2) |
| MATH 2224: Multivariable Calculus | 3 | (3) |
| PHYS 2306: Foundations of Physics | 4 | (4) |
| Aesthetics Elective (Area 6) | 1 | (1) |
| University Core (Area 2 or 3) | 3 | (3) |
| Credits | (16) | |
| Second Semester | ||
| ESM 2204: Mech of Deform Bodies | 3 | (3) |
| ESM 2074: Computational Methods | 3 | (3) |
| ESM 2304: Dynamics | 3 | (3) |
| MATH 2214: Intro. to Differential Equations | 3 | (3) |
| MSE 2044: Elements of Materials Engineering | 3 | (3) |
| University Core (Area 2 or 3) | 3 | (3) |
| Credits | (18) | |
| Third Year | ||
| First Semester | ||
| ECE 3054: Electrical Theory | 3 | (3) |
| ESM 3015: Fluid Mechanics I | 2 | (2) |
| ESM 3054: Mech Behavior of Matls | 2 | (2) |
| ESM 3064: Mech Behavior of Mat Lab | 3 | (1) |
| MATH 4574: Vector and Complex Analysis | 3 | (3) |
| ME 3134: Thermodynamics | 3 | (3) |
| University Core (Area 2 or 3) | 3 | (3) |
| Credits | (17) | |
| Second Semester | ||
| ESM 3016: Fluid Mechanics II | 3 | (3) |
| ESM 3034: Fluid Mechanics Lab | 3 | (1) |
| ESM 3124: Intermediate Dynamics | 3 | (3) |
| ESM 4054: Solid & Struc. Mechanics | 3 | (3) |
| MATH 4564: Operational Methods for Engineers | 3 | (3) |
| ESM 4004: Inst. and Exp. Mech. | 3 | (3) |
| Credits | (16) | |
| Fourth Year | ||
| First Semester | ||
| ESM 4014: Appl Fluid Mech | 3 | (3) |
| ESM 4015: Creative Design I | 2 | (3) |
| ESM 4074: Vibration and Control | 3 | (3) |
| ESM 4614: Intro Reliability Eng. | 2 | (2) |
| Technical Electives | 6 | (6) |
| Credits | (17) | |
| Second Semester | ||
| ESM 4016: Creative Design II | 1 | (3) |
| ESM 4094: Comp Meth Mech | 3 | (3) |
| Free Elective | 3 | (3) |
| University Core (Area 2 or 3, and 7) | 3 | (3) |
| Technical Electives | 6 | (6) |
| Credits | (18) |
1054: INTRODUCTION TO NDE ENGINEERING
Introduction to science and technology of nondestructive evaluation (NDE) engineering. Basic concepts and terminology are presented. Applications in different industries are explored. (1H,1C) II.
1114: SURVEY OF BIOMEDICAL ENGINEERING
Scope and history of BME, engineering for diagnosis, therapy, and rehabilitation of living systems, medical electronics and instrumentation, non-invasive diagnostic imaging, life support equipment, automation/quantification of medical data, biological signal analysis, clinical engr, biomechanics, biotechnology, genetic engr, bionics, biodynamics, bioastronautics, environmental engr, biomaterials, space medicine, prosthetics, orthotics, artificial organs, artificial intelligence, studies of engineering contributions to health care and physiological research. (2H,1C) I.
2074 (AOE 2074): COMPUTATIONAL METHODS
Solving engineering problems using numerical methods and software, truncation and round-off error, root finding, linear and polynomial regression, interpolation, splines, numerical integration, numerical differentiation, solution of linear simultaneous equations, numerical solutions of ordinary differential equations. Pre: EF 1016. Co: MATH 2224. (3H,3C) I,II.
2104: STATICS
Vector mechanics of forces and moments, free-body diagrams, couples, resultants, equilibrium of particles and rigid bodies in two and three dimensions, forces in trusses, frames, and machines, centroids, centers of mass, distributed forces, internal shear forces and bending moments in beams, shear and moment diagrams, friction, belt friction, area of moments of inertia, parallel axis theorem. Pre: EF 1016, MATH 1114. Co: MATH 2224. (3H,3C) I,II,III,IV.
2204: MECHANICS OF DEFORMABLE BODIES
Concepts of stress, strain, and deformation. Factor of safety. Stress-strain relationships and material properties. Stress concentrations. Area moments of inertia. Axially loaded members, torsionally loaded members, bending of beams. Shear and moment diagrams. Stresses due to combined loading. Thin-walled pressure vessels. Transformation of stress including Mohr's circle. Beam deflections and buckling stability. Pre: 2104. (3H,3C) I,II,III,IV.
2214: STATICS & MECH MATLS
Forces, moment, resultants, and equilibrium. Stress, strain, and stress-strain relations. Centroids and distributed loads. Analysis of axially loaded bars and beams. Principal stresses and Mohr's circle, combined loading. Pressure vessels and buckling of columns. Partially duplicates 2104 and 2204. Must be ChE major. Pre: . Co: MATH 2224. (3H,3C) I.
2304: DYNAMICS
Vector treatment of the kinematics and kinetics of particles and rigid bodies, Newton's laws, work and energy, impulse and momentum, impact, mass moments of inertia, rotating axes. Pre: 2104. Co: MATH 2214. (3H,3C) I,II,III,IV.
2974: INDEPENDENT STUDY
Variable credit course.
2984: SPECIAL STUDY
Variable credit course.
2994: UNDERGRADUATE RESEARCH
Variable credit course.
3015-3016: FLUID MECHANICS I, II
Fluid statics. Dimensional analysis. Control volume approach to flow analysis, pipe flows. Introduction to continuum mechanics, differential approach, fluid kinematics, derivation of mass, momentum and energy equations, boundary layers, vorticity dynamics, potential flows, compressible flows, lift and drag. Pre: 2304, MATH 2224 for 3015; MATH 4574 for 3016. Co: ME 3134 for 3015; 3034 for 3016. 3015: (2H,2C) 3016: (3H,3C) 3015: I; 3016: II.
3024: INTRODUCTION TO FLUID MECHANICS
Fluid properties and hydrostatics. Derivation and application of the continuity, momentum, and energy equation (Bernoulli's equation) for ideal and real fluid flow (laminar or turbulent). Dimensional analysis and similitude. Introduction to boundary layers, lift and drag. Pre: 2304, MATH 2224. (2H,2L,3C) I.
3034: FLUID MECHANICS LABORATORY
Introduction to experimental fluid mechanics. Technical writing. Experiments on fluid properties, manometry, hydrostatic forces on submerged surfaces, flow measurements, impulse-momentum principle, velocity measurements, drag forces on cylinders, model testing of ships, flow visualization and hydraulic jumps. Demonstration of modern data acquisition. Pre: 3015. (3L,1C) II.
3054 (MSE 3054): MECHANICAL BEHAVIOR OF MATERIALS
Mechanical properties and behavior of engineering materials subjected to static, dynamic, creep and fatigue loads under environments and stress states typical of service conditions; biaxial theories of failure; behavior of cracked bodies; microstructure-property relationships and design methodologies for homogeneous and composite materials. Pre: 2204. (2H,2C) I,II.
3064 (MSE 3064): MECHANICAL BEHAVIOR OF MATERIALS LABORATORY
Laboratory experiments on mechanical properties and behavior of homogenous and composite engineering materials subjected to static, dynamic, creep, and fatigue loads; biaxial theories of failure; behavior of cracked bodies; microstructure-property relationships and design methodologies. Co: 3054. (3L,1C) I,II.
3124: INTERMEDIATE DYNAMICS
Vector analysis, Newton's Laws, rotating coordinate systems, particle dynamics, orbital mechanics, systems of particles, rigid-body dynamics, inertia matrix, Eulerian angles, introduction to gyroscopic motion, Lagrange's equations. Pre: 2304, MATH 2214, MATH 2224. (3H,3C) II.
3274: BIOMEDICAL INSTRUMENTATION
Principles and practices of measurements, measurement standards and accuracy, specialized measurement systems used in biomedical engineering research and development, detector, transducers, signal modifying systems, readout devices, their use in the biomedical laboratory and in clinical applications. Pre: BIOL 1006. (2H,3L,3C).
3704: BASIC PRINCIPLES OF STRUCTURES
Static equilibrium of forces and moments, concurrent and nonconcurrent force systems, center of gravity, concentrated and distributed loads. Solution of trusses. Stress and strain, elastic behavior of materials, cables and arches, shear, bending, and deformation in beams, indeterminate structures. Not available to students in engineering. (3H,3C) I.
4004 (BSE 4004): INSTRUMENTATION & EXPERIMENTAL MECHANICS
Introduction to instrumentation. Data analysis: uncertainty, error and statistical concepts. Devices: digital multi-meters, oscilloscopes, power supplies, and function generators. Circuits: ballast circuits, wheatstone bridges, operational amplifiers, and transistors. Principles of data acquisition. Fourier analysis. Measurements of velocity, pressure, strain, displacement, forces and accelerations. Laboratory and design projects. Pre: 2204, 2304, 3015 or 3024, ECE 3054. (2H,2L,3C).
4014: APPLIED FLUID MECHANICS
Analysis of flow over practical configurations, panel methods, Reynolds-averaged Navier-Stokes equations, turbulent boundary layers, flow separation and three-dimensional effects. Unsteady flows, fluid-structure interactions. Pre: 2074, 3016. (3H,3C) I.
4015-4016: CREATIVE DESIGN & PROJECT I, II
Design of engineering systems and projects encompassing the principles and practices of engineering science and of the several engineering fields. Investigation and report on a supervised design project. Requires senior standing. 4015: (2H,3L,3C) 4016: (1H,6L,3C) 4015: I; 4016: II.
4024: ADVANCED MECHANICAL BEHAVIOR OF MATERIALS
Response of metallic and nonmetallic engineering materials from a mechanics perspective: mechanics of three-dimensional stress and strain states, micromechanics, mechanics of failure, life prediction, design failures. Pre: 3054 or ME 4614. (3H,3C) II.
4044: MECHANICS OF COMPOSITE MATERIALS
Properties and mechanics of fibrous, laminated composites. Classical lamination theory, micromechanics, stiffness and strength, fabrication and testing. Thermal stresses. Design, analysis, and computerized implementation. Pre: 2204. (3H,3C) I.
4054: SOLID & STRUCTURAL MECHANICS
Introduction to elasticity and continuum mechanics, plane stress and plane strain; bending of beams; deflections, shear center; torsion of general cross-section bars; comparison of elasticity solutions with strength of materials; introduction to energy methods, application of virtual work to frames, beams, and shafts; elastic instability of columns. 3D trusses, cables and arches; flexibility and stiffness coefficients; indeterminate structures, superposition. Pre: (2204, 3054, 2074) or MSE 3354. (3H,3C) II.
4064: EXPERIMENTAL MECHANICS
Analytical and experimental methods for measuring strain fields in elastic bodies including mechanical, electrical, and optical methods (using electric resistance strain gages, photoelasticity, moire interferometry, and crack extension gages). Pre: 2204. (2H,2L,3C).
4074: VIBRATION & CONTROL
Single-degree-of-freedom vibration, two- and n-degree-of-freedom systems, continuous systems, introduction to nonlinear systems, system stability, introduction to the control of dynamic systems. Pre: 3124, MATH 4564. (3H,3C) I.
4084 (AOE 4084): ENGINEERING DESIGN OPTIMIZATION
Use of mathematical programming methods for engineering design optimization including linear programming, penalty function methods, and gradient projection methods. Applications to minimum weight design, open-loop optimum control, machine design, and appropriate design problems from other engineering disciplines. Pre: MATH 2224. (3H,3C) II.
4094: COMPUTATIONAL METHODS IN MECHANICS
Finite-difference methods for parabolic, hyperbolic, and elliptic partial differential equations; explicit and implicit methods; stability analysis; sparse linear systems. Introduction to the finite-element method. Applications to engineering problems in heat transfer, fluid mechanics, solids, structural mechanics, and motion. Pre: 2074, MATH 4564. (3H,3C) II.
4105-4106: ENGINEERING ANALYSIS OF PHYSIOLOGIC SYSTEMS
Engineering analysis of human physiology. Physiologic systems are treated as engineering systems with emphasis input-output considerations, system interrelationships and engineering analogs. 4105: Mass and electrolyte transfer, nerves, muscles, renal system. 4106: cardiovascular mechanics, respiratory system, digestive systems, senses. Pre: 2304, MATH 2214. (3H,3C) I,II.
4114: NONLINEAR DYNAMICS & CHAOS
Motion of systems governed by first-, second-, and third-order differential and difference equations: stability, geometry, phase planes, bifurcations, Poincare' maps, point attractors, limit cycles, strange attractors, fractal dimensions, Lyapunov exponents. Forced oscillations of one-degree-of-freedom systems: jump phenomena, sub- and superharmonic resonances, Hopf bifurcations, period-multiplying bifurcations, chaos. Pre: 2304, MATH 2214. (3H,3C) II.
4124: MULTI-BODY MECHANICS AND VISUALIZATION
Spatial geometry, vector algebra, three-dimensional rotations, reference frames, generalized coordinates, generalized speeds, configuration constraints, velocity constraints, constraint singularities, kinematic differential equations, force, torque, energy, particle dynamics, rigid-body dynamics, computer algebra, computer animations. Pre: MATH 1114, MATH 2224. (3H,3C).
4154 (MSE 4154): NONDESTRUCTIVE EVALUATION OF MATERIALS
Concepts and methods of nondestructive evaluation of materials. Discussion of techniques and mathematical bases for methods involving mechanical, optical, thermal, and electromagnetic phenomena; design for inspectability; technique selection criteria; information processing and handling; materials response; laboratory. Pre: (3054 or MSE 3354), (ESM 3064 or MSE 3364), (PHYS 2305, PHYS 2306). (2H,3L,3C).
4184 (AOE 4184): DESIGN & OPTIMIZATION OF COMPOSITE STRUCTURES
Design aspects of laminate constitutive relations, coupling and decoupling of in-plane and out-of-plane elastic response. Tailoring of laminated composite materials to meet design requirements on stiffness and strength through the use of graphical and numerical optimization techniques. Introduction to integer programming: branch-and-bound method and genetic algorithms. Stacking sequence design of laminated composite beams and plates via integer programming. Pre: AOE 3024, CEE 3404. (3H,3C).
4204: MUSCULOSKELETAL BIOMECHANICS & BIOLOGIC CONTROL
Static and dynamic forces in the musculoskeletal system, joint reactions, and prosthetic joint design and replacement. Soft and hard tissue response to force loads. Muscle mechanics. Biomechanical lumped parameter systems: modeling and frequency response. Spatially distributed biomechanical models. Feedback control (closed-loop control) of biomechanical systems. Pre: 2204, (4074 or ME 4504). (3H,3C).
4404: FUNDAMENTALS OF PROFESSIONAL ENGINEERING
A refresher of basic principles and problem solving techniques involving twelve subject areas most common to all engineering curricula. The topics include those tested by the National Council of Engineering Examiners on the EIT (Engineer in Training) examination, the first requirement, in all fifty states, toward P.E. (Professional Engineer) licensing. Duplicates material of other engineering courses and impracticable for nonengineers, hence not usable for credit toward any degree. Pre: Junior and senior standing in Engineering or in Building Construction or Graduate students in Engineering. Pass/Fail only. (2H,2C) II.
4444 (AOE 4054, CEE 4444): STABILITY OF STRUCTURES
Introduction to the methods of static structural stability analysis and their applications. Buckling of columns and frames. Energy method and approximate solutions. Elastic and inelastic behavior. Torsional and lateral buckling. Use of stability as a structural design criterion. Pre: AOE 3024, CEE 3404. (3H,3C).
4524: INTRODUCTION TO WAVE MOTION
Introduction to fundamentals of wave propagation. Topics include wave speed and dispersion relations, group velocity, wavepackets, waveguides, wave reflections, effects of nonuniformity and nonlinearity. General phenomena will be illustrated through use of specific physical applications and well-known model equations. Examples will be drawn from all areas of the physical sciences including solid and fluid dynamics, acoustics, geophysics, and electromagnetic field theory. Pre: MATH 4564. (3H,3C).
4574 (MSE 4574): BIOMATERIALS
Lectures and problems dealing with materials used to mimic/ replace body functions. Topics include basic material types and possible functions, tissue response mechanisms, and considerations for long term usage. Integrated design issues of multicomponent materials design in prosthetic devices for hard and soft tissues are discussed. Pre: Graduate standing in the College of Veterinary Medicine. Pre: MSE 3354, (ESM 3054). (3H,3C).
4614: INTRODUCTION TO RELIABILITY-BASED ENGINEERING DESIGN
Basic concepts of reliability, useful probability distributions, probabilistic design, safety factors and safety index, system reliability, failure rate, service life calculations. Pre: 2204, 3064. (2H,2C).
4714: SCIENTIFIC VISUAL DATA ANALYSIS & MULTIMEDIA
Classical and advanced methods of visual data analysis within scientific applications context; emphasis on examples of scientific investigation with visual tools, and new visual methods with computer graphics; visual data analysis of numerical experimental and analytical results including: gradients, function-extraction, chaos, nth-order tensor glyph representations, molecular synthesis. Pre: (MATH 1015, MATH 1016) or (MATH 1205, MATH 1206). (3H,3C) II.
4734 (AOE 4024): AN INTRODUCTION TO THE FINITE ELEMENT METHOD
The finite element method is introduced as a numerical method of solving the ordinary and partial differential equations arising in fluid flow, heat transfer, and solid and structural mechanics. The classes of problems considered include those described by the second-order and fourth-order ordinary differential equations and second-order partial differential equations. Both theory and applications of the method to problems in various fields of engineering and applied sciences will be studied. Pre: 2074, MATH 2224. (3H,3C).
4904: PROJECT & REPORT
Variable credit course. X-grade allowed.
4974: INDEPENDENT STUDY
Variable credit course.
4984: SPECIAL STUDY
Variable credit course.
4994: UNDERGRADUATE RESEARCH
Variable credit course.
Please see the Graduate Catalog for graduate course listings.
Virginia Tech -- Undergraduate Catalog, 2002-2004
Last update: August 2002
URL: http://www.vt.edu/academics/ugcat/ucdESM.html