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Master E.M.M.E.

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EMME

EU-US Transatlantic Degree Program
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Engineering Mechanics/Materials Engineering

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Undergraduate Courses Administered by engineering mechanics

  • 220 Statics, 3 cr. Fundamental concepts, equilibrium of force systems, analysis of simple frames and trusses. Centroid and moments of inertia and friction. For students in architecture and construction management. Prereq: Math 106.

  • 223 Engineering Statics, 3 cr. The action of forces on engineering structures and machines. Force systems, static equilibrium of frames and machines. Friction, center of gravity, moments of inertia, vector algebra. Prereq: Math 107, Phys. 211.

  • 223H Engineering Statics Honors, 3 cr. The study of bodies in equilibrium. Vector algebra, equivalent force systems, distributed loads, and center of gravity. The analysis of trusses, frames, and machines. Friction, wedges, screws, and belts. Area moments of inertia. Honors students will be expected to do more advanced problems and will complete a project related to the principles of statics. Prereq: Math 107, Phys. 211.

  • 250 Mechanics I, 2 cr. Force actions in static coplanar systems with applications to engineering structures and machines. Resultants, moments, couples, equivalent force systems, vector algebra. Static equilibrium conditions and equations. For electrical engineering majors. Prereq: Phys. 211.

  • 324 Strength of Materials, 3 cr. Stress and strain analysis in elastic materials. Use of properties of materials in the analysis and design of welding and riveted connections, statically determinate and indeterminate flexural members, columns. Combined stress, axial, eccentric and torsional loading. Observations of laboratory tests for axially loaded specimens. Introduction to shear and moment diagrams. For students in architecture and construction management. Prereq: ENGM 220 or 223.

  • 325 Mechanics of Elastic Bodies, 3 cr. Concepts of stress and strain considering axial, torsional, and bending forces. Shear and moments. Introduction to combined stress and column theory. Prereq: ENGM 223, Math 208.

  • 325H Mechanics of Elastic Bodies Honors, 3 cr. Concepts of stress and strain. Extension, bending, and torsion. Shear and moment diagrams. Principal stresses. Deflection of statically determinate and indeterminate beams. Buckling of columns. Special advanced topics. Honors studednts will be expected to do more of the advanced problems and will be required to develop a report showing substantial mastery of one of the topics covered. Prereq: ENGM 223, Math 208.

  • 350 Mechanics II, 2 cr. Application of Newton's law to engineering problems involving coplanar kinematics and kinetics of particles. Work, energy, impulse, and momentum. Conservative systems. Periodic motion. For electrical engineering majors. Prereq: ENGM 250.

  • 373 Engineering Dynamics, 3 cr. A study of force action related to displacement, velocity, acceleration of rigid bodies. Kinematics of plane motion, kinetics of translation and rotation. Mass moments of inertia, vibrations, work, energy and power, impulse and momentum. Prereq: ENGM 223, Math 208.

  • 373H Engineering Dynamics Honors, 3 cr. The study of motion of particles and rigid bodies under the action of forces and moments. Kinematics of plane motion: displacement, velocity, and acceleration. Kinetics of translation and rotation; work, energy and power; impulse, momentum and impact. Introduction to vibration analysis. Honors students will be expected to participate in team projects related to the principles of dynamics. Prereq: ENGM 223, Math 208.

  • 380 Elements of Computer-Aided Design, 3 cr. Principles and techniques currently used for computer-aided design (CAD). Applications of interative graphics devices for drafting, design, and analysis. Modelling and analogy of engineering systems. Elementary finite element, Bode, and numerical analysis. CAD case studies and term project. Prereq: ENGM 112 or CSCE 150, Math 221.

  • 399 Undergraduate Research and Thesis, 1-5 cr. An engineering design or laboratory investigation that an undergraduate is qualified to undertake. Prereq: Permission.

  • 447 Advanced Dynamics, 3 cr. Particle dynamics using Newton's laws, energy principles, momentum principles. Rigid body dynamics using Euler's equations and Lagrange's equations. Variable mass systems. Gyroscopic motion. Prereq: ENGM 373 and Math 820 or 821. Cross-listed with ENGM 847.

  • 448 Advanced Mechanics of Materials, 3 cr. Stresses and strains at a point. Theories of failure. Thick-walled pressure vessels and spinning discs. Torsion of noncircular sections. Torsion of thin-walled sections, open, closed, and multicelled. Bending of unsymmetrical sections. Cross shear and shear center. Curved beams. Introduction to elastic energy methods. Prereq: ENGM 325 or 375, 373. Cross-listed with ENGM 848.

  • 450 Introduction to Continuum Modeling, 3 cr. The basic concepts of continuum modeling. Development of models and solutions to various mechanical thermal and electrical systems. The thermo-mechanical and electro-mechanical coupling effects. Differential equations, dimensional methods and similarity. Prereq: MATH 821, ENGM 235, 373. Cross-listed with ENGM 850.

  • 451 Introduction to Finite Element Analysis, 3 cr. (also CIVE 851). Matrix methods of analysis. The finite element stiffness method. Computer programs. Applications to structures and soils. Introduction to finite element analysis of fluid flow. Prereq: ENGM 325 or 375 and 880 or permission. Cross-listed with ENGM 851.

  • 452 Experimental Stress Analysis I, 3 cr. Investigations of the basic theories and techniques associated with the analysis of stress using mechanical strain gages, electric strain gages, brittle lacquer, photoelasticity and membrane analogy. Lect 2 lab 2. Prereq: ENGM 325 or 375. Cross-listed with ENGM 852.

  • 475 Introduction to Vibrations and Acoustics, 3 cr. Linear response of one and two degree of freedom systems. Rotating imbalance, vibration isolation. Fundamentals of wave motion, vibrating strings and bars. The acoustic wave equation, acoustic impedances, sound propagation, traveling wave solutions, separation of variables. The Helmholtz resonator. Acoustic waves in pipes. Experiments in mechanical vibrations and acoustics. Prereq: ENGM 373, MATH 821 or permission of instructor.

  • 480 Numerical Methods in Engineering, 3 cr. Numerical algorithms and their convergence properties in: solving nonlinear equations; direct and iterative schemes for linear systems of equations; eigenvalue problems; polynomial and spline interpolations; curve fitting; numerical integration and differentiation; initial and boundary values problems for Ordinary Differential Equations (ODEs) and systems of ODEs with applications to engineering; finite difference methods for partial differential equations (potential problems, heat-equation, wave-equation). Cross-listed with ENGM 880. Prereq: MATH 221/821, Computer programming and permission. Linear algebra recommended. Credit toward the degree cannot be earned in both CSCE/MATH 340/840 and ENGM 480/880.

  • 488 Nonlinear Optimization, 3 cr. Methods for solving constrained and unconstrained nonlinear optimization problems. Practical numerical algorithms based on gradients or genetic algorithms for optimization will be emphasized. Calculus of variations will provide the basis for design optimization and optimal control. Cross-listed with ENGM 888 and as IMSE 488/888.

  • 491 Special Topics in Engineering Mechanics, 1-6 cr. Treatment of special topics in engineering mechanics by experimental, computational and/or theoretical methods. Topics will vary from semester to semester. See current schedule of classes for offerings. Prereq: Permission of instructor. Cross-listed with ENGM 891.

  • 499H Honors Thesis, 1-6 cr. Honors thesis research project meeting the requirements of the University Honors Program. Independent research project executed under the guidance of a member of the faculty of the Department of Engineering Mechanics that contributes to the advancement of knowledge in the field and culminates in the presentation of an honors thesis to the department and college. Prereq: Senior standing in engineering, admission to the University Honors Program. For more information, visit Honors Thesis in Engineering Mechanics.

Also, see the Graduate Courses offered by the Department of Engineering Mechanics.

Graduate Courses in Engineering Mechanics

The Department of Engineering Mechanics provides the following courses at the graduate level. 900 level classes are open only to graduate students.

  • 801 Analytical Methods in Engineering I, 3 cr. Basic topics in real analysis and linear algebra with examples of applications from diverse branches of engineering and applied physics.

  • 802 Analytical Methods in Engineering II, 3 cr. Continuation of ENGM 801 topics in complex analysis, linear algebra, ordinary and partial differential equations, and other areas of applied mathematics, with examples of applications from diverse branches of engineering and applied physics. Prereq: ENGM 801 or permission.

  • 843 Introduction to Piezoelectricity with Applications, 3 cr. Covers the basics of piezoelectricity and some of its applications. Topics may vary with the interest of the instructor and the students. Topics may include: phenomena of piezoelectricity, equations of linear piezoelectricity, some static problems, some dynamic problems, equations for piezoelectric beams and plates, piezoelectric devices, finite element numberical analysis of piezoelectric problems by ANSYS. Prereq: ENGM 325 and ENGM 373 or permission.

  • 847 Advanced Dynamics, 3 cr. Particle dynamics using Newton's laws, energy principles, momentum principles. Rigid body dynamics using Euler's equations and Lagrange's equations. Variable mass systems. Gyroscopic motion. Prereq: ENGM 373 and MATH 821. Cross-listed with ENGM 447.

  • 848 Advanced Mechanics of Materials, 3 cr. Stresses and strains at a point. Theories of failure. Thick-walled pressure vessels and spinning discs. Torsion of noncircular sections. Torsion of thin-walled sections, open, closed, and multicelled. Bending of unsymmetrical sections. Cross shear and shear center. Curved beams. Introduction to elastic energy methods. Prereq: ENGM 325 or 375. Cross-listed with ENGM 448.

  • 850 Introduction to Continuum Modeling, 3 cr. The basic concepts of continuum modeling. Development of models and solutions to various mechanical thermal and electrical systems. The thermo-mechanical and electro-mechanical coupling effects. Differential equations, dimensional methods and similarity. Prereq: MATH 821, ENGM 325, 373.

  • 851 Introduction to Finite Element Analysis, 3 cr (also CIVE 851). Matrix methods of analysis. The finite element stiffness method. Computer programs. Applications to structures and soils. Introduction to finite element analysis of fluid flow. Prereq: ENGM 325 and 880 or permission. Cross-listed with ENGM 451.

  • 852 Experimental Stress Analysis I, 3 cr. Investigations of the basic theories and techniques associated with the analysis of stress using mechanical strain gages, electric strain gages, brittle lacquer, photoelasticity and membrane analogy. Lect 2 lab 2. Prereq: ENGM 325. Cross-listed with ENGM 452.

  • 875 Vibration Theory and Applications, 3 cr. Variational principles, Lagrange's equation. Equations of motion for multi-degree of freedom systems. Free vibrations eigenvalue problem: modal analysis. Forced vibrations: general solutions, resonance, effect of damping, and superposition. Vibrations of continuous systems: vibrations frequencies and mode shapes for bars, membranes, beams, and plates. Experimental methods and techniques. Prereq: ENGM 373 and MATH 821.

  • 880 Numerical Methods in Engineering, 3 cr. Numerical algorithms and their convergence properties in: solving nonlinear equations; direct and iterative schemes for linear systems of equations; eigenvalue problems; polynomial and spline interpolations; curve fitting; numerical integration and differentiation; initial and boundary values problems for Ordinary Differential Equations (ODEs) and systems of ODEs with applications to engineering; finite difference methods for partial differential equations (potential problems, heat-equation, wave-equation). Cross-listed with ENGM 480. Prereq: MATH 221/821, Computer programming and permission. Linear algebra recommended. Credit toward the degree cannot be earned in both CSCE/MATH 340/840 and ENGM 480/880.

  • 888 Nonlinear Optimization, 3 cr. Methods for solving constrained and unconstrained nonlinear optimization problems. Practical numerical algorithms based on gradients or genetic algorithms for optimization will be emphasized. Calculus of variations will provide the basis for design optimization and optimal control. Cross-listed with ENGM 488 and as IMSE 488/888.

  • 891 Special Topics in Engineering Mechanics, 1-6 cr. Treatment of special topics in engineering mechanics by experimental, computational and/or theoretical methods. Topics will vary from semester to semester. See current schedule of classes for offerings. Prereq: Permission of instructor. Cross-listed with ENGM 491.

  • 899 Masters Thesis, 6-10 cr.

  • 910 Continuum Mechanics, 3 cr. The continuum. Geometrical foundations of continuum mechanics. Rectilinear and curvilinear coordinates. Elements of tensor analysis. Analysis of stress. Analysis of strain. Equations of motion. Constitutive equations. Fundamental laws. Applications to deformable systems. Prereq: ENGM 848, and permission of instructor.

  • 915 Stress Waves in Solids, 3 cr. Waves in rods, beams, strings, and membranes. Sound waves in air. Dilatational and distortional waves. Reflection and refraction of waves. Rayleigh surface waves. Love waves. Applications of transform theory and the method of stationary phase to wave analysis. Waves in anisotropic and viscoelastic media. Lect 3. Prereq: ENGM 847, 848, or permission of instructor.

  • 916 Theory of Plates and Shells I, 3 cr. Basic equations for the bending and stretching of thin plates with small deformations. General theory of deformation of thin shells with small deflections. Large deformation theories of plates and shells. Effect of edge conditions. Prereq: ENGM 848 and MATH 821.

  • 917 Theory of Plates and Shells II, 3 cr. Continuation of ENGM 916 topics. Large deflection shell theory. Critical examination of effects of boundary conditions. Additional topics selected from folded plates, orthotropic plates and shells, sandwich plates and shells, use of complex transformations, etc. Lect 3. Prereq: ENGM 916.

  • 918 Fundamentals of Finite Elements, 3 cr. Derivation and implementation of the finite element method. Introduction to the theory of finite element methods for elliptic boundary-value problems. Applications to time-independent physical phenomena (e.g., deformation of elastic bodies,heat conduction, steady-state fluid flow, electrostatics, flow through porous media). Basic coding techniques. A basic understanding of ordinary differential equations and matrix algebra as well as some programming skills are assumed. Lect 3. Prereq: ENGM 848, 880, 851 or CIVE 851, or permission of instructor.

  • 919 Nonlinear Mechanics, 3 cr. Study of physical systems in solid mechanics which lead to nonlinear differential equations. Graphical, numerical, and exact solutions of the governing differential equations. Physical interpretation of the solution. Lect 3. Prereq: ENGM 847, 848, or permission.

  • 920 Theory of Elastic Stability, 3 cr. Lateral buckling of beams; failure of columns; bending and buckling of thin plates and shells. Consideration of classical and modern theories. Prereq: ENGM 325 or 375, and MATH 821.

  • 922 Theory of Elasticity I, 3 cr. Plane stress and strain. Solution of two-dimensional problems by polynomials. Two-dimensional problems in polar coordinates. Triaxial stress and strain. Torsion of noncircular cross section. Bending of prismatical bars. Hydrodynamical analogies. Prereq: ENGM 848 and MATH 821.

  • 923 Theory of Elasticity II, 3 cr. ENGM 922 continued. Foundation of the theory of large deformation. Equations of linear elasticity. Complex representation of the general solution of the equations of plane theory of elasticity. Conformal mapping. Solutions of problems in three-dimensional elasticity in terms of potential functions. Axially symmetric problems. Variational methods. Prereq: ENGM 922.

  • 925 Viscoelasticity, 3 cr. An introduction to linear and nonlinear viscoelastic material behavior. One dimensional response. Linearity of material response. Quasi-static and dynamic problems. Time-temperature superposition. Viscoelastic beams. Multidimensional response. Nonlinear response. Lect 3. Prereq: ENGM 848 or 910, and MATH 821 or 822; or permission of instructor.

  • 930 Mechanics of Composite Materials, 3 cr. Introduction to composite materials. Properties of an anisotropic lamina. Laminated composites. Failure theories. Analysis of composite structures. Lect 3. Prereq: ENGM 848 or permission of instructor.

  • 940 Fracture Mechanics, 3 cr. Modes of failure. Elastic stress field near cracks. Theories of brittle fracture. Elastic fracture mechanics. Elastic-plastic analysis of crack extension. Fracture toughness testing. Prereq: ENGM 848 or permission.

  • 941 Mechanics of Dislocations and Cracks, 3 cr. Mathematical theory of straight dislocations in isotropic and anisotropic elastic media. Dislocations on and near an interface. Dislocation interactions. Discrete and continuously distributed dislocations. Applications to mechanics of materials: grain boundaries and dislocation pile-ups. Applications to fracture mechanics: Griffith-Inglish crack, Zener-Stroh-Koehler crack, Bilby-Cottrell-Swinden-Dugdale crack. Prereq: ENGM 848 or permission.

  • 942 Theory of Plasticity, 3 cr. Basic concepts of plasticity. Yield conditions and yield surfaces. Torsion of cylindrical bars and Saint Venant-Mises and Prandtl-Reuss theories. General theory of plane strain and shear lines. Steady and pseudo-steady plastic flow. Extremum principles. Engineering applications. Prereq: ENGM 922.

  • 951 Advanced Topics in Finite Element Methods, 3 cr. Contemporary topics in the theory and application of finite element methods. Topics may vary with interest of instructor and may include: finite elements for the analysis of fracture; mixed variational formulations; hybrid stress elements; plasticity; non-linear elasticity; large deformations of structures; plate and shell elements; transverse shear effects in beams, plates and shells; "locking" phenomena; treatment of singularities; dynamics of large systems; "enhanced" strain methods; methods for solving non-linear algebraic systems; architecture of computer codes for non-linear finite element analysis; and treatment of constraints arising in nearly incompressible material models. Prereq: ENGM 851 or 918, or permission.

  • 952 Experimental Stress Analysis II, 3 cr. Surface strains and their measurement, principally by bonded wire resistance strain gages. Static and dynamic measurements using both oscilloscope and direct writing oscillograph, associated electrical circuits. Use of brittle coating in conjunction with strain gages. Evaluation of stresses from strain data. Lect 2 lab 3. Prereq: ENGM 848 and 852.

  • 975 Advanced Vibrations, 3 cr. Variational mechanics, Hamilton's principle, and energy formulations for linearly elastic bodies. Eigenvalue and boundary value problems. non-self adjoint systems. Approximate methods: Ritz and Galerkin. Gyroscopic systems. nonconservative systems. Perturbation theory for the eigenvalue problem. Dynamics of constrained systems. Prereq: ENGM 875.

  • 991 Advanced Investigations in Engineering Mechanics, 1-12 cr. Treatment of advanced topics in engineering mechanics by experimental, computational, and/or theoretical methods. Topics will vary from semester to semester. See current schedule of classes for offerings. Prereq: Permission of instructor.

  • 996 Seminar in Engineering Mechanics, 1 cr. per semester, maximum of 4. Presentation and discussion of topics in the various branches of engineering mechanics. (Previously ENGM 978). Prereq: Permission of instructor.

  • 999 Doctoral Dissertation, 1-24 cr.