Introduces continuum mechanics and mechanics of deformable solids. Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids. (Prerequisite: Instructor permission)
CE 604 - PLATES AND SHELLS
CE 616 - ADVANCED FOUNDATIONS
CE 620 - ENERGY PRINCIPLES IN MECHANICS
CE 623 - VIBRATIONS
CE 671 - INTRODUCTION TO FINITE ELEMENT METHODS
CE 672 - NUMERICAL METHODS IN STRUCTURAL MECHANCS
CE 675 - THEORY OF STRUCTURAL STABILITY
CE 677 - RISK AND RELIABILITY IN STRUCTURAL ENGINEERING
CE 681 - ADVANCED DESIGN OF METAL STRUCTURES
CE 683 - PRESTRESSED CONCRETE DESIGN
CE 684 - ADVANCED REINFORCED CONCRETE DESIGN
CE 691 - SPECIAL TOPICS: BEHAVIOR AND LRFD OF STEEL STRUCTURES
CE 691 - SPECIAL TOPICS: COMPUTATIONAL PROCEDURES IN STRUCTURAL
MECHANICS
CE 773 - ADVANCED FINITE ELEMENT APPLICATIONS IN STRUCTURAL
ENGINEERING
CE 780 - OPTIMUM STRUCTURAL DESIGN
Updated: February 20, 2003
Includes the classical analysis of plates and shells of various shapes;
closed-form numerical and approximate methods of solution of governing
partial differential equations; and advanced topics (large deflection theory,
thermal stresses, orthotropic plates). (Prerequisite: Engineering
Mathematics and Advanced Mechanics)
Topics include subsurface investigation, control of groundwater,
analysis of sheeting and bracing systems, shallow foundations, pile
foundations, retaining walls, bridge abutments, caissons and
cofferdams. (Prerequisite: Undergraduate geotechnical engineering and
concrete structures)
Derivation, interpretation,and application to engineering problems
of the principles of virtual work and complementary virtual work.
Related theorems such as the principles of the stationary total potential
complementary energy, Castigliano's theorems, theorem of least work,
and unit force and displacement theorems. Introduction to generalized,
extended, mixed, and hybrid principles. Variational methods of approximation,
Hamilton's principle, and Lagrange's equations of motion. Approximate
solutions to problems in structural mechanics by use of variational theorems.
(Prerequisite: Instructor permission)
Topics inlcude free and forced vibration of undamped and damped
single-degree-of-freedom systems and undamped
multi-degree-of-freedom systems; use of Lagrange's equations,
Laplace transform, matrix formulation, and other solution
methods; normal mode theory, introduction to vibration of
continuous systems. (Prerequisite: Instructor permission)
Focuses on the fundamentals and basic concepts of the finite element
method; modeling and discretization; application to
one-dimensional problems; direct stiffness method; element
characteristics; interpolation functions; extension to plane
stress problems. (Prerequisite: Undergraduate finite elements or equivalent)
Focuses on solutions to the static, dynamic, and buckling
behavior of determinate and indeterminate structures by numerical
procedures, including finite difference and numerical integration
techniques. (Prerequisite: Undergraduate finite elements)
Introduces the elastic stability of structural and
mechanical systems. Studies classical stability theory and buckling of
beams, trusses, frames, arches, rings, and thin plates and shells
are studied. Also covers the derivation of design formulas,
computational formulation and implementation. (Prerequisite: Instructor
permission)
Studies the fundamental concepts of structural reliability;
definitions of performance and safety, uncertainty in loadings, materials and
modeling. Analysis of loadings and resistance. Evaluation of existing
design codes. Development of member design criteria, including stability,
fatigue and fracture criteria; and the reliability of structural systems.
(Prerequisite: Background in probability and statistics)
Analyzes the behavior and design of structual elements and systems,
including continuous beams, plate girders, composite steel-concrete
members, members in combined bending and compression. Structural
frames, framing systems, eccentric connections, and torsion and
torsional stability are also studied. (Prerequisite: Undergraduate
design of metal structures or equivalent)
Analyzes prestressing materials and concepts, working stress analysis
and design for flexure, strength analysis and design for flexure, prestress
losses, design for shear, composite prestressed beams, continuous prestressed
beams, prestressed concrete systems concepts, load balancing, slab design.
(Prerequisite: Undergraduate design of concrete structures or equivalent)
Study of advanced topics in reinforced concrete design, including
design of slender columns, deflections, torsion in reinforced
concrete, design of continuous frames and two-way floor systems.
Introduction to design of tall structures in reinforced concrete, and
design of shear walls. (Prerequisite: Undergraduate design of concrete
structures)
Concepts and probabilistic background of LRFD. Elastic and inelastic
buckling of columns, residual stresses, beam column theory; LRFD provisions
for column buckling. Critical analysis of effective length provisions.
Elastic and inelastic buckling of plates, and evaluation of limiting
b/t ratios. Postbuckling stiffness and effective width of stiffened
plate elements. Unrestrained and warping torsion of thin walled beams.
Torsional buckling of columns. Limit states for beam failure: plastic,
elastic, and inelastic lateral torsional buckling provisions. LRFD
provisions for torsional and lateral torsional instabilities.
(Prerequisite: Instructor permission)
Brief review of governing equations in structural mechanics and
the associated computational problems. Overview of available commercial
finite element software tools and their capabilities. Discuss basic
numerical methods including numerical integration, numerical
differentiation, solving systems of linear and nonlinear algebraic
equations, and eigensolvers. Develop computational procedures using
these methods to solve linear and nonlinear quasi-static problems,
linear eigenvalue problems (buckling and vibration), and linear
and nonlinear transient dynamics problems. (Prerequisites: Numerical
methods, finite element basics, energy methods)
Development and application of two- and three-dimensional
finite elements; plate bending; isoparametric formulation; solid
elements; nonlinear element formulation with application to
material and geometric non-linearities; stability problems;
formulation and solution of problems in structural dynamics; use
of commercial computer codes. (Prerequisite: Finite Element Methods)
Introduces basic concepts, numerical methods and
applications of optimum design to civil engineering structures;
formulation of the optimum design problems; development of analysis
techniques including linear and nonlinear programming and optimality
criteria; examples illustrating application to steel and concrete
structures. (Prerequisite: Instructor permission)
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