Wendelin H. Mueller III, P.E., Ph.D.
Portland State University
Civil Engineering
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CE527 Finite Elements in Structural Mechanics
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Catalog Data: CE
527/627 Finite Elements in Structural Mechanics (4)
Principles of stiffness analysis of
structures, essentials of the finite elements formulation of elastic problems
with applications to structural mechanics, plates and shells, and other related
problems utilizing digital computers.
Textbook: Chondrupatla,
T.R. and Belegundu, A.D., Introduction to Finite Elements in Engineering,
2 nd. ed. Prentice Hall, Englewood Cliffs, N.J., 1997.
Reference: Cook,
C.D., Malkus, D.S. and Plesha, M.E., Concepts and Applications of Finite
Element Analysis, John Wiley & Sons, 1989.
Goals: To
teach the art of applying the fundamentals of the Finite Element Method in the
analysis of complex structures, using “hands on” analysis and laboratory tests
or field failure to authenticate the results.
To convey the validity of using the appropriate element in the analysis,
be it plane stress/strain, plates, shells or solids.
Prerequisites by Topic:
1.
Matrix
Algebra
2.
Matrix
analysis of wire structures
Topics (2 hour classes):
1.
Introduction
to finite element analysis (FEA) with emphasis on the caveat of using FEA (1
class)
2.
Discrete
system (1 class)
3.
Elasticity: equilibrium, strain‑displacement,
stress‑strain, compatibility equations (1 classes)
4.
Energy
theorems applied of element formulation (2 classes)
5.
Structural
idealization (1 class)
6.
Stiffness
properties: plane stress/strain,
plates, shells, solids, axi‑symmetric (3 classes)
7.
Improved
elements (1 class)
8.
Gauss
quadrature (1 class)
9.
Isoparametric
formulation (2 classes)
10.
Student Presentations
(2 classes)
11.
Model
Generation, including Verification and Validation with instructor (5 classes)
Computer Usage:
Term
project analyzing a complex structure using FEA, compare with results of
laboratory tests or existing failure.
Laboratory Project:
Analysis and laboratory test of complex structure or failure analysis