Series ISSN: 1939-5221
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LYING BY APPROXIMATION
The Truth about Finite Element Analysis
Vincent C. Prantil
Christopher Papadopoulos
Paul D. Gessler
S Y N T H E S I S L E C T U R E S O N E N G I N E E R I N G
Stephen F. Barrett, SERIES EDITOR
SERIES EDITOR: Stephen F. Barrett,
University of Wyoming
LYING BY APPROXIMATION
The Truth about Finite Element Analysis
Vincent C. Prantil,
Milwaukee School of Engineering
Christopher Papadopoulos,
University of Puerto Rico, Mayag Ÿez
Paul D. Gessler,
Graduate Student, Marquette University
In teaching an introduction to the finite element method at the
undergraduate level, a prudent mix of theory and applications
is often sought. In many cases, analysts use the finite elementmethod to perform parametric
studies on potential designs to size parts, weed out less desirabledesign scenarios, and predict
system behavior under load. In this book, we discuss common pitfalls encountered by many finite
element analysts, in particular, students encountering the method for the first time. We present a
variety of simple problems in axial, bending, torsion, and shearloading that combine the students’
knowledge of theoretical mechanics, numerical methods, and approximations particular to the
finite element method itself. We also present case studies inwhich analyses are coupled with
experiments to emphasize validation, illustrate where interpretations of numerical results can
be misleading, and what can be done to allay such tendencies. Challenges in presenting the
necessary mix of theory and applications in a typical undergraduate course are discussed. We also
discuss a list of tips and rules of thumb for applying the method in practice.