The refined theory of beams, which takes into account both rotary
inertia and shear deformation, was developed jointly by Timoshenko
and Ehrenfest in the years 1911-1912. In over a century since the
theory was first articulated, tens of thousands of studies have
been performed utilizing this theory in various contexts. Likewise,
the generalization of the Timoshenko-Ehrenfest beam theory to
plates was given by Uflyand and Mindlin in the years 1948-1951.The
importance of these theories stems from the fact that beams and
plates are indispensable, and are often occurring elements of every
civil, mechanical, ocean, and aerospace structure.Despite a long
history and many papers, there is not a single book that summarizes
these two celebrated theories. This book is dedicated to closing
the existing gap within the literature. It also deals extensively
with several controversial topics, namely those of priority, the
so-called 'second spectrum' shear coefficient, and other issues,
and shows vividly that the above beam and plate theories are
unnecessarily overcomplicated.In the spirit of Einstein's dictum,
'Everything should be made as simple as possible but not simpler,'
this book works to clarify both the Timoshenko-Ehrenfest beam and
Uflyand-Mindlin plate theories, and seeks to articulate everything
in the simplest possible language, including their numerous
applications.This book is addressed to graduate students,
practicing engineers, researchers in their early career, and active
scientists who may want to have a different look at the above
theories, as well as readers at all levels of their academic or
scientific career who want to know the history of the subject. The
Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are
the key reference works in the study of stocky beams and thick
plates that should be given their due and remain important for
generations to come, since classical Bernoulli-Euler beam and
Kirchhoff-Love theories are applicable for slender beams and thin
plates, respectively.Related Link(s)
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