Explicitly reintroducing the idea of modeling to the analysis of
structures, Analytical Estimates of Structural Behavior presents an
integrated approach to modeling and estimating the behavior of
structures. With the increasing reliance on computer-based
approaches in structural analysis, it is becoming even more
important for structural engineers to recognize that they are
dealing with models of structures, not with the actual structures.
As tempting as it is to run innumerable simulations, closed-form
estimates can be effectively used to guide and check numerical
results, and to confirm physical insights and intuitions.
Spend Less Time Generating Numbers, and More Time Understanding
What They Mean
This book encourages readers to think about structures and their
models in a way that is rooted in classic elementary
elasticity-depending less on advanced mathematical techniques and
more on the dimensions and magnitudes of the underlying physics.
The authors stretch the mold, emphasizing and more explicitly
describing the modeling process. The focus is on learning which
calculations to perform and how to validate and interpret the
results-skills that will be increasingly useful for professional
engineers.
Chapters cover:
- Key principles and techniques of mathematical modeling,
including dimensional analysis, scaling, linearity, and balance and
conservation laws
- Basic structural models
- How to develop and express physical intuition
- How to track the behavior of arches under lateral load
- Two methods of analyzing coupled discrete systems-Castigliano's
theorems and Rayleigh's quotient-to lay a foundation for their
application to continuous systems
- How to derive simple, accurate estimates of the transverse
displacements of structures modeled in terms of coupled Timoshenko
beams
- How to analyze the dimensional behavior and calculate numerical
values of fundamental frequencies of structures modeled in terms of
Euler-Bernoulli, Timoshenko, and coupled-beam systems
Taking a unique approach, Analytical Estimates of Structural
Behavior is suitable for advanced undergraduates, as well as
graduate students and practitioners, who want to spend less time
and effort generating numbers, and more time understanding what
those numbers mean.
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