ANALYSIS AND DESIGN OF ELASTIC BEAMS

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ANALYSIS AND DESIGN
OF ELASTIC BEAMS


This book treats the analysis and design of beams, with a particular emphasis on computational

approaches for thin-walled beams. The underlying formulations are based 
on the assumption of linear elasticity. Extension, bending, and torsion are discussed. 

Beams with arbitrary cross sections, loading, and boundary conditions are covered,

as well as the determination of displacements, natural frequencies, buckling loads,
and the normal and shear stresses due to bending, torsion, direct shear, and restrained
warping. TheWiley website (http://www.wiley.com/go/pilkey) provides information
on the availability of computer programs that perform the calculations for the formulations
of this book.

Most of this book deals with computational methods for finding beam crosssectional
properties and stresses. The computational solutions apply to solid and
thin-walled open and closed sections. Some traditional analytical formulas for thinwalled
beams are developed here. A systematic and thorough treatment of analytical
thin-walled beam theory for both open and closed sections is on the author’s website.
The technology essential for the study of a structural system that is modeled
by beam elements is provided here. The cross-sectional properties of the individual
beams can be computed using the methodology provided in this book. Then, a
general-purpose analysis computer program can be applied to the entire structure to
compute the forces and moments in the individual members. Finally, the methodology
developed here can be used to find the normal and shear stresses on the members’
cross sections.


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