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Finite Deformation of Slender Beams

✍ Scribed by H. Reismann

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
160 KB
Volume
81
Category
Article
ISSN
0044-2267

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✦ Synopsis

Finite Deformation of Slender Beams

The present investigation considers the problem of finite deformation of slender, elastic beams with constant cross-section. The pertinent non-linear equations characterizing the deformation of the beam are derived using a variational principle which also yields the associated natural and imposed boundary conditions. The mathematical model of the beam accounts for the (coupled) flexure, torsion, and extension (contraction) of the beam but it neglects deformations due to shear. Two example problems are presented, each considering the deformation of a cantilever beam subjected to oblique (unsymmetrical) loading. Example 1 treats the case of an end loaded beam, whereas Example 2 treats the same beam subjected to a uniformly distributed load. In both examples results are compared to the equivalent cases treated within the framework of (conventional) linear theory.

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