The exact relationships between the deflections, slopes/rotations, shear forces and bending moments of a third-order beam theory, and those of the Euler-Bernoulli theory and the Timoshenko beam theory are developed. The relationships enable one to obtain the solutions of the third-order beam theory
โฆ LIBER โฆ
Canonical relationships between bending solutions of classical and shear deformation beam and plate theories
โ Scribed by J. N. Reddy
- Book ID
- 107652147
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 447 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1867-6936
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๐ 2 views
In this paper a uniยฎed ยฎnite element model that contains the EulerยฑBernoulli, Timoshenko and simpliยฎed Reddy third-order beam theories as special cases is presented. The element has only four degrees of freedom, namely deยฏection and rotation at each of its two nodes. Depending on the choice of the e
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