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
On the relationship of the shear deformable Generalized Beam Theory with classical and non-classical theories
โ Scribed by de Miranda, Stefano; Madeo, Antonio; Miletta, Rosario; Ubertini, Francesco
- Book ID
- 127181727
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 794 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0020-7683
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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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