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Shear Deformation of Linear Elastic Beam Cross-Sections

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Book cover Elementary Continuum Mechanics for Everyone

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 194))

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Abstract

In Chap. 11 on bending and axial deformation of "beams with crosssections" we based the derivations on the concept of beams built of "fibers" which may elongate or shorten. This idea is in the spirit of Bernoulli-Euler beam theory, whose generalized strains are the axial strain and the curvature strain, see Sects. 7.5, 7.3 and 7.2 and therefore these beams only have two generalized stresses, namely the axial force N and the bending moment M which are the work conjugate, respectively.

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Correspondence to Esben Byskov .

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© 2013 Springer Science+Business Media Dordrecht

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Byskov, E. (2013). Shear Deformation of Linear Elastic Beam Cross-Sections. In: Elementary Continuum Mechanics for Everyone. Solid Mechanics and Its Applications, vol 194. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5766-0_12

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  • DOI: https://doi.org/10.1007/978-94-007-5766-0_12

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  • Publisher Name: Springer, Dordrecht

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