Titlebook: Elementary Continuum Mechanics for Everyone; With Applications to Esben Byskov Book 2013 Springer Science+Business Media Dordrecht 2013 Con

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Infinitesimal TheoryProbably some 99 % of all structural analyses are based on the assumption of kinematic linearity. Therefore, we shall study this special case in muchdetail, but caution that you must understand the limitations of the linear theories in order to use them judiciously.

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Constitutive RelationsThis chapter is mainly concerned with constitutive relations for the infinitesimal theory, i.e. the mathematically linear theory. However, most of the formulas may be made valid for kinematically nonlinear cases provided sufficient care is taken in the selection of strain and stress measures.

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Plane, Straight BeamsIn this chapter we derive the kinematic and static equations for plane, straight beams. The reason why we do not treat beams in three-dimensional space is that this is not a book on beam theory—but rather a book on continuum mechanics which also shows how to derive theories for specialized continua such as beams and plates.

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Bending and Axial Deformation of Linear Elastic Beam Cross-SectionsIn . and ., which are concerned with plane, straight linearly elastic beams, the first with Bernoulli-Euler and the second with Timoshenko beams, respectively.

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