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Axial Loading of Rods

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Elasto-Plasticity of Frame Structure Elements
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Abstract

This chapter covers the analytical description of rod or bar members. Based on the three basic equations of continuum mechanics, i.e. the kinematics relationship, the constitutive law and the equilibrium equation, the partial differential equation which describes the problem is derived. Analytical solutions in the pure elastic and elasto-plastic range for different loading and boundary conditions are derived and discussed.

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Notes

  1. 1.

    Brook Taylor (1685–1731), English mathematician.

  2. 2.

    The standard gravity or standard acceleration due to free fall is equal to 9.80665 \(\tfrac{\text {m}}{\text {s}^2}\).

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Correspondence to Andreas Öchsner .

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© 2014 Springer-Verlag Berlin Heidelberg

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Öchsner, A. (2014). Axial Loading of Rods. In: Elasto-Plasticity of Frame Structure Elements. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44225-8_3

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  • DOI: https://doi.org/10.1007/978-3-662-44225-8_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44224-1

  • Online ISBN: 978-3-662-44225-8

  • eBook Packages: EngineeringEngineering (R0)

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