<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Comparing Euler-Bernoulli or Tismoshenko beam theory to higher order beam theories, an essential difference can be depicted: the additional degrees of freedom accounting for out-of plane (warping) and in-plane (distortional) phenomena leading to the appearance of respective higher order geometric constants. In this paper, after briefly overviewing literature of the major beam theories taking account warping and distortional deformation, the influence of distortion in the response of beams evaluated by higher order beam theories is examined via a numerical example of buckling drawn from the literature.</p></abstract>

Comparing Euler-Bernoulli or Tismoshenko beam theory to higher order beam theories, an essential difference can be depicted: the additional degrees of freedom accounting for out-of plane (warping) and in-plane (distortional) phenomena leading to the appearance of respective higher order geometric constants. In this paper, after briefly overviewing literature of the major beam theories taking account warping and distortional deformation, the influence of distortion in the response of beams evaluated by higher order beam theories is examined via a numerical example of buckling drawn from the literature.

Influence of in-Plane Deformation in Higher Order Beam Theories

Strojnícky časopis - Journal of Mechanical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Influence of in-Plane Deformation in Higher Order Beam Theories"}

Comparing Euler-Bernoulli or Tismoshenko beam theory to higher order beam theories, an essential difference can be depicted: the additional degrees of freedom...

Influence of in-Plane Deformation in Higher Order Beam Theories

Published Online: Dec 06, 2018

Page range: 77 - 94

DOI: https://doi.org/10.2478/scjme-2018-0028

Keywords
Beam theories, Distortion, In-plane deformation, Warping, Out-of-plane deformation, Buckling

© 2018 Evangelos Sapountzakis, Amalia Argyridi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Influence of in-Plane Deformation in Higher Order Beam Theories

Published Online: Dec 06, 2018

Page range: 77 - 94

DOI: https://doi.org/10.2478/scjme-2018-0028

KeywordsBeam theories, Distortion, In-plane deformation, Warping, Out-of-plane deformation, Buckling

© 2018 Evangelos Sapountzakis, Amalia Argyridi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Beam theories, Distortion, In-plane deformation, Warping, Out-of-plane deformation, Buckling