Torsion of closed section, orthotropic, thin-walled beams

Anikó Pluzsik, L. Kollar

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The paper presents a theory for thin-walled, closed section, orthotropic beams which takes into account the shear deformation in restrained warping induced torque. In the derivation we developed the analytical ("exact") solution of simply supported beams subjected to a sinusoidal load. The replacement stiffnesses which are independent of the length of the beam were determined from the exact solution by taking its Taylor series expansion with respect to the inverse of the length of the beam. The effect of restrained warping and shear deformation was investigated through numerical examples.

Original languageEnglish
Pages (from-to)5307-5336
Number of pages30
JournalInternational Journal of Solids and Structures
Volume43
Issue number17
DOIs
Publication statusPublished - Aug 2006

Fingerprint

Thin-walled Beam
Torsional stress
Shear deformation
torsion
Torsion
Closed
Taylor series
Warping
Shear Deformation
Loads (forces)
Torque
Exact Solution
Stiffness
shear
Taylor Series Expansion
series expansion
Replacement
torque
stiffness
derivation

Keywords

  • Beam theory
  • Closed section
  • Composite
  • Restrained warping
  • Torsion

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Torsion of closed section, orthotropic, thin-walled beams. / Pluzsik, Anikó; Kollar, L.

In: International Journal of Solids and Structures, Vol. 43, No. 17, 08.2006, p. 5307-5336.

Research output: Contribution to journalArticle

@article{4dceeaf94cba41a79219a343a7dc492d,
title = "Torsion of closed section, orthotropic, thin-walled beams",
abstract = "The paper presents a theory for thin-walled, closed section, orthotropic beams which takes into account the shear deformation in restrained warping induced torque. In the derivation we developed the analytical ({"}exact{"}) solution of simply supported beams subjected to a sinusoidal load. The replacement stiffnesses which are independent of the length of the beam were determined from the exact solution by taking its Taylor series expansion with respect to the inverse of the length of the beam. The effect of restrained warping and shear deformation was investigated through numerical examples.",
keywords = "Beam theory, Closed section, Composite, Restrained warping, Torsion",
author = "Anik{\'o} Pluzsik and L. Kollar",
year = "2006",
month = "8",
doi = "10.1016/j.ijsolstr.2005.08.001",
language = "English",
volume = "43",
pages = "5307--5336",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",
number = "17",

}

TY - JOUR

T1 - Torsion of closed section, orthotropic, thin-walled beams

AU - Pluzsik, Anikó

AU - Kollar, L.

PY - 2006/8

Y1 - 2006/8

N2 - The paper presents a theory for thin-walled, closed section, orthotropic beams which takes into account the shear deformation in restrained warping induced torque. In the derivation we developed the analytical ("exact") solution of simply supported beams subjected to a sinusoidal load. The replacement stiffnesses which are independent of the length of the beam were determined from the exact solution by taking its Taylor series expansion with respect to the inverse of the length of the beam. The effect of restrained warping and shear deformation was investigated through numerical examples.

AB - The paper presents a theory for thin-walled, closed section, orthotropic beams which takes into account the shear deformation in restrained warping induced torque. In the derivation we developed the analytical ("exact") solution of simply supported beams subjected to a sinusoidal load. The replacement stiffnesses which are independent of the length of the beam were determined from the exact solution by taking its Taylor series expansion with respect to the inverse of the length of the beam. The effect of restrained warping and shear deformation was investigated through numerical examples.

KW - Beam theory

KW - Closed section

KW - Composite

KW - Restrained warping

KW - Torsion

UR - http://www.scopus.com/inward/record.url?scp=33745938933&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33745938933&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2005.08.001

DO - 10.1016/j.ijsolstr.2005.08.001

M3 - Article

AN - SCOPUS:33745938933

VL - 43

SP - 5307

EP - 5336

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 17

ER -