Stresses in constant tapered beams with thin-walled rectangular and circular cross sections

P. Bertolini*, M. A. Eder, L. Taglialegne, P. S. Valvo

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Tapered beams are widely employed in efficient flexure dominated structures. In this paper, analytical expressions are derived for the six Cauchy stress components in untwisted, straight, thin-walled beams with rectangular and circular cross sections characterised by constant taper and subjected to three cross-section forces. These expressions pertain to homogeneous, isotropic, linear elastic materials and small strains. In fact, taper not only alters stress magnitudes and distributions but also evokes stress components, which are zero in prismatic beams. A parametric study shows that increasing taper decreases the von Mises stress based fatigue life, suggesting that step-wise prismatic approximations entail non-conservative designs.

Original languageEnglish
JournalThin-Walled Structures
Volume137
Pages (from-to)527-540
Number of pages14
ISSN0263-8231
DOIs
Publication statusPublished - 2019

Keywords

  • Analytical solution
  • Box girder
  • Conical beam
  • Tapered beams
  • Thin-walled hollow sections

Cite this

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title = "Stresses in constant tapered beams with thin-walled rectangular and circular cross sections",
abstract = "Tapered beams are widely employed in efficient flexure dominated structures. In this paper, analytical expressions are derived for the six Cauchy stress components in untwisted, straight, thin-walled beams with rectangular and circular cross sections characterised by constant taper and subjected to three cross-section forces. These expressions pertain to homogeneous, isotropic, linear elastic materials and small strains. In fact, taper not only alters stress magnitudes and distributions but also evokes stress components, which are zero in prismatic beams. A parametric study shows that increasing taper decreases the von Mises stress based fatigue life, suggesting that step-wise prismatic approximations entail non-conservative designs.",
keywords = "Analytical solution, Box girder, Conical beam, Tapered beams, Thin-walled hollow sections",
author = "P. Bertolini and Eder, {M. A.} and L. Taglialegne and Valvo, {P. S.}",
year = "2019",
doi = "10.1016/j.tws.2019.01.008",
language = "English",
volume = "137",
pages = "527--540",
journal = "Thin-Walled Structures",
issn = "0263-8231",
publisher = "Pergamon Press",

}

Stresses in constant tapered beams with thin-walled rectangular and circular cross sections. / Bertolini, P.; Eder, M. A.; Taglialegne, L.; Valvo, P. S.

In: Thin-Walled Structures, Vol. 137, 2019, p. 527-540.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Stresses in constant tapered beams with thin-walled rectangular and circular cross sections

AU - Bertolini, P.

AU - Eder, M. A.

AU - Taglialegne, L.

AU - Valvo, P. S.

PY - 2019

Y1 - 2019

N2 - Tapered beams are widely employed in efficient flexure dominated structures. In this paper, analytical expressions are derived for the six Cauchy stress components in untwisted, straight, thin-walled beams with rectangular and circular cross sections characterised by constant taper and subjected to three cross-section forces. These expressions pertain to homogeneous, isotropic, linear elastic materials and small strains. In fact, taper not only alters stress magnitudes and distributions but also evokes stress components, which are zero in prismatic beams. A parametric study shows that increasing taper decreases the von Mises stress based fatigue life, suggesting that step-wise prismatic approximations entail non-conservative designs.

AB - Tapered beams are widely employed in efficient flexure dominated structures. In this paper, analytical expressions are derived for the six Cauchy stress components in untwisted, straight, thin-walled beams with rectangular and circular cross sections characterised by constant taper and subjected to three cross-section forces. These expressions pertain to homogeneous, isotropic, linear elastic materials and small strains. In fact, taper not only alters stress magnitudes and distributions but also evokes stress components, which are zero in prismatic beams. A parametric study shows that increasing taper decreases the von Mises stress based fatigue life, suggesting that step-wise prismatic approximations entail non-conservative designs.

KW - Analytical solution

KW - Box girder

KW - Conical beam

KW - Tapered beams

KW - Thin-walled hollow sections

U2 - 10.1016/j.tws.2019.01.008

DO - 10.1016/j.tws.2019.01.008

M3 - Journal article

VL - 137

SP - 527

EP - 540

JO - Thin-Walled Structures

JF - Thin-Walled Structures

SN - 0263-8231

ER -