Twist-to-Bend Ratios and Safety Factors of Petioles Having Various Geometries, Sizes and Shapes

From a mechanical viewpoint, petioles of foliage leaves are subject to contradictory mechanical requirements. High flexural rigidity guarantees support of the lamina and low torsional rigidity ensures streamlining of the leaves in wind. This mechanical trade-off between flexural and torsional rigidi...

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Autores principales: Max Langer, Mark C. Kelbel, Thomas Speck, Claas Müller, Olga Speck
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Publicado: Frontiers Media S.A. 2021
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spelling oai:doaj.org-article:a58c83c594a4496aa49b68142b58486e2021-11-11T10:26:21ZTwist-to-Bend Ratios and Safety Factors of Petioles Having Various Geometries, Sizes and Shapes1664-462X10.3389/fpls.2021.765605https://doaj.org/article/a58c83c594a4496aa49b68142b58486e2021-11-01T00:00:00Zhttps://www.frontiersin.org/articles/10.3389/fpls.2021.765605/fullhttps://doaj.org/toc/1664-462XFrom a mechanical viewpoint, petioles of foliage leaves are subject to contradictory mechanical requirements. High flexural rigidity guarantees support of the lamina and low torsional rigidity ensures streamlining of the leaves in wind. This mechanical trade-off between flexural and torsional rigidity is described by the twist-to-bend ratio. The safety factor describes the maximum load capacity. We selected four herbaceous species with different body plans (monocotyledonous, dicotyledonous) and spatial configurations of petiole and lamina (2-dimensional, 3-dimensional) and carried out morphological-anatomical studies, two-point bending tests and torsional tests on the petioles to analyze the influence of geometry, size and shape on their twist-to-bend ratio and safety factor. The monocotyledons studied had significantly higher twist-to-bend ratios (23.7 and 39.2) than the dicotyledons (11.5 and 13.3). High twist-to-bend ratios can be geometry-based, which is true for the U-profile of Hosta x tardiana with a ratio of axial second moment of area to torsion constant of over 1.0. High twist-to-bend ratios can also be material-based, as found for the petioles of Caladium bicolor with a ratio of bending elastic modulus and torsional modulus of 64. The safety factors range between 1.7 and 2.9, meaning that each petiole can support about double to triple the leaf’s weight.Max LangerMax LangerMark C. KelbelMark C. KelbelThomas SpeckThomas SpeckClaas MüllerClaas MüllerOlga SpeckOlga SpeckFrontiers Media S.A.articletwist-to-bend ratiosafety factorpetiolebiomechanicsbody plangeometryPlant cultureSB1-1110ENFrontiers in Plant Science, Vol 12 (2021)
institution DOAJ
collection DOAJ
language EN
topic twist-to-bend ratio
safety factor
petiole
biomechanics
body plan
geometry
Plant culture
SB1-1110
spellingShingle twist-to-bend ratio
safety factor
petiole
biomechanics
body plan
geometry
Plant culture
SB1-1110
Max Langer
Max Langer
Mark C. Kelbel
Mark C. Kelbel
Thomas Speck
Thomas Speck
Claas Müller
Claas Müller
Olga Speck
Olga Speck
Twist-to-Bend Ratios and Safety Factors of Petioles Having Various Geometries, Sizes and Shapes
description From a mechanical viewpoint, petioles of foliage leaves are subject to contradictory mechanical requirements. High flexural rigidity guarantees support of the lamina and low torsional rigidity ensures streamlining of the leaves in wind. This mechanical trade-off between flexural and torsional rigidity is described by the twist-to-bend ratio. The safety factor describes the maximum load capacity. We selected four herbaceous species with different body plans (monocotyledonous, dicotyledonous) and spatial configurations of petiole and lamina (2-dimensional, 3-dimensional) and carried out morphological-anatomical studies, two-point bending tests and torsional tests on the petioles to analyze the influence of geometry, size and shape on their twist-to-bend ratio and safety factor. The monocotyledons studied had significantly higher twist-to-bend ratios (23.7 and 39.2) than the dicotyledons (11.5 and 13.3). High twist-to-bend ratios can be geometry-based, which is true for the U-profile of Hosta x tardiana with a ratio of axial second moment of area to torsion constant of over 1.0. High twist-to-bend ratios can also be material-based, as found for the petioles of Caladium bicolor with a ratio of bending elastic modulus and torsional modulus of 64. The safety factors range between 1.7 and 2.9, meaning that each petiole can support about double to triple the leaf’s weight.
format article
author Max Langer
Max Langer
Mark C. Kelbel
Mark C. Kelbel
Thomas Speck
Thomas Speck
Claas Müller
Claas Müller
Olga Speck
Olga Speck
author_facet Max Langer
Max Langer
Mark C. Kelbel
Mark C. Kelbel
Thomas Speck
Thomas Speck
Claas Müller
Claas Müller
Olga Speck
Olga Speck
author_sort Max Langer
title Twist-to-Bend Ratios and Safety Factors of Petioles Having Various Geometries, Sizes and Shapes
title_short Twist-to-Bend Ratios and Safety Factors of Petioles Having Various Geometries, Sizes and Shapes
title_full Twist-to-Bend Ratios and Safety Factors of Petioles Having Various Geometries, Sizes and Shapes
title_fullStr Twist-to-Bend Ratios and Safety Factors of Petioles Having Various Geometries, Sizes and Shapes
title_full_unstemmed Twist-to-Bend Ratios and Safety Factors of Petioles Having Various Geometries, Sizes and Shapes
title_sort twist-to-bend ratios and safety factors of petioles having various geometries, sizes and shapes
publisher Frontiers Media S.A.
publishDate 2021
url https://doaj.org/article/a58c83c594a4496aa49b68142b58486e
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