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Volume 12
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10.3390/sym12060996
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Article

Cross-Sectional Performance of Hollow Square Prisms with Rounded Edges

by
Hiroyuki Shima
1,*,
Nao Furukawa
2,
Yuhei Kameyama
3,
Akio Inoue
4 and
Motohiro Sato
5,*
1
Department of Environmental Sciences, University of Yamanashi, Kofu, Yamanashi 400-8510, Japan
2
Department of Socio-Environmental Engineering, School of Engineering, Hokkaido University, Sapporo, Hokkaido 060-8628, Japan
3
Division of Engineering and Policy for Sustainable Environment, Graduate School of Engineering, Hokkaido University, Sapporo, Hokkaido 060-8628, Japan
4
Faculty of Agriculture, Kindai University, Nara 631-8505, Japan
5
Division of Mechanical and Aerospace Engineering, Faculty of Engineering, Hokkaido University, Sapporo 060-8628, Japan
*
Authors to whom correspondence should be addressed.
Symmetry 2020, 12(6), 996; https://doi.org/10.3390/sym12060996
Submission received: 21 May 2020 / Revised: 5 June 2020 / Accepted: 8 June 2020 / Published: 11 June 2020
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Abstract

Hollow-section columns are one of the mechanically superior structures with high buckling resistance and high bending stiffness. The mechanical properties of the column are strongly influenced by the cross-sectional shape. Therefore, when evaluating the stability of a column against external forces, it is necessary to reproduce the cross-sectional shape accurately. In this study, we propose a mathematical method to describe a polygonal section with rounded edges and vertices. This mathematical model would be quite useful for analyzing the mechanical properties of plants and designing plant-mimicking functional structures, since the cross-sections of the actual plant culms and stems often show rounded polygons.
Keywords: square bamboo; structural mechanics; buckling; bending; hollow columns; biomimetics square bamboo; structural mechanics; buckling; bending; hollow columns; biomimetics

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MDPI and ACS Style

Shima, H.; Furukawa, N.; Kameyama, Y.; Inoue, A.; Sato, M. Cross-Sectional Performance of Hollow Square Prisms with Rounded Edges. Symmetry 2020, 12, 996. https://doi.org/10.3390/sym12060996

AMA Style

Shima H, Furukawa N, Kameyama Y, Inoue A, Sato M. Cross-Sectional Performance of Hollow Square Prisms with Rounded Edges. Symmetry. 2020; 12(6):996. https://doi.org/10.3390/sym12060996

Chicago/Turabian Style

Shima, Hiroyuki, Nao Furukawa, Yuhei Kameyama, Akio Inoue, and Motohiro Sato. 2020. "Cross-Sectional Performance of Hollow Square Prisms with Rounded Edges" Symmetry 12, no. 6: 996. https://doi.org/10.3390/sym12060996

APA Style

Shima, H., Furukawa, N., Kameyama, Y., Inoue, A., & Sato, M. (2020). Cross-Sectional Performance of Hollow Square Prisms with Rounded Edges. Symmetry, 12(6), 996. https://doi.org/10.3390/sym12060996

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