Cross-Sectional Performance of Hollow Square Prisms with Rounded Edges

Shima, Hiroyuki; Furukawa, Nao; Kameyama, Yuhei; Inoue, Akio; Sato, Motohiro

doi:10.3390/sym12060996

Cited by 3 publications

(2 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, to investigate the mechanical response of a plant more quantitatively, it is necessary to consider the variation in both the mechanical and geometrical properties of the plant from the ground to the top as well as the effect of initial imperfection. In this context, we need to extend our formulation considering the spatial variation in the cross-sectional geometry [33,45], that in Young's modulus [38], and the presence of cracks in the initial state [35]; I intended to address these interesting problems in future.…”

Section: Discussionmentioning

confidence: 99%

Simple Approximate Formulas for Postbuckling Deflection of Heavy Elastic Columns

Shima

2020

Applied Sciences

Self Cite

View full text Add to dashboard Cite

Columnar buckling is a ubiquitous phenomenon that occurs in both living things and man-made objects, regardless of the length scale ranging from macroscopic to nanometric structures. In general, analyzing the post-buckling behavior of a column requires the application of complex mathematical methods because it involves nonlinear problem solving. To complement these complex methods, this study presents simple analytical formulas for the large deflection of a heavy elastic column under combined loads. The analytical formulas relate the concentrated load acting on the tip of the column, the column’s own weight, and the deflection angle of the column through a simple mathematical expression. This can assist in obtaining an overall picture of the post-buckling behavior of heavy columns from an application point of view.

show abstract

Section: Discussionmentioning

confidence: 99%

Simple Approximate Formulas for Postbuckling Deflection of Heavy Elastic Columns

Shima

2020

Applied Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

“…However, to investigate the mechanical response of a plant more quantitatively, it is necessary to consider the variation in both the mechanical and geometrical properties of the plant from the ground to the top as well as the effect of initial imperfection. In this context, we need to extend our formulation considering the spatial variation in the cross-sectional geometry 33,45 , that in Young's modulus 38 , and the presence of cracks in the initial state 35 ; I intended to address these interesting problems in future.…”

Section: Discussionmentioning

confidence: 99%

Simple approximate formulas for postbuckling deflection of heavy elastic columns

Shima¹

2020

Preprint

Self Cite

View full text Add to dashboard Cite

Columnar buckling is a ubiquitous phenomenon that occurs in both living things and man-made objects, regardless of the length scale ranging from macroscopic to nanometric structures. In general, analyzing the post-buckling behavior of a column requires the application of complex mathematical methods because it involves nonlinear problem solving. To complement these complex methods, this study presents simple analytical formulas for the large deflection of a heavy elastic column under combined loads. The analytical formulas relate the concentrated load acting on the tip of the column, the column's own weight, and the deflection angle of the column through a simple mathematical expression. This can assist in obtaining an overall picture of the post-buckling behavior of heavy columns from an application point of view.

show abstract