Section Properties of Palm Petioles. Part 1: The Influence of Section Shape on the Flexural and Torsional Properties of Selected Palm Petioles

Section Properties of Palm Petioles. Part 1: The Influence of Section Shape on the Flexural and Torsional Properties of Selected Palm Petioles

A.G. Windsor-Collins M.A. Atherton M.W. Collins D.F. Cutler 

School of Engineering & Design, Brunel University, United Kingdom

Royal Botanic Gardens, Kew, United Kingdom

Page: 
328-347
|
DOI: 
https://doi.org/10.2495/D&N-V2-N4-328-347
Received: 
N/A
| |
Accepted: 
N/A
| | Citation

OPEN ACCESS

Abstract: 

Shape factors have been used to calculate the shape effi ciency of palm leaf petiole sections in order to understand how palms compensate for the torsional and bending forces they are subjected to by their environment. The part of the palm leaf that is similar in form to the leaf stalk (petiole) in dicot leaves will be referred to as a petiole in this paper, whilst recognising that it is probably not an exact homologue. Wind and rain on the blade generate combined fl exural and torsion loads on the petiole and a question arises as to how the section properties of the petiole deal with this loading. By isolating the shape from the size of the sections through the use of shape factors, the effects of the petiole section shape can be analysed on its own. Thus microstructural and material factors become a separate issue and will be discussed in a later paper. Cross section profi les from seven palm petioles are modelled, independent of their sizes, in order to calculate and plot the fl exural and torsional coupling effi ciencies for comparison with other plants and typical engineering cross sections.

Keywords: 

 composite, dicotyledon, fl exural, monocotyledon, palm, parenchyma, petiole, shape factor, torsion, vascular bundle

  References

[1] Futuyma, D.J., Evolutionary Biology, 2nd edn, Sinauer Associates Inc.: Sunderland, MA, 1986.

[2] Gibbons, M., A Pocket Guide to Palms, PRC Publishing: London, 2003.

[3] Pasini, D. & Mirjalili, V., The optimised shape of a leaf petiole. Design and Nature III: Comparing Design in Nature with Science and Engineering, WIT Press: Southampton, p. 35, 2006.

[4] Burgess, S.C. & Pasini, D., The Structural Effi ciency of Trees, The University of Bristol: Bristol, 2003.

[5] Milwich, M. et al., Biomimetics and technical textiles: solving engineering problems with the help of nature’s wisdom. American Journal of Botany, 93(10), pp. 1455–1465, 2006.

[6] Tomlinson, P.B., The Structural Biology of Palms, 1st edn, Oxford Science Publications: Oxford, p. 10, 1990. 

[7] Pasini, D., Shape Transformers for Material and Shape Selection, ASME DETC-84894, 2005.

[8] Mattheck, C. & Tesari, I., Uniform Stress – A Design Rule for Biological Load Carriers, Institute of Materials Research II, Forschungszentrum Karlsruhe: Germany, 2003.

[9] Niklas, K.J., Plant Biomechanics: An Engineering Approach to Plant Form & Function, 1st edn, The University of Chicago Press: Chicago, 1992.

[10] Fairchild Tropical Botanic Garden, Florida, USA, http://www.fairchildgarden.org.

[11] Asmussen, C.B. & Chase, M.W., Coding and non-coding plastid DNA in palm systematics. American Journal of Botany, 88(6), pp. 1103–1117, 2001.

[12] Moore, H.E., The major groups of palms and their distribution. Gentes Herbarium, 11, pp. 27–141, 1973.

[13] Read, R.W. & Hickey, L.J., A revised classifi cation of fossil palm and palm-like leaves. Taxon, 21(1), pp. 129–137, 1972.

[14] Abranson, K., Palm fl oral morphology: a review in relation to recent developments in molecular studies for palm classifi cation, Imperial College, London, UK, April 2001.

[15] Ashby, M.F., Gibson, L.J., Wegst, U. & Olive, R., The mechanical properties of natural materials. I. Material property charts. Proceedings: Mathematical and Physical Sciences, 450, pp. 123–140, 1995.