Hankinson’s formula evaluation as a resistance estimator for the bonded joints under compressions and for mechanic development in bonded joints under torsion
DOI:
https://doi.org/10.33448/rsd-v11i14.36464Keywords:
Wood; Adhesives; Bonding in angles.Abstract
Hankinson’s formula estimates strength properties of wood when the material is receiving forces inclined in relation to the fiber direction. In Brazil, by force of normative orientation, a fixed value equal to 2 is usually used for the exponent β of the sine and cosine of the formula, but better adjustments can occur for exponents different from this value. The objective of this work was to evidence, from five independent experiments, the adequacy of Hankinson’s formula to estimate the strength of glued joints at different angles, when ruptured under compression. Additionally, it was sought to analyze the difference in mechanical performance of glued joints when the test is done by compression or by torsion. In this work, the values of parameters β varied between 1.82 and 2.18, with an average of 2.02, which is close to the value adopted in the standard. The bonded joints ruptured by compression presented loss of strength with the increase of the bonding angle. In the torsion test, the resistance suffered little influence of the glueing angle. It was verified that Hankinson’s formula is adequate to estimate the strength of glued joints at different angles between wood fibers, when the rupture occurs by compression, but it does not seem adequate to obtain an estimate of strength under torsion. Glued joints broken under compression showed different strength than glued joints broken under torsion. Overall, both Hankinson’s formula and tests conducted under torsion may allow the verification of glued joints subjected simultaneously to forces and moments.
References
American Society for Testing and Materials (2013) D 905: Standard test method for strength properties of adhesive bonds in shear by compression loading. Pennsylvania.
Associação Brasileira de Normas Técnicas (2022). NBR 7190: Projeto de estruturas em madeira. Rio de Janeiro.
Bodig J. & Jayne B. A. (1982). Mechanics of wood and wood composites. New York: Van Nostrand Reinhold Company.
Braz R. L., Oliveira J. T. S., Rodrigues B. P. & Arantes M. D. C. (2013). Propriedades físicas e mecânicas da madeira de Toona ciliata em diferentes idades. Revista Floresta: 43 (4): 663-670. DOI: 10.5380/rf.v43i4.30559
Cezaro J. A., Trevisan R. & Balbinot R. (2016). Propriedades físico-mecânicas da madeira de Chrysophyllum marginatum. Pesquisa Florestal Brasileira: 36 (86): 135-143. DOI: 10.4336/2016.pfb.36.86.884
Couri Petrauski S. M. F. (1999) Desenvolvimento e teste de pórticos treliçados feitos de madeira de Eucalyptus citriodora e Eucalyptus grandis laminada e colada. Dissertação Mestrado. Universidade Federal de Viçosa.
Couri Petrauski S. M. F. (2012). Desenvolvimento de pórticos de madeira laminada colada de eucalipto, utilizando adesivo à base de resorcinol e óleo de mamona. Tese Doutorado, Universidade Federal de Viçosa.
Couri Petrauski S. M. F., Carneiro A. C. O., Petrauski M. C., Petrauski A. (2010). Avaliação de juntas coladas com adesivos poliuretanos. Anais do XII Encontro Brasileiro em Madeiras e em Estruturas de Madeira (XII EBRAMEM) – Lavras, MG.
Couri Petrauski S. M. F., Silva J. C., Petrauski A. & Della Lucia R. M. (2016). Analysis of Eucalyptus glued-laminated timber porticos structural performance. Revista Árvore: 40 (5): 931-939. DOI: doi.org/10.1590/0100-67622016000500017
De Paula E. V. C. M. & Hellmeister J. C. (1983). Ligação colada entre peças de madeira submetida a momento torçor na lâmina de cola. Anais do I Encontro Brasileiro em Madeiras e Estruturas de Madeira (I EBRAMEM) - São Carlos, SP.
Filippini D. F. (2020). Construção e ensaio de pórticos em madeira colada com reforço nas ligações. Dissertação Mestrado. Universidade Estadual do Oeste do Paraná.
Forest Products Laboratory (2021). Wood Handbook: wood as an engineering material. Madison, Wis.: The laboratory.
Fu W. L., Guan H. Y., Li W., Sawata K. & Zhao Y. (2022). Elastoplastic performance of wood under compression load considering cross-grain orientation and moisture content. European Journal of Wood and Wood Products. DOI: doi.org/10.1007/s00107-022-01880-w
Hsu M. C. (2014). Estudo comparativo entre juntas coladas rompidas ao cisalhamento na compreensão e juntas rompidas ao cisalhamento na torção. Relatório de Iniciação Científica, Universidade Estadual do Oeste do Paraná.
Indústria Brasileira de Árvores (2021). Relatório Anual Ibá 2021. São Paulo.
Kollman F. F. P. & Côté W. A. (1968). Principles of wood science and technology. New York: Springer Verlag.
Lima I. L. & Stape J. L. (2017). Caracterização da madeira serrada em clones de Eucalyptus. Pesquisa Florestal Brasileira. 37 (89): 55–62. DOI: 10.4336/2017.pfb.37.89.1113
Logsdon N. B., Finger Z., Jesus J. M. H. (2014). Influência do ângulo entre o esforço aplicado e a direção das fibras da madeira sobre a resistência ao cisalhamento. Ciência Florestal: 24 (4): 969-978. DOI: 10.1590/1980-509820142404016
Marques A. (2002). Validade do modelo de hankinson na predição da resistência de juntas coladas sujeitas a cisalhamento duplo. Trabalho de Conclusão de Curso, Universidade Estadual do Oeste do Paraná.
Pedro F.S., Juizo C. G. F., Rocha M. P., Bila N. F. & Uetimane E. (2014). Avaliação do rendimento em madeira serrada de eucalipto para dois modelos de desdobro numa serraria portátil. Floresta e Ambiente 21 (4): 543-550. DOI: 10.1590/2179-8087.062213
Petrauski A. (2000). Comportamento de ligações adesivas e avaliação experimental de tesouras de telhados feitas de laminado colado em madeira de Eucalyptus grandis. Tese Doutorado. Universidade Federal de Viçosa.
Petrauski A., Couri Petrauski S. M. F., Della Lucia R. M. & Petrauski M. C. (2020). Methodology and device to obtain torsional shear strength of glued joints. Floresta: 50 (4): 1921-1930. DOI: 10.5380/rf.v50i4.67140
Possa D. C., Petrauski A., Couri Petrauski S. M. F., Savaris G., Jordan R. A., Azevedo R. L., Possa D. C., Padilha V. H. L., Tomé K. T., Petrauski M. C. & La Torre A. III E. (2022). Construção e ensaio de pórticos com tirante em madeira laminada colada. Research, Society and Development. 20 (2): e52711226109. DOI: 10.33448/rsd-v11i2.26109
Stringari E. H., Petrauski A., Couri Petrauski S. M. F., Azevedo R. L. & Savaris G. (2020). Construction and testing of glued laminated timber frames for use in laying poultry houses. Engenharia Agrícola: 40 (2): 122-131. DOI: doi.org/10.1590/1809-4430-Eng.Agric.v40n2p122-131/2020
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Copyright (c) 2022 Sandra Maria Ferreira Couri Petrauski; Mateus Couri Petrauski; Alfredo Petrauski; Desirè Coraça Possa; Ricardo Lessa Azevedo; Maritane Prior; Gustavo Lacerda Dias
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