Correlation of Bending Test Varying the Length Between Supports to Determine Longitudinal Modulus of Elasticity
International Journal of Materials Science and Applications
Volume 8, Issue 2, March 2019, Pages: 21-24
Received: May 14, 2019; Accepted: Jun. 19, 2019; Published: Jun. 29, 2019
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Edson Fernando Castanheira Rodrigues, School of Civil Engineering, University of Uberaba, Uberaba, Brazil
André Luis Christoforo, Department of Civil Engineering, Federal University of São Carlos, São Carlos, Brazil
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The large amount of wood in Brazil related to the numerous uses of this material stimulates many studies to be carried out in order to use this raw material increasingly in a rational and adequate way. Compared with concrete and steel, wood presents an excellent relation between mechanical strength and its mass, beauty, low energy consumption for its processing, good thermal insulation and easy workability. In order to make the best use of wood, this work proposes to study the correlation between the values of the longitudinal modulus of elasticity (E) obtained in the 3-point bending test with a 14H and 21H (H = height of cross-sectional area) of specimen measurement between the supports. The data were analyzed through linear regression analysis, thus, three correlations were calculated between values from 14H of span length to the other 21H of span length in the test for a particular correlation of each hardwood species (Peroba Rosa and Eucalyptus Tereticornis) and the third one was generalized for the use in more hardwood species. Thus, the correlation of the longitudinal modulus of elasticity for the species of the hardwood group was possible for: Peroba Rosa (Aspidosperma polyneuron) with 35 specimens and Eucalyptus Tereticornis (Eucalyptus tereticornis) with 33 specimens.
Linear Regression, Hardwood, Relation, Stiffness, Bending Test
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Edson Fernando Castanheira Rodrigues, André Luis Christoforo, Correlation of Bending Test Varying the Length Between Supports to Determine Longitudinal Modulus of Elasticity, International Journal of Materials Science and Applications. Vol. 8, No. 2, 2019, pp. 21-24. doi: 10.11648/j.ijmsa.20190802.11
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Cavalheiro, R. S.; Almeida, D. H.; Almeida, T. H.; Christoforo, A. L.; Larh, F. A. R. Estimation of modulus of elasticity in static bending of wood in structural dimensions as a function of longitudinal vibration and density, Current Journal of Applied Science and Technology, London, v.26, n. 1, p. 1–8, february, 2018.
Vidal, J. M.; Evangelhista, W. V.; Silva, J. C.; Jankowsky, I. P. Preservação de madeiras no Brasil: Histórico, cenário atual e tendências, Ciência Florestal, Santa Maria – RS, v. 25, n. 1, p. 257-271, jan./mar. 2015.
Segundinho, P. G. A.; Regazzi, A. J.; Poletti, F. S.; Paula, M. O.; Mendonça, A. R.; Gonçalves, F. G. Variação dos módulos de elasticidade e ruptura em madeira de Cedro-Australiano por meio de ensaios não destrutivo e destrutivo, Ciência Florestal, Santa Maria – RS, v. 28, n. 3, p. 1163-1178, jul./set. 2018.
Marques, L. E. M. M. O papel da madeira na sustentabilidade da construção. 2008. 111 f. Dissertação (Mestrado Integrado em Engenharia Civil) – Departamento de Engenharia Civil, Faculdade de Engenharia da Universidade do Porto, Porto, 2008.
Georgiopoulos, P. and Kontou, E. Τhe effect of wood-fiber type on the thermomechanical performance of a biodegradable polymer matrix, J. Appl. Polym. Sci., v. 132, p. 1–10, march. 2015.
Icimoto, F. H.; Ferro, F. S.; Almeida D. H.; Christoforo, A. L.; Lahr, F. A. R. Influence of the wood specimen position on calculus of bending modulus of elasticity, International Journal of Materials Engineering, v. 3, n. 3, p. 41-46, may. 2013.
Guan, C.; Liu, J.; Zhang, H.; Wang, X.; Zhou, L. Evaluation of modulus of elasticity and modulus of rupture of full-size wood composite panels supported on two nodal-lines using a vibration technique, Construction and Building Materials, v. 218, p. 64–72, 2019.
Associação Brasileira De Normas Técnicas – ABNT. NBR 7190 (1997). Projeto de estruturas de madeira. Rio de Janeiro, 107 p., 1997.
Morales, E. A. M.; Kondo, H. K. Barbosa J. C.; Campos, C. I.; Lahr, F. A. R.; Christoforo, A. L. Evaluating a test parameter in static bending for Pinus sp. wood. Advanced Materials Research. V. 1025–1026, p. 196–199, September. 2014.
Lahr, F. A. R.; Christoforo, A. L.; Panzera, T. H.; Silva D. A. L.; Gonçalves, D. Anisotropy influence in obtaining stiffiness property in bending of Brazilian wood species. International Journal of materials Engineering, v. 4, n. 3, p. 92–96, may. 2014.
Yoshihara, H.; Kubojima, Y.; Nagaoka, K.; Ohta, M. Measurement of the shear modulus of wood by static bending tests. Journal of Wood Science, v. 44, n. 1, p. 15–20, february. 1998.
Babiak, M.; Gaff, M.; Sikora, A.; Hysek, Š. Modulus of elasticity in three- and four-point bending of wood. Composite Structures, v. 204, n. 15, p. 454–465, November. 2018.
EN 310. Wood-based panels. Determination of modulus of elasticity in bending and of bending strength. European Committee for Standardization, Brussels, Belgium; 1993.
Braz, L. R.; Oliveira, J. T. S; Rodrigues, B. P.; Arantes, M. D. C. Propriedades físicas e mecânicas da madeira de toona ciliata em diferentes idades. Floresta, Curitiba – PR, v. 43, n. 4, p. 663–670, out/dez. 2013.
Associação Brasileira De Normas Técnicas – ABNT. MB 26/40 (1940). Ensaios físicos e mecânicos de madeiras. Rio de Janeiro, 1940.
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