International Journal of Agriculture and Forestry
p-ISSN: 2165-882X e-ISSN: 2165-8846
2012; 2(4): 157-160
doi: 10.5923/j.ijaf.20120204.04
André Luis Christoforo 1, Francisco Antonio Rocco Lahr 2, Elen Aparecida Martines Morales 3, André Luiz Zangiácomo 4, Túlio Hallak Panzera 1
1Department of Mechanical Engineering, Federal University of São João del-Rei (UFSJ), São João del-Rei, 36307-352, Brazil
2Department of Structural Engineering, University of São Paulo (EESC/USP), São Carlos, 13566-590, Brazil
3Department of Wood Engineering, São Paulo State University, Experimental Campus of Itapeva, Itapeva, 18409-010, Brazil
4Department of Engineering, Federal University of Lavras (UFLA), Lavras, 37200-000, Brazil
Correspondence to: André Luis Christoforo , Department of Mechanical Engineering, Federal University of São João del-Rei (UFSJ), São João del-Rei, 36307-352, Brazil.
Email: |
Copyright © 2012 Scientific & Academic Publishing. All Rights Reserved.
Round timber shows great potential for use as a building material, having the advantage of not being processed, such as the sawn wood. In Brazil, the normative standards that deal with the existing round timber elements are mainly headed for the pole market, being in force for at least twenty years without technical review, recommending characterization of this material by destructive methods, using small specimens with no defects and a cantilever beam structural model[2]. This paper aims to determine the longitudinal modulus of elasticity of Pinus caribaea structural round timber beams using static three-point bending test under physical and geometrical linearity conditions (non-destructive methodology) which evaluates the effect of the L/200 and L/300 displacement measurements for this purpose[6]. The results achieved by the confidence interval show the statistical equivalence between the values of the modulus of elasticity, being possible in this case, the use of both limits in displacement measurements.
Keywords: Round Timber, Three-point Static Bending, Longitudinal Modulus of Elasticity
(1) |
Figure 1. Three-point static bending test |
(2) |
Figure 2. Normal plot between EL/300 e EL/200 |
Figure 3. Linear regression between EL/300 e EL/200 |
[1] | A. L. Christoforo, T. H. Panzera, F. B. Batista, P. H. Borges, F. A. Rocco Lahr, " Numerical Evaluation of the Longitudinal Modulus of Elasticity in Structural Round Timber Elements of Eucalyptus genus", Agricultural Engineering Journal, v. 31, p. 1009-1016, 2011. |
[2] | Associação Brasileira de Normas Técnicas - NBR 6231, "Postes de madeira-resistência à flexão", Rio de Janeiro, 1980. |
[3] | Associação Brasileira de Normas Técnicas - NBR 8456, "Postes de eucalipto preservado para redes de distribuição de energia elétrica", Rio de Janeiro, 1984. |
[4] | Associação Brasileira de Normas Técnicas - NBR 8457, "Postes de eucalipto preservado para redes de distribuição de energia elétrica: dimensões", Rio de Janeiro, 1984. |
[5] | Associação Brasileira de Normas Técnicas - NBR 6122, "Projeto e execução de fundações", Rio de Janeiro, 1996. |
[6] | Associação Brasileira de Normas Técnicas - NBR 7190, "Projeto de estruturas de madeira", Rio de Janeiro, 1997. |
[7] | American National Standards Institute - ANSI O5.1, "American national standard for wood poles", Washington, DC. 2002. |
[8] | American Society for Testing and Materials - ASTM D198, "Static tests of timbers in structural sizes", Philadelphia, PA. 1976. |
[9] | American Society for Testing and Materials - ASTM D1036, "Standard test methods of static tests of wood poles", Philadelphia, PA. 1997. |
[10] | Comité Européen de Normalisation - DIN EN 14251, "Structural round timbers: test methods", Bruxelas, Bélgica. 2004. |
[11] | Australian Standard - AS 2209, "Timber-poles for overheads lines", Australia, 1994. |
[12] | A. Ranta-Maunus, "Bending and compression properties of small diameter round timber", In: World Conference on Timber Engineering, Whistler, Canada, 2000. |
[13] | R. Wolfe, C. Moseley, "Small-diameter log evaluation for value-added structural applications", Forest Products Journal, Madison, v.50, p. 48-58, 2000. |
[14] | R. J. Ross, X. Wang, J. A. Mattson, J. R. Erickson, J. W. Forsman, E. A. Geske, M. A. Wehr, "Comparison of several nondestructive evaluation techniques for assessing stiffness and MOE of small-diameter logs", Research Paper. Madison, WI: U. S., Department of Agriculture, Forest Service, Forest Products Laboratory, 2001. |
[15] | C, Calil Jr, M. M. Espinosa, A. J. S. Miná, A. A. Dias, "Confiabilidade em elementos estruturais de madeira roliça", Revista madeira (CD-Rom), São Carlos, v. 14, 2004. |
[16] | J. Pinto Neto, C. Calil Jr., M. M. Espinoza, "Propriedades de resistência e rigidez de peças estruturais roliças de pequeno diâmetro", In: IX Encontro Brasileiro em Madeiras e em Estruturas de Madeira. Cuiabá, MT, 2004. |
[17] | A. Sales, T. R. Pelizan, F. G. R. Oliveira, M. Candian, F. F. Lucchette, J. L. Salgon, K. P. Miller, "Avaliação de propriedades mecânicas de peças roliças de Eucalipto por meio de ultra-som", In: IX Encontro Brasileiro em Madeiras e em Estruturas de Madeira. Cuiabá, MT, 2004. |
[18] | D. Larson, R. Mirth, R. Wolfe, "Evaluation of small-diameter ponderosa pine logs in bending", Forest Products Journal, Madison, WI, v.54, p.52-58, 2004. |
[19] | A. J. S. Miná, A. A. Dias, "Estacas de madeira para fundações de pontes de madeira", Cadernos de Engenharia de Estruturas (Online), v. 10, p. 129-155, 2008. |
[20] | M. R. Carreira, A. A. Dias, "Avaliação da rigidez à flexão de toras de madeira por meio de vibração transversal", Cadernos de Engenharia de Estruturas (Online), v. 11, p. 75-79, 2009. |
[21] | A. Sales, M. Candian, V. C. Salles, "Nondestructive evaluation of timber: the new Brazilian code for the design of timber structures", Materials and Structures, v. 43, p. 213-221, 2010. |
[22] | A. J. S. MINÁ, "Estudo de estacas de madeira para fundações de pontes de madeira", Tese (Doutorado em Engenharia de Estruturas), 117 p, Escola de Engenharia de São Carlos, Universidade de São Paulo, São Carlos, 2005. |
[23] | A. L. Zangiácomo, F. A. Rocco Lahr, "Avaliação do efeito de cisalhamento na flexão de elementos roliços da espécie Eucalyptus citriodora", In: XI EBRAMEM - Encontro Brasileiro em Madeiras e em Estruturas de Madeira, Londrina, PR, 2008. |
[24] | A. J. S. Miná, A. A. Dias, C. Calil Jr., "Avaliação da rigidez e da resistência de postes de madeira para uso como estacas para fundações", In: IX Encontro Brasileiro em Madeiras e em Estruturas de Madeira, Cuiabá, MT, 2004. |
[25] | F. G. R. Oliveira, A. Sales, "Ultrassonic measurements in Brazilian hardwood", Materials Research, v. 5, n. 1, p. 51-55, 2002. |
[26] | V. Wolfe, "Research challenges for structural use of small-diameter round timbers". Forest Products Journal, v. 50, n. 2, p. 21-29, 2000. |
[27] | X. Wang, R. J. Ross, M. McLellan, R. J. Barbour, J. R. Erickson, J. W. Forsman, G. D. McGinnis. "Nondestructive evaluation on standing trees with a stress wave method". Wood and Fiber Science, v. 33, n. 4, p. 522–533, 2001. |
[28] | W. M. G. Burdzik, P. D. Nkwera, "Transverse vibration tests for prediction of stiffness and strength properties of full size Eucalyptus grandis". Forest Products Journal, v. 52, n. 6, p. 63-67, 2002. |
[29] | X. Wang, R. J. Ross, J. A. Mattson, J. R. Erickson, J. W. Forsman, E. A. Geske, M. A. Wehr, "Nondestructive evaluation techniques for assessing modulus of elasticity and stiffness of small-diameter logs". Forest Products Journal, v. 52, n. 2, p. 79-85, 2002. |
[30] | X. Wang, R. J. Ross, B. K. Brashaw, J. Punches, J. R. Erickson, J. W. Forsman, R. Pellerin, "Diameter effect on stress-wave evaluation of modulus of elasticity of logs". Wood and Fiber Science, v. 36, n. 3, p. 368-377, 2004. |
[31] | R. Wolfe, J. Murphy, "Strength of small-diameter round and tapered bending members". Forest Products Journal, v. 55, n. 3, p. 50-55, 2005. |
[32] | S. Y. Wang, J. H. Chen, M. J. Tsai, C. J. Lin, T. H. Yang, "Grading of softwood lumber using non-destructive techniques". Journal of Materials Processing Technology, v. 208, p. 149-158, 2008. |
[33] | J. Xiao, C. Sa., Y. Han, "Nondestructive Testing of Dynamic Elastic Modulus of Wood-Basedpanel by the Method of Stress Wave". Proceedings of the 9th International Conference on Electronic Measurement and Instruments ICEMI, Vol.2, Beijing, China, pp. 357-361, 2009. |
[34] | M. Yamasaki, Y. Sasaki, "Determining Young’s modulus of timber on the basis of a strength database and stress wave propagation velocity I: an estimation method for Young’s modulus employing Monte Carlo simulation". Journal of Wood Science, v. 56, n. 4, p. 269-275, 2010. |
[35] | A. Sales, M. Candian, V. S. Cardin, "Evaluation of the mechanical properties of Brazilian lumber ( Goupia glabra) by nondestructive techniques". Construction and Building Materials, v. 25, n. 3, p. 1450-1454, 2011. |
[36] | M. C. C. Werkema, S. Aguiar, "Planejamento e análise de experimentos: como identificar e avaliar as principais variáveis influentes em um processo", Belo Horizonte: Fundação Christiano Ottoni, Escola de Engenharia da Universidade Federal de Minas Gerais, 1996. |