Simulation of Correlated Nonstationary Lumber Properties
Publication: Journal of Materials in Civil Engineering
Volume 6, Issue 1
Abstract
A stochastic model has been developed for simulating correlated nonstationary spatial variation of modulus of elasticity (MOE) and parallel to grain compressive strength . Two grades of spruce‐pine‐fir machine stress‐rated lumber, 2400f‐2.0E and 1650f‐1.5E, have been tested to obtain within‐member MOE and profiles. Each piece, 4.88‐m long, has been cut into 152‐mm segments where within member values have been obtained. Test results have revealed that the within‐member MOE and profiles are correlated and nonstationary. The data have been used to develop and verify a stochastic model. Trend‐removal techniques, spectral representation method, bivariate standard normal simulation model, and moving‐average model have been used to generate within‐member MOE and profiles. The correlation structure and nonstationary characteristics of the MOE and strength profiles have been preserved. Good agreement has been obtained between model predictions and test data.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Kline, D. E., Woeste, F. E., and Bendtsen, B. A. (1986). “Stochastic model for modulus of elasticity of lumber.” Wood and Fiber Sci., 18(2), 228–238.
2.
Lam, F., and Barrett, J. D. (1992). “Modeling lumber strength spatial variation using trend removal and kriging analyses.” Wood Sci. and Technol., Vol. 26, 369–381.
3.
Lam, F., and Varōglu, E. (1991a). “Variation of tensile strength along the length of lumber. Part I: Experimental.” Wood Sci. and Technol., 25(5), 351–359.
4.
Lam, F., and Varōglu, E. (1991b). “Variation of tensile strength along the length of lumber. Part II: Model development and verification.” Wood Sci. and Technol., 25(6), 449–458.
5.
Payne, J. A. (1982). Introduction to simulation, programming techniques and methods of analysis. McGraw‐Hill Book Co., New York, N.Y., 202–205.
6.
Showalter, K. L., Woeste, F. E., and Bendtsen, B. A. (1987). “Effect of length on tensile strength of structural lumber.” Research Paper FPL‐RP‐482, U.S. Dept. of Agriculture, Forest Service, Forest Products Lab., Madison, Wis.
7.
Taylor, S. E., and Bender, D. A. (1988). “Simulating correlated lumber properties using a modified multivariate normal approach.” Trans. ASAE, 31(1), 182–186.
8.
Taylor, S. E., and Bender, D. A. (1991). “Stochastic model for localized tensile strength and modulus of elasticity in lumber.” Wood and Fiber Sci., 23(4), 501–519.
9.
Wang, Y. T., Foschi, R. O., and Filiatrault, A. (1990). “Random modeling of material properties in reliability studies of laminated beams.” Proc., 1990 Int. Timber Engrg. Conf., Science University of Tokyo, Tokyo, Japan, 1, 279–286.
10.
Wang, Y. T., and Foschi, R. O. (1992). “Random field stiffness properties and reliability of laminated wood beams.” Struct. Safety, 11, 191–202.
11.
Xiong, P. (1991). “Modeling strength and stiffness behaviors in glulam,” MS thesis, University of British Columbia, Vancouver, British Columbia, Canada.
Information & Authors
Information
Published In
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jul 16, 1992
Published online: Feb 1, 1994
Published in print: Feb 1994
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.