Effect of Juvenile Wood and Choice of Parametric Property Distributions on Reliability-Based Beam Design

Authors

  • Yifu Tang
  • Ronald G. Pearson

Keywords:

Reliability-based design, S<sub>B</sub> distribution, Weibull distribution, lognormal distribution, juvenile wood, mechanical properties, beam design

Abstract

A comparison is made of the effect of choice of the SB distribution, Weibull distribution, or log-normal distribution on reliability-based design of a 2 x 4 southern pine beam, No. 2 grade. The SB distribution provided most flexibility in describing the lumber properties.

The presence of juvenile wood in lumber may affect the distributional characterization of lumber properties and in turn affect reliability-based design results. This study shows that juvenile wood had a significant effect on the reliability-based design results when stiffness was the limiting state. Unless juvenile wood lumber is separated from mature wood lumber in the grading process, a considerable loss in efficiency in utilizing lumber from fast-grown trees will occur where stiffness is critical.

References

American Society for Testing and Materials. 1990. Standard method for evaluating allowable properties for grades of structural lumber. Designation D 2915, Vol. 04.09, ASTM, Philadelphia, PA.nBarrett, J. D., and R. M. Kellogg. 1986. Lumber quality from second growth managed forests. Pages 57-71 in A technical workshop: Juvenile wood—What does it mean to forest management and forest products?, Proceeding 47309. Forest Products Research Society, Madison, WI.nBendtsen, B. A. 1978. Properties of wood from improved and intensively managed trees. Forest Prod. J. 28(10):61-72.nChristensen, R. 1981. Entropy MiniMax sourcebook. Vol. I: General description. Entropy Limited, Lincoln, MA.nChristensen, R. 1984. Data distributions: A statistical handbook. Entropy Limited, Lincoln, MA.nFoschi, R. O., B. R. Folz, and F. Z. Yao. 1989. Reliability-based design of wood structure. Structure Research Series, Report No. 34, Dept. of Civil Engineering, University of British Columbia, Vancouver, BC, Canada.nHafley, W. L., and H. T. Schreuder. 1977. Statistical distributions for fitting diameter and height data in even-aged stands. Can. J. For. Res. 7(3):481-487.nJohnson, N. L. 1949a. Systems of frequency curves generated by means of translation. Biometrika 36:149-176.nJohnson, N. L. 1949b. Bivariate distributions based on simple translation systems. Biometrika 36:149-176.nMacGregor, J. G., S. A. Mirza, and B. Ellingwood. 1983. Statistical analysis of resistance of reinforced and prestressed concrete members. J. ACI 8(3):167-176.nMirza, S. A., M. Hatzinikolas, and J. G. MacGregor. 1979. Statistical description of the strength of concrete. J. Structure Division ASCE 105(ST6):1021-1037.nMurphy, J. F. 1988. Load and resistance factor design for engineered wood construction: A pre-standard report. Prepared by the task committee on load and resistance factor design for engineered wood construction. American Society of Civil Engineers.nPearson, R. G. 1980. Potential of the SB and SBB distributions for describing mechanical properties of lumber. Wood Fiber Sci. 12(4):244-254.nPellicane, P. J. 1984. Application of the SB distribution to the simulation of correlated lumber properties data. Wood Sci. Technol. 18:147-156.nPellicane, P. J. 1985. Goodness-of-fit analysis for lumber data. Wood Sci. Technol. 19:117-129.nRavindra, M. K., and T. V. Galambos. 1978. Load and resistance factor design for steel. J. Structure Division ASCE 104(ST9):1337-1353.nSchreuder, H. T., and W. L. Hafley. 1977. A useful bivariate distribution for describing stand structure of tree heights and diameters. Biometrics 33(3):471-478.nThoft-Christensen, P., and M. J. Baker. 1982. Structural reliability theory and its applications. Springer-Verlag, New York, NY.nZahn, J. J. 1977. Reliability-based design procedures for wood structure. Forest Prod. J. 27(3):21-28.n

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Published

2007-06-28

Issue

Number 2 / April 1992

Section

Research Contributions

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