TECHNICAL PAPERS
May 1, 1987

Resistance Factor for Wood in Bending or Tension

Publication: Journal of Structural Engineering
Volume 113, Issue 5

Abstract

The reliability of dimension lumber in tension or bending is examined using advanced first‐order second‐moment reliability analyses. The material strength data are obtained from the literature. The reliability index for existing designs ranges from 1.1 to 3.7 for both bending and tension. Load combinations from the American National Standards Institute (ANSI) A58.1 are considered. The load‐duration effect is included by applying the appropriate Madison curve value to the resistance, considering that load in the load combination that was at its lifetime maximum value. A load‐ and resistance‐factor design (LRFD) procedure for dimension lumber in bending or tension is then calibrated to existing design practice. Due to the wide range of reliability indices, the selection of a target reliability index is not possible at this time. Rather, a direct calibration approach is used to obtain a single resistance factor for bending or tension. The use of this resistance factor in combination with the load factors and load combinations from ANSI A58.1 is examined. For a given species, grade, and size, the reliability levels over a load combination are made more consistent. However, this direct calibration approach retains the inconsistent levels of safety, which now exist in the NDS between the various species, grades, and sizes. The technique might be useful for a first (lateral) calibration from the current National Design Specification for Wood Construction (NDS) to an LRFD‐based NDS, but future work toward more consistent safety levels would still be in order. The technique might also be useful for calibration of species where little in‐grade test data are available.

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References

1.
Algermissen, S. T., and Perkins, D. M., “A Probabilistic Estimate of Maximum Acceleration in Rock in the Contiguous United States,” U.S. Geological Survey Open File Report 76‐416, Denver, Colo., 1976.
2.
American Institute of Steel Construction, Proposed Load and Resistance Factor Design Specification for Structural Steel Buildings, AISC, Chicago, Ill., 1983.
3.
American National Standard Minimum Design Loads for Buildings and Other Structures, ANSI A58.1‐1982, American National Standards Institute, New York, N.Y., 1982.
4.
American Society for Testing and Materials, “Standard Methods for Static Tests of Timbers in Structural Sizes,” ASTM D 198‐78, Annual Book of ASTM Standards, Vol. 04.09, Philadelphia, Pa., 1983.
5.
American Society of Civil Engineers, Minutes of ASCE Committee on Wood Meeting, Oct. 19, Houston, Tex., 1983.
6.
Bulleit, W. M., “Relative Reliability of Dimension Lumber in Bending,” Journal of Structural Engineering, ASCE, Vol. 111, No. 9, Sep., 1985, pp. 1948–1963.
7.
Ditlevsen, O., “Principle of Normal Tail Approximation,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. 6, Jun., 1981, pp. 1131–1208.
8.
Doyle, D. V., and Markwardt, J. J., “Properties of Southern Pine in Relation to Strength Grading of Dimension Lumber,” Research Paper FPL64, Forest Products Laboratory, U.S. Department of Agriculture, Madison, Wis., Jul., 1966.
9.
Doyle, D. V., and Markwardt, J. J.; “Tension Parallel‐to‐Grain Properties of Southern Pine Dimension Lumber,” Research Paper FPL84, Forest Products Laboratory, U.S. Department of Agriculture, Madison, Wis., Dec., 1967.
10.
Ellingwood, B., et al., Development of a Probability Based Load Criterion for American National Standard A58, National Bureau of Standards, Washington, D.C., Jun., 1980.
11.
Hasofer, A. N., and Lind, N. C., “Exact and Invariant Second Moment Code Format,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. 1, Jan., 1974, pp. 111–121.
12.
Hoyle, R. J., Jr., Galligan, W. L., and Haskell, J. H., “Characterizing Lumber Properties for Truss Research,” Proceedings of the Metal Plate Wood Truss Conference, Forest Products Research Society, Madison, Wis., 1979, pp. 32–64.
13.
Littleford, T. W., “Flexural Properties of Dimension Lumber from Western Canada,” Report VP‐X‐179, Western Forest Products Laboratory, Vancouver, British Columbia, Canada, Jul., 1978.
14.
MacGregor, J. G., “Load and Resistance Factors for Concrete Design,” American Concrete Institute Journal, Vol. 80, No. 4, Jul.–Aug., 1983, pp. 279–287.
15.
McGowan, W. M., “Parallel‐to‐Grain Tensile Properties of Dimension Lumber from Several Western Canadian Species,” Western Forest Products Laboratory, VP‐X‐172, Vancouver, British Columbia, Canada, 1977.
16.
McGowan, W. M., “Parallel‐to‐Grain Tensile Properties of Visually Graded 2 by 6 Douglas‐Fir,” Western Forest Products Laboratory, VP‐X‐46, Vancouver, British Columbia, Canada, 1968.
17.
National Forest Products Association, National Design Specification for Wood Construction, NFPA, Washington, D.C., 1982.
18.
National Forest Products Association, Design Values for Wood Construction, A Supplement to the 1982 edition of National Design Specification, NFPA, Washington, D.C., Mar., 1982.
19.
Pellicane, P. J., “Goodness‐of‐Fit Analysis for Lumber Data,” Wood Science and Technology, Vol. 19, 1985, pp. 117–129.
20.
Rackwitz, R., and Fiessler, B., “Structural Reliability Under Combined Random Load Sequences,” Computers and Structures, Vol. 9, No. 5, May, 1978, pp. 489–494.
21.
Shinozuka, M., “Basic Analysis of Structural Safety,” Journal of Structural Engineering, ASCE, Vol. 109, No. 3, Mar., 1983, pp. 721–740.
22.
Throft‐Christensen, P., and Baker, M. J., Structural Reliability Theory and its Application, Springer‐Verlag, New York, N.Y., 1982.
23.
Wood, L. W., “Relation of Strength of Wood to Duration of Loads,” U.S. Forest Products Laboratory, Report No. 1916, Madison, Wis., 1951.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 5May 1987
Pages: 1079 - 1091

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Published online: May 1, 1987
Published in print: May 1987

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William M. Bulleit, M. ASCE
Asst. Prof., Dept. of Civ. Engrg., Michigan Tech. Univ., Houghton, MI 49931
John G. Ernst
Engr., Granger Engrg., Inc., Gaylord, MI 49735

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