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    Volume 48, Issue 5 (September 2020)

    Visual and MSR Grades of Lumber Are Not 2-parameter Weibulls and Why This May Matter

    (Received 9 July 2018; accepted 22 January 2019)

    Published Online: 2020

    CODEN: JTEVAB

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    Abstract

    It has been common practice to assume that a 2-parameter Weibull probability distribution is suitable for modeling lumber strength properties. Previous work has demonstrated theoretically and empirically that the modulus of rupture (MOR) distribution of a visual grade of lumber or of lumber that has been binned by modulus of elasticity (MOE) is not a 2-parameter Weibull. Instead, the tails of the MOR distribution are thinned via pseudo-truncation. Simulations have established that fitting 2-parameter Weibulls to pseudo-truncated data via either full or censored data methods can yield poor estimates of probabilities of failure. In this article, we support the simulation results by analyzing large In-Grade type data sets and establishing that 2-parameter Weibull fits yield inflated estimates of the probability of lumber failure when specimens are subjected to loads near allowable properties. In this article, we also discuss the censored data or tail fitting methods permitted under ASTM D5457, Standard Specification for Computing Reference Resistance of Wood-Based Materials and Structural Connections for Load and Resistance Factor Design.

    Author Information:

    Verrill, Steve P.
    United States Department of Agriculture Forest Service Forest Products Laboratory, Madison, WI

    Owens, Frank C.
    Department of Sustainable Bioproducts, Starkville, MS

    Kretschmann, David E.
    American Lumber Standard Committee, Frederick, MD

    Shmulsky, Rubin
    Department of Sustainable Bioproducts, Starkville, MS

    Brown, Linda S.
    Southern Pine Inspection Bureau, Pensacola, FL


    Stock #: JTE20180472

    ISSN:0090-3973

    DOI: 10.1520/JTE20180472

    Author
    Title Visual and MSR Grades of Lumber Are Not 2-parameter Weibulls and Why This May Matter
    Symposium ,
    Committee D07