Optimal Modeling of Knots in Wood A model has been developed to modify Euler-Bernoulli beam theory for wooden beams, using visible properties of wood knot-defects. Treating knots in a beam as a system of two ellipses that change the local bending stiffness has been shown to improve the fit of a theoretical beam displacement function to edge-line deflection data extracted from digital imagery of experimentally loaded beams. In addition, an Ellipse Logistic Model (ELM) has been proposed, using L1-regularized logistic regression, to predict the impact of a knot on the displacement of a beam. By classifying a knot as severely positive or negative, vs. mildly positive or negative, ELM can classify knots that lead to large changes to beam deflection, while not over-emphasizing knots that may not be a problem. Using ELM with a regression-fit Young's Modulus on three-point bending of Douglass Fir, it is possible estimate the effects a knot will have on the shape of the resulting displacement curve.autSexton, Thurston BryantthsTakahashi, TimothydgcJones, DonaldctbBarrett, The Honors CollegectbMechanical and Aerospace Engineering ProgramctbSchool of Mathematical and Statistical SciencesctbSchool of Human Evolution and Social Changeenghttps://hdl.handle.net/2286/R.I.2886842 pages115093930571628716197136442tbsextonIn Copyright2015-05TextMaterials ScienceMechanical EngineeringMachine LearningOptimization