Use of the Lagrange interpolation polynomial to estimate the bending strength value of plywood

Abstract

In order to determine the bending strength of wood or wood-based panels, an experimental method is typically used to test samples of different sizes that involves bending or compression. However, such tests are expensive and time-consuming, so mathematical models are often applied that allow predicting the bending strength based on a smaller number of obtained test results. One such model is the Lagrange interpolation polynomial. The study discusses Lagrange’s interpolation model. Using the results of tests done on plywood of various thicknesses, approximates the bending strength of plywood for values that could not be tested directly and provides an estimate of strength for particular values.