NUMERICAL METHODOLOGY FOR MODULUS OF ELASTICITY CALCULATING OF ROUND WOODEN BEAMS: PINUS ELLIOTTII

Due to its abundance and versatility, wood always has been considered an excellent structural material. In view of this, several studies involving wood have been developed, in order to deepen knowledge and improve its structural design. Thus, this work aims to present a numerical calculation methodology for obtaining the longitudinal modulus of elasticity, focusing only on round beams. For this, Finite Element Method and Least Squares Method were used, considering the influence of irregularities in pieces geometry by linear approximations along the finite elements. In addition to these two methods, an analytical numerical model (simplified 1D) was used, which considers a single diameter value and a numerical one (3D), which allows the round structural elements geometry to be delineated. To obtain modulus of elasticity, it was adopted the three-point static bending test, using 24 round beams of Pinus elliotti. Confidence interval of the difference between longitudinal modulus of elasticity obtained by the numerical model 1D (Eo) and analytical procedure (Edeq) revealed statistical equivalence, once small conicity were observed in the tested round beams. Using Eo in simulations of plumb elements in three dimensions led to equivalent displacements, proving the numerical model 1D efficiency, showing that the latter is more interesting because it requires less computational effort.