An 8-Nodes 3D Hexahedral Finite Element and an 1D 2-Nodes Structural Element for Timoshenko Beams, Both Based on Hermitian Intepolation, in Linear Range

The following article presents the elaboration and results obtained from a 3D finite element, of 8-node hexahedron type with 6 degrees freedom (DOF) per node (48 DOF element) based on third degree Hermitian polynomials, 2-node structural (12 element), polynomials theory Timoshenko for beams. This has two purposes; first one is formulation element capable capturing bending effects, second to verify whether it possible obtain deformation beam’s cross section member beam type, deformations its axis. showed that FE was able reproduce satisfactory by simulating some cases beams different contour load conditions, obtaining errors between 1% 4% compared ANSYS software, educational version. Regarding reproduced were not as precise Hexa 8, presenting 6% 7% regard axis but error rounding 10% 20%.