The calculation method for an elastic plate with transverse shear deformation

Abstract

The article presents an improved plate finite element, taking into account transverse shear deformation. The transverse shear deformation is taken into account using parameters. The main dependence and the stiffness matrix of the finite element of the plate are found, taking into account the transverse shear deformations using the finite element method. The coordinate functions of a quadrilateral finite element are determined taking into account transverse shear deformation. An automated calculation of the plate was made using the finite element method. As an example, the bending of an elastic plate is shown, taking into account the deformations of the transverse shear. Numerical results of nodal vertical displacements, rotation angles, bending moments, torque, and transverse forces of an elastic plate are obtained in three cases. The results of the solution in three cases of an elastic plate are compared with each other. The calculation results are presented in tables and epures.