Deflections due to a Concentrated Load on a Cantilever Thick Plate of Finite Length for Gears

Abstract

This paper contains numerical solutions for the deflections due to a concentrated load of a finite length cantilever thick plate. New boundary conditions for the cantilever thick plate are : (a) the deflection along the elastically built-in edge is balanced by shearing forces along the edge, (w)_edge=k₂Q_v, and (b) the rotation of the elastically built-in edge is in direct proportion to the moment, (∂w/∂y)_edge=k₁M_v. Instead of the boundary conditions of built-in edge, new boundary conditions are applied to the method of finite differences, an approximate solution of the problem of a finite length of a cantilever thick plate. The numerical solutions of this method coincide with the experimental deflections of the cantilever thick plate like gear tooth.