Finite difference method application in design of foundation girder of variable cross-section loaded on ends

Abstract

Deflection of foundation girder supported by the deformable base has been defined by the system of differential equations, where the differential equation of the elastic line of the girder is of the fourth order. The most convenient solution of the problem is application of numerical procedures, in this case it is the finite difference method. In the paper, the mentioned method is applied in the special case of foundation girder of variable cross section loaded by arbitrary load on its ends.

Keywords

• foundation girder
• finite differences method
• matrix equation
• load