APPLICATION OF MACLAURIN SERIES IN STRUCTURAL ANALYSIS

Abstract

In the simple theory of flexure of beams, the slope, bending moment,shearing force, load and other quantities are functions of a derivative of y with respect to x. It is shown that the elastic curve of a transversely loaded beam can be represented by the Maclaurin series. Substitution of the values of the derivatives gives a direct solution of beam problems.In this paper the method is applied to derive the theorem of three moments and slope deflection equations. The method is extended to the solution of a rigid portal frame. Finally the method is applied to deduce three results on which the moment distribution method of analysing rigid frames is based.