Infinite Numerical Series Convergence Application to Slender Columns Mechanical Analysis

Resumo

A numerical series represents the sum of terms in a numerical sequence. If the quantity of its terms is
unknown, it constitutes an infinite series, and the sum of its terns must be obtained from the convergence analysis
procedure. The series used to approach the values of given function, must be of the infinite mode because, in such
cases, the quantity of terms that the series needs to attend such demand, is unpredictable. There are cases wherein
the solution of engineering problems that may be aided, directly, by the modeling based on approach for infinite
numerical series, as the slender columns analysis. The slender columns analysis cast by elastic and ductile material
has been based on the concept of critical load. Such modeling version is not suitable to mechanical analysis of
specimens cast by weak rupture pattern material, as the reinforced concrete, but even thus, some concepts involved
in such a formulation are used as a classificatory reference. The Mechanics of the Materials uses the physical
modeling capabilities in deriving the equations object of approach on the featured theme. The aim of this work is
the slender columns mechanical performance modeling through infinite numerical series convergence concept.