Numerical Serie Convergence Applied to Columns Buckling 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 engineering
problems which may be solved, directly, by the modeling based on approach for infinite numerical series, as the
slender columns analysis case. 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.