# VANTAGENS COMPUTACIONAIS DA UTILIZAÇÃO DA MATRIZ DE RIGIDEZ DE ̃ELEMENTOS SEGMENTADOS NA ANÁLISE NÃO LINEAR DE ELEMENTOS DE CONCRETO ARMADO TIPO PÓRTICO

## Palavras-chave:

physical non-linear analysis, moment-curvature relationship, stiffness reduction## Resumo

A segmented element can be defined as a structural member that is composed of segments

whose properties cannot be expressed as a continuous function and vary randomly throughout the element

(e.g. modulus of elasticity, cross section, length). The present work aimed to develop the stiffness matrix

of a segmented element to compare the computational performance of this in relation to the conventional

stiffness matrix. A simply supported reinforced concrete beam was analyzed linearly and not linearly.

The non-linear analysis with stiffness degradation was based on the moment-curvature relationship of

the cross section of the beam, where the stiffness of a segment depends on the bending moment acting at

the midpoint of it. The results confirmed that it is possible to significantly reduce the time of analysis of

a reinforced concrete structure using the stiffness matrix of a segmented element. The numerical models

were able to represent the behavior of the tested beam to values above 95% of the ultimate load