Abstract

The article illustrates the possibilities of the practical application of the ZI method [1 and 2] when calculating the strength of reinforced concrete beams. The article presents variants of description of the EN-2 regulation curvilinear diagram for concrete with reliability of 50 % by the ZI method with reliability of 50 %, 95 % and ~100 %. The article demonstrates how, when calculating the strength of normally and abundantly reinforced concrete beams by the ZI method, it is possible to do without the calculation of the limit value of the thickness of the concrete layer of the beam compression zone. This is important in the case of the calculation of the strength of abundantly reinforced beams. The method for calculating the strength of abundantly reinforced beams has been improved. When calculating strength, we also obtain actual values of stress-strain parameters at the crack. The tables provide data supporting the proposed innovations and facilitating calculations.

Highlights

  • The present article may be considered to be another new supplement to the monographs [1, 2]

  • This supplement deals with the resolution of issues of practical application of the ZI method that was developed by the author and presented in his monographs

  • The ZI method is suitable for the calculation of variously of reinforced structural members of different materials, for members with any kind of cross-section

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Summary

Introduction

The present article may be considered to be another new supplement to the monographs [1, 2]. This article focuses on the calculation of strength of reinforced concrete beams based on curvilinear stress-strain relationship c c for concrete presented in regulations [5,6,7]. To calculate strength of reinforced concrete beams, articles [4, 8] and supplements B and C to the monographs [1, 2] used the eurocode c c diagram described by the ZI method. In order to retain the integrity of the ultimate limit states method, this article offers relationships c c analogous to the ones used in EN-2 regulations Their reliability is not 50 %, but 95 % and ~100 %.

The main equations of the ZI method when a 3rd degree polynomial is used
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