# RELIABILITY ANALYSIS OF REINFORCED CONCRETE BEAMS WITH SHEAR CRACKS ON REBAR STRENGTH

## Abstract

The article describes methods for reliability analysis of reinforced concrete beams with shear cracks by the criterion of the rebar strength. Reliability analysis is conducted on the basis of the provisions of reliability theory and fuzzy set theory to account for the limited statistical information on con- trolled parameters. We considered two design cases with different numbers of fuzzy variables in the design mathematical models of a limit state. Numerical examples of reliability analysis are given. The proposed methods may in some cases contribute to accidents prevention in reinforced concrete beams, and in other cases get the economic effect from the rejection of strengthening or replacement of beams, even when the crack width exceeds the ultimate value

## Keywords

### V S UTKIN

Vologda State University, Vologda

Author for correspondence.
Email: utkinvogtu@mail.ru

Doctor of science in engineering, Professor of civil engineering department of Vo- logda State University, email: utkinvogtu@mail.ru

г. Вологда, ул. Ленина, д. 15

### S A SOLOVYEV

Vologda State University, Vologda

Email: ser6sol@yandex.ru

post-graduate student of civil engineering department of Vologda State University, email: ser6sol@yandex.ru

г. Вологда, ул. Ленина, д. 15

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Copyright (c) 2017 Utkin V.S., SOLOVYEV S.A.