METHODS FOR ANALYZING THE RELIABILITY OF BUILDING STRUCTURES USING UNCERTAINTY AND PROBABILITY THEORIES

Abstract

In the design of buildings and structures, analyzing the reliability of
construction elements subjected to various types of loads is particularly important due
to essential durability requirements for safety. With the ongoing harmonization and
implementation of European technical standards in Ukraine for calculating load-
bearing structures, along with advancements in mathematical sciences, reliability
theory calculations are being continuously improved. This paper proposes a method for
analyzing structural reliability using the theory of randomness, which combines
probability and uncertainty theories to account for random uncertainty. The basics of
reliability calculations are briefly outlined, and the proposed framework for evaluating
standard uncertainty based on repeated measurements is described in detail.