Abstract
The paper describes the problem of the reliability analysis for individual reinforced concrete (RC) beams by the rebar strength criterion in cross section with a normal crack. It is proposed to evaluate the stress in the rebar by measurements of the crack width at the level of the rebar using the functional dependence of the crack width and the strain (deformation) in the reinforcement. It is also proposed to replace the modulus of elasticity of steel reinforcement on the secant modulus of elasticity, taking into account the increased reinforcement strain in cross section with crack. The work considers two options of the crack width in beam: less and greater than the ultimate crack width. The reliability analysis of RC beams by the rebar strength is based on the possibility theory and fuzzy set theory by the reason of small statistical data from measurements on existing individual RC beams. The use of offered reliability analysis methods will allow preventing the failures of reinforced concrete beams and in some cases to obtain economic benefit from the possibility of further operation of RC beams with cracks, even with a crack width more than ultimate value.
Highlights
Mechanical safety is the state of buildings and structures in which there is no unacceptable risk of a structural failure
Consider the reliability analysis of reinforced concrete beam according to the mathematical model (4) by the theory of possibility approach [13] using the Zadeh’s principle from the fuzzy sets theory [14]
The reliability of a reinforced concrete beam as the mechanical system should be estimated by the n theorem of probabilities multiplication as P = Pi, i where Pi is the probability of non-failure by i-criterion of limit state
Summary
Mechanical safety is the state of buildings and structures in which there is no unacceptable risk of a structural failure. General principles of structural reliability are regulated by Eurocode 0 and International Standard “General principles on reliability of structures”. The failures of structures, including reinforced concrete beams and slabs, testify to the insufficient implementation of methods for the reliability analysis of structures during their inspection. It shows the lack of methods and techniques for reliability (safety) analysis of structures on some limit state criteria. The measure of structural element reliability is probability of non-failure by all limit state criteria. The limit state criteria for reinforced concrete beams are: rebar and concrete strength, deflection, cracking, crack widths, etc. This article will consider the method for reliability analysis of existing RC beams with normal cracks on rebar strength
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