Reliability of reinforced concrete beams in limit state of cracking— failure rate analysis approach

1989 ◽  
Vol 22 (4) ◽  
pp. 269-279 ◽  
Author(s):  
Prakash Desayi ◽  
K. Balaji Rao
Keyword(s):  
Reinforced Concrete ◽  
Failure Rate ◽  
Concrete Beams ◽  
Limit State ◽  
Reinforced Concrete Beams ◽  
Analysis Approach ◽  
Rate Analysis

Reliability of reinforced concrete beams in serviceability limit state via microprestress-solidification theory, a structural health monitoring strategy

2022 ◽  
pp. 146442072110690
Author(s):  
Mohsen Ghabdian ◽  
Seyed BB Aval ◽  
Mohammad Noori ◽  
Wael A Altabey
Keyword(s):  
Reinforced Concrete ◽  
High Temperature ◽  
Structural Health Monitoring ◽  
Health Monitoring ◽  
Concrete Beams ◽  
Limit State ◽  
Reinforced Concrete Beams ◽  
Nonlinear Creep ◽  
Structural Health ◽  
Serviceability Limit State

An important and critical area within the broad domain of structural health monitoring, as related to reinforced civil and mechanical structures, is the assessment of creep, shrinkage, and high-temperature effects on reliability and serviceability. Unfortunately, the monitoring and impact of these inherent mechanical characteristics and behaviors, and subsequent impact on serviceability, have rarely been considered in the literature in structural health monitoring. In this paper, the microprestress-solidification creep theory for beams is generalized for the simultaneous effect of linear/nonlinear creep, shrinkage, and high temperature in a reliability framework. This study conducts a systematic time-dependent procedure for the reliability analysis of structures using a powerful nanoscale method. It must be noted that this paper aims to extend the previously developed microprestress-solidification method in a health monitoring reliability-based framework with a close look at a nonlinear creep, parameters affecting creep, and long-time high temperature. A finite element approach is proposed where creep, shrinkage, temperature, and cracking are considered using strain splitting theory. First, the model performance was evaluated by comparing the results with the experimental test available in the literature in the case of creep and shrinkage. Then, the simultaneous effect of creep, shrinkage, and temperature was compared with experimental results obtained by the authors. Reliability analysis was applied to reinforced concrete beams subjected to sustained gravity loading and uniform temperature history in order to calculate exceedance probability in the serviceability limit state. It was found that the exceedance probability of reinforced concrete beams was dependent on the shear span-to-depth ratio. In the serviceability limit state, exceedance probabilities of 0.012 and 0.157 were calculated for the span-to-depth ratios of 1 and 5, respectively. In addition, it was shown that temperature plays an important role in the reliability of reinforced concrete beams. A 4.27-fold increase was observed in the case of moderate to high temperature. Finally, for three different load levels of 40%, 70%, and 80%, the exceedance probabilities were 0.156, 0.328, and 0.527, respectively, suggesting that load level is another key parameter affecting the reliability of reinforced concrete beams. It is thus concluded these fundamental phenomenological studies should be further considered as part of the broad field of structural health monitoring.

scholarly journals Design of reinforced concrete beams with steel fibers in the ultimate limit state

2018 ◽  
Vol 11 (5) ◽  
pp. 997-1024
Author(s):  
T. E. T. BUTTIGNOL ◽  
J. F. FERNANDES ◽  
T. N. BITTENCOURT ◽  
J. L. A. O. SOUSA
Keyword(s):  
Reinforced Concrete ◽  
Concrete Beams ◽  
Limit State ◽  
Fiber Reinforced Concrete ◽  
Steel Fibers ◽  
Experimental Results ◽  
Reinforced Concrete Beams ◽  
Ultimate Limit State ◽  
Bending Tests

Abstract This paper carries out a design analysis of reinforced concrete beams with steel fibers following the fib Model Code 2010 (MC 2010) procedures. The values obtained from the design calculations are compared with the experimental results of reinforced concrete beams with 20kg/m3 and 60 kg/m3 of steel fibers submitted to four-point bending tests. In the first part, the procedures for the classification and characterization of the material are explained. The experimental results of three-point bending tests performed on notched steel fiber reinforced concrete (FRC) beams following EN 14651 procedures are described. Moreover, the characterization of the FRC beams according to MC 2010, are carried out. In the second part, the flexural design of reinforced concrete beams with steel fibers, according to MC 2010, is carried out. A sectional analysis is performed in order to obtain the moment-curvature and the force-vertical displacement curves. The theoretical values are compared with the experimental results. Besides, a linear statistic analysis by means of the Rule of Mixture is carried out in order to analyze the variation of the flexural capacity of the reinforced beams with different amounts of steel fibers. The results demonstrated that the design rules described in the MC 2010 are on the safe side. The flexural resistance of concretes with different amounts of fiber incorporation can be determined by the Rule of Mixture, which has shown a high correlation factor (R2) with the experimental values.

scholarly journals RELIABILITY ANALYSIS OF EXISTING REINFORCED CONCRETE BEAMS ON NORMAL CRACK LENGTH CRITERION

2017 ◽  
Vol 13 (2) ◽  
pp. 56-63 ◽  
Author(s):  
Vladimir S. Utkin ◽  
Sergey A. Solovyev
Keyword(s):  
Reinforced Concrete ◽  
Crack Length ◽  
Reliability Analysis ◽  
Concrete Beams ◽  
Limit State ◽  
Possibility Theory ◽  
Technical Condition ◽  
Reinforced Concrete Beams ◽  
Numerical Examples ◽  
Tensile Zone

The article discusses a problem of the crack length influence on the reliability (safety) of reinforced concrete beams under conditions of limited statistical information about controlled parameters in the design mathematical models of limit state. Numerical examples revealed the possibility of practical application of the reliability analysis methods for inspections and determining the category of the technical condition of buildings and structures. The article offers the methods for reliability (probability of non-failure) analysis and the residual resource of reinforced concrete beams according to the criterion of the normal crack length in the tensile zone of reinforced concrete beams. The methods of reliability analysis constructed on the basis of possibility theory and fuzzy set theory. The algorithms of reliability analysis of reinforced concrete beams are presented on numerical examples of reliability analysis.

scholarly journals Calculation of reliability of reinforced concrete beams by criterion of durability of concrete in section with the normal crack

2016 ◽  
Vol 4 ◽  
pp. 4-8
Author(s):  
Utkin V.S. ◽  
Karpushova K.A.
Keyword(s):  
Mathematical Model ◽  
Reinforced Concrete ◽  
Concrete Beams ◽  
Limit State ◽  
Longitudinal Axis ◽  
Reinforced Concrete Beams ◽  
Concrete Durability ◽  
Limited Volume ◽  
Method Of Calculation ◽  
Durability Of Concrete

In work the new method of calculation of reliability of reinforced concrete beams by criterion of durability of concrete in the compressed beam zone in crack arrangement section in the stretched concrete zone is considered. Novelty is that tension in beam concrete actually is determined by results of measurement of width of disclosure of a crack at the level of the center of working fittings. Besides in mathematical model of a limit state on durability of concrete other controlled parameters determined by measurements (height of the compressed beam zone, beam concrete durability) are used. Use of approach for calculations of reliability of a beam on the basis of the theory of opportunities and the theory of indistinct sets in connection with the limited volume of information on random variables belongs to novelty. Work is of interest to the experts ensuring safety of operation of the bearing reinforced concrete beams in the presence in them a beam, normal to a longitudinal axis, of the opened crack in the stretched concrete zone. For practical use the example of calculation of reliability is given.

scholarly journals Influence of reinforcement's corrosion into hyperstatic reinforced concrete beams: a probabilistic failure scenarios analysis

2015 ◽  
Vol 8 (4) ◽  
pp. 479-490
Author(s):  
G. P. PELLIZZER ◽  
E. D. LEONEL ◽  
C. G. NOGUEIRA
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Failure Modes ◽  
Concrete Beams ◽  
Limit State ◽  
Simulation Method ◽  
Reinforced Concrete Beam ◽  
Reinforced Concrete Beams ◽  
Individual Probability ◽  
Failure Tree

AbstractThis work aims to study the mechanical effects of reinforcement's corrosion in hyperstatic reinforced concrete beams. The focus is the probabilistic determination of individual failure scenarios change as well as global failure change along time. The limit state functions assumed describe analytically bending and shear resistance of reinforced concrete rectangular cross sections as a function of steel and concrete resistance and section dimensions. It was incorporated empirical laws that penalize the steel yield stress and the reinforcement's area along time in addition to Fick's law, which models the chloride penetration into concrete pores. The reliability theory was applied based on Monte Carlo simulation method, which assesses each individual probability of failure. The probability of global structural failure was determined based in the concept of failure tree. The results of a hyperstatic reinforced concrete beam showed that reinforcements corrosion make change into the failure scenarios modes. Therefore, unimportant failure modes in design phase become important after corrosion start.

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