Reliability-based Structural Safety Evaluation of Reinforced Concrete Members

Abstract

The strength of reinforced concrete members may vary from the calculated or the nominal strength due to variations in the material strength and dimensions of the element. Statistical descriptions of the variabilities in loads and strengths are required in all studies pertaining to the safety of reinforced concrete members.Therefore, this paper recommends a number of values for the coefficient of variation of concrete, reinforcement, dimension and load to be used in the probability analysis. Also, this study analyzes reinforced concrete members using the Advanced First Order Second Moment (AFOSM) method using the statistical characterization of variables. This study shows that Bayes' theorem is an effective tool for updating prior probabilities when the value of a random parameter is known. Finally, the results in this paper contribute to the limit state reliabilities implied in the current design of reinforced concrete elements.

Analysis and design of recycled glass bead sandwich panels in bending

“…( 10). Similar exercises have been conducted previously for hotrolled steel sections [41], stainless steel sections [42,45], concrete-filled steel elliptical hollow section beam-columns [46], slender steel elliptical hollow sections [47], reinforced-concrete structures [48,49], FRP laminates [50] and FRP-strengthened reinforced-concrete structural elements [51,52]; more detailed descriptions of the theoretical background to the methodology of these reliability analyses can be found in [45,48,53]. To the best of the author's knowledge, the reliability of structural elements containing particulate glass-polymer composites has not been assessed previously.…”

“…Since the required partial factor for the 4-8 mm bead cores is more onerous, it is recommended that panels containing such cores be used in scenarios where load resistance is not the primary criteria for functionality, e.g., single-storey or temporary structures. Although including additional experimental results and the results of numerical analyses, as has been done previously [46][47][48][49][50], in the dataset would lower the required design fractile factor and might reduce the variance of the errors, the measured variances in the material properties must also decrease substantially for there to be a significant reduction in the required partial factor. In the absence of other published literature, the present analysis assumes conservatively that the variances in material properties shown in Table 5 are representative of the population.…”

Numerical Simulation for 3d Printed Wall Structure During the Process of Printing Considering Uncertainty

“…The temporal changes and the randomness of the compressive strength are represented by random variables [30], generated from the normal distribution [25,26,27]. This random field is characterized statistically by three parameters defining its first moments, the mean, the standard deviation, and the correlation length.…”

“…Based on Wolfs et al [4] experimental result concrete density is taken as a random variable with normal distribution [25,26,27], the mean value of 2020 kg/m³, and the coefficient of variation is 1.96% for the determination of the compressive stress.…”