Reliability-based design of reinforced concrete columns

Mirza, Sher Ali

doi:10.1016/0167-4730(96)00010-0

Cited by 39 publications

(19 citation statements)

References 2 publications

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“…Mirza (1996) used the resistance formulas of RC column in ACI code to perform reliability calibrations to obtain a resistance factor for design purpose. It indicates that the resistance formulas in code as well as accurate resistance simulation method (e.g.…”

Section: Failure Function With Random Eccentricitymentioning

confidence: 99%

Robust Analysis of Current Reliability-Based Design Method for RC Columns with Tension Failure under Random Eccentricity.

Jiang¹,

Lü²,

Yang³

2014

Vulnerability, Uncertainty, and Risk

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The current methods for designing reinforced concrete (RC) columns are mainly based on the reliability calibration under fixed eccentricity criterion. However, for an RC column under combined vertical gravity load and horizontal earthquake action, its eccentricity would be random due to probability properties of these loads. According to the capacity models in Chinese code, the failure function with random eccentricity is obtained and found to be a complex one, which is largely different from the one obtained by the fixed eccentricity criterion. Based on the prescribed statistical models of relevant variables, the differences of failure probability are analyzed for RC columns with different load effect ratios and different strong column factors by the Monte Carlo method. Compared with the fixed eccentricity case, such differences under random eccentricity would be much larger among different cases. Thus, the current design method of RC column is hard to achieve a robust design.

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Section: Failure Function With Random Eccentricitymentioning

confidence: 99%

Robust Analysis of Current Reliability-Based Design Method for RC Columns with Tension Failure under Random Eccentricity.

Jiang¹,

Lü²,

Yang³

2014

Vulnerability, Uncertainty, and Risk

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“…Assuming that a fixed eccentricity is most prevalent in the previous studies (Israel et al , 1987; Mirza, 1987, 1996; Mirza and MacGregor, 1989; Szerszen et al , 2005), Hong and Zhou (1999) used the criterion of shortest distance (or shortest load path) from the initial loading in their study. They used the FORM method instead of the Monte Carlo simulation method to evaluate RC columns' reliability.…”

Section: Limit State Function and Failure Criterionmentioning

confidence: 99%

“…Since the adoption of limit state design method, many studies have been conducted in order to calibrate the load and resistance factors (Galambos et al , 1982a,b; MacGregor, 1983; Tabsh, 1997). Reliability of reinforced concrete column design has been one of the research topics studied (Israel et al , 1987; Mirza, 1987, 1996; Mirza and MacGregor, 1989). The existence of interaction between axial force and moment requires that the safety criteria of columns be defined as interaction curves or design surfaces.…”

Section: Introductionmentioning

confidence: 99%

Effect of relative intensity of wind load on the RC column reliability in tall buildings

Baji

Ronagh

2010

Structural Design Tall Build

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Wind loads are very important in the design of tall buildings as often the load combinations containing the wind load govern the design. As for reliability, however, because of the higher inherent uncertainty in the wind load in comparison to the gravity load, safety indices decrease as the ratio of wind load to gravity load increases. The safety indices in RC columns depend on the nominal wind to gravity load ratios. Due to the interaction between bending moment and axial force, a single ratio cannot be defi ned, because the eccentricity is not similar for wind and gravity loads. In this paper, the ratio of wind to gravity loads is considered separately for axial force and bending moments. Unlike conventional approach, here it is assumed that the wind and gravity loads' eccentricities are not equal, and the fi nal load eccentricity used in either the design or the reliability analysis is a function of applied loads. The results demonstrate that the sensitivity of RC columns' safety indices to bending moment ratios is higher than that of axial force ratios. Furthermore, the variation of RC columns' safety indices with a low rebar percentage is very different from RC columns with high rebar percentages.

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“…For a column only subjected to the vertical loads (e.g. dead load and live load), the fixed eccentricity criterion can usually be applied, because the random properties of eccentricity are not noticeable in this case, and the column reliability is high (Hong and Zhou 1999;Mirza 1996;Stewart and Attard 1999;Breccolotti and Materazzi 2010). However, for a column subjected to a horizontal load and a vertical load together (e.g.…”

Section: Introductionmentioning

confidence: 99%

Robustness of Load and Resistance Design Factors for RC Columns with Wind-Dominated Combination Considering Random Eccentricity

et al. 2017

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Based on the capacity models in the 2008 edition of the American Concrete Institute (ACI) Standard Building Code Requirements for Structural Concrete, a more realistic limit state function is built for reinforced concrete (RC) columns with random eccentricity. Then, we discuss the applicability of the load and resistance factors in the code, which is mainly based on reliability calibrations with a fixed eccentricity criterion. Taking the wind dominated combination as an example, representative cases are established by selecting typical values of four related design parameters. Using the load and resistance models in previous reliability calibration of the code, the probabilistic distribution of eccentricity and the statistics of column resistance are analyzed for each case. The analysis indicates that the possible eccentricity shows a scatter over a large range, and the probabilistic model of column resistance varies from case to case, which is largely different from the constant resistance model assumed in previous reliability calibration. With Monte Carlo simulation (MCS), the column reliability is calculated and obtained for different cases. The results

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Reliability-based design of reinforced concrete columns

Cited by 39 publications

References 2 publications

Robust Analysis of Current Reliability-Based Design Method for RC Columns with Tension Failure under Random Eccentricity.

Robust Analysis of Current Reliability-Based Design Method for RC Columns with Tension Failure under Random Eccentricity.

Effect of relative intensity of wind load on the RC column reliability in tall buildings

Robustness of Load and Resistance Design Factors for RC Columns with Wind-Dominated Combination Considering Random Eccentricity

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