• Geomechanics and Engineering
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• 제6권2호
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• pp.99-115
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• 2014

Uncertainties in design variables and design equations have a significant impact on the safety of geotechnical structures like retaining walls and slopes. This paper presents a possible framework for obtaining the partial safety factors based on reliability approach for different random variables affecting the stability of a reinforced concrete cantilever retaining wall and a slope under static loading conditions. Reliability analysis is carried out by Mean First Order Second Moment Method, Point Estimate Method, Monte Carlo Simulation and Response Surface Methodology. A target reliability index ${\beta}$ = 3 is set and partial safety factors for each random variable are calculated based on different coefficient of variations of the random variables. The study shows that although deterministic analysis reveals a safety factor greater than 1.5 which is considered to be safe in conventional approach, reliability analysis indicates quite high failure probability due to variation of soil properties. The results also reveal that a higher factor of safety is required for internal friction angle ${\varphi}$, while almost negligible values of safety factors are required for soil unit weight ${\gamma}$ in case of cantilever retaining wall and soil unit weight ${\gamma}$ and cohesion c in case of slope. Importance of partial safety factors is shown by analyzing two simple geotechnical structures. However, it can be applied for any complex system to achieve economization.

• 산업기술연구
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• 제28권B호
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• pp.149-156
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• 2008

A reliability model of Level II AFDA is developed to analyze the stability of armor units on the sloped coastal structures. Additionally, the partial safety factors of random variables related to armor units can be straightforwardly evaluated by applying the inverse-reliability method in which influence coefficients and uncertainties of random variables, and target probability of failure are combined directly. In particular, a design equation for armor units is derived in terms of the same criteria as deterministic design method in order to apply the reliability-based design method of Level I without some understanding to the reliability analysis. Finally, it is confirmed that several results redesigned by the reliability-based design method of Level I have satisfactorily agreement with results of CEM as well as those of Level II AFDA.

• 산업기술연구
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• 제28권B호
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• pp.157-165
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• 2008

Level II AFDA and Level III MCS reliability models are applied to analyze the stability of armor units on trading and coastal harbors in Korea. Hudson's formula and Van der Meer's formula are used in this reliability analysis. Also, probability density functions of reliability index and probability of failure are derived by the additional analysis. In addition, the partial safety factors of all harbors related to armor units can be straightforwardly evaluated by the inverse-reliability method. The upper and lower limits and average level of partial safety factors can be statistically investigated with the results of all cases applied in this paper. Therefore, it may be possible to design armor units of new breakwaters including the uncertainty of random variable and target level by using the present results.

• 한국해안·해양공학회논문집
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• 제21권4호
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• pp.278-289
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• 2009

본 연구에서는 직립 방파제의 케이슨 활동에 대한 목표 신뢰도 지수와 부분안전계수를 산정하였다. 기존 방파제의 신뢰도 지수의 평균값을 보통의 안전도를 갖는 방파제에 대한 목표 신뢰도 지수로 제안하였다. 또한 국내외 방파제의 해석에 기초하여 높은 안전도 또는 낮은 안전도의 목표 신뢰도 지수도 제안하였다. 다음에는 국내 12개 방파제 단면에 대해 각각 계산한 부분안전계수를 평균하여 각 안전도에 대한 부분안전계수를 제안하였다. 본 연구에서 제안한 부분안전계수를 사용하여 계산한 신뢰도 지수가 JPHA(2007)의 완경사 결과와 급경사 결과 사이에 위치함을 보임으로써 제안된 부분안전계수의 적합성을 부분적으로 검증하였다. 제안된 부분안전계수를 이용하여 기존 방파제의 케이슨 폭과 신뢰도 지수를 역으로 계산하였다. 결정론적 설계법으로 설계된 기존 방파제의 신뢰도 지수가 큰 변동 폭을 보이는 반면, 부분안전계수법으로 계산된 값은 작은 변동 폭을 보인다. 이는 목표 파괴확률이 주어졌을 때 부분안전계수법으로 일관성 있는 설계를 할 수 있음을 의미한다.

• Advances in concrete construction
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• 제13권 2호
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• pp.191-198
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• 2022

FIB is introduced as the sole guideline for the design purpose that results in a practical relationship for the torsional capacity of concrete beams strengthened with carbon fiber-reinforced polymer (CFRP). This study applies first-order reliability method to assess the reliability evaluation of the torsional capacity of CFRP-strengthened beams on the basis of FIB guidelines. In terms of steel reinforcement losses, this study applies a corrosion model to investigate the ceaseless deterioration of the existing structure. Hence, the average of reliability indices varies between 2.68 and 2.80, indicating the reliability viewpoint of the design methodologies. The average values are somehow low compared to the target values of reliability (3.0 or 3.5) applied in the calibration stage of the FIB guideline. In this way, the partial safety factors may change in the forthcoming guideline revisions. For this aim, the reliability of strengthening ratio was applied to assess the variation in the average value of the reliability index with different partial safety factors. The performance of parametric study for the factor proved that minimum values of 1.60 and 2.32 are required for target values of reliability (3.0 and 3.5), respectively.

• Structural Engineering and Mechanics
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• 제65권6호
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• pp.751-760
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• 2018

Damages in concrete structures due to aging and other factors could be a serious and immense matter. Making the best selection of the most viable and practical repairing and strengthening techniques are relatively difficult tasks using traditional methods of structural analyses. This is due to the fact that the traditional methods used for assessing aging structure are not fully capable when considering the randomness in strength, loads and cost. This paper presents a reliability-based methodology for assessing reinforced concrete members. The methodology of this study is based on probabilistic analysis, using statistics of the random variables in the performance function equations. Principles of reliability updating are used in the assessment process, as new information is taken into account and combined with prior probabilistic models. The methodology can result in a reliability index ${\beta}$ that can be used to assess the structural component by comparing its value with a standard value. In addition, these methods result in partial safety factor values that can be used for the purpose of strengthening the R/C elements of the existing structure. Calculations and computations of the reliability indices and the partial safety factors values are conducted using the First-order Reliability Method and Monte Carlo simulation.

• 한국해안·해양공학회논문집
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• 제21권3호
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• pp.224-229
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• 2009

케이슨식 안벽의 Level I 신뢰성설계를 위한 부분안전계수를 산정하였다. 일계신뢰도법에 의한 부분안전계수는 한계상태함수의 확률변수에 대한 민감도, 목표신뢰도지수, 확률특성치 및 설계특성치 등의 함수로써 표현하였으며 전면조위와 잔류수위에 대해서는 현행설계법과의 연계성을 유지하기 위하여 수정부분안전계수를 새롭게 정의하였다. 수치해석을 통하여 목표신뢰도지수에 대한 부분안전계수를 산정하였으며 지진계수의 확률분포는 극치분포를 사용하였다. 지진계수의 설계치를 적용함에 있어서 재현주기가 길수록 부분안전계수가 작게 산정됨을 확인하였다.

• 한국해안·해양공학회논문집
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• 제20권4호
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• pp.355-362
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• 2008

경사식 방파제에서 파랑과 구조물의 상호작용에 의하여 발생되는 처오름을 확률론적으로 해석할 수 있는 Level II AFDA 신뢰성 모형이 제안되었다. Level III MCS 모형을 함께 적용하여 본 연구에서 제안된 모형이 만족스럽게 검증되었다. 또한 목표파괴확률과 각 확률변수들의 통계적 특성 그리고 영향계수를 이용하는 역해석 기법을 적용하여 처오름과 관련된 각 확률변수들의 부분안전계수를 산정할 수 있었다. 특히 Level I 신뢰성 설계법을 쉽게 적용할 수 있도록 처오름의 설계기준식을 현행의 결정론적 설계법과 동일한 형태로 유도하였다. 마지막으로 본 연구에서 제시된 부분안전계수를 이용하여 Level I 신뢰성 설계법으로 재 설계한 결과가 CEM(2006) 및 Level II 신뢰성 설계법의 결과와 만족스럽게 비교되었다.

• 대한토목학회논문집
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• 제7권4호
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• pp.1-12
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• 1987

LRFD 설계형식의 개별안전계수를 확률이론에 의하여 구할 때 주로 AFOSM 방법이 이용되어 왔다. 그러나 이 방법에 의해 구한 하중 및 저항계수를 사용하면 결과적인 신뢰성지수는 목표 신뢰성지수와 다를 수 있다. 최근 Ayyub 등이 제안한 Reliability-Conditioned(RC) 방법은 목표 신뢰성지수에 부합하지만 계산의 신속성 및 일관적 체계를 유지할 수 없다. 본 연구에서 제안한 RC/AFOSM 조합방법을 이용하면 계산의 체계가 일관적이고, 다양한 설계조건에 대하여 거의 일정한 개별안전계수를 결정할 수 있으며 이로부터 결과되는 신뢰성지수도 목표 신뢰성지수에 매우 근접하다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2007년도 춘계학술대회A
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• pp.309-314
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• 2007

Recently, the LRFD and the PSF based on structural reliability assessment have been applied to NPP designs in behalf of the conventional deterministic design methods. In the risk-informed structural integrity, it is especially possible to optimize design procedures considering cost, manufacturing and maintenance because the structural reliability concepts have confirmed the reliability for which a designer aims. Generally, in order to evaluate the PSF, the LRFD which is the design concept for evaluating safety factors respectively on the limit state function including load and resistance. This study certifies the concept and its applications of the PSF using the LRFD based on the structural reliability engineering.