• 제목/요약/키워드: Limit state analysis

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한계상태설계를 위한 단일 쇄석다짐말뚝의 목표신뢰도지수 (Target Reliability Index of Single Gravel Compaction Piles for Limit State Design)

  • 유영권;임희대;박준모
    • 한국지반환경공학회 논문집
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    • 제15권2호
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    • pp.5-15
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    • 2014
  • 목표신뢰도지수는 한계상태설계법에서 안전여유의 지표가 되며, 부분계수를 결정하는데 있어 매우 중요한 역할을 한다. 본 연구에서는 한계상태설계법에서 필요로 하는 목표신뢰도지수의 결정을 위하여 쇄석다짐말뚝이 적용된 6개소의 설계-시공사례를 조사하였다. 쇄석다짐말뚝의 주요 파괴모드인 팽창파괴에 대한 한계상태함수를 정의하고, 일계신뢰성해석법(FORM)을 이용하여 극한지지력, 이론식별, 신뢰도수준을 평가하였다. 현행 쇄석다짐말뚝의 신뢰도지수는 허용응력설계법에 의해 산정된 안전율과 비례하는 경향을 보였으며, 평균 신뢰도지수는${\beta}$=2.30으로 평가되었다. 신뢰성해석에 의해 평가된 신뢰도 수준과 기존 구조물 기초에 대한 목표신뢰도지수를 비교 분석한바, 쇄석다짐말뚝 기초는 말뚝기초 및 얕은기초에 비하여 비교적 낮은 안정성 수준이 요구되며, 쇄석다짐말뚝의 현재 신뢰도수준은 보강토옹벽, 쏘일네일링에서 제안된 목표신뢰도지수와 유사한 범위를 보이므로 쇄석다짐말뚝의 목표신뢰도지수를 ${\beta}_T$= 2.33으로 제안하였다.

전단띠 형성에 의한 원형접합판의 변형한계 해석 (Analysis of Forming Limit for Circular Bonded Sheet Metals by Shear Band Formation)

  • 정태훈
    • 한국공작기계학회논문집
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    • 제10권1호
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    • pp.127-132
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    • 2001
  • By the use of a similar numerical method as the forming limit strain by coating method of coated sheet metals is investigated, in which the FEM is applied and J2G(J2-Gotohs Corner Theory) is utilized as the plasticity constitutive equa-tion. Circular bonded sheet metals with dissimilar sheets on both surface planes are stretched in a plane -strain state, with various work-hardening exponent n-values and thicknesses of each layer. Processes of shear-band formation in such com-posite sheets are clearly illustrated. It is concluded that, it the bonded state, the higher limiting strain of one layer is reduced due to the lower limiting strain of the other layer and vice versa, and does not necessarily obey the rule of linear combination of the limiting strain of each layer weighed according thickness.

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구조 신뢰성 해석방법의 고찰 (A Comparative Study on Structural Reliability Analysis Methods)

  • 양영순;서용석
    • 전산구조공학
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    • 제7권1호
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    • pp.109-116
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    • 1994
  • 구조물의 신뢰도를 평가하는 방법을 살표보고 각각의 장.단점을 비교한다. 각 방법의 정확성을 평가하는 기준으로는 Crude Monte Carlo(CMC)방법을 택하여 Importance Sampling(IS)방법, 그리고 Directional Simulation(DS) 방법을 살펴보고 1차 근사방법은 현재 많이 사용되고 있는 Rackwitz-Fiessler(RF)방법, Chen과 Lind가 제안한 3-parameter방법(CL), Hohenbichler가 제안한 Rosenblatt 변환방법(RT)을 그리고 2차 근사방법은 Breitung이 제안한 곡률적합 포물선 (Curvature Fitted Paraboloid, CFP) 공식과 Kiureghian이 제안한 점적합 포물선(Point Fitted Paraboloid, PFP)공식, 그리고 Log-Likelihood Function을 이용하여 원변수공간에서 파괴확률을 구하는 2차 근사공식(LLF)을 비교한다. 그리고 한계상태식이 불명확할 때 효율적으로 사용할 수 있는 반응응답법(Response sufrace method, RSM)을 살펴본다. 각 방법의 효율성 특히 적용 가능성을 예제를 통해 해석한 결과 추출법의 경우는 DS방법이, 그리고 근사방법에서는 RSM방법이 효율적임을 알 수 있다.

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Estimating uncertainty in limit state capacities for reinforced concrete frame structures through pushover analysis

  • Yu, Xiaohui;Lu, Dagang;Li, Bing
    • Earthquakes and Structures
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    • 제10권1호
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    • pp.141-161
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    • 2016
  • In seismic fragility and risk analysis, the definition of structural limit state (LS) capacities is of crucial importance. Traditionally, LS capacities are defined according to design code provisions or using deterministic pushover analysis without considering the inherent randomness of structural parameters. To assess the effects of structural randomness on LS capacities, ten structural parameters that include material strengths and gravity loads are considered as random variables, and a probabilistic pushover method based on a correlation-controlled Latin hypercube sampling technique is used to estimate the uncertainties in LS capacities for four typical reinforced concrete frame buildings. A series of ten LSs are identified from the pushover curves based on the design-code-given thresholds and the available damage-controlled criteria. The obtained LS capacities are further represented by a lognormal model with the median $m_C$ and the dispersion ${\beta}_C$. The results show that structural uncertainties have limited influence on $m_C$ for the LSs other than that near collapse. The commonly used assumption of ${\beta}_C$ between 0.25 and 0.30 overestimates the uncertainties in LS capacities for each individual building, but they are suitable for a building group with moderate damages. A low uncertainty as ${\beta}_C=0.1{\sim}0.15$ is adequate for the LSs associated with slight damages of structures, while a large uncertainty as ${\beta}_C=0.40{\sim}0.45$ is suggested for the LSs near collapse.

인공신경망 기반의 한계상태함수를 이용한 사면의 신뢰성해석 (Reliability Analysis of Slopes Using ANN-based Limit-state Function)

  • 조성은;변위용
    • 한국지반공학회논문집
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    • 제23권8호
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    • pp.117-127
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    • 2007
  • 사면안정해석은 지반물성의 불확실성을 포함한 많은 불확실한 요인을 내포하는 지반공학적 문제이다. 본 연구에서는 상업용 유한차분해석 프로그램을 이용하여 확률론적 사면안정해석을 수행할 수 있는 절차를 제시하였다. 이 경우 한계상태함수가 명시적인 형태로 표현되지 않기 때문에 한계상태함수를 근사화하기 위하여 인공신경망기법을 활용한 응답면기법을 이용하였으며 파괴확률을 구하기 위해 일차 및 이차신뢰도법과 Monte Carlo simulation을 이용하였다. 제안된 절차의 적용성을 검토하기 위하여 2층 지반의 사면과 Sugar Creek제방사면에 대한 확률론적 사면안정해석을 수행하였다. 해석결과는 제안된 절차의 적정성과 다른 다양한 지반공학 문제로의 확장 적용의 가능성을 보여준다.

Developing a modified IDA-based methodology for investigation of influencing factors on seismic collapse risk of steel intermediate moment resisting frames

  • Maddah, Mohammad M.;Eshghi, Sassan
    • Earthquakes and Structures
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    • 제18권3호
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    • pp.367-377
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    • 2020
  • Incremental dynamic analysis (IDA) widely uses for the collapse risk assessment procedures of buildings. In this study, an IDA-based collapse risk assessment methodology is proposed, which employs a novel approach for detecting the near-collapse (NC) limit state. The proposed approach uses the modal pushover analysis results to calculate the maximum inter-story drift ratio of the structure. This value, which is used as the upper-bound limit in the IDA process, depends on the structural characteristics and global seismic responses of the structure. In this paper, steel midrise intermediate moment resisting frames (IMRFs) have selected as case studies, and their collapse risk parameters are evaluated by the suggested methodology. The composite action of a concrete floor slab and steel beams, and the interaction between the infill walls and the frames could change the collapse mechanism of the structure. In this study, the influences of the metal deck floor and autoclaved aerated concrete (AAC) masonry infill walls with uniform distribution are investigated on the seismic collapse risk of the IMRFs using the proposed methodology. The results demonstrate that the suggested modified IDA method can accurately discover the near-collapse limit state. Also, this method leads to much fewer steps and lower calculation costs rather than the current IDA method. Moreover, the results show that the concrete slab and the AAC infill walls can change the collapse parameters of the structure and should be considered in the analytical modeling and the collapse assessment process of the steel mid-rise intermediate moment resisting frames.

Response of steel pipeline crossing strike-slip fault in clayey soils by nonlinear analysis method

  • Hadi Khanbabazadeh;Ahmet Can Mert
    • Geomechanics and Engineering
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    • 제34권4호
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    • pp.409-424
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    • 2023
  • Response of the pipeline crossing fault is considered as the large strain problem. Proper estimation of the pipeline response plays important role in mitigation studies. In this study, an advanced continuum modeling including material non-linearity in large strain deformations, hardening/softening soil behavior and soil-pipeline interaction is applied. Through the application of a fully nonlinear analysis based on an explicit finite difference method, the mechanics of the pipeline behavior and its interaction with soil under large strains is presented in more detail. To make the results useful in oil and gas engineering works, a continuous pipeline of two steel grades buried in two clayey soil types with four different crossing angles of 30°, 45°, 70° and 90° with respect to the pipeline axis have been considered. The results are presented as the fault movement corresponding to different damage limit states. It was seen that the maximum affected pipeline length is about 20 meters for the studied conditions. Also, the affected length around the fault cutting plane is asymmetric with about 35% and 65% at the fault moving and stationary block, respectively. Local buckling is the dominant damage state for greater crossing angle of 90° with the fault displacement varying from 0.4 m to 0.55 m. While the tensile strain limit is the main damage state at the crossing angles of 70° and 45°, the cross-sectional flattening limit becomes the main damage state at the smaller 30° crossing angles. Compared to the stiff clayey soil, the fault movement resulting 3% tensile strain limit reach up to 40% in soft clayey soil. Also, it was seen that the effect of the pipeline internal pressure reaches up to about 40% compared to non-pressurized condition for some cases.

연속체 역학을 이용한 사면의 한계상태 해석 (Limit State Analysis of Earthern Slope Using a Continuum Mechanics Approach)

  • 서영교
    • 한국지반공학회논문집
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    • 제16권5호
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    • pp.141-148
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    • 2000
  • 사면 안정 해석은 주로 파괴 활동면의 전단 강도와 발휘되는 전단 강도의 최대비로서 표현되는 파괴활동의 추정을 위해 기존의 고전적인 방법을 사용하거나 이와 유사한 방법등이 사용되어 왔다. 이러한 방법들은 토질에 있어서의 상호 작용력과 그에 따른 전당력 및 사면 활동면의 반복되는 추정등의 가정으로 불확실성을 내포하고 있다. 본 연구에서는 토질전체를 연속체로 규정하고 비선형 유한요소법을 이용한 토질의 실제 응력과 강도를 정확하게 계산하였다. 사면 안정은 점차적 인증력의 증가로서 사면의 붕괴 활동면이 나타나FEo 까지로 해석되었다. 제시된 방법의 세부적인 사항은 예제를 통하여 설명되어 있다.

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Damage states of yielding and collapse for elevated water tanks supported on RC frame staging

  • Lakhade, Suraj O.;Kumar, Ratnesh;Jaiswal, mprakash R.
    • Structural Engineering and Mechanics
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    • 제67권6호
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    • pp.587-601
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    • 2018
  • Elevated water tanks are inverted pendulum type structures where drift limit is an important criterion for seismic design and performance evaluation. Explicit drift criteria for elevated water tanks are not available in the literature. In this study, probabilistic approach is used to determine maximum drift limit for damage state of yielding and damage state of collapse for the elevated water tanks supported on RC frame staging. The two damage states are defined using results of incremental dynamic analysis wherein a total of 2160 nonlinear time history analyses are performed using twelve artificial spectrum compatible ground motions. Analytical fragility curves are developed using two-parameter lognormal distribution. The maximum allowable drifts corresponding to yield and collapse level requirements are estimated for different tank capacities. Finally, a single fragility curve is developed which provides maximum drift values for the different probability of damage. Further, for rational consideration of the uncertainties in design, three confidence levels are selected and corresponding drift limits for damage states of yielding and collapse are proposed. These values of maximum drift can be used in performance-based seismic design for a particular damage state depending on the level of confidence.

신뢰도기반 하중계수 캘리브레이션을 통한 교량 평가 활하중계수 분석 (Analysis of Live Load Factor for Bridge Evaluation Through Reliability Based Load Factor Calibration)

  • 유민선;김경현;백인열
    • 한국구조물진단유지관리공학회 논문집
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    • 제26권6호
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    • pp.212-221
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    • 2022
  • 이 연구에서는 국내 도로교량 평가에서도 설계와 일관성이 있도록 한계상태설계법에 상응하는 평가방법을 마련하고, 선진국과 같이 평가에서 목표신뢰도지수를 감소시키는 경우 신뢰도분석을 통하여 보정하여 평가 활하중계수를 제안한다. 국내 대표 교량형식을 대상으로 수집한 실교량 자료를 활용하여 각 설계기준 별 설계활하중에 대한 하중효과를 산정하여 비교한다. 현행 설계법에 의해 산정된 하중효과를 바탕으로 최소요구강도를 산정하여 이에 대한 신뢰도분석을 통해 활하중계수 보정을 수행한다. 설계수준에 비하여 낮춰진 평가수준의 활하중계수를 교량 안전성평가를 수행하고, 이전 설계법의 안전성평가 결과와 비교하여 평가결과가 증가함을 확인하였다.