• 제목/요약/키워드: Ultimate limit state design

검색결과 97건 처리시간 0.024초

Predictive models of ultimate and serviceability performances for underground twin caverns

  • Zhang, Wengang;Goh, Anthony T.C.
    • Geomechanics and Engineering
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    • 제10권2호
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    • pp.175-188
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    • 2016
  • The construction of a new cavern modifies the state of stresses and displacements in a zone around the existing cavern. For multiple caverns, the size of this influence zone depends on the ground type, the in situ stress, the cavern span and shape, the width of the pillar separating the caverns, and the excavation sequence. Performances of underground twin caverns can be unsatisfactory as a result of either instability (collapse) or excessive displacements. These two distinct failures should be prevented in design. This study simulated the ultimate and serviceability performances of underground twin rock caverns of various sizes and shapes. The global factor of safety is used as the criterion for determining the ultimate limit state and the calculated maximum displacement around the cavern opening is adopted as the serviceability limit state criterion. Based on the results of a series of numerical simulations, simple regression models were developed for estimating the global factor of safety and the maximum displacement, respectively. It was proposed that a proper pillar width can be determined based on the threshold influence factor value. In addition, design charts with regard to the selection of the pillar width for underground twin rock caverns under similar ground conditions were also developed.

신뢰성지수를 이용한 효율적인 발파설계 (An Efficient Blast Design using Reliability Index)

  • 박연수;박선준;강성후
    • 소음진동
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    • 제8권5호
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    • pp.821-831
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    • 1998
  • The actual ground vibrations due to NATM and foundation blasting at Seoul(weathered rock), Pusan(weathered rock) and Youngkwang(quartz andesite) have been measured, and the data were analyzed using reliability index($\beta$) to determinate the vibration equations and the maximum charge weight for efficient blast. These were suggested with the division of ultimate limit state($\beta$=0), serviceability limit state($\beta$=1.28) and safety state($\beta$=3), respectively. The reliability index 0 mean 50% data line obtained by the least squares best-fit line. The reliability index 1.28 and 3 represent bounds below 90% and 99.9% of the data, respectively. In this study, reliability index $\beta$=1.28 with security and economy was suggested. The maximum charge weight equations for efficient blast were obtained in W=(Vc/384.90)1.5151.D3(Seoul), W=(Vc/579.82)1.4706.D3(Pusan). W=(Vc/1654.01)1.3456.D3(Youngkwang), and the blast vibration equatiions in V=385(SD)-1.98(Seoul), V=580(SD)-2.04(Pusan), V=1654(SD)-2.23(Youngkwang), respectively. From this study, inference and analysis methods of vibration equations using reliability theory were established.

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Probabilistic Strength at Serviceability Limit State for Normal and SBHS Slender Stiffened Plates Under Uniaxial Compression

  • Rahman, Mahmudur;Okui, Yoshiaki;Anwer, Muhammad Atif
    • 국제강구조저널
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    • 제18권4호
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    • pp.1397-1409
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    • 2018
  • Stiffened plates with high slenderness parameters show large out-of-plane deflections, due to elastic buckling, which may occur before the plates reach their ultimate strength. From a serviceability point of view, restriction of out-of-plane deflections exceeding the fabrication tolerance is of primary importance. Compressive strength at the serviceability limit state (SLS) for slender stiffened plates under uniaxial stress was investigated through nonlinear elasto-plastic finite element analysis, considering both geometric and material nonlinearity. Both normal and high-performance steel were considered in the study. The SLS was defined based on a deflection limit and an elastic buckling strength. Probabilistic distributions of the SLS strengths were obtained through Monte Carlo simulations, in association with the response surface method. On the basis of the obtained statistical distributions, partial safety factors were proposed for SLS. Comparisons with the ultimate strength of different design codes e.g. Japanese Code, AASHTO, and Canadian Code indicate that AASHTO and Canadian Code provide significantly conservative design, while Japanese Code matches well with a 5% non-exceedance probability for compressive strength at SLS.

Characterization and uncertainty of uplift load-displacement behaviour of belled piers

  • Lu, Xian-long;Qian, Zeng-zhen;Zheng, Wei-feng;Yang, Wen-zhi
    • Geomechanics and Engineering
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    • 제11권2호
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    • pp.211-234
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    • 2016
  • A total of 99 full-scale field load tests at 22 sites were compiled for this study to elucidate several issues related to the load-displacement behaviour of belled piers under axial uplift loading, including (1) interpretation criteria to define various elastic, inelastic, and "failure" states for each load test from the load-displacement curve; (2) generalized correlations among these states and determinations to the predicted ultimate uplift resistances; (3) uncertainty in the resistance model factor statistics required for reliability-based ultimate limit state (ULS) design; (4) uncertainty associated with the normalized load-displacement curves and the resulting model factor statistics required for reliability-based serviceability limit state (SLS) design; and (5) variations of the combined ULS and SLS model factor statistics for reliability-based limit state designs. The approaches discussed in this study are practical and grounded realistically on the load tests of belled piers with minimal assumptions. The results on the characterization and uncertainty of uplift load-displacement behaviour of belled piers could be served as to extend the early contributions for reliability-based ULS and SLS designs.

비선형 회귀분석을 이용한 쇄석다짐말뚝의 극한지지력 예측 (Estimation of Ultimate Bearing Capacity of Gravel Compaction Piles Using Nonlinear Regression Analysis)

  • 박준모;한용배;장연수
    • 한국해안·해양공학회논문집
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    • 제25권2호
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    • pp.112-121
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    • 2013
  • 쇄석다짐말뚝의 한계상태설계법에서 신뢰성이론에 기반한 저항계수를 보정하기 위해서는 신뢰도 높은 극한지지력의 평가가 요구되고 있으며, 실무에서는 극한지지력을 예측하기 위하여 주로 정재하시험을 이용하고 있다. 정재하시험의 하중-침하량 곡선을 여러 도해법 등을 이용하여 극한지지력을 예측하는 평가법들이 설계기준에 제시되어 있으나, 기술자의 판단에 따라 극한하중이 일정하게 산정되지 못함으로써 신뢰성을 확보하기 어려운 단점이 있었다. 본 연구에서는 쇄석다짐말뚝의 정재하시험 결과를 비선형 회귀분석을 이용하여 극한지지력을 예측하고, 기존의 극한지지력 판정법과 비교함으로써 실제 극한지지력을 예측하는데 적합한 비선형 회귀모형을 제안하였다. 또한 극한지지력 판정법이 저항편향계수에 미치는 영향을 분석하고, 한계상태설계법을 위한 데이터베이스 축적을 목적으로 정재하시험을 계획하는데 필요한 시험조건을 검토하였다.

한계상태 설계법을 이용한 고강도 콘크리트 세그먼트 라이닝 설계 (A high strength concrete segment lining design using the limit state design code)

  • 박인준;고성일;황창희;오명호;김영준
    • 한국터널지하공간학회 논문집
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    • 제14권5호
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    • pp.547-559
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    • 2012
  • 국내의 콘크리트 구조설계는 허용응력 설계법(ASD) 및 극한강도 설계법(USD)을 사용하고 있다. 허용응력설계 및 극한강도설계법은 경제적인 설계에 제한이 따르기 때문에 최근에 지하구조물의 설계에 극한한계상태 설계법의 채택을 다각적으로 검토하고 있는 상황이다. 이를 뒷받침하고자 본 연구에서는 일본 한계상태 설계법(LSD)에 의거한 국내 고강도 콘크리트 라이닝에 대한 발생 단면력을 산정하였으며, 이를 국내의 극한강도 설계법과 비교함으로서 경제적 설계결과 도출 가능성 및 국내 적용성을 분석하고자 하였다. 해석결과, 철근량 산정과 밀접한 관계가 있는 최대 모멘트 발생양상은 두 설계법 모두 유사하나, 발생 부재력은 일본 한계상태 설계법이 극한강도 설계법에 비하여 모멘트는 26.0%, 전단력은 26.7%감소하는 것을 확인할 수 있었으며, 이를 통하여 안정성이 확보된 조건에서 경제적인 세그먼트 설계가 가능함을 확인하였다.

철근콘크리트 쌍곡 '안장' 쉘의 설계 예와 극한거동 (Design versus Ultimate Behavior of Reinforced Concrete Hyperbolic Paraboloid Saddle Shell)

  • 민창식
    • 대한토목학회논문집
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    • 제14권4호
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    • pp.807-814
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    • 1994
  • 철근콘크리트 쉘구조물에 대한 현행 설계방법의 타당성을 증명하기 위한 시도로서 Lin과 Scordelis에 의해서 사용되었던 쌍곡 포물선 '안장' 쉘에 대한 설계를 막응력 해석(membrane analysis)에 의해서 구한 응력을 토대로 하여, 보강철근의 설계는 특정부분의 극한거동에 근거를 둔 설계방정식을 이용하여 수행하였다. 비탄성해석을 수행한 결과 행이 97%의 설계극한하중을 지지할 수 있음을 보여주었다. 이는 설계방법이 본 연구에서 해석한 특정 쉘의 실제 극한하중에 대해서 소성이론의 하계정리(Lower bound theorem)가 적용 될 수 있다는 가능성을 보여주고 있으며, 따라서 현행 설계방법의 타당성을 제공하고 있다고 볼 수 있다. 이러한 결론을 일반화하기 위해서는 여러 형태의 철근콘크리트 쉘구조물에 대해서 광범위한 설계와 해석이 행해져야 할 것이다.

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SUMT 법(法)을 이용(利用)한 철근(鐵筋)콘크리트 뼈대구조물(構造物)의 최적설계(最適設計)에 관한 연구(研究) (A Study on the Optimal Design of Reinforced Concrete Frames Using SUMT)

  • 정영채;이규원
    • 대한토목학회논문집
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    • 제4권1호
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    • pp.27-48
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    • 1984
  • 본(本) 연구(硏究)는 한계상태(限界狀態) 설계(設計) 이론(理論)에 의한 철근(鐵筋)콘크리트 뼈대구조물(構造物)에 관(關)한 것이다. 한계상태이론(限界狀態理論)에 의한 철근(鐵筋)콘크리트 뼈대구조물(構造物)에 대한 최적설계(最適設計)의 문제형성(問題形成)은 철근(鐵筋)의 단면적(斷面積), 단면(斷面)의 폭(幅)과 유효고(有效高) 그리고 모멘트 감소율(減少率)을 설계변수(設計變數)로 취급(取扱)하는 비선형(非線型) 계획(計劃) 문제(問題)로 된다. 목적함수(目的凾數)는 철근(鐵筋)콘크리트 뼈대구조물(構造物)의 철근(鐵筋)과 콘크리트 및 거푸집의 비용(費用)을 고려(考慮)하는 총(總) 건설경비(建設經費)로 형성(形成)되고, 기본(基本) 제약조건식(制約條件式)들은 극한(極限) 한계상태(限界狀態)와 사용성(使用性) 한계상태(限界狀態)의 개념(槪念)을 내포하고 있다. 또한 CP110과 Hognestad et al. 이론(理論)에서 가정(假定)된 응력분포도(應力分布圖)를 극한(極限) 한계상태(限界狀態)를 위해 극한(極限) 저항단면력(抵抗斷面力)을 해석(解析)하는데 적용(適用)되었고, 사용성(使用性) 한계상태(限界狀態)를 위해서는 CP110의 규준(規準)만을 사용(使用)한다. 철근(鐵筋)콘크리트 뼈대구조물(構造物)의 최적화(最適化)를 위한 비선형(非線型) 계획(計劃) 문제(問題)를 풀기 위해서 적용(適用)된 최적화(最適化) 기법(技法)은 수정(修正) Newton-Raphson 법(法)을 이용한 SUMT 알고리즘이다. 본(本) 알고리즘을 2종(種)의 뼈대구조물(構造物)에 시행(試行)해 보았고, 본(本) 알고리즘의 수감성(收歛性), 적용가능성(適用可能性) 및 안정성(安定性)을 검토(檢討)하기 위해 문헌(文獻)(10)의 수치결과(數値結果)와도 비교분석(比較分析)하였다. 결론적(結論的)으로 수치분석(數値分析)을 통(通)하여 CP110과 Hognestad et al.의 경제성(經濟性) 비교(比較)와 본(本) 알고리즘의 적용가능성(適用可能性), 안정성(安定性), 수감성(收歛性) 및 확실성(確實性) 등에 대하여 논의(論議)되었다.

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Cost optimization of reinforced high strength concrete T-sections in flexure

  • Tiliouine, B.;Fedghouche, F.
    • Structural Engineering and Mechanics
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    • 제49권1호
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    • pp.65-80
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    • 2014
  • This paper reports on the development of a minimum cost design model and its application for obtaining economic designs for reinforced High Strength Concrete (HSC) T-sections in bending under ultimate limit state conditions. Cost objective functions, behavior constraint including material nonlinearities of steel and HSC, conditions on strain compatibility in steel and concrete and geometric design variable constraints are derived and implemented within the Conjugate Gradient optimization algorithm. Particular attention is paid to problem formulation, solution behavior and economic considerations. A typical example problem is considered to illustrate the applicability of the minimum cost design model and solution methodology. Results are confronted to design solutions derived from conventional design office methods to evaluate the performance of the cost model and its sensitivity to a wide range of unit cost ratios of construction materials and various classes of HSC described in Eurocode2. It is shown, among others that optimal solutions achieved using the present approach can lead to substantial savings in the amount of construction materials to be used. In addition, the proposed approach is practically simple, reliable and computationally effective compared to standard design procedures used in current engineering practice.

KL-510 하중모형을 적용한 강합성 2거더교 RC 장지간 바닥판의 최소두께 (Minimum Thickness of Long Span RC Deck Slabs for Composite 2-girder Bridges Designed by KL-510 Load Model)

  • 박우진;황훈희
    • 한국안전학회지
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    • 제29권3호
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    • pp.72-78
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    • 2014
  • The minimum thickness of long-span deck slab is proposed by checking the limit state according to the Korean highway bridge design code(limit state design). Both minimizing thickness and ensuring safety of deck slab are important design factors to increase a competitive price of the long span deck slabs. The required thicknesses for satisfying flexural capacity, preventing punching shear failure and limiting deflection were calculated by considering KL-510 load model which has increased total load compared to DB 24 from 432 kN to 510 kN. The results of the required thickness for various limit states were compared to propose the minimum thickness as a function of span length of deck slabs. The proposed minimum thickness is influenced by satisfying flexural capacity and limiting deflection. It turns out to be similar compared to the results of the previous study by ultimate strength design method even if the live load model was increased in total weights.