• 제목/요약/키워드: Moment diagram

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A bivariate extension of the Hosking and Wallis goodness-of-fit measure for regional distributions

  • Kjeldsen, Thomas Rodding;Prosdocimi, Ilaria
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2015년도 학술발표회
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    • pp.239-239
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    • 2015
  • This study presents a bivariate extension of the goodness-of-fit measure for regional frequency distributions developed by Hosking and Wallis [1993] for use with the method of L-moments. Utilising the approximate joint normal distribution of the regional L-skewness and L-kurtosis, a graphical representation of the confidence region on the L-moment diagram can be constructed as an ellipsoid. Candidate distributions can then be accepted where the corresponding the oretical relationship between the L-skewness and L-kurtosis intersects the confidence region, and the chosen distribution would be the one that minimises the Mahalanobis distance measure. Based on a set of Monte Carlo simulations it is demonstrated that the new bivariate measure generally selects the true population distribution more frequently than the original method. An R-code implementation of the method is available for download free-of-charge from the GitHub code depository and will be demonstrated on a case study of annual maximum series of peak flow data from a homogeneous region in Italy.

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Sensitivity analysis of the plastic hinge region in the wall pier of reinforced concrete bridges

  • Babaei, Ali;Mortezaei, Alireza;Salehian, Hamidreza
    • Structural Engineering and Mechanics
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    • 제72권6호
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    • pp.675-687
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    • 2019
  • As the bridges are an integral part of the transportation network, their function as one of the most important vital arteries during an earthquake is fundamental. In a design point of view, the bridges piers, and in particular the wall piers, are considered as effective structural elements in the seismic response of bridge structures due to their cantilever performance. Owing to reduced seismic load during design procedure, the response of these structural components should be ductile. This ductile behavior has a direct and decisive correlation to the development of plastic hinge region at the base of the wall pier. Several international seismic design codes and guidelines have suggested special detailing to assure ductile response in this region. In this paper, the parameters which affect the length of plastic hinge region in the reinforced concrete bridge with wall piers were examined and the sensitivity of these parameters was evaluated on the length of the plastic hinge region. Sensitivity analysis was accomplished by independently variable parameters with one standard deviation away from their means. For this aim, the Monte Carlo simulation, tornado diagram analysis, and first order second moment method were used to determine the uncertainties associated with analysis parameters. The results showed that, among the considered design variables, the aspect ratio of the pier wall (length to width ratio) and axial load level were the most important design parameters in the plastic hinge region, while the yield strength of transverse reinforcements had the least effect on determining the length of this region.

복합재료 선미익 항공기 날개 하중해석

  • 한창환;김응태;안석민;김진원
    • 항공우주기술
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    • 제1권1호
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    • pp.8-27
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    • 2002
  • 본 연구에서는 현재 개발중에 있는 복합재료 선미익 항공기의 날개에 작용하는 하중해석을 수행하였다. 중량, 공력계수, 구조설계속도, 하중 등을 계산하기 위해 사용된 Tool은 Excel에서 운용되는 Visual Basic 프로그램으로 계산에 많은 도움을 주었다. 하중해석에 기본적으로 요구되는 항공기의 형상치수, 부품의 종류 및 중량 그리고 좌표계 등은 Catia 모델링, 실제측정 또는 재료밀도 값 등을 이용해 구하였으며, 이들 자료를 통하여 항공기의 중량, 무게중심, 관성모멘트, 구조설계속도, 날개의 하중분포, 힘과 모멘트 등을 계산하였다. 또한 항공기의 날개 및 동체의 임계하중 조건을 선정하는데 필수적인 항공기의 V-n 선도를 도시하였으며, 이 V-n 선도는 항공기의 최대중량 2,573 파운드 및 해면고도조건에서 설계속도 $V_A$, $V_C$, $V_D$ 및 하중계수 +3.8G, -1.52G에 대한 비행범위를 제시하고 있다. 앞으로는 V-n 선도로부터 선정된 임계하중을 이용하여 해석된 동체 및 날개에 대한 하중을 제시하고자 한다.

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LEAK-BEFORE-BREAK ANALYSIS OF THERMALLY AGED NUCLEAR PIPE UNDER DIFFERENT BENDING MOMENTS

  • LV, XUMING;LI, SHILEI;ZHANG, HAILONG;WANG, YANLI;WANG, ZHAOXI;XUE, FEI;WANG, XITAO
    • Nuclear Engineering and Technology
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    • 제47권6호
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    • pp.712-718
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    • 2015
  • Cast duplex stainless steels are susceptible to thermal aging during long-term service at temperatures ranging from $280^{\circ}C$ to $450^{\circ}C$. To analyze the effect of thermal aging on leak-before-break (LBB) behavior, three-dimensional finite element analysis models were built for circumferentially cracked pipes. Based on the elasticeplastic fracture mechanics theory, the detectable leakage crack length calculation and J-integral stability assessment diagram approach were carried out under different bending moments. The LBB curves and LBB assessment diagrams for unaged and thermally aged pipes were constructed. The results show that the detectable leakage crack length for thermally aged pipes increases with increasing bending moments, whereas the critical crack length decreases. The ligament instability line and critical crack length line for thermally aged pipes move downward and to the left, respectively, and unsafe LBB assessment results will be produced if thermal aging is not considered. If the applied bending moment is increased, the degree of safety decreases in the LBB assessment.

편심유공합성보의 종국내력 및 변형능력에 관한 실험적 연구 (An Experimental Study on the Ultimate Strength and Deformation Capacity of Composite Beams with Eccentric Web Openings)

  • 최산호;서성연
    • 한국강구조학회 논문집
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    • 제12권5호통권48호
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    • pp.595-604
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    • 2000
  • 유공합성보는 공기조화설비등의 각종 배관으로 인한 용적률의 저하를 완화할 수 있고, 바람과 같은 수평력에 의한 층모멘트 감소등의 구조적 측면에서도 유용하다. 또한 휨강성도 증가되어 하중에 의한 처짐이 적어지고 진동하중이나 충격하중에도 유리하게 되어 건축물의 강성 및 내력을 높이기 위해 사용되고 있다. 그러나 개구부 위치 및 편심여부에 따라 외력에 대한 구조적인 거동이 달라지게 되므로 이에 대한 적절한 검토가 요구된다. 이에 본 논문은 편심유공합성보의 종국내력 및 변형능력에 관한 실험적 연구로서, 무공합성보인 기준시험체와 중심 및 상 하 편심유공합성보 시험체의 실험 및 이론적 고찰을 통하여 각 시험체들의 항복 및 최대내력, 휨 및 전단강성, 개구부주위의 응력분포, 그리고 모멘트-전단력 상관관계등의 구조적 특성을 규명코자 한다.

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개선된 부착슬립 모델을 적용한 부분 CFST 기둥의 수치해석 (Numerical Approach for a Partial CFST Column using an Improved Bond-Slip Model)

  • 황주영;곽효경
    • 한국전산구조공학회논문집
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    • 제33권3호
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    • pp.153-158
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    • 2020
  • 본 논문에서는 부분 CFST (concrete-filled steel tube) 기둥에 대한 수치해석적 저항력 평가 방법에 대해 소개하고 있다. 기존 RC(reinforced concrete) 기둥에서 소성힌지가 발생할 것으로 예상되는 부분을 강관으로 보강함으로써 완전 CFST 기둥보다는 적은 재료를 사용하여 비슷한 휨 모멘트 저항력을 가지는 부분 CFST 기둥의 디자인 컨셉을 제시하였다. 부분 CFST 기둥에서 외부 강관과 내부 콘크리트 사이의 계면에서 거동을 수치해석적으로 모사하기 위해 개선된 부착슬립모델을 적용한 유한요소모델을 구축하고, 이중곡률 휨-압축시험결과와 비교를 통해 타당성을 검증하였다. 검증된 수치모델을 바탕으로 매개변수 연구를 통해서 P-M 상관도를 그려 단면 조건에 따른 최대 저항력을 평가하였다. 또한, 강관 두께별로 필요 보강길이를 산출하고, 보강 조건에 따른 부분 CFST 기둥에서의 파괴메커니즘을 분석하였다.

L 및 LH-모멘트법과 지역빈도분석에 의한 가뭄우량의 추정(I) - L-모멘트법을 중심으로 - (Estimation of Drought Rainfall by Regional Frequency Analysis using L and LH-Moments(I) - On the Method of L-Moments -)

  • 이순혁;윤성수;맹승진;류경식;주호길
    • 한국농공학회지
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    • 제45권5호
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    • pp.97-109
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    • 2003
  • This study is mainly conducted to derive the design drought rainfall by the consecutive duration using probability weighted moments with rainfall in the regional drought frequency analysis. It is anticipated to suggest optimal design drought rainfall of hydraulic structures for the water requirement and drought frequency of occurrence for the safety of water utilization through this study. Preferentially, this study was conducted to derive the optimal regionalization of the precipitation data that can be classified by the climatologically and geographically homogeneous regions all over the regions except Cheju and Ulreung islands in Korea. Five homogeneous regions in view of topographical and climatological aspects were accomplished by K-means clustering method. Using the L-moment ratio diagram and Kolmogorov-Smirnov test, generalized extreme value distribution was confirmed as the best fitting one among applied distributions. At-site and regional parameters of the generalized extreme value distribution were estimated by the method of L-moments. Design drought rainfalls using L-moments following the consecutive duration were derived by the at-site and regional analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design drought rainfall derived by at-site and regional analysis in the observed an simulated data were computed and compared. In has shown that the regional frequency analysis procedure can substantially more reduce the RRMSE. RBIAS and RR in RRMSE than those of at-site analysis in the prediction of design drought rainfall. Consequently, optimal design drought rainfalls following the regions and consecutive durations were derived by the regional frequency analysis.

L-모멘트 및 LH-모멘트 기법에 의한 적정 설계홍수량의 유도( I ) - L-모멘트법을 중심으로 - (Derivation of Optimal Design Flood by L-Moments and LB-Moments ( I ) - On the method of L-Moments -)

  • 이순혁;박명근;맹승진;정연수;김동주;류경식
    • 한국농공학회지
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    • 제40권4호
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    • pp.45-57
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    • 1998
  • This study was conducted to derive optimal design floods by Generalized Extreme Value (GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the Relative Mean Errors(RME) and Relative Absolute Errors(RAE). The results were analyzed and summarized as follows. 1. Adequacy for the analysis of flood data was acknowledged by the tests of Independence, Homogeneity and detection of Outliers. 2. GEV distribution used in this study was found to be more suitable one than Pearson type 3 distribution by the goodness of fit test using Kolmogorov-Smirnov test and L-Moment ratios diagram in the applied watersheds. 3. Parameters for GEV distribution were estimated using Methods of Moments and L-Moments. 4. Design floods were calculated by Methods of Moments and L-Moments in GEV distribution. 5. It was found that design floods derived by the method of L-Moments using Weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions from the viewpoint of Relative Mean Errors and Relative Absolute Errors.

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PSD를 이용한 혼합모드 하중하에서 탄소성 파괴인성평가에 관한 실험적인 연구 (An Experimental Study on the Evaluaiton of Elastic-Plastic Fracture Toughness under Mixed Mode I-II-III Loading Using the Optical PSD)

  • 김희송;이춘재
    • 대한기계학회논문집A
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    • 제20권4호
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    • pp.1263-1274
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    • 1996
  • In this paper, as elastic-plastic fracture toughness test under mixed mode loading was proposed using a single edge-cracked specimen subjected to bending moment(M), shearing force(F), and twisting moment(T). The J-integral of a crack in the specimen is expressed in the form J=$J_I$+ $J_II$$J_III$, where $J_I$, $J_II$ and $J_III$ are the components of mode I, mode II and mode III deformation, respectively. $J_I$, $J_II$ and $J_III$ can be estimated from M-$\theta$ ($\theta$;crack opening angle), F-U(U; crack shear displacement) and T-$\alpha$ ($\alpha$;crack twisting angle). In order to obtain the the M<-TEX>$\theta$, F-U and T-$\alpha$ diagram inreal time, a new deformaiton gage for mixed mode loading was proposed using the optical position sensing device(PSD). The elastic-plastic fracture toughness test was carried out with an aluminum alloy. The loading apparatus was designed and manufactured for this experiment. For the loading condition of the crack initatio in the mixed mode, the MMT -3(mode I+ mode II+ mode III) has the lowest values out of the all specimens. This implies that MMT-3 is possible of the crackinitation at lower load, if the specimen acts on together with the torque under the same loading condition. An elastic-plastic fracture toughness test using the PSD brings a successful experimentation in measuring the crack deformation(mode I+ mode II+ mode III).

Optimization for trapezoidal combined footings: Optimal design

  • Arnulfo Lueanos-Rojas
    • Advances in concrete construction
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    • 제16권1호
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    • pp.21-34
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    • 2023
  • This work presents a complete optimal model for trapezoidal combined footings that support a concentric load and moments around of the "X" and "Y" axes in each column to obtain the minimum area and the minimum cost. The model presented in this article considers a pressure diagram that has a linear variation (real pressure) and the equations are not limited to some cases. The classic model takes into account a concentric load and the moment around of the "X" axis (transverse axis) that is applied due to each column, i.e., the resultant force is located at the geometric center of the footing on the "Y" axis (longitudinal axis), and when the concentric load and moments around of the "X" and "Y" axes act on the footing is considered the uniform pressure applied on the contact surface of the footing, and it is the maximum pressure. Four numerical problems are presented to find the optimal design of a trapezoidal combined footing under a concentric load and moments around of the "X" and "Y" axes due to the columns: Case 1 not limited in the direction of the Y axis; Case 2 limited in the direction of the Y axis in column 1; Case 3 limited in the direction of the Y axis in column 2; Case 4 limited in the direction of the Y axis in columns 1 an 2. The complete optimal design in terms of cost optimization for the trapezoidal combined footings can be used for the rectangular combined footings considering the uniform width of the footing in the transversal direction, and also for different reinforced concrete design codes, simply by modifying the resisting capacity equations for moment, for bending shear, and for the punching shear, according to each of the codes.