• Title/Summary/Keyword: equilibrium analysis

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Stability Analysis of Embankment Slopes Consisting of Rock Fragments (암석 버력으로 성토한 사면의 안정성 해석)

  • 김치환
    • Tunnel and Underground Space
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    • v.12 no.2
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    • pp.83-91
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    • 2002
  • Stability analysis of rocky embankment slopes is done by both the limit equilibrium method and the finite difference method. The height or the rocky embankment is approximately 40 m and the side slope is 1 vertical to 1.5 horizontal. The cohesion and internal friction angle of rock debris are assumed zero and 43$^{\circ}$, respectively. For finite difference analysis, strength reduction method is used to calculate the saft factor of the slope. As a result, the safety factor of the slope is discovered to be 1.4 by using either methods. Considering that the design criteria of the safety factor is 1.3, it can be judged that the rock fragments embankment slope is in a stable state.

An Empirical Analysis on the Long-term Balance of Bunker Oil Prices Using the Co-integration Model and Vector Error Correction Model (공적분·벡터오차수정모형을 활용한 벙커유 가격의 장기균형 수렴에 관한 실증분석)

  • Ahn, Young-Gyun;Lee, Min-Kyu
    • Korea Trade Review
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    • v.44 no.1
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    • pp.75-86
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    • 2019
  • This study performs a factor analysis that affects the bunker oil price using the Co-integration model and Vector Error Correction Model (VECM). For this purpose, we use data from Clarkson and the analysis results show 17.6% decrease in bunker oil price when the amount of crude oil production increases at 1.0%, 10.3% increase in bunker oil price when the seaborne trade volume increases at 1.0%, 1.0% decrease in bunker oil price when total volume of vessels increases at 1.0%, and 0.003% increase in bunker oil price when 1.0% increase in world GDP, respectively. This study is meaningful in that this study estimates the speed of convergence to long-term equilibrium and identifies the price adjust mechanism which naturally exists in bunker oil market. And it is expected that the future study can provide statistically more meaningful econometric results if it can obtain data during more long-periods and use more various kinds of explanatory variables.

Case Study of Slope Investigation on the Cretaceous Sedimentary Rocks Using the Geological Cross-Sections

  • Ihm, Myeong-Hyeok;Kim, Woo-Seok;Kwon, Oil
    • The Journal of Engineering Geology
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    • v.31 no.4
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    • pp.463-478
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    • 2021
  • The subjects of the study are the sedimentary rock slope of the Mesozoic Gyeongsang Supergroup, which has a high risk of failure. The orientation of the slope-face represents a variety of changing characteristics. The rocks of the slope shall be sandstone, siltstone and dacite, and discontinuities shall develop beddings, shear joints, extension joints, and dacite dyke boundary planes. The type and scale of failure varies depending on the type of rock and the strike/dip of the discontinuities, but the toppling failure prevails. Based on the face-mapping data, SMR, physical and mechanical testing of rocks, analysis and review of the stereonet projections and the critical equilibrium analysis, all four representative sections required a countermeasure method because the acceptable safety factor during dry and rainy seasons were far below Fs = 1.5 and Fs = 1.2. After applying the countermeasure method, both the dry and wet conditions of the slope exceeded the allowable safety factor. In particular, the face-mapping data of the slope-face, the geological cross-sections of several representative sections perpendicular to the slope-face, and the critical equilibrium analysis and the presentation of countermeasure methods that have been reviewed based on them are expected to be reasonable tools for the slope stability. In addition, it will be possible to use it as basic data for performance evaluation for slope maintenance.

A Study on the Development of a Stability Chart for Yield Seismic Coefficient of Soil Slope Using Limit Analysis (한계해석을 이용한 토사면의 항복지진계수 산정도표 제안 연구)

  • Choi, Sang-Ho;Kim, Jong-Min
    • Journal of the Korean Geotechnical Society
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    • v.26 no.3
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    • pp.47-57
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    • 2010
  • Yield seismic coefficient plays an important role in the estimation of permanent displacement of a soil slope subjected to earthquake using Newmark's sliding block theory. However, yield seismic coefficients currently used in practices are not mechanically rigorous since most of them are estimated using limit equilibrium methods considering equilibrium condition only. Therefore, estimation of permanent displacement of a soil slope based on existing yield seismic coefficient may cause problems. Limit analysis estimating the range of mechanically rigorous solution is thought to be effective in evaluating the validity of existing yield seismic coefficient. In this study, a simple stability chart for yield seismic coefficient useful in practices is proposed by considering various slope conditions including stability number, slope inclination, strength parameters, etc.

Innovative displacement-based beam-column element with shear deformation and imperfection

  • Tang, Yi-Qun;Ding, Yue-Yang;Liu, Yao-Peng;Chan, Siu-Lai;Du, Er-Feng
    • Steel and Composite Structures
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    • v.42 no.1
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    • pp.75-90
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    • 2022
  • The pointwise equilibrium polynomial (PEP) element considering local second-order effect has been widely used in direct analysis of many practical engineering structures. However, it was derived according to Euler-Bernoulli beam theory and therefore it cannot consider shear deformation, which may lead to inaccurate prediction for deep beams. In this paper, a novel beam-column element based on Timoshenko beam theory is proposed to overcome the drawback of PEP element. A fifth-order polynomial is adopted for the lateral deflection of the proposed element, while a quadric shear strain field based on equilibrium equation is assumed for transverse shear deformation. Further, an additional quadric function is adopted in this new element to account for member initial geometrical imperfection. In conjunction with a reliable and effective three-dimensional (3D) co-rotational technique, the proposed element can consider both member initial imperfection and transverse shear deformation for second-order direct analysis of frame structures. Some benchmark problems are provided to demonstrate the accuracy and high performance of the proposed element. The significant adverse influence on structural behaviors due to shear deformation and initial imperfection is also discussed.

Reliability analysis of soil slope reinforced by micro-pile considering spatial variability of soil strength parameters

  • Yuke Wang;Haiwei Shang;Yukuai Wan;Xiang Yu
    • Geomechanics and Engineering
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    • v.36 no.6
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    • pp.631-640
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    • 2024
  • In the traditional slope stability analysis, ignoring the spatial variability of slope soil will lead to inaccurate analysis. In this paper, the K-L series expansion method is adopted to simulate random field of soil strength parameters. Based on Random Limit Equilibrium Method (RLEM), the influence of variation coefficient and fluctuation range on reliability of soil slope supported by micro-pile is investigated. The results show that the fluctuation ranges and the variation coefficients significantly influence the failure probability of soil slope supported by micro-pile. With the increase of fluctuation range of soil strength parameters, the mean safety factor of the slope increases slightly. The failure probability of the soil slope increases with the increase of fluctuation range when the mean safety factor of the slope is greater than 1. The failure probability of the slope increases by nearly 8.5% when the fluctuation range is increased from δv=2 m to δv =8 m. With the increase of the variation coefficient of soil strength parameters, the mean safety factor of the slope decreases slightly, and the probability of failure of soil slope increases accordingly. The failure probability of the slope increases by nearly 31% when the variation coefficient increases from COVc=0.2, COVφ=0.05 to COVc=0.5, COVφ=0.2.

2-Dimensional Equilibrium Analysis and Stability Analysis of Geotextile Tube by Hydraulic Model Test (지오텍스타일 튜브의 2차원 평형해석 및 수리모형시험을 통한 안전성 분석)

  • 신은철;오영인
    • Journal of the Korean Geotechnical Society
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    • v.18 no.5
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    • pp.251-260
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    • 2002
  • Geotextile tribes are made of sewn geotextile sheet and hydraulically or mechanically filled with dredged materials. They have been applied in hydraulic and coastal engineering in recent years(shore protection structure, detached breakwater, groins, and jetty). Therefore, it is composed of geotextile and confined fill material. Recently, new preliminary design criteria supported by model and prototype tests, and some stability analysis calculations have been studied. The stability analysis of geotextile tube is composed of geotechnical and hydrodynamic analysis. The stability check points are sliding failure, overturning, bearing capacity failure against the wave attack. In this paper are presented the stability analysis method by empirical equation and 2-D equilibrium analysis for geotextile tube. Also, the hydraulic model tests were performed to verify the theoretical stability analysis with geotextile tube shape, filling ratio, significant wave height, and so on. The results of this study show that the stability of geotextile tube depends on the tube shape, contact area, projection area. The theoretical analysis and hydraulic model test show almost the same results.

Preliminary Design Analysis of an Axial-Flow Turbine (축류터어빈의 기초설계 해석)

  • Gu, Sam-Ok;Choe, Dong-Hwan
    • 한국기계연구소 소보
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    • s.14
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    • pp.111-119
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    • 1985
  • A review on the design analysis of an axial-flow turbine is presented. Followed by a brief introduction to the fundamentals on an axial-flow turbine, a design procedure is described with a sample design of one for a small turbo-jet engine. Design procedure is composed of two parts: one-dimensional analysis of three-dimensional effects based on radial equilibrium theory. The method described herein is so simple and rapid that it can be applied to the preliminary design analysis of turbo-machinery equipped with axial-flow turbines.

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A Study on the Effective Evaluation of Slope Berm Construction using Slope Stability Analysis Program (사면안정해석 프로그램을 이용한 사면 소단 설치의 효용성 평가에 관한 연구)

  • 이종현;이정엽;김승현;유기정;구호본
    • Proceedings of the Korean Geotechical Society Conference
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    • 2003.03a
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    • pp.485-492
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    • 2003
  • In this study, We peformed on the effective evaluation of slope berm construction using slope stability analysis programs. The effective evaluation of slope berm construction was performed by stability of slope and economy of construction. This time, used slope stability analysis programs are Talren97 that use Limit equilibrium method (LEM) and FLAC-SLOPE that use finite difference method (FDM), and carried out using Rocfall program to evaluate slope stability by rockfall occurrence.

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Sensitivity Analysis of Input Parameters in Slope Stability Analysis (사면 안정해석에 적용되는 입력 인자들의 민감도 분석)

  • Baek Yong;Bae Gyu-Jin;Kwon O-Il;Chang Soo-Ho;Koo Ho-Bon
    • Journal of the Korean Geotechnical Society
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    • v.21 no.5
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    • pp.75-82
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    • 2005
  • Shear strength parameters obtained from field tests are important factors in the analysis of slope stability. In this paper, sensitivity analysis was performed to evaluate the effect of input parameters on the analysis of slope stability. The input parameters selected for sensitivity analysis were slope angle, cohesion, and friction angle. Monte-Carlo Simulation method was to estimate input parameters for sensitivity analysis in slope stability, and the limit equilibrium method was used to calculate the factor of safety of slope stability. A rock slope, failed in the field, was used for the sensitivity analysis of input parameters in the analysis of slope stability. The result of analysis shows that the factor of safety of the rock slope was a little low. From partial correlation coefficient (PCC) of input parameters from the sensitivity analysis, slope stability was dependant mainly on cohesion and slope angle. The effect of friction angle was smaller than those of cohesion and slope angle on slope stability.