• 한국농공학회지
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• 제33권4호
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• pp.105-120
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• 1991

This study was performed to investigate the minimum safety factor of embankment in consideration of seismic coefficient by the psuedo-static analysis The variables were cohesion, the internal friction angle, angle of slope, height of seepage, height of embankment, depth of replacement The results obtained were compared with those by Fellenius method, simplified Bishop method and Janbu method. The results were summarized as follows: 1.The increasing rate of the minimum safety factor with the increasing of cohesion appeared larger in Fellenius method and Bishop method than in Janbu method. And that with the increasing of the internal friction angle appeared the lowest value in Janbu method. The minimum safety factor was influenced larger on the internal friction angle than on cohesion. 2.The variation of the minimum safety factor with the height of seepage at 0m and 5 m was nearly similar to Fellenius method, Bishop method and Janbu method. On the other hand, it was decreased suddenly at 25 m. 3.The minimum safety factor with the height of embankment was decreased remarkably under 10 m with the increasing of seismic coefficient. But, it was decreased slowly more than 10 m. As the height of embankment was low, the influence of cohesion appeared larger. 4.In heigher case of the depth of replacement, the phenomenon of reduction of the minimum safety factor appeared remarkably with seismic coefficient increased. And in lower case of the depth of replacement, the minimum safety factor was similar in Fellenius method and Bishop mehtod. But it appeared larger in Bishop method and Janbu method than in Fellenius method with the depth of replacement increased. 5.As the cohesion and the internal friction angle were large, the phenomenon of reduction of the minimum safety factor with the increasing of seismic coefficient appeared remarkably. Also, the influence of seismic coefficient in minimum safety factor appeared larger with the soil parameter increased. 6.When the seismic coefficient was considerated, investigation of the structural body on the slope stability appeared profitably in Fellenius method and Janbu method than in Bishop method.

• 농업과학연구
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• 제8권2호
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• pp.179-184
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• 1981

흙댐 및 자연사면(自然斜面)의 안정해석(安定解析)에 가장 많이 사용(使用)되는 Fellenius방법(方法)과 Bishop방법(方法)을 비교검토(比較檢討)하여 다음과 같은 결과(結果)를 얻었다. 1. 정상침투상태(定常浸透狀態)에서 Bishop방법(方法)이 Fellenius 방법(方法)보다 안전율(安全率)이 11~29%정도(程度) 큰 값을 나타냈다. 2. Bishop방법(方法)이 Fellenius방법(方法)보다 안전율(安全率)이 증대(增大)되는 비율(比率)($F_B-F_F/F_F$)은 경사면(傾斜面)의 기울기가 느릴수록 감소(減少)하는 경향(傾向)을 나타냈다. 3. 침투(浸透)가 없을때와 있을때의 안전율(安全率)이 증대(增大)되는 비율(比率)($F_1-F_2/F_2$)은 경사면(傾斜面)의 기울기가 느릴수록 증가하는 경향(傾向)을 나타냈다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
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• pp.1313-1323
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• 2008

The purpose of this study is to understand behaviors of slopes and determine soil parameters of slopes through the triaxial compression test and the direct shear test. Following results were obtained by comparing and analyzing model tests and analysis programs of slope stability. The safety factors of the Bishop's simple method, the Morgenstern Price method, the Spencer method and the GLE method were similar to each other but safety factors of the Fellenius method and the Janbu method were different from the formers. It was found that the Bishop's simple method, the Morgenstern Price method, the Spencer method and the GLE method could be used for design but attention should be paid to the Fellenius method and the Janbu method since they underestimated safety factor.

• 한국농공학회지
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• 제31권1호
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• pp.58-70
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• 1989

The paper compared the Bishop methed to the Fellenius method in the analysis of slope stability. Laboratory model test was carried out in the case of seepage flow considered. The results obtained from this study were summarized as follows; 1. The slice pieces of 10 were enough to analysis the slope stability. 2. The safety factor. by the Fellenius method was lower than the Bishop method by the 96 to 97% in the case of no seepage flow and by the 95 to 96% in the case of seepage flow considered. 3. Besides the parameter of soil and slope, the safety factor of slope was influenced by the height of slope. This phenomena was distinct in the height of height less than 10 meters. 4. In the case of clay, there was no difference in the safety factor of slope between Fellenius and Bishop rnethod. The safety factors of slope with the seepage flow considered were lower than those with no see-page flow. 5. The influence of cohesion on the safety factor was more significant in the Bishop method than in the Fellenius method. 6. The slope failure of model test of A and B soil samples with high permeability coefficient was taken place slightly in vicinity of toe by the concentration of stress and gradually increased 7. Under condition of same slope height, the shapper the slope, the shorter the radius and the center of critical circle appered downward and finally failure of slope occured inside the slope.

• 한국해안·해양공학회논문집
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• 제21권4호
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• pp.316-325
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• 2009

국제적인 항만시설물 사면안정해석 설계기준을 분석하고 그 결과를 비교하였다. 사면안정해석에 사용된 설계기준은 한계상태 설계법에 근거한 중국, 유럽 및 일본의 설계방법이다. 사면안정해석시 공통적으로 파괴활동면은 원호 활동면 가정을 기본으로 하고 있다. 해석방법에 있어서 중국은 수정 Fellenius법에 근간하고 있으나 근래에 간편 Bishop법으로 변화하고 있다. 유럽은 Morgenstern & Price법 또는 Bishop법을 추천하고 있다. 반면, 일본은 수정 Fellenius법을 우선시하고 간편 Bishop법은 두꺼운 사질토 지반 등에 선택적으로 이용하도록 하고 있다. 특별하게도 유럽은 포괄적 부분계수 및 재료계수를 규정하는 반면, 일본은 각 구조물별로 경험적 재료계수를 명시하고 있다. 중국에서는 포괄적 부분계수의 최소범위를 규정하고, 안정조건에 따라 특정한 시험에 의한 강도지수를 사용하도록 구체적으로 명시하고 있다. 설계사례를 통한 사면안전율을 비교한 결과, 중국, 일본 및유럽 순으로 높게 나타났다.

• 터널과지하공간
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• 제12권2호
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• pp.83-91
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• 2002

암석 버력으로 성토한 사면의 역학적 안정성을 한계평형해석법과 유한차분법으로 검토하였다. 암석 버력 성토사면의 높이는 약 40 m이고 사면의 구배는 1:1.5이다. 암석 버력 성토체의 강도정수 중 점착력은 없고, 내부마찰각은 43$^{\circ}$로 가정하고 사면의 안정성을 해석하였다. 한계평형해석 중 Fellenius법과 Bishop법으로 구한 안전율 Fs는 1.4이었다. 또 유한차분법으로 사면의 안전율을 구하기 위해서 강도감소법을 이용하였고 파괴영역을 기준으로 결정한 사면의 안전율 Fs도 역시 약 1.4로 한계평형해석 결과와 동일하였다. 여러 기관에서 사면설계기준으로 적용하는 안전율 1.3과 비교할 때 암석 버력 성토사면은 안정상태로 확인되었다.

• Geomechanics and Engineering
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• 제34권2호
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• pp.187-195
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• 2023

Intensive rainfall during the summer season in Korea has triggered numerous devastating landslides outside of downtown in mountainous areas. The 2D slope stability analysis that is generally used for cut slopes and embankments is inadequate to model slope failure in mountainous areas. This paper presents a new 3D slope stability formulation using the global sliding vector in the limit equilibrium method, and it uses an ellipsoidal slip surface for static and quasi-static analyses. The slip surface's flexibility of the ellipsoid shape gives a lower FS than the spherical failure shape in the Fellenius, Bishop, and Janbu's simplified methods. The increasing sub-columns of each column tend to increase the FS and converge to a steady value. The symmetrical geometric conditions of the convex turning corners do not indicate symmetrical failure of the surface in 3D analysis. Pseudo-static analysis shows that the horizontal seismic force decreases the FS and increases the mass volume at the critical failure state. The stability index takes the FS and corresponding sliding mass into consideration to assess the potential risk of slope failure in complex mountainous terrain. It is a valuable parameter for selecting a vulnerable area and evaluating the overall risk of slope failure.

• 한국농공학회지
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• 제23권1호
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• pp.86-102
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• 1981

The soil test data of 28 earth dams, scheduled to be constructed in Kore3, were selected for this study. The safety factors of their side slops were computed using Fellenius' "slice Method" by computer. The results summarized in this study are as follows; 1. Dam sections can be easily determined by fig.10 without a time consuming trial and error calculations of assumed sections. 2. For the economical design of earth dam sections, it was found that more cohesive soil was suitable for lower dams(dam height less than 25m) and soils with a higher friction angle was better for higher dams 3. In the case that used soil materials have the same Internal friction angle, side slope increase was almost same. 4. The relationship between side slope and friction angle was found as log.S=a tan ø+b (Fig. 7) 5. The relationship between side slope and cohesion (c) was also found as log. S=a c+b (Fig. 8) 6. The change of safety factors due to the change of central core materials was very little (Table-2) 7. The decrease of safety factors according to the unit weight increase of embankment materials was negligible. 8. In general the relationship between the wet unit weight and the saturated unit weight was r sat = (rt)$^2$+0. 140. This study will contribute to the determination of economic and safe planning and designing of earth dams, embankments and cutting side slopes.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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• pp.933-943
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• 2009

Axial loads and shaft resistances can be calculated by load transfer analysis using strain data with load level. In load transfer analysis, the elastic modulus of concrete is a one of the most important parameters to consider. The elastic modulus, $E_{50}$, suggested by ACI (American Concrete Institute), has been commonly used. However, elastic modulus of concrete shows nonlinear stress-strain characteristic, so nonlinearity should be considered in load transfer analysis. In this paper, a load transfer analysis was performed by using data obtained from bi-directional pile load tests for four cases of drilled shafts. For consideration of nonlinearity, elastic modulus was calculated by both the Fellenius method and the nonlinear method, assuming the stress-strain relation of concrete to be a quadratic function, and then, the calculated elastic modulus was applied to the estimation of shaft resistance. The calculated shaft resistances were compared with the result obtained using the constant elastic modulus of ACI code. It was found that the f-w curves are similar to each method, and elastic modulus and shaft resistances decreased as strain increased. Moreover, shaft resistances estimated from elastic modulus considering nonlinearity were 5~15% different than those obtained using the constant elastic modulus.

• 대한토목학회논문집
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• 제13권3호
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• pp.155-161
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• 1993

대구경(大口徑) 말뚝에 있어 파괴시(破壞時)까지 말뚝재하시험(載荷試驗)을 실시한다는 것은 매우 비용이 많이 들고 거의 불가능한 일이다. 따라서 파괴시(破壞時)까지 재하(載荷)하지 못한 말뚝의 연직재하시험(鉛直載荷試驗)의 결과(結果)로부터 지지력(支持力)을 추정(推定)하기 위해 많은 도해적(圖解的) 방법과 수학적(數學的) 방법이 시도되었다. Fellenius에 의하면 재하시험(載荷試驗)에 의한 파괴치(破壞値)의 추정(推定)은 수학적(數學的)인 법칙(法則)에 근거를 두어야 하며, 축척(縮尺) 관계나 개인의 시각적(視覺的) 판단(判斷) 등에 의존하지 않는 일정한 값을 가져야 한다. 본(本) 논문(論文)은 파괴시(破壞時)까지 재하(載荷)하지 못한 말뚝의 연직재하시험(鉛直載荷試驗)에 대하여 Kondner의 이론(理論)에 근거한 수학적(數學的)인 방법으로 쌍곡선(雙曲線)의 최대곡률점(最大曲率點)을 파기하중(破壞荷重)으로 추정(推定)하는 방법을 제안하였다. 이 방법으로는 파괴하중(破壞荷重) 뿐만 아니라 파괴하중(破壞荷重)시의 침하량(沈下量)도 추정(推定)이 가능하다.