• Geomechanics and Engineering
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• 제30권6호
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• pp.525-538
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• 2022

This paper presents a more general model for T-shaped combined footings that support two columns aligned on a longitudinal axis and each column provides an axial load and two orthogonal moments. This model can be applied to the following conditions: (1) without restrictions on its sides, (2) a restricted side and (3) two opposite sides restricted. This model considers the linear soil pressure. The recently published works have been developed for a restricted side and for two opposite sides restricted by Luévanos-Rojas et al. (2018a, b). The current model considers the uniform pressure distribution because the position of the resultant force coincides with the center of gravity of the surface of the footing in contact with the soil in direction of the longitudinal axis where the columns are located. This paper shows three numerical examples. Example 1 is for a T-shaped combined footing with a limited side (one column is located on the property boundary). Example 2 is for a T-shaped combined footing with two limited opposite sides (the two columns are located on the property boundary). Example 3 is for a T-shaped combined footing with two limited opposite sides, one column is located in the center of the width of the upper flange (b₁/2=L₁), and other column is located at a distance half the width of the strip from the free end of the footing (b₂/2=b-L₁-L). The main advantage of this work over other works is that this model can be applied to T-shaped combined footings without restrictions on its sides, a restricted side and two opposite sides restricted. It also shows the deficiencies of the current model over the new model.

• 한국지반신소재학회논문집
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• 제9권1호
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• pp.13-20
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• 2010

본 연구에서는 얕은기초의 파괴거동과 전체적인 하중-변위 관계를 묘사하는 방법에 대하여 기술하였다. 제안한 방법에 의하여 얕은기초의 최고점 이후의 거동과 점진적인 파괴과정을 비교적 명확히 기술하는 것이 가능함을 보여주었다. 유한요소 수치해석법으로 얕은 기초지반에 대하여 마찰각과 체적팽창각을 달리하여 지지력계수 $N_{\gamma}$을 계산하였다. 일반적으로 적용하는 관련 흐름법칙과 거친 기초조건에 의한 지지력계수 $N_{\gamma}$값은 실제 흙거동인 비관련 흐름법칙과 약간 미끈한 기초조건에 대해서는 불안전한 설계가 되는 것을 보여주었다.

• 한국지반공학회논문집
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• 제30권1호
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• pp.49-63
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• 2014

모래지반의 지표면에 위치한 거친 바닥면을 가진 강체 연속기초와 원형기초에 대하여 수치해석을 이용하여 팽창각 변화에 따른 지지력계수 $N_{\gamma}$와 형상계수를 구하였다. 양해법(explicit method)에 기반한 유한차분해석을 이용하여 지지력계수를 산정하기 위한 수치모델과 해석절차를 개발하고, Mohr-Coulomb 소성모델을 이용하여 다양한 내부마찰각(${\phi}$)과 팽창각(${\psi}$) 범위에 대하여 지지력계수를 도출하였다. 팽창각이 감소됨에 따라 지지력도 감소하는 것으로 나타났으며, 보편적인 지지력계수 제안식들이 가정하고 있는 관련흐름법칙(associated flow-rule)이 적용된 경우(${\psi}={\phi}$)를 기준으로 비관련흐름법칙(nonassociated flow-rule)이 적용된 경우(${\psi}$ < ${\phi}$)의 상대적인 지지력 비율을 산출하였고, 일반적인 모래에 대한 관계식을 제안하였다. 원형기초의 형상계수는 연속기초의 평면변형률 조건의 고려 여부에 따라 크게 변하였으며, 평면변형률 조건을 고려하여 내부마찰각을 증가시킨 경우가 기존의 실험 결과와 유사한 경향을 나타내었다. 형상계수 제안식들의 경향이 차이를 나타내는 원인에 대하여 고찰하고 설계시 적용 방안을 제시하였다.

• Geomechanics and Engineering
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• 재33권6호
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• pp.543-552
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• 2023

The design of foundations based on a deterministic approach may not be safe and reliable occasionally, since soils sometimes show considerable spatial variability, and thus, significant uncertainties in turn affect the estimation of footing bearing capacity. The design of footing on cohesionless stratums on the basis of reliability analysis has not received much attention. This paper performs two-dimensional random finite difference analyses of shallow strip footings on a spatially variable frictional soil considering correlation structure. Friction angle (ϕ) is considered as a log-normally distributed random variable and Monte Carlo Simulation is then performed to determine the statistical response based on the random fields. A new approach reliability-based safety factor is defined based on various reliability levels by considering the coefficient of variation of ϕ and correlation length in both the horizontal and vertical directions. The comparison of the probabilistic safety factor and the conventional one illustrates the limitations of the deterministic safety factor and provides insight into how the heterogeneity of soils properties affects the required safety factor. Results show that the conventional safety factor of 3 can be conservative in some cases, especially for soil with low values of mean ϕ and COV_ϕ.

• Geomechanics and Engineering
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• 제31권2호
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• pp.223-235
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• 2022

Bearing capacity of shallow foundations is often determined for either dry or saturated soils. In some occasions, foundations may be subjected to external loading which is inclined and/or eccentric. In this study, the ultimate bearing capacity of shallow foundations resting on partially saturated coarse-grained cohesionless and fine-grained cohesive soils subjected to a wide range of combined vertical (V) - horizontal (H) - moment (M) loadings is rigorously evaluated using the well-established limit equilibrium method. The unified effective stress approach as well as the suction stress concept is effectively adopted so as to simulate the behaviour of the underlying unsaturated soil medium. In order to obtain the bearing capacity, four equilibrium equations are solved by adopting Coulomb failure mechanism and Bishop effective stress concept and also considering a linear variation of the induced matric suction beneath the foundation. The general failure loci of the shallow foundations resting on unsaturated soils at different hydraulic conditions are presented in V - H - M spaces. The results indicate that the matric suction has a marked influence on the bearing capacity of shallow foundations. In addition, the effect of induced suction on the ultimate bearing capacity of obliquely-loaded foundations is more pronounced than that of the eccentrically-loaded footings.

• 한국지반공학회논문집
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• 제30권3호
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• pp.29-46
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• 2014

모래지반의 지표면에 위치한 거친 바닥면을 가진 강체 원형기초에 대하여 삼차원 수치해석을 통하여 수직-수평 조합하중 조건에서의 지지력을 구하였다. 조합하중 상관도를 효율적으로 산출할 수 있는 swipe 재하방법과 실제 구조물의 하중 조건과 유사한 probe 재하방법을 모사할 수 있는 수치모델을 구현하였으며 요소망의 조밀도에 의한 오차를 소거할 수 있는 분석 절차를 개발하였다. Mohr-Coulomb 소성모델을 사용하고 관련흐름법칙을 적용하여 지반의 내부 마찰각에 따른 수직-수평 조합하중에 대한 지지력 상관도와 경사계수를 산출하였다. Swipe 재하방법의 결과는 probe 재하방법을 사용한 결과와 유사함을 확인하였으며, 거친 바닥면 조건에서 수직-수평 조합하중 지지력 상관도의 내부 마찰각에 따른 변화는 미미하고, 원형기초에 대해서 연속기초 및 사각형기초와 동일한 경사계수를 적용할 수 있는 것으로 나타났다. 하중의 경사가 큰 경우에는 수치모델링을 통해 산출된 원형기초에 대한 지지력 상관도와 경사계수는 기존의 연구 결과보다 작게 평가되었으며, 수치모델링 결과에 영향을 미치는 요인과 향후 연구 방향에 대하여 고찰하였다.

• 한국지반공학회지:지반
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• 제12권3호
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• pp.127-148
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• 1996

최근에 들어 사면이나 사면 근처에 교대등과 같이 기초하중이 비교적 큰 구조물들이 시공되는 예가 점차 많아지는 경 향을 보이고 있다. 그러나 일반적으로 사면 또는 사면 근처 에 설치되는 기초의 경우는 수평지반에 비해 지지력이 현저하게 떨어지기 때문에, 말뚝이나 케이슨 등과 같은 고가의 깊은기초들이 주로 사용되고 있는 실정이다. 따라서 토목섬유 또는 metal strip등의 보강재를 이용하여 사면을 보강하는 경제적인 공법이 필요시 되고,또한 이와같은 공법에 관련된 합리적인 기초지지력 해석법의 제시가 요구되고 있다. 본 연구에서는 사면 근처에 설치되는 얕은 기초의 지지력 보강을 목적으로 strip등의 보강재를 설치할 경우, 'wide slab effect' 개념등 Huang및 Binquet-Lee등이 모형실험등을 통해 제시한 파괴매카니즘 및 Boussinesq해법 등을 토대로 하여 보강사면에 대한 기초지지력 해석법을 제시하였다. 본 해석법에서는 soil dilatancy 등의 영향에 의한 깊이별 보강재-주변흙 사이의 마찰계수 변화를 함수형태로 표현하여 보강재주변흙 사이의 상호작용을 부분적으로 고려하였으며, 아울러 본 연구를 통해 제시된 기초지지력 해석법의 적합성 검토를 위해 Huang등이 제시한 모형실험결과와 서로 비교하였다. 이외에도, 설계에 관련된 여러 변수들이 기초지지력에 미치는 영향에 대해서도 분석이 이루어졌다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2003년도 봄 학술발표회 논문집
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• pp.455-462
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• 2003

The current practice of estimating bearing capacity usually employs the conventional bearing capacity formula originally developed for strip footings under vertical central loading, In order account for the effect of footing shape and eccentricity and inclination of loads, correction factors are introduced in the formula, which are derived based on a number of small-scale model test observations. In this paper, comparison of several formulations of bearing capacity factors, as well as values of these factors, are presented. And the conventional bearing capacity equations are compared with some of other failure loci proposed for cohesive soil. Also, the bearing capacity of shallow foundation estimated by the conventional bearing capacity equations are compared with the experimental load test results.

• 산업기술연구
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• 제22권A호
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• pp.229-240
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• 2002

This paper is an experimental and numerical work of Investigating the bearing capacity of shallow foundation of rubble mound under eccentric loads. Parametric centrifuge model tests at the 50g level environments with the model footings in the form of strip footing were performed by changing the loading location of model footing, relative density and materials for ground foundation. For the model ground, crushed rock sampled from a rocky mountain was prepared with a grain size distribution of having an identical coefficient of uniformity to the field condition. Model ground was also prepared with relative densities of 50 % and 80 %. For loading condition, model tests with and without eccentric load were carned out to investigate the effect of eccentric loads and a numerical analysis with the commertially available software of FLAC was performed. For numerical estimation with FLAC, the hyperbolic model of a nonlinear elastic constitutive relationship was used to simulate the stress-stram constitutive relationship of model ground and a series of triaxial compression test were carried out to find the parameters for this model Test results were analyzed and compared with Meyerhof method (1963), effective area method based on the limit equilibrium method, and a numerical analysis with FLAC.

• Earthquakes and Structures
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• 제2권3호
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• pp.257-277
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• 2011

An evaluation is presented of the response of a 3-storey R/C structure during the destructive Lefkada earthquake of 14/08/2003. Key aspects of the event include: (1) the unusually strong levels of ground motion (PGA = 0.48 g, $SA_{max}$ = 2.2 g) recorded approximately 10 km from fault, in downtown Lefkada; (2) the surprisingly low structural damage in the area; (3) the very soft soil conditions ($V_{s,max}$ = 150 m/s). Structural, geotechnical and seismological aspects of the earthquake are discussed. The study focuses on a 3-storey building, an elongated structure of rectangular plan supported on strip footings, that suffered severe column damage in the longitudinal direction, yet minor damage in the transverse one. Detailed spectral and time-history analyses highlight the interplay of soil, foundation and superstructure in modifying seismic demand in the two orthogonal directions of the building. It is shown that soil-structure interaction may affect inelastic seismic response and alter the dynamic behavior even for relatively flexible systems such as the structure at hand.