• 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.

• 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.

• Geomechanics and Engineering
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• 제39권1호
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• pp.13-26
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• 2024

Studies pertaining to the seismic bearing capacity analysis of skirted footings using the pseudo-static approach for estimation of the earthquake force in association with finite element method have been presented in this paper. An attempt has been made to explain the behaviors of the skirted footings by means of failure patterns obtained for rigid and flexible skirts. The skirts enhance the seismic bearing to some extent with an increase in seismic loading, after which it decreases nonlinearly. The effectiveness of skirts increases initially to some extent with an increase in seismic loading, after which it decreases nonlinearly. Other parameters that inversely affect the effectiveness of skirts are the depth of footing and the internal friction angle of the soil. The detailed finite element analysis regarding the various failure patterns of skirted footings under seismic forces shows the failure mechanism changes from a general shear failure to local shear failure with an increase in seismic force. An opposite trend has been observed with the increase in the angle of internal friction of the soil. The obtained analysis results suggest that a rigid skirted footing behaves similar to a conventional strip footing under seismic and static loadings. The excessive deflection of flexible skirts under combined gravity and seismic loading renders them relatively ineffective than rigid skirts.

• Geomechanics and Engineering
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• 제4권4호
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• pp.263-279
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• 2012

The present paper deals with the analysis of combined footings resting on geosynthetic reinforced granular fill overlying stone column improved poor soil. An attempt has been made to study the influence of inclusion of geosynthetic layer on the deflection of the footing. The footing has been idealized as a beam having finite flexural rigidity. Granular fill layer has been represented by Pasternak shear layer and stone columns and poor soil have been represented by nonlinear Winkler springs. Nonlinear behavior of granular fill layer, stone columns and the poor soil has been considered by means of hyperbolic stress strain relationships. Governing differential equations for the soil-foundation system have been derived and solution has been obtained employing finite difference scheme by means of iterative Gauss Elimination method. Results of a detailed parametric study have been presented, for a footing supporting typically five columns, in non-dimensional form in respect of deflection with and without geosynthetic inclusion. Geosynthetic layer has been found to significantly reduce the deflection of the footing which has been quantified by means of parametric study.

• 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.

• Earthquakes and Structures
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• 제16권6호
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• pp.691-704
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• 2019

This study simulates the responses of large-scale bridge piers under pseudo-dynamic tests to investigate the performance of four types of numerical models that consider the nonlinear behavior of the pier and the rocking behavior of the footing. In the models, beam-column elements with plastic hinges are used for the pier, two types of foundation models (rotational spring and distributed spring models) are adopted for the footing behavior, and two types of viscous damping models (Rayleigh and dashpot models) are applied for energy dissipation. Results show that the nonlinear pier model combined with the distributed spring-dashpot foundation model can reasonably capture the behavior of the piers in the tests. Although the commonly used rotational spring foundation model adopts a nonlinear moment-rotation property that reflects the effect of footing uplift, it cannot suitably simulate the hysteretic moment-rotation response of the footing in the dynamic analysis once the footing uplifts. In addition, the piers are susceptible to cracking damage under strong seismic loading and the induced plastic response can provide contribution to earthquake energy dissipation.

• 한국지반공학회논문집
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• 제30권3호
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• pp.59-72
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• 2014

모래지반 표면에 위치한 강체 원형기초를 대상으로 수치해석을 통하여 수직-모멘트 조합하중 조건에서의 지지력을 구하였다. 지반은 Mohr-Coulomb 소성모델을 이용하여 모델링하였으며 관련흐름법칙을 적용하였고, 거친 기초 바닥면 조건에 대하여 검토하였다. 적은 수의 해석으로 조합하중 상관도를 산출할 수 있는 swipe 재하 방법과 통상적인 재하실험에서 적용되는 probe 재하 방법을 적용하여 비교한 결과, 두 방법은 유사한 결과를 나타내었다. 모멘트하중을 고려하기 위하여 전통적으로 사용되는 유효폭 및 유효면적 개념을 사용한 결과와 편심계수($e_{\gamma}$)를 사용한 방법들을 비교하였으며, 기존의 제안식들과 수치모델링으로 구해진 본 연구의 결과를 비교하였다. 수직-모멘트 조합하중 지지력의 내부마찰각에 따른 변화는 미미한 것으로 나타났으며, 유효폭 개념은 편심계수의 형태로 변환하여 원형기초에도 그대로 적용이 가능한 것으로 나타났다. 본 연구의 수치모델링 결과는 기존의 실험에 기반한 결과들에 비해 다소 작은 값을 주는 것으로 나타났으며, 편심 및 모멘트하중이 증가할수록 그 차이는 증가하였다. 수치모델링과 실험 결과가 차이를 나타내는 요인과 향후 연구 방향에 대하여 고찰하였다.

• Earthquakes and Structures
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• 제8권3호
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• pp.591-617
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• 2015

Standards for seismic assessment and retrofitting of buildings provide deformation limit states for structural members and connections. However, in order to perform fully consistent performance-based seismic analyses of soil-structure systems; deformation limit states must also be available for foundations that are vulnerable to nonlinear actions. Because such limit states have never been established in the past, a laboratory testing program was conducted to study the rotational capacity of small-scale foundation models under combined axial load and moment. Fourteen displacement-controlled monotonic and cyclic tests were performed using a cohesionless soil contained in a $2.0{\times}2.0{\times}1.2m$ container box. It was found that the foundation models exhibited a stable hysteretic behavior for imposed rotations exceeding 0.06 rad and that the measured foundation moment capacity complied well with Meyerhof's equivalent width concept. Simplified code-based soil-structure analyses of an 8-story building under an array of strong ground motions were also conducted to preliminary evaluate the implication of finite rotational capacity of vulnerable foundations. It was found that for the same soil as that of the experimental program foundations would have a deformation capacity that far exceeds the imposed rotational demands under the lateral load resisting members so yielding of the soil may constitute a reliable source of energy dissipation for the system.