• Geomechanics and Engineering
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• v.34 no.4
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• pp.381-396
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• 2023

The present paper evaluates seismic bearing capacity of rock masses subjected to loads of strip footings using the upper bound method. A general formula was proposed to evaluate the seismic bearing capacity considering both the horizontal and vertical accelerations of the earthquake and the effects of footing embedment depth simultaneously. Modified Hoek-Brown failure criterion was employed for the rock mass. Some comparisons were made with the available solutions and the finite element numerical models to show the accuracy of the developed upper bound formulations. The obtained results show significant improvement compared to the other available solutions. By increasing the horizontal earthquake acceleration from 0.1 to 0.3, the bearing capacity was reduced by up to 39%, while the effect of the vertical earthquake acceleration depends on its direction. An upward acceleration in the range of zero to 0.2 results in an increase in the bearing capacity by up to 24%, while the downward earthquake acceleration has an adverse effect. Also, by increasing the embedment depth of the footing from zero to 5 times the footing width, the value of seismic bearing capacity was raised about 86%. The obtained results were presented as design tables for use in practical applications.

• Proceedings of the Korean Geotechical Society Conference
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• 2010.09a
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• pp.3-25
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• 2010

The paper deals with two bearing capacity problems of shallow footing under combined loading. The first is a FEM study of shallow strip footing on two-layer clay deposits subjected to a vertical, horizontal and moment combined loading, while the second is a centrifuge study of shallow rectangular footing on dry sand under double eccentricity. The FEM results revealed that the existence of top soft layer sensitively affects more on horizontal and moment capacity than vertical capacity for cases of footing on soft clay overlying stiff clay. Practical design charts are presented to evaluate bearing capacities of footing for various combinations of the ratio of the depth of the upper layer to the footing width and the ratio of undrained strength of the upper layer to that of the lower. The centrifuge tests indicated that current design practice of calculating failure load of rectangular surface footing under double eccentricity underestimates the centrifuge loading test data. This trend is more marked when the eccentricity becomes larger. The decreasing trend in failure load with an increase of double eccentricity is rather uniquely expressed by a single curve, using a newly defined resultant eccentricity and the diagonal length of the footing base.

• Proceedings of the Korean Geotechical Society Conference
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• 2005.03a
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• pp.633-640
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• 2005

Most existing methods for the footing settlement estimation are for either isolated or strip footings. No sufficient details are available for settlement calculation of footings with different shapes and multiple footing conditions, which are commonly adopted in actual construction projects. In this paper, estimation of footing settlements for various footing conditions of different shapes and multiple conditions is investigated based on Schmertmann's method with focus on values of the strain influence factor $I_z$. In order to examine the effect of multiple footing conditions, field plate load tests are performed in sands using single and double plates. 3D non-linear finite element analyses are also performed for various footing conditions with different footing shape and distance ratios. Results obtained in this study indicate that there are two significant components in the strain influence diagram that need to be taken into account for settlement estimation of rectangular and multiple footings: depth of $I_{zp}$ and depth of strain influence zone. Based on results from experimental and 3D non-linear finite element analyses, improved strain influence diagrams available for various footing conditions are proposed.

• Proceedings of the Korean Geotechical Society Conference
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• 1997.11a
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• pp.75-86
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• 1997

• Journal of the Korea Academia-Industrial cooperation Society
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• v.16 no.2
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• pp.1477-1482
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• 2015

In order to find out the effect of embedment ratio on behavior compensated foundation, numerical analyses were performed. Bearing capacity ratios obtained from numerical analyses were greater than those obtained from theoretical equations and it could be seen that the bearing capacity ratio was proportional to the embedment ratio with only exception of the case of square footing in which bearing capacity ratio was increased rapidly with the embedment ratio. For the case of strip footing on sand, the bearing capacity ratios obtained from the numerical analyses and Meyerhof equation were similar with each other and magnitudes of those were as much as square of the embedment ratio but the bearing capacity ratios were little affected by the embedment ratios for the case of strip footing on clay. It can be said that the bearing capacity ratios obtained from the square footing are greater than those obtained from the strip footing. According to the numerical analysis, values of settlement ratios which correspond to the embedment ratio of one were about 0.4 and settlement ratios were decreased with increase of the embedment ratios. Settlement ratios of the loose sand were smaller than those of the dense sand and the clay.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.13 no.5
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• pp.245-254
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• 1993

In this study, the influence of eccentricity on bearing capacity of strip footing has been investigated by the model tests using the carbon rods, the upper bound method of limit analysis, and Meyerhof method of the limit equilibrium method. In applying the upper bound, the failure mechanism based on model tests was used. There was good agreement between the result of model tests and the upper bound method of limit analysis, but Meyerhof method yielded low bearing capacity and underestimated the effect of eccentricity on bearing capacity. Besides, the influences of footing width, embedment depth and base friction on the bearing capacity have been examined.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.15 no.1
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• pp.9-20
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• 2002

The purpose of this research is to develop computational procedures for studying nonlinear soil-structure interaction Problems. In orders to study soil-structure interaction behavior, the finite element analysis for the strip footing subjected to both vortical and lateral loads, and foundation layer reinforced with sheet pile are considered, interface elements are used between the footing and the soil to model the interaction behavior The main analyzed results are as follows; 1. For the prediction of settlement and lateral displacement, the result due to interface element was evaluated larger then without interface element. 2. For the determination of ultimate bearing capacity, the value using interface element appeared smaller by 12%, which was safe. 3. The horizontal and vertical displacement of strip footing affected by the presence of interface element.

• Geotechnical Engineering
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• v.10 no.2
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• pp.57-68
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• 1994

To find out the most efficient arrangement of root piles reinforcing sandy soil under a strip footing, a series of model tests for the patten A of by R.H. Bassett and N.C. Last are carried out. In the model test, the variables adopted are a pile length, longitudinal spacing, and the number of rows of piles. According to the results, the most efficient longitudinal spacing of piles is six times of a pile diameter. When the pile length exceeds five times of footing width, no further increase of reinforcing effect is observed. In the pattern A, piles of second row exhibit the largest reinforcing effect and the fifth row show no significant reinforcing effect on the soil.

• Journal of the Korean Geotechnical Society
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• v.17 no.3
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• pp.69-75
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• 2001

본 논문에서는 지하공동 위에 설치된 띠 기초의 지지력에 대하여 upper bound theory를 이용하여 연구하였다. 기초 크기, 공동의 크기 및 위치, 그리고 지반의 물성치의 영향에 관하여 고찰하였으며 10개의 파괴 형상에 대하여 분석을 수행하였다. 각각의 파괴형상은 지반의 물성치 및 기하학적인 형상에 관한 함수로 표현되어 컴퓨터 해석을 통한 최소화를 시행하였다. 최소화를 위한 프로그램은 Boland C++ Builder를 이용하여 작성한 후 PC에서 수행되었다. 10개의 파괴형상 중 최소의 기초 지지력을 작성된 컴퓨터 프로그램을 통하여 구하였고 이를 해당 기초의 극한 지지력으로 추정되었다. 본 연구의 결과를 종합 정리하여 지하공동 위에 위치한 띠 기조의 극한 지지력을 구할 수 있는 간단한 식을 제시하였다.

• Geotechnical Engineering
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• v.13 no.4
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• pp.37-54
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• 1997

This paper is to investigate the bearing capacity and the failure mechanism of slope subjected to strip surcharges adjassent to embankment slope of sandy soil. Parametric model tests under plain strain condition were performed by changing width of footing, relative density of slope materials, and position of footing from the crest of slopes. For model tests, Jumunjin standard sand was used as the slope material and its relative density was 45% and 70%, respectively. The angle of slope was formed with 1 : 1.5 and 1 2. Rigid model footings, made of aluminuu were used with their widths of 4, 7, 10 and 12cm. For the position of model footing, position ratios, distance of model footing from the crest of slope divided by footing width, were 0, 0.5, 1, 2, 3, 4, 5. Failure mechanism was observed by using ink colored sands and markers inserted in model slopes. Ultimate bearing capacity obtained from tests was analyzed and compared with limit equilibrium method, limit analysis method and empirical equation. Characteristics of load-settlement curves and failure mechanism were also analyzed and compared with the existing theories. Thus, their effects on ultimate bearing capacity of model footing adjacent to slope were assessed.