Rigid Spread Footings Resting on Soil Subjected to Axial Load and Biaxial Bending. I: Simplified Analytical Method

Rodriguez-Gutierrez, J. A.; Aristizábal-Ochoa, J. Darío

doi:10.1061/(asce)gm.1943-5622.0000218

Cited by 14 publications

(4 citation statements)

References 26 publications

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“…Several analytical and graphical methods for solving this problem are available [1,[5][6][7][8] but the introduction of tetrahedrons and matrices simplifies the solution. There are certainly other numerical and higher level math solutions.…”

Section: Calculation Methodsmentioning

confidence: 99%

Footing Soil Pressure from Biaxial Loading

Moffitt

2019

Civ Eng J

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A symmetrical isolated rectangular footing with centered biaxial overturning develops soil pressure that shifts to counter balance the loads. The highest soil pressure is at a corner. The objective of this paper is to extend the uniaxial soil pressure solution to include biaxial loads and to document a simple and understandable way to directly calculate the shape of the soil pressure distribution. Another objective is to make the solution suitable for automation. In uniaxial overturning there are two transition shapes, trapezoidal and triangular. In biaxial overturning there are three transition shapes and they form 4, 5 & 6 sided polyhedrons. This analysis calculates those volumes and compares them to the design vertical load to determine the characteristic shape of the soil pressure distribution. The calculation then proceeds to converge on the precise shape and calculate its centroid and moment capacity. Assemblies of tetrahedrons are used to model all of the soil pressure shapes. The advantage of this methodology is that matrix algebra can be used to organize the calculations and make them computationally efficient. The assumed soil pressure and footing dimensions can be adjusted until the calculated moment capacity matches the overturning moment.

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Section: Calculation Methodsmentioning

confidence: 99%

Footing Soil Pressure from Biaxial Loading

Moffitt

2019

Civ Eng J

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“…Bouassidaet al [9] determined lower bounds on the bearing capacity of a rigid foundation on a soil reinforced by a group of floating columns using limit analysis in terms of a dimensionless factor that depends on the characteristics of the soil and the inclusion, the area replacement ratio, the columns length, and a uniform surcharge surrounding the foundation. More recently, Rodriguez-Gutierrez and Aristizabal-Ochoa [10] developed a simplified analytical method that determines the axial load and biaxial moment capacities of a rigid spread footing of regular or arbitrary shape resting on soil with consideration of either uniform, linear or parabolic pressure distribution at the soilfooting interface.…”

Section: Previous Researchmentioning

confidence: 99%

Development of Relative Rigidity Measure for Shallow Foundations

Tabsh,

Elemam

2023

IJCI

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This study investigates the influence of the structureto-soil relative rigidity on the structural behaviour of shallow foundation. The effect of change in the material and geometrical properties on the critical soil pressure intensity, bending moment and shear force of spread footings and rafts is investigated numerically using the finite element method. The parameters that are addressed in the analysis include the foundation thickness, soil modulus of subgrade reaction, concrete modulus of elasticity and plan geometry of the foundation. The foundation is modelled by thick shell elements while the soil by Winkler elastic springs. Findings of the study showed that the most important variables that affect the structural response of shallow foundations are the thickness and plan dimensions of the foundation, and to a lesser extent the soil modulus of subgrade reaction and concrete modulus of elasticity. A relative foundation-to-soil rigidity measure that can quantitatively predict the degree of stiffness of a shallow foundation was developed. The rigidity measure can help engineers in forecasting whether the traditional rigid foundation approach can be safely used to analyse a given spread footing or raft.

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“…Las investigaciones sobre la capacidad portante de zapatas poco profundas sometidas a flexión biaxial han sido presentadas por: Gonzalez-Garcia [15], Irles-Más and Irles-Más [16], Rodriguez-Gutierrez and Aristizabal-Ochoa [17], Camero [18], Chagoyén et al [19], Ramu and Madhav [20], Özmen [21], Smith-Pardo [22], Valencia et al [23], Rodriguez-Gutierrez and Aristizabal-Ochoa [24,25], Cunha and Albuquerque [26], Luévanos-Rojas [27], Hassaan [28], Momeni et al [29], Camero [30], Kassouf et al [31], Luévanos-Rojas et al [32], Da Silva et al [33], Munévar-Peña et al [34], Rodrigo-García et al [35], López-Chavarría et al [36], Liu and Jiang [37], Al-Abbas et al [38], Gnananandarao et al [39], Alelvan et al [40], Lezgy-Nazargah et al [41], Gör [42], Himeur et al [43].…”

Section: Introductionmentioning

confidence: 99%

Estudio comparativo para áreas mínimas en contacto con el suelo de zapatas aisladas rectangulares y circulares trabajando parcialmente bajo compresión

Luévanos-Rojas,

Estrada-Mendoza,

Juárez-Ramírez

2024

Bol. Cienc. Tierra

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Este trabajo presenta un estudio comparativo para áreas mínimas en contacto con el terreno de ZAR (zapatas aisladas rectangulares) y ZAC (zapatas aisladas circulares) que trabajan total MA (Modelo Actual) o parcialmente NM (Nuevo Modelo) a compresión. La metodología se describe utilizando las ecuaciones desarrolladas por el mismo autor para ZAR y ZAC. Principales hallazgos: las ZAR bajo flexión uniaxial tienen menos área que las ZAC en el MA y en el NM; El NM presenta menor área que el MA para ZAR y ZAC bajo flexión biaxial en todos los casos; El NM para ZAC muestra menos área que las ZAR, cuando los momentos son iguales y la relación de la carga axial dividida por el momento es 0.75 o mayor, cuando el momento más pequeño dividido por el momento más grande está entre 0.50 y 0.75, y la carga axial es mayor que el momento más grande. Por ello, se recomienda realizar un estudio previo para elegir el tipo de zapata.

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Rigid Spread Footings Resting on Soil Subjected to Axial Load and Biaxial Bending. I: Simplified Analytical Method

Cited by 14 publications

References 26 publications

Footing Soil Pressure from Biaxial Loading

Footing Soil Pressure from Biaxial Loading

Development of Relative Rigidity Measure for Shallow Foundations

Estudio comparativo para áreas mínimas en contacto con el suelo de zapatas aisladas rectangulares y circulares trabajando parcialmente bajo compresión

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