High Computational Efficiency Through Generic Analytical Formulation for Linear Soil Pressure Distribution of Rigid Spread Rectangular Footings

Bellos, John; Bakas, Nikolaos

doi:10.7712/100016.2015.5100

Cited by 2 publications

(2 citation statements)

References 11 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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“…In the case of large eccentricities that is, where the neutral axis passes through the footing, this solution is not valid since for the analysis of the stresses is necessary to use other theories, as shown in the researchers developed by [6][7][8][9]. Figure 5 shows an area subjected to any under biaxial bending, where stress are different in the four corners of the contact surface.…”

Section: Development Of Algorithmsmentioning

confidence: 99%

Dimensioning of Isolated Footing Submitted to the under Biaxial Bending Considering the Low Concrete Consumption

Filho¹,

Carvalho²,

Christofóro³

et al. 2017

ijme

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This research presents the development and implementation area of algorithms for geometric dimensioning rigid-foot-isolated reinforced concrete subjected to the under biaxial bending. The area algorithms are valid for square footing, homothetic to the pillar with equal Bludgers and a rectangular dimension unrelated to the pillar. In the development of algorithms, it is considered that the load is positioned within the central core footing inertia, i.e., applicable only in cases of small eccentricities. This issue is relevant when considering that normally the geometry of footing subjected to under biaxial bending with poor accuracy is calculated, resulting in inaccurate dimensions therefore may increase the cost of the element. In addition to the assumptions and analyzes used in the development algorithms, several numerical examples are shown to demonstrate their efficiency. Examples were prepared considering the concrete consumption for each geometric type of footing. Ultimately, a comparison is made between the results, setting the most economical type of geometry in terms of consumption of concrete.

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High Computational Efficiency Through Generic Analytical Formulation for Linear Soil Pressure Distribution of Rigid Spread Rectangular Footings

Cited by 2 publications

References 11 publications

Footing Soil Pressure from Biaxial Loading

Footing Soil Pressure from Biaxial Loading

Dimensioning of Isolated Footing Submitted to the under Biaxial Bending Considering the Low Concrete Consumption

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