Elastic Settlement Analysis for Various Footing Cases Based on Strain Influence Areas

Pantelidis, Lysandros

doi:10.1007/s10706-020-01290-w

Cited by 8 publications

(13 citation statements)

References 17 publications

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“…where E o = the soil modulus directly beneath the foundation base (z = 0), k E = the rate of increase of modulus with depth (units of E per unit depth) and z = the depth having modulus E(z). This has also been proved experimentally by the first author [29] performing a series of Dynamic Probing Light (DPL) tests on clean quarry sand. Indeed, this phenomenon occurs immediately after deposition and it is due to the increase of the density caused by the overburden mass in combination with the increased confinement at greater depths.…”

Section: Elastic Settlement Analysis Of Rigid Footings On Sandsmentioning

confidence: 74%

“…The goal of Figure 8 is to compare the effect of the different contact pressure distributions, assuming the same E value, which is also constant with depth. In reality, E may vary with depth; this is usually observed in sands, where E increases with depth (Gibson profile [32]), even immediately after deposition [29]. It is also very interesting that, as shown in Figure 9, when the effect of footing shape on the modulus of elasticity of soil is considered in the analysis, the L/B ratio of footing has, practically, minor effect on the derived settlement.…”

Section: Comparison With Existing Methods and Approachesmentioning

confidence: 91%

“…ratio ranges between 1 and 1.4 for the axisymmetric and plane strain condition, respectively. Very recently, Pantelidis [29,30] showed that the correct relationship is…”

Section: Elastic Settlement Of the Equivalent B × L Rectangular Footingmentioning

confidence: 99%

“…In a similar manner, any surcharge on the surface of the sand material will have an analogous impact. In this respect, it was suggested [29] that…”

Section: Elastic Settlement Analysis Of Rigid Footings On Sandsmentioning

confidence: 99%

“…The modulus of elasticity and in turn, the elastic settlement of shallow foundations may seriously be affected by various factors, such as the shape of the footing [29,30,33], the footing load (phenomenon occurring in sands; [29]), the embedment depth of footing [15,[34][35][36][37][38], and a possible water table rise into the influence depth of footing [39][40][41][42][43][44][45][46][47][48]. Creep in sands may also affect the settlement of shallow foundations (see [13,28]).…”

Section: Other Factors Affecting Elastic Settlement Of Shallow Foundationsmentioning

confidence: 99%

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Elastic Settlement Analysis of Rigid Rectangular Footings on Sands and Clays

Pantelidis

Gravanis

2020

Geosciences

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In this paper an elastic settlement analysis method for rigid rectangular footings applicable to both clays and sands is proposed. The proposed method is based on the concept of equivalent shape, where any rectangular footing is suitably replaced by a footing of elliptical shape; the conditions of equal area and equal perimeter are satisfied simultaneously. The case of clay is differentiated from the case of sand using different contact pressure distribution, whilst, additionally, for the sands, the modulus of elasticity increases linearly with depth. The method can conveniently be calibrated against any set of settlement data obtained analytically, experimentally, or numerically; in this respect the authors used values which have been derived analytically from third parties. Among the most interesting findings is that sands produce “settlement x soil modulus/applied pressure” values approximately 10% greater than the respective ones corresponding to clays. Moreover, for large Poisson’s ratio (v) values, the settlement of rigid footings is closer to the settlement corresponding to the corner of the respective flexible footings. As v decreases, the derived settlement of the rigid footing approaches the settlement value corresponding to the characteristic point of the respective flexible footing. Finally, corrections for the net applied pressure, footing rigidity, and non-elastic response of soil under loading are also proposed.

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Section: Elastic Settlement Analysis Of Rigid Footings On Sandsmentioning

confidence: 74%

Section: Comparison With Existing Methods and Approachesmentioning

confidence: 91%

“…ratio ranges between 1 and 1.4 for the axisymmetric and plane strain condition, respectively. Very recently, Pantelidis [29,30] showed that the correct relationship is…”

Section: Elastic Settlement Of the Equivalent B × L Rectangular Footingmentioning

confidence: 99%

“…In a similar manner, any surcharge on the surface of the sand material will have an analogous impact. In this respect, it was suggested [29] that…”

Section: Elastic Settlement Analysis Of Rigid Footings On Sandsmentioning

confidence: 99%

Section: Other Factors Affecting Elastic Settlement Of Shallow Foundationsmentioning

confidence: 99%

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Elastic Settlement Analysis of Rigid Rectangular Footings on Sands and Clays

Pantelidis

Gravanis

2020

Geosciences

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The Effect of Footing Shape on the Elastic Modulus of Soil

Pantelidis

2022

Research Developments in Geotechnics, Geo-Informatics and Remote Sensing

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Empirical Relationships Between the Elastic Settlement of Rigid Rectangular Foundations and the Settlement of the Respective Flexible Foundations

Pantelidis

2021

Geotech Geol Eng

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The problem of settlement of shallow foundations is among the most important ones in classical soil mechanics. And while for the settlement of flexible foundations elastic solutions are widely used, for rigid rectangular foundations where the actual contact pressure distribution is still unknown, the problem is approximated either analytically assuming a contact pressure distribution or semiempirically combining the theory of elasticity with experimental and/or numerical results. A third and often attractive choice is the use of simple empirical relationships or relevant tabulated values relating the elastic settlement of rigid foundations (q R ) with the settlement of the respective flexible foundations (e.g. at the center, q Ce ). Reviewing the relathionships of this third approach, the author revealed serious lack of consesous between the various sources; for example, according to the literature, q R ranges between 68 and 125% of q Ce , the time when it is well-known that q R \ q Ce . In this paper, comparison of the settlement of 210 rigid foundation cases derived from 3D elastic finite element analysis, with the settlement of the respective flexible foundations derived from the theory of elasticity, led to simple empirical relationships between q R and q Ce as well as between q R and q Av (q Av = average settlement of the flexible foundation) with coefficient of determination (R 2 ) almost unity. The analysis showed that these relationships are largely independent of the aspect ratio of foundations and the thickness and Poisson's ratio (m) of the compressible medium, although separate relationships are given for m = 0.5, slightly increasing R 2 . Finally, a correction factor for foundation rigidity is given exploting the known linear relationship that exists between the relative stiffness factor of foundations and settlement.

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Elastic Settlement Analysis for Various Footing Cases Based on Strain Influence Areas

Cited by 8 publications

References 17 publications

Elastic Settlement Analysis of Rigid Rectangular Footings on Sands and Clays

Elastic Settlement Analysis of Rigid Rectangular Footings on Sands and Clays

The Effect of Footing Shape on the Elastic Modulus of Soil

Empirical Relationships Between the Elastic Settlement of Rigid Rectangular Foundations and the Settlement of the Respective Flexible Foundations

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