New Formulations of Boussinesq Solution for Vertical and Lateral Stresses in Soil

Frazee, Glenn R.

doi:10.1061/(asce)sc.1943-5576.0000567

Cited by 10 publications

(4 citation statements)

References 3 publications

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“…Vienas iš svarbiausių veiksnių, lemiančių tinkamą grunto sankasos elgsenos prognozavimą,apkrovų parinkimas atliekant sankasos grunto sluoksnių bandymus (Giwangkara et al, 2020). Grunto bandymuose taikomas apkrovas galima parinkti apskaičiuojant įtempių sklidimą vertikalia ir horizontalia kryptimi (Frazee, 2021). Vertikalūs įtempiai nusako papildomų apkrovų sankasoje gylį nuo ją veikiančių automobilių apkrovų.…”

Section: įVadasunclassified

Analysis of the Traffic Load–induced Stresses of Embankment

Zakarka

2022

Science - Future of Lithuania

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This article represents traffic loads on the road structure distribution and evaluation of the vertical and horizontal stresses formation in the soil embankment. This evaluation allows to predict the depth and intensity of the propagation of additional stresses resulting from traffic loads. The calculations were performed in accordance with four normative documents applied in Lithuania, which define the loads on the road structure. The obtained results showed that the area to which the load is distributed has the greatest influence on the intensity of stresses and the distance of propagation. The maximum horizontal stress in the embankment was found to be no more than 70 kPa and the maximum stress propagation depth did not exceed 0.9 m. The results can be applied to a triaxial test apparatus to restore horizontal stresses in the embankment. It is recommended to select a lateral pressure from 20 kPa to 70 kPa for tests provided with triaxial test device. The mechanical properties of the soil determined with triaxial test device and recommended lateral pressure would be representative of the test results obtained in the field of embankment.

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Section: įVadasunclassified

Analysis of the Traffic Load–induced Stresses of Embankment

Zakarka

2022

Science - Future of Lithuania

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“…Frazee [18] considered the Boussinesq formula used in the determination of vertical stresses. In the study, new closed solutions are presented in the form of cartesian coordinate functions for different load cases.…”

Section: Introductionmentioning

confidence: 99%

Experimental and Numerical Studies of Vertical Stresses Beneath the Circular Footings on Sand

2023

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This paper presents experimental and numerical studies of the vertical stress distribution beneath the centerline of circular footings resting on sand. Vertical stress values due to circular load in medium-dense sand were measured using soil stress transducers. Reduced-scale laboratory model tests were carried out in a square-shaped test box, and vertical stresses were measured at the centerline of the circular footing at different depths of the sand. In order to determine the effect of footing width on vertical stress distribution, laboratory experiments were performed on circular footings of different diameters. In addition, a series of finite element analyses was carried out on the test model to validate the findings of the experimental study. In the numerical analysis, the sand was modeled as a non-linear elastoplastic material. The analyses were performed using the finite element method with two-dimensional axisymmetric and three-dimensional conditions. The results obtained from laboratory model tests and numerical analysis were compared with the vertical stress values obtained from the theoretical solution in the literature. Vertical stress distribution in horizontal planes at any depth from the footing base shows the same characteristic form in all methods. However, some differences were observed between experimental, numerical, and theoretical results and were discussed.

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“…Similarly, the traffic load is applied as a distributed load. Following the assumption of Boussinesq solution where a semi-infinite elastic soil exists below the surface of the applied load, Frazee [9] proposed closed-form solutions for three-dimensional finite area load of the Boussinesq solution, in accordance to the Cartesian coordinates of the evaluated point. The 3-D Boussinesq solution for finite area load is given in Equation (2a).…”

Section: Boundary and Loading Conditionsmentioning

confidence: 99%

“…Point a,b,c, and d in Equation (2b) correspond to each corner of the finite area load. Readers are referred to Frazee [9] for the order of the corners. The coordinates for each corner are then applied to Equation (2b) by substituting β and δ for the corresponding corners.…”

Section: Boundary and Loading Conditionsmentioning

confidence: 99%

Detailed distinct element modeling of a Utrecht wharf cellar for the assessment of the load-bearing capacity and failure mechanism

Oktiovan,

Messali,

Rots

Proceedings of the Seventeenth International Conference On Civil, Structural and Environmental Engineering Computing

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The city of Utrecht is famously known for the system of canals and the wharf cellars integrated to the heart of the city, whose construction dates back to the 1300s. Due to increased traffic volume which caused the increase in dead load and traffic load, it is important to assess the safety and state of maintenance of these historical structures. In this paper, a safety assessment framework for wharf cellars is introduced and the application to a wharf cellar as a case study in central Utrecht is provided. The geometry of the wharf cellar is parametrically generated and used for the numerical analysis using the distinct element method (DEM), where arch units and piers are modeled as discrete blocks separated by zero-thickness interfaces. Traffic load models in accordance with the Dutch guideline for emergency vehicles are calculated. Unlike traditional approaches, the three-dimensional load distribution through the soil is modeled. The structure's compliance with this load is assessed, and the failure load and mechanism are observed. The analysis result can be used to help engineers on providing insights into the safety and stability of the cellars in an effort to extend the lifespan of the historical structures.

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New Formulations of Boussinesq Solution for Vertical and Lateral Stresses in Soil

Cited by 10 publications

References 3 publications

Analysis of the Traffic Load–induced Stresses of Embankment

Analysis of the Traffic Load–induced Stresses of Embankment

Experimental and Numerical Studies of Vertical Stresses Beneath the Circular Footings on Sand

Detailed distinct element modeling of a Utrecht wharf cellar for the assessment of the load-bearing capacity and failure mechanism

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