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Numerical Evaluation of Settlement and Stresses of Annular Raft

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Abstract

This research assessed the settlement of annular raft foundations resting on an elastic half space by numerical simulations using the elastic continuum approach. The main objective of this research is to analyse the annular raft stresses and the settlement behaviour of annular raft foundation. This paper completely reinvents the analysis of annular raft settlement and stresses. The settlement of an annular raft is computed in the form of non-dimensional parameter, settlement influence factor. A mathematical formulation and numerical integration scheme are developed to assess the behaviour of annular raft in the terms of settlement influence factor and stresses beneath it and computed results are shown in the form of design charts. In this present work, the settlement and stress analysis of annular raft is compared with that of the solid raft. According to present study, in comparison to the solid raft, the annular raft foundation is a more cost-effective and serviceable.

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Abbreviations

\(p_{{\text{r}}}\) :

Raft stresses

\(I_{{\text{r}}}\) :

Settlement influence factor of raft

\(p_{{\text{r}}}^{*}\) :

Normaized Raft stresses

\(k_{{\text{r}}}\) :

No. of equal area annular rings

\(k_{{\text{t}}}\) :

No. of angluar division of the raft

\(E_{{\text{s}}}\) :

Modulus of elasticity of the soil

\(\left\{ {{\uprho }_{{\text{s}}} } \right\} \,\) :

Normalized soil displacement matrix

\(D_{{\text{r}}}\) :

Annular ratio

\(r\) :

Radial distance of raft nodes from centre

\(R\) :

Normalized radial distance for solid raft

\(R^{*}\) :

Normalized radial distance for annular raft

\(q\) :

Total stresses on the raft

\(d_{{\text{i}}}\) :

Inner diameter of the annular raft

\(d_{{\text{o}}}\) :

Outer diameter of the annular raft

\(\nu_{{\rm s}}\) :

Poisson′s ratio of the soil

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  1. Department of Civil Engineering, Rajasthan Technical University, Kota, Rajasthan, India

    Ajay Pratap Singh Rathor & Jitendra Kumar Sharma

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  1. Ajay Pratap Singh Rathor
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Rathor, A.P.S., Sharma, J.K. Numerical Evaluation of Settlement and Stresses of Annular Raft. J. Inst. Eng. India Ser. A 104, 187–193 (2023). https://doi.org/10.1007/s40030-022-00707-4

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