Das, Arka Jyoti and Mandal, Prabhat Kumar and Bhattacharjee, Rana and Tewari, Subhashish and Ghosh, Nilabjendu and Kumar, Ranjan (2025) Analysis of failure characteristics, 3D stress distribution and strength evaluation of rectangular and long coal pillars through analytical solution and numerical simulation with field validation. Acta Geotechnica.

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Abstract

The stress distributions vis-à-vis failure characteristics of rectangular pillars are different from those of square pillars. Most of the studies explicate the characteristics of square pillars by analysing the effects of two geometric parameters, i.e. width and height. However, the effects of a pillar’s length are scanty in the literature. The increase in the length of the rectangular pillar leads to an increase in the strength of the rectangular pillar. Generally, the stability of rectangular pillars is evaluated by incorporating the concept of effective width in the existing strength formulae of square pillars. Nevertheless, existing effective-width formulae tend to overestimate rectangular pillar’s strength, potentially leading to unexpected failures. In this manuscript, a comprehensive study has been carried out for analysis of failure characteristics, 3D stress distribution and evaluation of strength by the concept of effective width of rectangular and long coal pillars. The characteristics of rectangular/long pillars are evaluated and suitable formulae of effective width are developed by the analytical and numerical simulation approaches. Parametric study through numerical modelling reveals that the rectangular pillar’s strength increases with the increase in its length and becomes asymptotic in nature. The results of the numerical simulation are used to derive the formula for effective widths of rectangular/long pillars by regression analysis. The developed formulae are validated by an adequate number of failed and stable rectangular and long pillar conditions. It is found that the existing effective-width formulae do not predict all the cases correctly, while the formulae developed in this study are well validated with the actual conditions of rectangular and long pillars. Thus, this study will help to improve safety through the proper design of rectangular and long pillars by understanding failure characteristics and stress distribution.

Item Type: Article
Uncontrolled Keywords: Aspect ratio Effective width Induced stress Pillar strength Rectangular pillar Web pillar
Subjects: Beach Placer Mining
Thick Seam Mining
Divisions: UNSPECIFIED
Depositing User: Mr. B. R. Panduranga
Date Deposited: 20 Jan 2026 09:08
Last Modified: 20 Jan 2026 09:09
URI: https://cimfr.csircentral.net/id/eprint/2911

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