Analysis of Active Earth Pressure on Circular Vertical Shafts Considering Arching Effects and Interlayer Shear Stresses

YANG Shuai; Lü Bing; LI Dongsheng; LIU Yang; YANG Huan

doi:10.21656/1000-0887.450313

Volume 46 Issue 10

Oct. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(10): 1307-1319

YANG Shuai, Lü Bing, LI Dongsheng, LIU Yang, YANG Huan. Analysis of Active Earth Pressure on Circular Vertical Shafts Considering Arching Effects and Interlayer Shear Stresses[J]. Applied Mathematics and Mechanics, 2025, 46(10): 1307-1319. doi: 10.21656/1000-0887.450313

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Analysis of Active Earth Pressure on Circular Vertical Shafts Considering Arching Effects and Interlayer Shear Stresses

doi: 10.21656/1000-0887.450313

1. The Second Engineering Company Ltd of CCCC Third Highway Engineering Co.,Ltd., Tianjin 301800, P.R.China;
2. School of Future Cities, University of Science and Technology Beijing, Beijing 100083, P.R.China

Received Date: 2024-11-18
Rev Recd Date: 2024-12-23

Available Online: 2025-11-13

Abstract

Abstract

The active earth pressure on circular vertical shafts with non-cohesive backfill was investigated, for a slip surface assumed as a straight line through the heel of the wall. Given the linear variation of the circumferential stress coefficient along the radial direction, static equilibrium equations for the entire sliding soil mass were established with the limit equilibrium method. Then an analytical expression was formulated for the inclination angle of the slip surface in the active limit state of the circular vertical shaft. Subsequently, the spatial arching effects and interlayer shear stresses were incorporated, and the theoretical solution of the active earth pressure was derived based on the horizontal element analysis method. The factors influencing the active earth pressure were further analyzed and compared with existing theoretical and experimental results. The results indicate that, the interlayer shear force affects the distribution of the active earth pressure strength along the depth direction, and the greater of the radius to the height ratio and the wall-soil friction angle are, the more obvious the influence of the interlayer shear force will be. The calculated earth pressure value with the interlayer shear force can provide a theoretical reference for the optimization design of the shaft structure. The findings effectively describe the trend of earth pressure increasing and then decreasing with the depth and show good agreement with experimental and numerical simulation results.
- active earth pressure,
- circular shaft,
- spatial arching effect,
- interlayer shear stress,
- circumferential stress coefficient

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References(30)

References

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