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May 8, 2026Industrial Construction0 citations

Determination of the Constant Modulus of Horizontal Subgrade Reaction of Saturated of Sand Pile Based on p-y Curve

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XLXiaoming LouHWHao WuGGGuoqing GU

Key Points

  • This research aims to link the coefficient 'm' in the m-method to the internal friction angle 'φ' in saturated sand piles.
  • Conducted extensive numerical calculations to establish relations among φ, pile diameter, allowable pile-head displacement, and coefficient m.
  • Developed formulas and tables for easy reference to calculate m values based on different parameters.
  • Found that the stiffness of the pile shaft minimally affects the established relations.
  • In three practical cases, the calculated lateral bearing capacities using the new m values closely matched measured results.

Abstract

The p-y curve for laterally loaded piles in saturated sand is related to the internal friction angle φ. However, the coefficient m used in the m-method is selected from empirical ranges in code tables and is not linked to φ. Under the condition of the same allowable pile-head displacement, the horizontal load H0 calculated by p-y curve method can be substituted into the m-method model to determine the corresponding m value. Based on extensive numerical calculations, relations were established among the internal friction angle φ, pile diameter, allowable pile-head displacement, and the coefficient m for saturated sand. These results were presented as formulas and tables to allow for convenient lookup. It was found that the stiffness of the pile shaft had a negligible influence on these relations. In three practical cases, the allowable lateral bearing capacities computed with the m values from this method showed good agreement with the measured results.

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Cite This Study

Lou et al. (2026) studied this question.

synapsesocial.com/papers/69fd7e79bfa21ec5bbf06b84https://doi.org/10.3724/j.gyjzg24011008
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