This paper presented a calculation method for determining the optimal anchor length in pile foundation retaining structures,addressing the limitations of analytical approaches in computing the optimal anchor length and the absence of pertinent design functions in numerical computation software.The proposed method,grounded in numerical techniques,equates the pile foundation retaining structure to girder elements and the anchored soil layer to spring elements.By examining the variation patterns of anchor length and ground settlement,it employs a dichotomy-inspired iterative process to ascertain the anchor length that yields the maximum allowable ground displacement.Consequently,the optimal anchor length,along with the corresponding internal forces and deformations of the structure,is obtained.Characterized by broad applicability,this method is applicable to various types of retaining structures,encompassing single and multi-layered soil pile foundations,as well as different retaining structures such as anti-slide piles,cable bolt piles,chair piles,and cable-bolt chair piles.In comparison to conventional analytical methods,it offers a unified approach to tackle computational problems under diverse soil conditions and structural configurations,circumventing the challenge of obtaining analytical solutions.Moreover,the calculation procedure is straightforward and conducive to programmed application in practical engineering scenarios.
pile foundation retaining structureanchor depthoptimal valuedichotomy methodallowable deformation
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