Application of the structural mechanics method to calculate the internal force sharing ratio of anchor cable and anti-slide pile for retaining structure
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摘要:
锚索抗滑桩为常用的滑坡治理支护结构，抗滑桩锚固于滑动面以下岩土体中，锚索可视为多余约束，因此锚索抗滑桩为多次超静定结构。结构力学力法作为求解超静定结构的基本方法之一，以锚索拉力为基本未知量，综合考虑平衡条件、变形条件、物理条件求解锚索轴力，从而进一步确定锚索与抗滑桩各自分担的滑坡推力比例。文中以具体滑坡工程实例，采用力法求解锚索、抗滑桩结构内力，并建议锚索与抗滑桩的荷载分担比初步可按照30%～40%估算。
Abstract:The anchor cable anti-slip pile is a generally-used retaining structure for landslide control. The anchor cable is anchored in the rock mass below the sliding surface, so the anchor cable can be regarded as redundant constraint. Therefore, the anchor cable anti-slide pile are multiple statically indeterminate structures. As one of the basic methods for solving statically indeterminate structures, the structural mechanics force method takes anchor cable tension as the basic unknown quantity, through considering the balance condition, deformation condition and physical condition, the axial force of anchor cable was solved, and then the proportion of landslide thrust shared by anchor cable and anti-slide pile was further determined. In this paper, the structural mechanics method is used to solve the internal force of anchor cable and anti-slide pile, and it is suggested that the load sharing ratio between anchor cable and anti-slide pile can be estimated according to 30%~40%.
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表 1 抗滑桩处剩余下滑力计算结果
Table 1. Calculation results of the residual landslide thrust at anti-slide pile
Ⅰ型抗滑桩（后排） Ⅱ型抗滑桩（前排） 主轴断面 桩后条块下滑力
/kN桩前抗力
/kN剩余下滑力
/kN前后排桩分担比
/%桩后条块下滑力
/kN桩前抗力
/kN剩余下滑力
/kN前后排桩分担比
/%HP1—HP1′ 814.34 154.26 660.08 80.4 161.32 0 161.32 19.6 HP2—HP2′ 596.45 116.82 479.63 73.6 172.41 0 172.41 26.4 
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表 2 抗滑桩桩身锚索荷载分担比
Table 2. The load sharing ratio of anchor cable in anti-slide pile
Ⅰ型抗滑桩（后排） Ⅱ型抗滑桩（前排） 主滑剖面 剩余
下滑力
P/（kN·m−1）锚索
水平力X1·cosθ/（kN·m−1）锚索
水平力X2·cosθ/（kN·m−1）锚索轴力占比/% 剩余
下滑力
P/（kN·m−1）锚索
水平力X1·cosθ/（kN·m−1）锚索轴力占比/% HP1—HP1′ 660.08 123.17 109.18 35.2 161.32 62.26 38.6 HP2—HP2′ 479.63 98.62 80.76 37.4 172.41 67.58 39.2
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表 3 抗滑桩桩身锚索轴力计算结果
Table 3. Anchor cable calculation results of axial force in anti-slide pile
Ⅰ型抗滑桩 Ⅱ型抗滑桩 主滑剖面 锚索轴向力
X1/kN锚索轴向力
X2/kN锚索轴向力
X1/kNHP1—HP1′ 655.4 580.9 360 HP2—HP2′ 524 430 390
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