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本文假设单桩受轴向荷载作用后,桩与岩(土)面可能发生相对滑移,滑动面(剪切面)在桩侧附近的岩(土)层中,与桩侧面平行,桩侧摩阻力的大小与相应处的岩(土)抗剪强度有关,并与桩身横载面的轴向位移成践性关系。据此列出桩在轴向受力状态下的微分方程,利用有限差分原理,并将桩端阻力和轴向位移视为已知边界条件,从桩下端的单元开始,递推求出各单元中点处的轴向位移、轴向力增量和桩侧摩阻力,进而求得考虑桩侧摩阻力存在的单桩总承载力。
In this paper, it is assumed that the pile and the rock (soil) surface may slip relative to each other when the single pile is subjected to axial load. The sliding surface (shearing surface) is in the rock (soil) layer near the pile side, parallel to the side of the pile, pile side The friction resistance is related to the shear strength of the rock (earth) in the corresponding place, and it is in a practical relationship with the axial displacement of the bearing surface of the pile. According to this, the differential equations of piles under axial force are listed. Using the principle of finite difference, and considering the tip resistance and axial displacement as known boundary conditions, the unit at the bottom of the pile is used to recursively calculate each unit. The axial displacement at the midpoint, the axial force increment and the pile side frictional resistance, and then the total bearing capacity of the single pile considering the pile side friction resistance is obtained.