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根据常微分方程的标准基本解,本文导出在侧向荷载与垂直轴力作用下桩的内力与侧移计算公式。引用“切断-修复”的慨念以及矩阵运算,使求得的公式可以方便地计算层状土变刚度桩的变形。对非线性或复合地基也同样适用。 文中举了二个实例,应用所述公式,手算出钢管桩桩头的水平位移,并与某厂在建设中观察到的数值作了对比。
According to the standard basic solution of ordinary differential equations, this paper derives the calculation formulas for the internal forces and lateral displacements of piles under the action of lateral load and vertical axial force. By referring to the concept of “cut-repair” and matrix calculations, the obtained formula can be easily used to calculate the deformation of a variable-strain pile in a layered soil. The same applies to non-linear or composite foundations. In the text, two examples are given. Using the formula, the horizontal displacement of the steel pipe pile head is calculated by hand, and compared with the value observed in a certain factory during construction.