成层地基中倾斜偏心荷载下单桩计算分析

针对工程中地基土性质变化的具体情况，假定地基系数满足(mz+C)的线性增长规律，考虑P-Δ效应并计入桩身自重和桩侧摩阻力的影响，采用矩阵计算方法，分别得到单层土中倾斜偏心荷载作用、桩段顶端倾斜偏心荷载作用以及桩身水平分布荷载共同作用下的竖向单桩计算分析的幂级数解答。并在此基础上，利用上述两幂级数解答对成层地基中倾斜偏心荷载下单桩的受力进行了分析计算，列出了具体的计算步骤；最后，结合某具体实例，对上述方法进行了验证，结果表明，该解答与实际吻合较好，具有一定的应用价值。

Analysis of single piles under eccentric and inclined loads in layered soils

It is assumed that bedding value has a longitudinal relationship with depth in single layer of soil with well consideration to the inhomogeneous soils in the engineering practice. And power series solutions, with well consideration to P-Δ effect, are derived respectively for displacement and stress calculation of the pile section above the ground and that of pile section in a homogeneous layer of soil. And matrix methods are incorporated in the derivation of such solutions. Procedures of how to calculate the horizontal placement and stress of piles in layered soils under eccentric and inclined loads, moment of force, gravity of pile, pile-soil friction and distributed load, are presented. Finally, case analysis is done and power series solutions is proved good and practical.