含不同桩径桩基的桩顶作用效应计算分析
Calculation and analysis of acting forces on pile top of foundation with piles with different diameters
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摘要: 推导出含不同桩径桩基的竖向力和水平力分配计算公式。对于单一桩径的群桩基础,一般公式简化为设计规范所给出的桩顶作用效应计算公式,即前者为后者的一般形式,从而验证了一般公式的正确性。对于承台仅承受轴心竖向荷载或水平荷载的粗、细两类直径桩基,如果忽略桩径变化而采用单一桩径,得到粗桩的竖向力或水平力均低于一般公式的计算结果,而细桩高于一般公式计算结果。若粗、细桩截面面积比为 1.5 时,其计算误差均超过 16% 。在控制桩基沉降差的变刚度调平设计,误差会引起桩基沉降差的计算量偏小,因此是偏于不安全的。Abstract: In an optimum design of pile foundation stiffness to reduce differential settlement, it is an effective approach to optimize pile foundation stiffness that different diameter piles are employed. No formula is presented in Technical Code for Building Pile Foundation (JGJ94-2008) and Code for Design of Building Foundation (GB50007-2002) for calculating acting forces on the tops of different diameter piles by a cap under loading of its upper building structure. General formulas are induced for calculating acting horizontal and vertical forces on tops of different diameter piles. If diameters of piles are the same, the general formulas are reduced to be the formulas in the two Codes of pile foundation design. It means that the general formulas are a general case of the formulas in the two Codes, which indicates that they are reasonable. A case is analyzed that a pile foundation with two types of pile diameters under a vertical axial force or a horizontal force. If the difference of pile diameters is ignored in the case, that is, the formulas of two design Codes are adopted, results of acting forces on the tops of thicker piles are less than those by the general formulas and results of the thinner piles are opposite. Errors of both thicker piles and thinner piles are more than 16% caused by ignoring the difference of pile diameters if the area ratio of the thicker pile to the thinner pile is 1.5. In an optimum design of pile foundation stiffness to reduce differential settlement, the errors will induce differential settlements of foundations underestimated, and cause unsafe design of pile foundations.