水平受荷长桩弹塑性计算解析解

当考虑桩侧土体非线性本构关系时对水平受荷桩的计算一般需采用数值方法，解析结果相对较少。基于Winkler地基模型和桩侧土体简化的弹塑性本构关系，对均质地基中水平荷载作用下桩头嵌固的长桩进行了解析推导，得到了桩身最大挠度及最大弯矩与荷载关系的统一解析表达式，并采用相同的方法求得高桩情形下桩头挠度的计算式。计算表明，联合荷载作用下桩身泥面处的挠度和转角不等于单个荷载作用时的线性叠加，采用常规的线性叠加法计算将偏于不安全。所求解析式借助计算器即可进行最大挠度和最大弯矩的计算，大大方便了工程的计算应用。

Analytical elastoplastic solutions of laterally loaded long piles

Numerical methods are generally used for analyzing of laterally loaded piles when the nonlinear constitutive relations of soils around the pile are considered; the related analytical solutions are relatively few. Based on the Winkler foundation model and simplified elastoplastic constitutive relations of soils, the analytical solutions of the laterally loaded fixed-head long pile embedded in a homogenous soil are presented; and the unified dimensionless analytical expressions of the load-maximum deflection and load-maximum moment relationships are derived. Then the same method is used to calculating the maximum deflection of the high pile. The results show that the pile deflection and rotation on the soil surface under combined loads are not equal to the superposition value under each single load; so using the linear superposition method for combined loads will be on the unsafe side. The derived analytical solutions which can be calculated by a hand calculator are more easily applied to engineering calculations.