环形基础在竖直荷载作用下的内力计算

本文把地基视为半无限弹性体,应用弹性理论的方法,建立了在半弹性体界面上一矩形面积c×b作用有竖直均布荷载对于界面任意点的沉陷公式,把环形基础划分为若干长度相等的单元,根据各单元端点的形变谐调方程式和单元的静力平衡方程式建立环形基础的总体方程,解之,可求得基础的内力、地基反力及沉陷值。 应用本文方法所求得的基础内力与把地基反力视为均布的形式所求得的基础内力,两者相差可达10～20％,甚至更大些。

Calculation of the Internal Stresses in Ring Foundation under Vertical Load

In this paper, the foundation bed is taken as a semielastic body and elastic theory is used to derive the settlement equations for any point on the superficies when vertical uniform load is applied to a rectangular area c×b on the superficies. The ring foundation is divided into several parts equal in length. According to the deformation compatibility equations at the ends of each part and the statical equilibrium equations of the parts, the general equations of the ring foundation for the internal stresses, subsoil reactions and settlements are established.The results obtained from this proposed method are more accurate than those obtained by the method considering the subsoil reactions as uniformly distributed.