垂直荷载下地基平均附加应力系数公式推导

摘要

To calculate the settlement of foundation soil according to “the code method”, an important parameter named the average additional stress coefifcient of the foundation soil must be used. At present, this parameter is mainly obtained by the interpolation, which is convenient in use, but the results may vary from person to person . Using integral method, the author has deduced some formulas on the coefifcient of the average additional stress of the foundation soil, which is under the common foundation.In addition, the author has programmed The Excel Program Calculation Sheet. By comparison with the code data referred to as the formula data and related data in books referred to as tabular data, of the rectangular foundation angle point and circular foundation midpoint under the uniform load are completely consistent, but the formula data of the rectangular foundation under the triangular distributed load have some errors with the tabular data. These errors have also been analysed in this article. Although the tabular data of the strip foundation under the triangular distributed load have not been seen yet , the strip foundation exists in the real project .The deduced formula for the strip foundation has been presented in this article aimed at discussing with the personnel concerned. All of these can be a great convenience in the application for the engineering technicians in the practical work.%按照《建筑地基基础设计规范》（以下简称《规范》）[1]进行地基沉降计算，要使用地基平均附加应力系数。目前，该参数一般都是通过查表内插获得，虽然方便，但结果会因人而异。笔者利用积分法导出常见基础下地基平均附加应力系数计算公式，并编制了Excel计算表。通过对比，矩形基础角点及圆形基础中点均布荷载下的数据（以下简称“公式数据”）与《规范》及相关书籍中的数据（以下简称“表列数据”）完全一致，而矩形基础三角形荷载下的公式数据与表列数据有些误差，本文对这些误差也进行了分析。虽然未见到条形基础的表列数据，但实际工程中条形基础仍大量存在，因此，本文也给出了其推导公式。以上公式可极大地方便工程技术人员在实际工作中的运用。