矩形面荷载下地基土平均附加应力系数计算结果比较

Comparison of Different Methods in Calculating Average Additional Stress Coefficients in Foundation Soil Under Distributed Surface Loads in Rectangular Area

在计算地基土附加应力系数及平均附加应力系数时发现《建筑地基基础设计规范》(GB50007—2002)表K.0.2中给出的平均附加应力系数存在一定的误差。采用了两种方法进行计算:一是借助于Matlab推导出平均附加应力系数积分式的结果显式表达式,从而代入公式对附加应力系数进行直接计算;二是基于积分式采取数值积分法求解。计算发现,当后者的积分步长足够小时,与前者所得结果十分吻合。给出了按积分结果显式表达式计算出的GB50007—2002表K.0.2的对应表。

In calculating the additional stress coefficients and average additional stress coefficients in foundation soil, some slight errors in table K. 0.2 in the Code for Design of Build Foundation （GB50007--2002）are found. Two methods are used in the calculation. The first is to find the explicit expression for the average additional stress coefficient integral with Matlab software, and the second is to calculate using the traditional numerical integration method. The results show that when the integration step becomes smaller enough, results from these two methods precisely converge. New values for table K. 0.2 are calculated and listed.