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(清華大學(xué)建筑設(shè)計(jì)研究院工程軟件室 北京 100084)
【提要】 在計(jì)算地基土附加應(yīng)力系數(shù)及平均附加應(yīng)力系數(shù)時(shí)發(fā)現(xiàn)《建筑地基基礎(chǔ)設(shè)計(jì)規(guī)范》（GB50007—2002）表K02中給出的平均附加應(yīng)力系數(shù)存在一定的誤差。采用了兩種方法進(jìn)行計(jì)算：一是借助于Matlab推導(dǎo)出平均附加應(yīng)力系數(shù)積分式的結(jié)果顯式表達(dá)式，從而代入公式對(duì)附加應(yīng)力系數(shù)進(jìn)行直接計(jì)算；二是基于積分式采取數(shù)值積分法求解。計(jì)算發(fā)現(xiàn)，當(dāng)后者的積分步長(zhǎng)足夠小時(shí)，與前者所得結(jié)果十分吻合。給出了按積分結(jié)果顯式表達(dá)式計(jì)算出的GB50007—2002表K02的對(duì)應(yīng)表。
【關(guān)鍵詞】 地基 附加應(yīng)力系數(shù) 平均附加應(yīng)力系數(shù) Matlab 顯式表達(dá)式 數(shù)值積分法
Comparison of Different Methods in Calculating Average Additional Stress Coefficients in Foundation Soil Under Distributed Surface Loads in Rectangular Area/Chen Yujun, Xiong Xinbin（Architectural Design and Research Institute of Tsinghua University，Beijing 100084，China）
Abstract: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.
Keywords:foundation soil; additional stress coefficient; average; Matlab; explicit expression; numerical integration method