题目
某场地方格网及角点原始标高(边长a=20.0m)如图所示。土壤为二类土。试确定场地设计标高(不考虑土的可松性影响),计算各方格挖、填土方工程量。(10分)45.2 45.4 45.6 45.9 46.4-|||-44.8 45.5 45.8 46.2 46.3-|||-44.7 45.1 45.3 45.5 46.1
某场地方格网及角点原始标高(边长a=20.0m)如图所示。土壤为二类土。试确定场地设计标高(不考虑土的可松性影响),计算各方格挖、填土方工程量。(10分)

题目解答
答案
答案:
设计标高H={(45.2+46.4+44.7+46.1)+2×(45.4+45.6+45.9+44.8+46.3+45.1+45.3+45.5)+4×(45.5+45.8+46.2)}/4×8=45.6m
X1=0.1/(0.1+0.2)×20=6.67m X3=0.3/(0.3+0.2)×20=12m
X2=20-6.67=13.33m X4=20-12=8m
X5=0.1/(0.1+0.6)×20=2.86m X7=0.1/(0.1+0.5)×20=3.33
X6=20-2.86=17.14m X8=20-3.33=16.67m
(1)填:20×20×(0.4+0.2+0.8+0.1)/4=150m3
(2)填:(20×20-20×13.33/2)×(0.1+0.2)/5=16m3 挖:20×13.33×0.5/3×0.2=8.89m3
(3)挖:20×20/4×(0.3+0.6+0.2)=110m3
(4)挖:20×20/4(0.3+0.8+0.6+0.7)=240m3
(5)填:20×20/4×(0.8+0.1+0.9+0.5)=230m3
(6)填:(20×20-13.33×8/2)×(0.1+0.5+0.3)/5=62.4m3 挖:13.33×8×0.5/3×0.2=3.56m3
(7)填:(12+2.86)/4×0.5×20×(0.3+0.1)=14.86 m3
挖:(0.2+0.6)×20×0.5×(8+17.14)=50.28m3
(8)填:2.86×3.33/3×0.5×0.1=0.16 m3
挖:(20×20-2.86×3.33/2)×(0.6+0.7+0.5)/5=256.12m3
