注:场地平整土方量计算步骤:
(1)场地设计标高确定后,求出平整的场地各角点的施工高度Hi ;
(2)确定“零线”的位置,有助于了解整个场地的挖填区域分布状况;
(3)然后按每个方格角点的施工高度算出挖、填土方量,并计算边坡的土方量,这样即得到整个场地的挖、填土方总量。
两挖两填:Vw=a^2/4[(h1^2/(h1+h4)+h2^2/(h2+h3)]
Vt=a^2/4[(h4^2/(h1+h4)+h3^2/(h2+h3)]
三挖一填(三填一挖):V 填=a^2/6*h4^3/[(h1+h4)(h2+h3)]
V 挖=a^2/6*(2h1+h2+2h3-h4)+V填
全挖全填:V=a^2/4(h1+h2+h2+h4)
一挖一填:V=1/6*a^2*h
列:某建筑场地地形图和方格网(边长a=20.0m)布置图如图所示,土壤为二类土,场地地面泄水坡度ix=0.3%,iy=0.2%。试确定场地设计标高(不考虑土的可松性影响,余土加宽边坡)计算方格网土方挖填工程量。
解:(1)初步确定设计标高
H0=1/4n (Σh1+2Σh2+3Σh3+4Σh4)
=1/(4*8)[(43.24+44.80+42.58+44.17)+2*(43.67+43.94+43.34+42.94+44.67+43.23+43.67)+4*(43.35+43.76+44.17)]=43.71
(2)泄水坡度确定各点设计标高(物理中心Vw=Vt)
H3y=H0±Lxix±Lyiy=43.71-40*0.3%+20*0.2%=43.63
(3)计算施工高度Hi
Hi'=H0-Hi
H8=43.71-43.71=-0.05
(4)确定零线
X1=h1/(h1+h2)*a
X2-3=0.02/(0.02+0.19)*20=1.9
(5)计算挖填方量
Vt-1=a^2/4(h1+h2+h2+h4)=20^2/4(0.39+0.02+0.3+0.65)=136m^3
Vt-5=a^2/4(h1+h2+h2+h4)=20^2/4(0.65+0.3+0.71+0.97)=263m^3
Vw-3=a^2/4(h1+h2+h2+h4)=20^2/4(0.19+0.53+0.4+0.05)=117m^3
Vw-4=a^2/4(h1+h2+h2+h4)=20^2/4(0.53+0.93+0.84+0.1)=270m^3
Vt-2=a^2/4[(h1^2/(h1+h4)+h2^2/(h2+h3)]=20^2/4(0.02^2/(0.02+0.19)+0.3^2/
(0.3+0.05)]=25.89m^3
Vw-2=a^2/4[(h3^2/(h2+h3)+h4^2/(h1+h4)]=20^2/4(0.05^2/(0.3+0.05)+0.19^2/(0.02+0.19)]=17.9m^3
Vt-7=a^2/4[(h1^2/(h1+h4)+h2^2/(h2+h3)]=20^2/4(0.44^2/(0.44+0.05)+0.06^2/(0.06+0.4)]=40.28m^3
Vw-7=a^2/4[(h3^2/(h2+h3)+h4^2/(h1+h4)]=20^2/4(0.4^2/(0.06+0.4)+0.05^2/(0.3+0.05)]=35.30m^3
Vw-6=a^2/6*h4^3/[(h1+h4)(h2+h3)]=20^3/6*0.05^3/[(0.44+0.05)(0.71+0.3)]=0.0168m^3 Vt-6=a^2/6*(2h1+h2+2h3-h4)+Vw=20^2/6*(2*0.44+0.71+2*0.3-0.05)+0.0168=142.71m^3 Vt-8=a^2/6*h4^3/[(h1+h4)(h2+h3)]=20^3/6*(0.06^3/[(0.4+0.06)(0.84+0.38)]=0.026m^3 Vw-8=a^2/6*(2h1+h2+2h3-h4)+Vt=20^2/6*(2*0.4+0.84+2*0.38-0.06)+0.026=156.026m^3 Vw 总=Vw-3+Vw-4+Vw-7+Vw-6+Vw-8+Vw-2=117+270+35.30+0.0168+0.026+17.9=408.2428m^3 Vt 总=Vt-1+Vt-5+Vt-2+Vt-7+Vt-8+Vt-6=136+263+25.89+40.28+142.71+0.026=607.906m^3
(6)计算挖填方量
三棱椎:V=1/3*AL=1/3*58.1*1/2*1*0.93^2=8.38m^2
三棱柱:V=(A1+A2)/2*L=(1/2*0.93^2*1/2*0.38^2)/2*40
(7)验算
|Vw-vt|≦0.2%(|Vw|+|Vt|
注:场地平整土方量计算步骤:
(1)场地设计标高确定后,求出平整的场地各角点的施工高度Hi ;
(2)确定“零线”的位置,有助于了解整个场地的挖填区域分布状况;
(3)然后按每个方格角点的施工高度算出挖、填土方量,并计算边坡的土方量,这样即得到整个场地的挖、填土方总量。
两挖两填:Vw=a^2/4[(h1^2/(h1+h4)+h2^2/(h2+h3)]
Vt=a^2/4[(h4^2/(h1+h4)+h3^2/(h2+h3)]
三挖一填(三填一挖):V 填=a^2/6*h4^3/[(h1+h4)(h2+h3)]
V 挖=a^2/6*(2h1+h2+2h3-h4)+V填
全挖全填:V=a^2/4(h1+h2+h2+h4)
一挖一填:V=1/6*a^2*h
列:某建筑场地地形图和方格网(边长a=20.0m)布置图如图所示,土壤为二类土,场地地面泄水坡度ix=0.3%,iy=0.2%。试确定场地设计标高(不考虑土的可松性影响,余土加宽边坡)计算方格网土方挖填工程量。
解:(1)初步确定设计标高
H0=1/4n (Σh1+2Σh2+3Σh3+4Σh4)
=1/(4*8)[(43.24+44.80+42.58+44.17)+2*(43.67+43.94+43.34+42.94+44.67+43.23+43.67)+4*(43.35+43.76+44.17)]=43.71
(2)泄水坡度确定各点设计标高(物理中心Vw=Vt)
H3y=H0±Lxix±Lyiy=43.71-40*0.3%+20*0.2%=43.63
(3)计算施工高度Hi
Hi'=H0-Hi
H8=43.71-43.71=-0.05
(4)确定零线
X1=h1/(h1+h2)*a
X2-3=0.02/(0.02+0.19)*20=1.9
(5)计算挖填方量
Vt-1=a^2/4(h1+h2+h2+h4)=20^2/4(0.39+0.02+0.3+0.65)=136m^3
Vt-5=a^2/4(h1+h2+h2+h4)=20^2/4(0.65+0.3+0.71+0.97)=263m^3
Vw-3=a^2/4(h1+h2+h2+h4)=20^2/4(0.19+0.53+0.4+0.05)=117m^3
Vw-4=a^2/4(h1+h2+h2+h4)=20^2/4(0.53+0.93+0.84+0.1)=270m^3
Vt-2=a^2/4[(h1^2/(h1+h4)+h2^2/(h2+h3)]=20^2/4(0.02^2/(0.02+0.19)+0.3^2/
(0.3+0.05)]=25.89m^3
Vw-2=a^2/4[(h3^2/(h2+h3)+h4^2/(h1+h4)]=20^2/4(0.05^2/(0.3+0.05)+0.19^2/(0.02+0.19)]=17.9m^3
Vt-7=a^2/4[(h1^2/(h1+h4)+h2^2/(h2+h3)]=20^2/4(0.44^2/(0.44+0.05)+0.06^2/(0.06+0.4)]=40.28m^3
Vw-7=a^2/4[(h3^2/(h2+h3)+h4^2/(h1+h4)]=20^2/4(0.4^2/(0.06+0.4)+0.05^2/(0.3+0.05)]=35.30m^3
Vw-6=a^2/6*h4^3/[(h1+h4)(h2+h3)]=20^3/6*0.05^3/[(0.44+0.05)(0.71+0.3)]=0.0168m^3 Vt-6=a^2/6*(2h1+h2+2h3-h4)+Vw=20^2/6*(2*0.44+0.71+2*0.3-0.05)+0.0168=142.71m^3 Vt-8=a^2/6*h4^3/[(h1+h4)(h2+h3)]=20^3/6*(0.06^3/[(0.4+0.06)(0.84+0.38)]=0.026m^3 Vw-8=a^2/6*(2h1+h2+2h3-h4)+Vt=20^2/6*(2*0.4+0.84+2*0.38-0.06)+0.026=156.026m^3 Vw 总=Vw-3+Vw-4+Vw-7+Vw-6+Vw-8+Vw-2=117+270+35.30+0.0168+0.026+17.9=408.2428m^3 Vt 总=Vt-1+Vt-5+Vt-2+Vt-7+Vt-8+Vt-6=136+263+25.89+40.28+142.71+0.026=607.906m^3
(6)计算挖填方量
三棱椎:V=1/3*AL=1/3*58.1*1/2*1*0.93^2=8.38m^2
三棱柱:V=(A1+A2)/2*L=(1/2*0.93^2*1/2*0.38^2)/2*40
(7)验算
|Vw-vt|≦0.2%(|Vw|+|Vt|