这是一个(gè)实用的八字墙体积计(jì)算软件。

涵洞(dòng)与路(lù)线(xiàn)右交(jiāo)角为120°(α=90°-120°=-30°),路基(jī)边(biān)坡m0=1.5(即1:1.5),冀墙正(zhèng)截面背侧(cè)坡比(bǐ)n0=4(即4:1),正截面顶宽c0=40cm,洞口截面高H=479cm,冀尾截(jié)面高h=70cm,正侧面线(xiàn)转到
涵(hán)洞轴(zhóu)线转角β=-20°(绕(rào)O点逆时(shí)针(zhēn)取负),涵洞(dòng)轴线流水坡度i=2%。相(xiàng)关计算如下:
1.墙身计算(suàn)考虑流水坡(pō)度i合成:m=m0/(1±m0i/cosα),在上游取正,在下游取负,
m=1.5/(1+1.5*2%/cos30°)=1.4498;
2.涵(hán)洞轴线冀长:L=(H-h)m/cosα=(4.79-0.7)*1.4498/cos30°=6.847m;
3.洞口截(jié)面墙(qiáng)顶宽:c= c0/cos(β-α)=0.40/cos(-20°+30°)=0.406m;
4.洞口截面(miàn)墙背侧坡(pō)比(bǐ): n=[n0+signβsin(β-α)/m]cos(β-α),sign为取符号
函数signβ=sign(-20°)=-1,n=[4-sin(-20°+30°)/1.4498]cos(-20°+30°)=3.8213
忽(hū)略流水坡度i影(yǐng)响, n’=[4-sin(-20°+30°)/1.5]cos(-20°+30°)=3.8252
5.洞口截面底宽:a=c+H/n=0.406+4.79/3.8213=1.660m,(n’→1.658m);
6.冀尾截面底宽:b=c+h/n=0.406+0.70/3.8213=0.589m,(n’→0.588m);
7.墙身体积计算(suàn)(任取(qǔ)与洞口(kǒu)截面平(píng)行的一超薄dz段分析,如立面图阴影(yǐng)部(bù)分),其体积为(wéi):
dV≈[(c+x) y /2]dz,其中x=c+y/n,dz =mdy代入(rù)得:
dV≈ [y2/2/n+ cy]mdy,对y从(cóng)h~H积分并整理得:V=0.5[(H3-h3)/3/n+c(H2-h2)]m
V=0.5*[(4.793-0.73)/3/3.8213+0.406*(4.792-0.72)]*1.4498
=13.536m3 (n’→V=13.529m3)
令(H-h)m=Lcosα代入得:V=0.5[(H2+Hh+h2)/3/n+c(H+h)]Lcosα