三心拱參數(shù)計(jì)算,,,,,,,,,,,,

序號(hào),巷道名稱,拱高(m),巷寬(m),墻高(m),高跨比f(wàn),大弧半徑R(結(jié)果),小弧半徑r(結(jié)果),大弧圓心角φ(o),小弧圓心角?(o),拱部弧長(zhǎng)(m),拱部面積(m2),全斷面積(m2)

1,,1,3,1.8,1/3,2.0757,0.7829,67.38013505,56.30993247,3.980,2.36,7.76

2,,2,5,,2/5,2.9627,1.7298,77.31961651,51.34019175,7.098,7.86,7.86

3,,2.3,5.6,3,2/5,3.2482,2.0211,78.80132133,50.59933934,8.037,10.12,26.92

4,,1,3,,1/3,2.0757,0.7829,67.38013505,56.30993247,3.980,2.36,2.36

5,,1,3,,1/3,2.0757,0.7829,67.38013505,56.30993247,3.980,2.36,2.36

6,,1,4,,1/4,3.6180,0.6910,53.13010235,63.43494882,4.885,3.17,3.17

7,,1,4,,1/4,3.6180,0.6910,53.13010235,63.43494882,4.885,3.17,3.17

8,,1,4,,1/4,3.6180,0.6910,53.13010235,63.43494882,4.885,3.17,3.17

9,,2,5,,2/5,2.9627,1.7298,77.31961651,51.34019175,7.098,7.86,7.86

10,,2,5,,2/5,2.9627,1.7298,77.31961651,51.34019175,7.098,7.86,7.86

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"地下工程的頂面為增加穩(wěn)定性，常設(shè)計(jì)為三心拱。三心拱參數(shù)有矢跨比（f），但矢跨比f(wàn)確定以后，三心拱并不能確定。大弧半徑R是弧心角φ的函數(shù)，對(duì)于f=1/3的三心拱，函數(shù)式為：R=bcos(φ/2)/{6[sin(φ/2)+cos(φ/2)-1]}+b/3，但是φ/2不能大于67°。大弧圓心角φ=2arctan(2f)，小弧圓心角?=90°-φ/2。（本表中淺青綠色填充的單元格由使用者填寫，其他單元格的不要?jiǎng)樱┳⒁猓寒?dāng)巷道有支護(hù)，為保持巷道支護(hù)厚度不變，當(dāng)采用墻和拱向外平移的方式時(shí)，外部線條圍成的就不是標(biāo)準(zhǔn)的三心拱。因此，采用本表計(jì)算的拱部弧長(zhǎng)和拱部面積就會(huì)稍微偏小，但作為工程量計(jì)算影響甚微。

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圓弧拱參數(shù)計(jì)算（只適用于計(jì)算巷道凈斷面）,,,,,,,,,,,,

序號(hào),巷道名稱,拱高(m),巷寬(m),墻高(m),高跨比f(wàn),圓弧半徑R(m),圓心角φ(o),拱部弧長(zhǎng)(m),拱部面積(m2),全斷面積(m2),,

1,,1,3,1.8,1/3,1.6250,134.7602701,3.82,2.17,7.57,,

2,,1,3,,1/3,1.6250,134.7602701,3.82,2.17,2.17,,

3,,1.2,3.6,,1/3,1.9500,134.7602701,4.59,3.12,3.12,,

4,,1.8,5,,1/3,2.6361,143.015549,6.58,6.58,6.58,,

5,,1,3,,1/3,1.6250,134.7602701,3.82,2.17,2.17,,

6,,1,4,,1/4,2.5000,106.2602047,4.64,2.80,2.80,,

7,,1,4,,1/4,2.5000,106.2602047,4.64,2.80,2.80,,

8,,1,4,,1/4,2.5000,106.2602047,4.64,2.80,2.80,,

9,,2,5,,2/5,2.5625,154.639233,6.92,7.45,7.45,,

10,,2,5,,2/5,2.5625,154.639233,6.92,7.45,7.45,,

由于巷道采用支護(hù)后，墻和拱相當(dāng)于向外平移了一個(gè)支護(hù)體的厚度，外部墻高會(huì)增加，因此采用本表計(jì)算外部參數(shù)是要注意這一點(diǎn)。（本表中淺青綠色填充的單元格由使用者填寫，其他單元格的不要?jiǎng)樱?,,,,,,,,,,,

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