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1初始條件
某高速公路隧道通過=3\*ROMANIII類圍巖(即=4\*ROMANIV級(jí)圍巖),埋深
H=30m,隧道圍巖天然容重y=23KN/m3,計(jì)算摩擦角。=35o,變形模量E=6GPa,采用礦山法施
工;襯砌材料采用C25噴射混凝土,材料容重EMBEDEquation.DSMT4,變形模量
EMBEDEquation.DSMT4
2隧道洞身設(shè)計(jì)
2.1隧道建筑界限及內(nèi)輪廓圖的確定
該隧道橫斷面是根據(jù)兩車道高速公路=4\*ROMANIV級(jí)圍巖來設(shè)計(jì)的,根據(jù)《公路隧道
設(shè)計(jì)規(guī)范》確定隧道的建筑限界如下:
W一行車道寬度;取3.75X2m
C—余寬:因設(shè)置檢修道,故余寬取為0m
J一檢修道寬度;雙側(cè)設(shè)置,取為1.0X2m
H一建筑限界高度;取為5.0m2EMBEDEquation.KSEE3一左側(cè)向
寬度;取為1.0m
EMBEDEquation.KSEE3一右側(cè)向?qū)挾?;取?.5m
EMBEDEquation.KSEE3一建筑限界左頂角寬度:取1.0m
EMBEDEquation.KSEE3一建筑限界右頂角寬度;取1.0m
h一檢修道高度;取為0.25m
隧道凈寬為1.0+1.0+7.50+1.50+1.0=12m
設(shè)計(jì)行車速度為120km/h,建筑限界左右頂角高度均取1m;隧道輪廓線如下圖:
圖1隧道內(nèi)輪廓限界圖
根據(jù)規(guī)范要求,隧道襯砌結(jié)構(gòu)厚度為50cm(一次襯砌為15cm和二次襯砌35cm)通過作圖得
到隧道的尺寸如下:
圖2隧道內(nèi)輪廓圖
得到如下尺寸:EMBEDEquation.KSEE3
3隧道襯砌結(jié)構(gòu)設(shè)計(jì)
3.1支護(hù)方法及襯砌材料
根據(jù)《公路隧道設(shè)計(jì)規(guī)范》(JTG-2004),本設(shè)計(jì)為高速公路,采用復(fù)合式襯砌,復(fù)合式襯砌是
由初期支護(hù)和二次襯砌及中間防水層組合而成的襯砌形式。
復(fù)合式襯砌應(yīng)符合下列規(guī)定:
1初期支護(hù)宜采用錨噴支護(hù),即由噴射混凝土,錨桿,鋼筋網(wǎng)和鋼筋支架等支護(hù)形式單獨(dú)或組
合使用,錨桿宜采用全長粘結(jié)錨桿。
2二次襯砌宜采用模筑混凝土或模筑鋼筋混凝土結(jié)構(gòu),襯砌截面宜采用連結(jié)圓順的等厚襯砌斷
面,仰拱厚度宜與拱墻厚度相同。
由規(guī)范8.4.2-1,對(duì)于兩車道=4\*ROMANIV級(jí)圍巖:
初期支護(hù):拱部邊墻的噴射混凝土厚度為12-15cm,拱墻的錨桿長度為2.5-3m,錨桿間距為
1.0-1.2m;
二次襯砌厚度:拱墻混凝土厚度為35cm
因此確定襯砌尺寸及規(guī)格如下:
深埋隧道外層初期支護(hù),根據(jù)規(guī)范規(guī)定,采用錨噴支護(hù),錨桿采用普通水泥砂漿錨桿,規(guī)格HRB
EMBEDEquation.KSEE320X2.5m,采用梅花型局部布設(shè),采用C25
噴射混凝土。
初次襯砌:采用C25噴射混凝土,厚度為14.8cm。
防水板:采用塑料防水板及無紗布,且無紡布密度為300g/m2,防水板應(yīng)采用鋪滿的EVA板防水
層,厚度為2.0mm,搭接長度為
二次襯砌:根據(jù)《公路隧道設(shè)計(jì)規(guī)范》,采用C25號(hào)模筑防水混凝土,厚度為35cm。
整個(gè)襯砌厚度為14.8+0.2+35=50cmo
3.2隧道深淺埋的確定及圍巖壓力的計(jì)算
隧道的內(nèi)輪廓尺寸為B=12.37m,H=13.69m
因?yàn)?4\*ROMANIV級(jí)圍巖需要預(yù)留變形量,查《公路隧道設(shè)計(jì)規(guī)范》841知=4\*
ROMANIV級(jí)圍巖需預(yù)留變形量為50-80mm,襯砌厚度為50cm,又每側(cè)超挖量為10cm,
故隧道的近似開挖尺寸為:
EMBEDEquation.KSEE3
由于是=4\*ROMANIV級(jí)圍巖EMBEDEquation.KSEE3
EMBEDEquation.KSEE3—深淺埋隧道的分界深度
EMBEDEquation.KSEE3
EMBEDEquation.KSEE3一等效荷載高度
EMBEDEquation.KSEE3一跨度影響系數(shù);EMBED
Equation.KSEE3
i一圍巖壓力增減率,當(dāng)EMBEDEquation.KSEE3取i=0.1
EMBEDEquation.KSEE3
EMBEDEquation.KSEE3
埋深EMBEDEquation.KSEE3故為深埋隧道。
又EMBEDEquation.KSEE3
可用公式EMBEDEquation.KSEE3計(jì)算均布垂直壓力:
EMBEDEquation.KSEE3
因?yàn)樵撍淼绹鷰r級(jí)別為=4\*ROMANIV圍巖水平均不壓力為:
EMBEDEquation.KSEE3
4襯砌結(jié)構(gòu)內(nèi)力計(jì)算
4.1基本資料
公里等級(jí)高速公路
圍巖級(jí)別=4\*ROMANIV級(jí)
圍巖容重r=23KN/m3
彈性抗力系數(shù)K=0.18X106KN/m
變形模量EMBEDEquation.KSEE3
材料容重EMBEDEquation.KSEE3
材料變形模量EMBEDEquation.KSEE3
襯砌厚度d=0.5m
圖3襯砌結(jié)構(gòu)斷面圖
4.2荷載的確定
4.2.1圍巖壓力的確定
隧道的內(nèi)輪廓尺寸為B=12.37m,H=13.69m
因?yàn)?4\*ROMANIV級(jí)圍巖需要預(yù)留變形量,查《公路隧道設(shè)計(jì)規(guī)范》841知=4\*
ROMANIV級(jí)圍巖需預(yù)留變形量為50-80mm,襯砌厚度為50cm,又每側(cè)超挖量為10cm,
故隧道的近似開挖尺寸為:
EMBEDEquation.KSEE3
由于是=4\*ROMANIV級(jí)圍巖EMBEDEquation.KSEE3
EMBEDEquation.KSEE3一深淺埋隧道的分界深度
EMBEDEquation.KSEE3
EMBEDEquation.KSEE3一等效荷載高度
EMBEDEquation.KSEE3一跨度影響系數(shù);EMBED
Equation.KSEE3
i一圍巖壓力增減率,當(dāng)EMBEDEquation.KSEE3取i=0.1
EMBEDEquation.KSEE3
EMBEDEquation.KSEE3
埋深EMBEDEquation.KSEE3故為深埋隧道。
又EMBEDEquation.KSEE3
可用公式EMBEDEquation.KSEE3計(jì)算均布垂直壓力:
EMBEDEquation.KSEE3
考慮一襯后的圍巖釋放變形折減系數(shù)0.4
EMBEDEquation.KSEE3
4.2.2襯砌自重
EMBEDEquation.KSEE3
(1)全部垂直荷載
q=61.768+1l=72.768KN/m2
(2)圍巖水平均布?jí)毫?/p>
e=0.4X72.768=29.1KN/m2
4.3襯砌幾何要素
4.3.1襯砌的幾何尺寸
內(nèi)輪廓線半徑:EMBEDEquation.KSEE3
內(nèi)徑EMBEDEquation.KSEE3所畫圓曲線端點(diǎn)截面與豎直軸線的
夾角:
EMBEDEquation.KSEE3EMBEDEquation.KSEE3\*
MERGEFORMAT
拱頂截面厚度EMBEDEquation.KSEE3,拱底截面厚度EMBED
Equation.KSEE3
4.3.2半拱軸線長度S及分段軸長
EMBEDEquation.KSEE3
將半拱軸長度等分為8段,則
EMBEDEquation.KSEE3
EMBEDEquation.KSEE3
4.4計(jì)算位移
4.4.1單位位移
用辛普生法近似計(jì)算,按計(jì)算列表進(jìn)行,單位位移的計(jì)算列表見表4-1
表4-1單位位移計(jì)算表
截
面asinacosaxyd1/1y/Iy2/I(l+y)7l積
分
系
數(shù)1/300.0000.0001.0000.0000.0000.50096.0000.0000.00096.0001
115.2500.2630.9651.5750.2210.50096.00021.2164.689143.1214
230.5000.5080.8622.9920.8420.50096.00080.83268.061325.7252
345.7500.7160.6984.2021.7860.50096.000171.456306.220745.1324
461.0000.8750.4855.2343.2170.50096.000308.832993.5131707.1772
576.2500.9710.2386.1685.6100.50096.000538.5603021.3224194.4424
691.5001.000-0.0266.4298.1760.50096.000784.8966417.3108083.102
27106.750.958-0.2886.00710.7220.50096.0001029.31211036.283
13190.90748122.000.848-0.5304.97213.0200.50096.0001249.920
16273.95818869.7981E768.003547.07229568.59337430.737
asmacosaxydl/Iy/Iy7l(l+y)2/I積
分
系
數(shù)1/300.0000.0001.0000.0000.0000.50096.0000.0000.00096.0001
115.2500.2630.9651.5750.2210.50096.00021.2164.689143.1214
230.5000.5080.8622.9920.8420.50096.00080.83268.061325.7252
345.7500.7160.6984.2021.7860.50096.000171.456306.220745.1324
461.0000.8750.4855.2343.2170.50096.000308.832993.5131707.1772
576.2500.9710.2386.1685.6100.50096.000538.5603021.3224194.4424
691.5001.000-0.0266.4298.1760.50096.000784.8966417.3108083.102
27106.750.958-0.2886.00710.7220.50096.0001029.31211036.283
13190.90748122.000.848-0.5304.97213.0200.50096.0001249.920
16273.95818869.7981£768.003547.07229568.59337430.737
sinacosaxyd1/「
分
系
數(shù)1/300.0000.0001.0000.0000.0000.50096.0000.0000.00096.0001
115.2500.2630.9651.5750.2210.50096.00021.2164.689143.1214
230.5000.5080.8622.9920.8420.50096.00080.83268.061325.7252
345.7500.7160.6984.2021.7860.50096.000171.456306.220745.1324
461.0000.8750.4855.2343.2170.50096.000308.832993.5131707.1772
576.2500.9710.2386.1685.6100.50096.000538.5603021.3224194.4424
691.5001.000-0.0266.4298.1760.50096.000784.8966417.3108083.102
27106.750.958-0.2886.00710.7220.50096.0001029.31211036.283
13190.90748122.000.848-0.5304.97213.0200.50096.0001249.920
16273.95818869.7981£768.003547.07229568.59337430.737
cosaxyd1/1y/Iy2/I(1+y)2/I積
分
系
數(shù)1/300.0000.0001.0000.0000.0000.50096.0000.0000.00096.0001
115.2500.2630.9651.5750.2210.50096.00021.2164.689143.1214
230.5000.5080.8622.9920.8420.50096.00080.83268.061325.7252
345.7500.7160.6984.2021.7860.50096.000171.456306.220745.1324
461.0000.8750.4855.2343.2170.50096.000308.832993.5131707.1772
00.0000.0001.0000.0000.0000.50096.0000.0000.00096.0001115.250
0.2630.9651.5750.2210.50096.00021.2164.689143.1214230.5000.508
0.8622.9920.8420.50096.00080.83268.061325.7252345.7500.716
0.6984.2021.7860.50096.000171.456306.220745.1324461.0000.875
0.4855.2343.2170.50096.000308.832993.5131707.1772576.2500.971
0.2386.1685.6100.50096.000538.5603021.3224194.4424691.5001.000
-0.0266.4298.1760.50096.000784.8966417.3108083.10227106.750.958
-0.2886.00710.7220.50096.0001029.31211036.28313190.9074
8122.000.848-0.5304.97213.0200.50096.0001249.92016273.95818869.798
1E768.003547.07229568.59337430.737
00.0000.0001.0000.0000.0000.50096.0000.0000.00096.0001115.250
0.2630.9651.5750.2210.50096.00021.2164.689143.1214230.5000.508
0.8622.9920.8420.50096.00080.83268.061325.7252345.7500.716
0.6984.2021.7860.50096.000171.456306.220745.1324461.0000.875
0.4855.2343.2170.50096.000308.832993.5131707.1772576.2500.971
0.2386.1685.6100.50096.000538.5603021.3224194.4424691.5001.000
-0.0266.4298.1760.50096.000784.8966417.3108083.10227106.750.958
-0.2886.00710.7220.50096.0001029.31211036.28313190.9074
8122.000.848-0.5304.97213.0200.50096.0001249.92016273.95818869.798
1L768.003547.07229568.59337430.737
0.0000.0001.0000.0000.0000.50096.0000.0000.00096.0001115.250
0.2630.9651.5750.2210.50096.00021.2164.689143.1214230.5000.508
0.8622.9920.8420.50096.00080.83268.061325.7252345.7500.716
0.6984.2021.7860.50096.000171.456306.220745.1324461.0000.875
0.4855.2343.2170.50096.000308.832993.5131707.1772576.2500.971
0.2386.1685.6100.50096.000538.5603021.3224194.4424691.5001.000
-0.0266.4298.1760.50096.000784.8966417.3108083.10227106.750.958
-0.2886.00710.7220.50096.0001029.31211036.28313190.9074
8122.000.848-0.5304.97213.0200.50096.0001249.92016273.95818869.798
1E768.003547.07229568.59337430.737
0.0001.0000.0000.0000.50096.0000.0000.00096.0001115.2500.263
0.9651.5750.2210.50096.00021.2164.689143.1214230.5000.5080.862
2.9920.8420.50096.00080.83268.061325.7252345.7500.7160.698
4.2021.7860.50096.000171.456306.220745.1324461.0000.8750.485
5.2343.2170.50096.000308.832993.5131707.1772576.2500.9710.238
6.1685.6100.50096.000538.5603021.3224194.4424691.5001.000-0.026
6.4298.1760.50096.000784.8966417.3108083.10227106.750.958-0.288
6.00710.7220.50096.0001029.31211036.28313190.90748122.000.848
-0.5304.97213.0200.50096.0001249.92016273.95818869.7981
£768.003547.07229568.59337430.737
1.0000.0000.0000.50096.0000.0000.00096.0001115.2500.2630.965
1.5750.2210.50096.00021.2164.689143.1214230.5000.5080.8622.992
0.8420.50096.00080.83268.061325.7252345.7500.7160.6984.202
1.7860.50096.000171.456306.220745.1324461.0000.8750.4855.234
3.2170.50096.000308.832993.5131707.1772576.2500.9710.2386.168
5.6100.50096.000538.5603021.3224194.4424691.5001.000-0.0266.429
8.1760.50096.000784.8966417.3108083.10227106.750.958-0.2886.007
10.7220.50096.0001029.31211036.28313190.90748122.000.848-0.530
4.97213.0200.50096.0001249.92016273.95818869.7981
£768.003547.07229568.59337430.737
0.0000.0000.50096.0000.0000.00096.0001115.2500.2630.9651.575
0.2210.50096.00021.2164.689143.1214230.5000.5080.8622.9920.842
0.50096.00080.83268.061325.7252345.7500.7160.6984.2021.786
0.50096.000171.456306.220745.1324461.0000.8750.4855.2343.217
0.50096.000308.832993.5131707.1772576.2500.9710.2386.1685.610
0.50096.000538.5603021.3224194.4424691.5001.000-0.0266.4298.176
115.2500.2630.9651.5750.2210.50096.00021.2164.689143.1214
230.5000.5080.8622.9920.8420.50096.00080.83268.061325.7252
345.7500.7160.6984.2021.7860.50096.000171.456306.220745.1324
461.0000.8750.4855.2343.2170.50096.000308.832993.5131707.1772
576.2500.9710.2386.1685.6100.50096.000538.5603021.3224194.4424
691.5001.000-0.0266.4298.1760.50096.000784.8966417.3108083.102
27106.750.958-0.2886.00710.7220.50096.0001029.31211036.283
13190.90748122.000.848-0.5304.97213.0200.50096.0001249.920
16273.95818869.7981£768.003547.07229568.59337430.737
115.2500.2630.9651.5750.2210.50096.00021.2164.689143.1214
230.5000.5080.8622.9920.8420.50096.00080.83268.061325.7252
345.7500.7160.6984.2021.7860.50096.000171.456306.220745.1324
461.0000.8750.4855.2343.2170.50096.000308.832993.5131707.1772
576.2500.9710.2386.1685.6100.50096.000538.5603021.3224194.4424
691.5001.000-0.0266.4298.1760.50096.000784.8966417.3108083.102
27106.750.958-0.2886.00710.7220.50096.0001029.31211036.283
13190.90748122.000.848-0.5304.97213.0200.50096.0001249.920
16273.95818869.7981£768.003547.07229568.59337430.737
15.2500.2630.9651.5750.2210.50096.00021.2164.689143.1214230.500
0.5080.8622.9920.8420.50096.00080.83268.061325.7252345.750
0.7160.6984.2021.7860.50096.000171.456306.220745.1324461.000
0.8750.4855.2343.2170.50096.000308.832993.5131707.1772576.250
0.9710.2386.1685.6100.50096.000538.5603021.3224194.4424691.500
1.000-0.0266.4298.1760.50096.000784.8966417.3108083.10227106.75
0.958-0.2886.00710.7220.50096.0001029.31211036.28313190.9074
8122.000.848-0.5304.97213.0200.50096.0001249.92016273.95818869.798
1£768.003547.07229568.59337430.737
0.2630.9651.5750.2210.50096.00021.2164.689143.1214230.5000.508
0.8622.9920.8420.50096.00080.83268.061325.7252345.7500.716
0.6984.2021.7860.50096.000171.456306.220745.1324461.0000.875
0.4855.2343.2170.50096.000308.832993.5131707.1772576.2500.971
0.2386.1685.6100.50096.000538.5603021.3224194.4424691.5001.000
-0.0266.4298.1760.50096.000784.8966417.3108083.10227106.750.958
-0.2886.00710.7220.50096.0001029.31211036.28313190.9074
8122.000.848-0.5304.97213.0200.50096.0001249.92016273.95818869.798
1£768.003547.07229568.59337430.737
0.9651.5750.2210.50096.00021.2164.689143.1214230.5000.5080.862
2.9920.8420.50096.00080.83268.061325.7252345.7500.7160.698
4.2021.7860.50096.000171.456306.220745.1324461.0000.8750.485
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