課程設(shè)計(jì)(論文)任務(wù)書專業(yè)班級(jí)地下工程12-02班學(xué)生姓名一、題目某2車道時(shí)速120km/h高速公路隧道V級(jí)圍巖段結(jié)構(gòu)及施工方法設(shè)計(jì)二、起止日期2015年6月22日至2015年7月9日三、主要任務(wù)與要求公路隧道參數(shù)：時(shí)速120km/h,兩車道，圍巖等級(jí)V級(jí)，上覆土層平均重度18.5kN/m3,埋深60m,地下水距拱頂20m,平均內(nèi)摩擦角42°,配筋設(shè)計(jì)按容許狀應(yīng)力法。設(shè)計(jì)要求如下:(1)隧道橫斷面設(shè)計(jì)，根據(jù)設(shè)計(jì)數(shù)據(jù)確定建筑限界和凈空斷面(建筑界限按最小寬度)；(2)查閱相關(guān)文獻(xiàn)資料，選擇隧道斷面參數(shù)；(3)隧道結(jié)構(gòu)設(shè)計(jì)，采用荷載結(jié)構(gòu)法計(jì)算襯砌內(nèi)力；根據(jù)相關(guān)規(guī)范，利用工程類比法確定初次支護(hù)參數(shù)；(4)施工方法與工藝流程。評(píng)閱人年月日目錄一、初始條件……………………2二、隧道洞身設(shè)計(jì)……………2隧道建筑界限及內(nèi)輪廓圖的確定………2三、隧道襯砌結(jié)構(gòu)設(shè)計(jì)……………………33.1支護(hù)方法及襯砌材料………33.2隧道深淺埋的確定及圍巖壓力的計(jì)算……4四、襯砌結(jié)構(gòu)內(nèi)力計(jì)算……………………64.1基本資料……………………64.2在同濟(jì)曙光軟件中步驟……………………7配筋……………………13五、隧道開挖施工…………15隧道開挖施工方案……………………15施工順序…………………15施工要點(diǎn)…………………15施工方法優(yōu)缺點(diǎn)………16六、附錄…………17#摘要本設(shè)計(jì)為公路隧道設(shè)計(jì)，該隧道為兩車道隧道，根據(jù)任務(wù)書的要求車速120km/h、圍巖等級(jí)Ⅴ級(jí)、隧道埋深60m。本設(shè)計(jì)的主要任務(wù)是隧道的支護(hù)結(jié)構(gòu)和施工設(shè)計(jì)。本設(shè)計(jì)主要內(nèi)容包括：各級(jí)圍巖荷載計(jì)算、利用有限元軟件進(jìn)行襯砌的內(nèi)力計(jì)算、復(fù)合式襯砌設(shè)計(jì)、施工工藝設(shè)計(jì)等。關(guān)鍵詞：公路隧道限界結(jié)構(gòu)計(jì)算配筋環(huán)形開挖留核心土法一、初始條件某高速公路隧道通過Ⅲ級(jí)圍巖，埋深H=60m，隧道圍巖天然容重γ=23KN∕m3,計(jì)算摩擦角φ=42。；襯砌材料采用C25噴射混凝土，材料容重γ=22KN/m3，變形模量E=25GPa。hh二、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Ⅴ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：表2.1公路隧道建筑限界橫斷面醉成最小寬度公路等級(jí)設(shè)計(jì)速度（km/h）車道寬度（W）側(cè)向?qū)挾扔鄬扖人行道R檢修道J隧道建筑凈寬左側(cè)LL右側(cè)LR左側(cè)右側(cè)設(shè)檢修道設(shè)人行道不設(shè)人行道、檢修道1203.75×20.751.250.750.7511高速公路一級(jí)公路1003.75×20.510.750.7510.5803.75×20.50.750.750.7510.25603.50×20.50.750.750.759.75803.75×20.750.75111二級(jí)公路三級(jí)公路四603.50×20.50.5110403.50×20.250.250.759級(jí)公路303.25×20.250.250.257.5203.00×20.250.250.257W—行車道寬度；取3.75×2mC—余寬；因設(shè)置檢修道，故余寬取為0mJ—檢修道寬度；雙側(cè)設(shè)置，取為1.0mH—建筑限界高度；取為5.0mEL—建筑限界左頂角寬度；取0.75m

h—檢修道高度；取為0.25m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2.1隧道內(nèi)輪廓限界圖單位：m根據(jù)規(guī)范要求，隧道襯砌結(jié)構(gòu)厚度為65cm（一次襯砌為20cm和二次襯砌45cm）通過作圖得到隧道的尺寸如下：圖2.2隧道內(nèi)輪廓圖得到如下尺寸:R=6.2682m。三、隧道襯砌結(jié)構(gòu)設(shè)計(jì)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(zhǎng)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Ⅴ級(jí)圍巖：初期支護(hù)：拱部邊墻的噴射混凝土厚度為15-20cm，拱墻的錨桿長(zhǎng)度為3-4m，錨桿間距為0.8-1.2m；二次襯砌厚度：拱墻混凝土厚度為45cm。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HRBΦ20×2.5m，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19.8cm。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(zhǎng)度為150mm。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45cm。整個(gè)襯砌厚度為19.8+0.2+45=65cm。*?h<βχ^^⑵詢蛆C25?MBiMi4財(cái)45自EVAtH^i?1MVwn圖2.3襯砌示意圖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B12.24m，H=9.3m

因?yàn)棰跫?jí)圍巖需要預(yù)留變形量，查《公路隧道設(shè)計(jì)規(guī)范》8.4.1知Ⅴ級(jí)圍巖需預(yù)留變形量為80-100mm，襯砌厚度為65cm，又每側(cè)超挖量為10cm，故隧道的近似開挖尺寸為：B=6268×2+650×2+100×2=14036mmtH=6268+H=6268+3500+650×2+100×2=11268mmt深淺埋的判別H=2.5hpHp—深淺埋隧道的分界深度；h=0.45×2s-1×ωh—等效荷載高度ω—跨度影響系數(shù)；ω=1+i×(B-5)

ti—圍巖壓力增減率，當(dāng)Bt>5m時(shí)取i=0.1（3.3）h=0.45×2s-ι×ω=0.45×25-i×[1+0.1×(14.036-5)]=13.7059mH=2.5h=2.5×13.7059=34.2648mp埋深H=60m>Hp=33.7320m故為深埋隧道。幺=11268_=0.8028<1.7又Bt 14036q=γhq=γhq=γh=23×13.7059=315.2362kN/m表3.1水平均布?jí)毫的取值圍巖級(jí)別1、11IIIIVVVl水平均布?jí)毫0<0.15q(0.15~0.3)q(0.3~0.5)q(0.5~1.0)q因?yàn)樵撍淼绹鷰r級(jí)別為Ⅴ圍巖水平均布?jí)毫椋篹=(0.3-0.5)q=94.5708-157.6181kN/m2取e=120kN/m2。

圖3.1荷載示意圖四、襯砌結(jié)構(gòu)內(nèi)力計(jì)算基本資料表4.1隧道襯砌基本資料公里等級(jí)高速公路圍巖級(jí)別Ⅴ級(jí)圍巖容重r=18.5KN/m3材料容重Y=22KN/m3h材料變形模量E=23Gpah襯砌厚度d=0.65m?M*M<Q.JMtSmjWlfn圖4.1襯砌結(jié)構(gòu)斷面圖4.2在同濟(jì)曙光軟件中步驟如下1、隧道建筑限界設(shè)計(jì)圖4.2圖4.32、隧道襯砌橫斷面設(shè)計(jì)圖4.43、荷載計(jì)算表4.2荷載計(jì)算取值py1py2py3py4315.2362kN/m315.2362kN/m315.2362kN/m315.2362kN/mPx1Px2Px3Px4315.2362kN/m315.2362kN/m315.2362kN/m315.2362kN/m在菜單中選擇 荷載計(jì)篁 ，程序?qū)⒂?jì)算出作用在結(jié)構(gòu)上的圍巖壓力，并且在屏幕上襯砌斷面圖的旁邊生成結(jié)構(gòu)計(jì)算簡(jiǎn)圖。該圍巖壓力將自動(dòng)填寫在“分布荷載“對(duì)話框中，若不作修改將直接用于后面的計(jì)算，若要修改則選擇菜單中的 ??構(gòu)分布荷我①)… ，將彈出如下對(duì)話框^^荷哉 ???l分布荷載家G敬 py3↑IIII0II?「行向線性分布「艱毋均R^性分布rX^E均項(xiàng)!彼粉布Pxl= Pwr P—TOC\o"1-5"\h\zPyl-[u Pp2- ~Pκ3= Pκ4= pPp3= PM=單位kH??圖4.5在菜單中選擇材料(山…，用以添加材料，將彈出如下對(duì)話框：

在菜單中選擇材料(山…，用以添加材料，將彈出如下對(duì)話框：圖4.6單擊添加材料,..，該對(duì)話框?qū)⒆優(yōu)椋簣D4.7雙擊材料If，將彈出如下對(duì)話框：圖4.84、計(jì)算結(jié)果顯示：表4.3軟件計(jì)算結(jié)果節(jié)點(diǎn)號(hào)坐標(biāo)（x，y）N（kN）V（kN）M(kN?m)1( 49.540000,0.302000)1859.8-1576.3-659.29562( 50.652000,0.302000)1859.8-1226-225.26873( 51.764000,0.302000)1859.8-875.7112.30784( 52.876000,0.302000)1859.8-525.4353.43395( 53.988000,0.302000)1859.8-175.1498.10956( 55.100000,0.302000)1859.8175.1546.33477( 56.212000,0.302000)1859.8525.4498.10958( 57.324000,0.302000)1859.8875.7353.43399( 58.436000,0.302000)1859.81226112.3078

10(59.548000,0.302000)1859.81576.3-225.268711(60.660000,0.302000)2403.8-873.4-659.295612(61.947224,3.799199)2130.5200.5158.388713(61.217897,7.454019)2072.9-10.1-39.326614(58.687079,10.189816)1717.4-102.9-25.994515(55.100000,11.201000)1717.4102.966.077616(51.512921,10.189816)2072.910.1-25.994517(48.982103,7.454019)2130.5-200.5-39.326618(48.252776,3.799199)2403.8873.4158.388719(49.540000,0.302000)1859.8-1576.3-659.295620(50.652000,0.302000)1859.8-1226-225.268721(51.764000,0.302000)1859.8-875.7112.307822(52.876000,0.302000)1859.8-525.4353.433923(53.988000,0.302000)1859.8-175.1498.109524(55.100000,0.302000)1859.8175.1546.334725(56.212000,0.302000)1859.8525.4498.109526(57.324000,0.302000)1859.8875.7353.433927(58.436000,0.302000)1859.81226112.307828(59.548000,0.302000)1859.81576.3-225.268729(60.660000,0.302000)2403.8-873.4-659.295630(61.947224,3.799199)2130.5200.5158.388731(61.217897,7.454019)2072.9-10.1-39.326632(58.687079,10.189816)1717.4-102.9-25.994533(55.100000,11.201000)1717.4102.966.077634(51.512921,10.189816)2072.910.1-25.994535(48.982103,7.454019)2130.5-200.5-39.326636(48.252776,3.799199)2403.8873.4158.388737(49.540000,0.302000)1859.8-1576.3-659.295638(50.652000,0.302000)1859.8-1226-225.268739(51.764000,0.302000)1859.8-875.7112.307840(52.876000,0.302000)1859.8-525.4353.433941(53.988000,0.302000)1859.8-175.1498.109542(55.100000,0.302000)1859.8175.1546.334743(56.212000,0.302000)1859.8525.4498.109544(57.324000,0.302000)1859.8875.7353.433945(58.436000,0.302000)1859.81226112.307846(59.548000,0.302000)1859.81576.3-225.268747(60.660000,0.302000)2403.8-873.4-659.295648(61.947224,3.799199)2130.5200.5158.3887

49(61.217897,7.454019)2072.9-10.1-39.326650(58.687079,10.189816)1717.4-102.9-25.994551(55.100000,11.201000)1717.4102.966.077652(51.512921,10.189816)2072.910.1-25.994553(48.982103,7.454019)2130.5-200.5-39.326654(48.252776,3.799199)2403.8873.4158.388755(49.540000,0.302000)1859.8-1576.3-659.295656(50.652000,0.302000)1859.8-1226-225.268757(51.764000,0.302000)1859.8-875.7112.307858(52.876000,0.302000)1859.8-525.4353.433959(53.988000,0.302000)1859.8-175.1498.109560(55.100000,0.302000)1859.8175.1546.334761(56.212000,0.302000)1859.8525.4498.109562(57.324000,0.302000)1859.8875.7353.433963(58.436000,0.302000)1859.81226112.307864(59.548000,0.302000)1859.81576.3-225.268765(60.660000,0.302000)2403.8-873.4-659.295666(61.947224,3.799199)2130.5200.5158.388767(61.217897,7.454019)2072.9-10.1-39.326668(58.687079,10.189816)1717.4-102.9-25.994569(55.100000,11.201000)1717.4102.966.077670(51.512921,10.189816)2072.910.1-25.994571(48.982103,7.454019)2130.5-200.5-39.326672(48.252776,3.799199)2403.8873.4158.388773(49.540000,0.302000)1859.8-1576.3-659.295674(50.652000,0.302000)1859.8-1226-225.268775(51.764000,0.302000)1859.8-875.7112.307876(52.876000,0.302000)1859.8-525.4353.433977(53.988000,0.302000)1859.8-175.1498.109578(55.100000,0.302000)1859.8175.1546.334779(56.212000,0.302000)1859.8525.4498.109580(57.324000,0.302000)1859.8875.7353.433981(58.436000,0.302000)1859.81226112.307882(59.548000,0.302000)1859.81576.3-225.268783(60.660000,0.302000)2403.8-873.4-659.295684(61.947224,3.799199)2130.5200.5158.388785(61.217897,7.454019)2072.9-10.1-39.326686(58.687079,10.189816)1717.4-102.9-25.994587(55.100000,11.201000)1717.4102.966.0776

88(51.512921,10.189816)2072.910.1-25.994589(48.982103,7.454019)2130.5-200.5-39.326690(48.252776,3.799199)2403.8873.4158.388791(49.540000,0.302000)1859.8-1576.3-659.295692(50.652000,0.302000)1859.8-1226-225.268793(51.764000,0.302000)1859.8-875.7112.307894(52.876000,0.302000)1859.8-525.4353.433995(53.988000,0.302000)1859.8-175.1498.109596(55.100000,0.302000)1859.8175.1546.334797(56.212000,0.302000)1859.8525.4498.109598(57.324000,0.302000)1859.8875.7353.433999(58.436000,0.302000)1859.81226112.3078100(59.548000,0.302000)1859.81576.3-225.2687101(60.660000,0.302000)2403.8-873.4-659.2956102(61.947224,3.799199)2130.5200.5158.3887103(61.217897,7.454019)2072.9-10.1-39.3266104(58.687079,10.189816)1717.4-102.9-25.9945105(55.100000,11.201000)1717.4102.966.0776106(51.512921,10.189816)2072.910.1-25.9945107(48.982103,7.454019)2130.5-200.5-39.3266108(48.252776,3.799199)2403.8873.4158.3887結(jié)果內(nèi)力圖顯示如下圖4.9軸力圖

圖4.10剪力圖圖圖4.10剪力圖圖4.11彎矩圖4.3配筋在襯砌結(jié)構(gòu)中最大彎矩截面為拱頂截面，軸力N=1859.8kN，彎矩M=546.3347kN，配筋采用對(duì)稱配筋，選用C25混凝土，HRB500鋼筋，混凝土保護(hù)層厚度為40mm。3.1判斷偏心受壓類型截面設(shè)計(jì)尺寸為h×b=650×1000mmN（4.1）X= （4.1）αfb1cX=202mm<ξh=0.482×650=313.3000mmb0且X>2a'=2×40mm=80mm，判定為大偏心受壓，上式計(jì)算所得到的X值s有效。Me=——Me=——0N（4.2）ea=max∫h,b,20mm

I3030（4.3）求得e=607.6056mm>0.3ie=ea=max∫h,b,20mm

I3030（4.3）求得e=607.6056mm>0.3ie=e+ei0a（4.4）h=183mm，故按大偏心進(jìn)行計(jì)算。0he=e+—-ai2se=-+e=892.6056mmNa4.2計(jì)算A'和AssNe-αfbx(h-x)A'=IC02S f'(h-a')y0s解得A'=3945.7mm2，選7D28(A=A'=4310mm2),截面總配筋率s ssA+A'P=—S S-bh2667×2=0.0121>0.005，滿足要求。1000X6503.3驗(yàn)算垂直于彎矩作用平面的受壓承載力查表得φ=0.984，則運(yùn)用式（3.7）來計(jì)算NuN=0.9φ(fA+f'A')（4.7）ucysN=0.9X0.984X[19.1x650X1000+410X4310X2]Nu=14125kN>N=2403.952kN由計(jì)算可知截面強(qiáng)度滿足規(guī)范要求。襯砌配筋圖如下圖4.12斷面襯砌配筋圖圖4.12斷面襯砌配筋圖7-閾褂國(guó)圖4.131-1截面詳圖-IMlp:I圖4.14配筋圖五、隧道開挖施工隧道開挖施工方案采用如圖所示分布施工順序進(jìn)行開挖，即先環(huán)形開挖留核心土法的施工方法。環(huán)形開挖留核心土法，將開挖斷面分為上、中、下及底部四個(gè)部分逐級(jí)掘進(jìn)施工，核心土面積應(yīng)不小于整個(gè)斷面面積的50%。上部宜超前中部3～5m，中部超前下部3～5m，下部超前底部10m左右。為方便機(jī)械作業(yè)，上部開挖高度控制在4.5m左右，中部臺(tái)階高度也控制在4.5m左右，下部臺(tái)階控制在3.5m左右。

開挖方案圖（比例尺1：200）圖5.1施工示意圖1圖5.2施工示意圖2這種施工方法適用于土質(zhì)易于坍塌的軟弱圍巖隧道隧道坑道開挖后，在巖體散破壞之前，及時(shí)修筑一層柔性薄壁襯砌（第一次襯砌），通過施工中的量測(cè)監(jiān)視，確定圍巖變形穩(wěn)定之后，修筑防水層及第二次襯砌，此即為復(fù)合襯砌施工方法（新奧法）。該法并不單純是一種施工方法，該法是對(duì)圍巖動(dòng)態(tài)性質(zhì)通過施工中的量測(cè)的認(rèn)識(shí)和理解，通過周密的量測(cè)工作，系統(tǒng)的控制坑道變形與應(yīng)力，從而確定所建立的支護(hù)體系受力情況，并不斷加以修改、完善。施工順序開挖弧形導(dǎo)坑——第一次柔性襯砌（拱）——開挖核心及側(cè)壁——第一次柔性襯砌（邊墻）——開挖仰拱部分并修筑仰拱——施工測(cè)量（位移、應(yīng)力等量測(cè)）——防水層——第二次襯砌。施工要點(diǎn).環(huán)形開挖每循環(huán)長(zhǎng)度宜為0.5～1m；.開挖后應(yīng)及時(shí)施作噴錨支護(hù)、安裝鋼架支撐或格柵支撐，每?jī)砷摷苤g應(yīng)采用鋼筋連接，并應(yīng)加鎖腳錨桿，全斷面初期支護(hù)完成距拱部開挖面不宜超過30m；3預(yù)留核心土面積的大小應(yīng)滿足開挖面穩(wěn)定的要求；當(dāng)?shù)刭|(zhì)條件差，圍巖自穩(wěn)時(shí)間較短時(shí)，開挖前應(yīng)在拱部設(shè)計(jì)開挖輪廓線以外，進(jìn)行超前支護(hù)；5.上部弧形，左、右側(cè)墻部，中部核心土開挖各錯(cuò)開3～5m進(jìn)行平行作業(yè)。5.4施工方法優(yōu)缺點(diǎn)先環(huán)形開挖留核心土法的優(yōu)點(diǎn)：有利于掌子面圍巖穩(wěn)定，初期支護(hù)可采用扇形支撐先環(huán)形開挖留核心土法在隧道進(jìn)行臨時(shí)支護(hù)，施工速度較快，工法轉(zhuǎn)化容易不需另外增加開挖成本。先環(huán)形開挖留核心土法的主要不足：對(duì)圍巖下半部的穩(wěn)定性和強(qiáng)度有一定要求，有時(shí)需對(duì)拱腳和墻角圍巖進(jìn)行注漿加固或增設(shè)鎖腳錨桿。六、附錄、設(shè)計(jì)參數(shù).隧道建筑限界表1.1隧道建筑界限參數(shù)公路分類汽車專用公路公路等級(jí)高速公路地形特征平原微丘是否設(shè)檢修道或人行道是行車道寬度W(m)7.5路緣帶寬度S(m)0.75側(cè)向余寬C(m)0人行道寬度R(m)0檢修道寬度J(m)1隧道建筑限界凈寬(m)10隧道襯砌類型一心圓曲墻拱隧道襯砌是否設(shè)置仰拱設(shè)置襯砌橫斷面厚度是否等厚時(shí)地面到拱頂?shù)木嚯x(埋深：m)60.材料參數(shù)表1.2材料參數(shù)圍巖類別Ⅴ類圍巖壓縮狀態(tài)地層法向彈性抗力系數(shù)3500000.000壓縮狀態(tài)地層切向彈性抗力系數(shù)3500000.000拉伸狀態(tài)地層法向彈性抗力系數(shù)0拉伸狀態(tài)地層切向彈性抗力系數(shù)0表1.3混凝土參數(shù)混凝土標(biāo)號(hào)彈性模量E(KN/m2，MPa)慣性模量I(m4/m)截面積A(m2/m)25號(hào)混凝土28500000.0000.0230.6503.分布荷載表1.4分布荷載參數(shù)py1py2py3py4315.2362kN/m315.2362kN/m315.2362kN/m315.2362kN/mPx1Px2Px3Px4315.2362kN/m315.2362kN/m315.2362kN/m315.2362kN/m

.有限元控制參數(shù)表1.5有限元控制參數(shù)地層彈簧作用模式全周彈簧作用模式增量加載總數(shù)1增量輸入控制參數(shù)0迭代控制參數(shù)無迭代運(yùn)算.隧道襯砌基本資料表1.6隧道襯砌基本資料公里等級(jí)高速公路圍巖級(jí)別Ⅴ級(jí)圍巖容重r=18.5KN/m3材料容重Y=22KN/m3h材料變形模量E=23Gpah襯砌厚度d=0.65m.襯砌尺寸表1.7襯砌尺寸圓心至限界底邊的距離（m）3.500襯砌橫斷面厚度（m）0.650、計(jì)算結(jié)果表2.1軟件計(jì)算結(jié)果節(jié)點(diǎn)編號(hào)坐標(biāo)（x，y）N（kN）V（kN）M(kN?m)1(49.540000,0.302000)1859.8-1576.3-659.29562(50.652000,0.302000)1859.8-1226-225.26873(51.764000,0.302000)1859.8-875.7112.30784(52.876000,0.302000)1859.8-525.4353.43395(53.988000,0.302000)1859.8-175.1498.10956(55.100000,0.302000)1859.8175.1546.33477(56.212000,0.302000)1859.8525.4498.10958(57.324000,0.302000)1859.8875.7353.43399(58.436000,0.302000)1859.81226112.307810( 59.548000,0.302000)1859.81576.3-225.2687

11(60.660000,0.302000)2403.8-873.4-659.295612(61.947224,3.799199)2130.5200.5158.388713(61.217897,7.454019)2072.9-10.1-39.326614(58.687079,10.189816)1717.4-102.9-25.994515(55.100000,11.201000)1717.4102.966.077616(51.512921,10.189816)2072.910.1-25.994517(48.982103,7.454019)2130.5-200.5-39.326618(48.252776,3.799199)2403.8873.4158.388719(49.540000,0.302000)1859.8-1576.3-659.295620(50.652000,0.302000)1859.8-1226-225.268721(51.764000,0.302000)1859.8-875.7112.307822(52.876000,0.302000)1859.8-525.4353.433923(53.988000,0.302000)1859.8-175.1498.109524(55.100000,0.302000)1859.8175.1546.334725(56.212000,0.302000)1859.8525.4498.109526(57.324000,0.302000)1859.8875.7353.433927(58.436000,0.302000)1859.81226112.307828(59.548000,0.302000)1859.81576.3-225.268729(60.660000,0.302000)2403.8-873.4-659.295630(61.947224,3.799199)2130.5200.5158.388731(61.217897,7.454019)2072.9-10.1-39.326632(58.687079,10.189816)1717.4-102.9-25.994533(55.100000,11.201000)1717.4102.966.077634(51.512921,10.189816)2072.910.1-25.994535(48.982103,7.454019)2130.5-200.5-39.326636(48.252776,3.799199)2403.8873.4158.388737(49.540000,0.302000)1859.8-1576.3-659.295638(50.652000,0.302000)1859.8-1226-225.268739(51.764000,0.302000)1859.8-875.7112.307840(52.876000,0.302000)1859.8-525.4353.433941(53.988000,0.302000)1859.8-175.1498.109542(55.100000,0.302000)1859.8175.1546.334743(56.212000,0.302000)1859.8525.4498.109544(57.324000,0.302000)1859.8875.7353.433945(58.436000,0.302000)1859.81226112.307846(59.548000,0.302000)1859.81576.3-225.268747(60.660000,0.302000)2403.8-873.4-659.295648(61.947224,3.799199)2130.5200.5158.388749(61.217897,7.454019)2072.9-10.1-39.326650(58.687079,10.189816)1717.4-102.9-25.994551(55.100000,11.201000)1717.4102.966.077652(51.512921,10.189816)2072.910.1-25.994553(48.982103,7.454019)2130.5-200.5-39.326654(48.252776,3.799199)2403.8873.4158.388755(49.540000,0.302000)1859.8-1576.3-659.295656(50.652000,0.302000)1859.8-1226-225.268757(51.764000,0.302000)1859.8-875.7112.307858(52.876000,0.302000)1859.8-525.4353.433959(53.988000,0.302000)1859.8-175.1498.109560(55.100000,0.302000)1859.8175.1546.334761(56.212000,0.302000)1859.8525.4498.109562(57.324000,0.302000)1859.8875.7353.433963(58.436000,0.302000)1859.81226112.307864(59.548000,0.302000)1859.81576.3-225.268765(60.660000,0.302000)2403.8-873.4-659.295666(61.947224,3.799199)2130.5200.5158.388767(61.217897,7.454019)2072.9-10.1-39.326668(58.687079,10.189816)1717.4-102.9-25.994569(55.100000,11.201000)1717.4102.966.077670(51.512921,10.189816)2072.910.1-25.994571(48.982103,7.454019)2130.5-200.5-39.326672(48.25