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地下结构课程设计
姓名:宋伟涛 班级:地下122 学号:120719209
二次衬砌内力计算
1.1基本资料
结构断面图如图1所示。围岩级别为V级,容重??18kN/m3,围岩的弹性
抗力系K?0.15?106kN/m2,衬砌材料为C45混凝土,弹性模量为
E?3.35?107Kpa容重??25KN/m3
图1.1 结构断面图
2.计算作用在衬砌结构上的主动荷载 2.1隧道深浅埋的确定
坍落拱高度按下式计算:hq?0.45?2s?1??1?i(Bt?5)?
Ⅴ级围岩,s=5;B>5,i=0.1
hq?0.45?24??1?0.1?(14.86?5)??14.299m
浅埋隧道分界深度:HP因为hq?2.5?hq?35.748m
?14.299m?H?34m?Hp?35.748m,所以是浅埋隧道
2.2竖直和水平荷载
垂直力:取H?34m,Bt?14.86m,?g?400,??0.6?g?240
(tan2?g?1)tan?gtan?g?tan??0.839?(0.704?1)?0.839?2.744
0.839?0.445tan??tan?g???tan?1?tan?(tan?g?tan?)?tan?gtan??tan??tan?g??0.283
q??H?(1?水平力:
H34???tan?)?18?34?(1??0.283?0.445)?435.567kN/mBt14.86e1??H??18?34?0.283?173.196kN/me2??h??18??12.74?34??0.283?238.094kN/m
11e???e1?e2????173.196?238.094??205.645kN/m
223.半拱轴线长度
3.1衬砌的几何尺寸
内轮廓线半径:r1?6.65m,r2?2.5m
内径r1,r2所画圆曲线端点截面与竖直轴线的夹角:?1拱顶截面厚度:d0?1090,?2?1400
?0.5m, 拱底截面厚度:dn?0.6m。
拱轴线半径:
r1`?r1?0.5d0?6.65?0.5?0.5?6.9m,r2`?r2?0.5?dn?2.5?0.5?0.5?2.75m00拱轴线各段圆弧中心角:?1?109,?2?31
3.2半拱轴线长度S及分段轴长
1090S1????r????6.9?13.126m 00180180?1`1310S2????r????2.75?1.487m 00180180?2`2半拱线长度:S?S1?S2?13.126?1.487?14.613m 将半拱轴线等分为10段,每段轴长为:?S?4.分块图:
S14.613??1.4613m 10105各分块接缝(截面)中心几何要素 5.1与竖直轴夹角
?i:
?S18001.46131800?1???1?`????12.14040
r1?6.9??2??1???1?12.14040?12.14040?24.28080
?3??2???1?24.28080?12.14040?36.42120
?4??3???1?36.42120?12.14040?48.56160
?5??4???1?48.56160?12.14040?60.70200
?6??5???1?60.70200?12.14040?72.84240
?7??6???1?72.84240?12.14040?84.98280
?8??7???1?84.98280?12.14040?97.12320
?S1?9?S?S1?9?1.4613?13.126?0.026m
?S118000.02618000?9??1?`??109???109.54170
r2?2.75??S18001.46131800??2?`????30.44590
r2?2.75??S18001.461318000?10??9?`??109.5417???139.98720
r2?2.75?另一方面?1??2?109?31?140 角度闭合差??0
5.2各截面中心点坐标计算
000x1?r1?sin?1?6.9?0.2103?1.4511
x2?r1?sin?2?6.9?0.4112?2.8373 x3?r1?sin?3?6.9?0.5937?4.0966
x4?r1?sin?4?6.9?0.7497?5.1727 x5?r1?sin?5?6.9?0.8721?6.0174