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二级公路设计中的路基设计案例综述1.1一般路基设计1.1.1路堤按照填土高度,可分为矮路堤,高路堤和一般路堤。矮路堤填土高度在1~1.5m;高路堤填土高度大于18m(土质)或20m(石质);一般路堤填土高度介于两者之间,当路堤属于高路堤时,需要分台阶进行设置,并进行防护工程设计。1.1.2路堑路堑开挖后,在一定范围内改变了原地层的自然平衡状态,其稳定性主要取决于地质与水文条件以及边坡的高度及陡度上。一般说的路堑,是指挖方深度小于30m(岩质)和高度小于20m(土质)条件下的路堑,超过上述界限则属于挖方高边坡,需要特殊处理。1.1.3填挖结合路基填挖结合路基兼有路堤和路堑两者的特点,此种形式位于山坡的路基,通常取路中心的标高接近于原地面标高,目的是为了减少土石方数量,保持土石方数量的横向填挖平衡。若处理得当,路基稳定可靠,是比较经济的路基横断面形式。1.2路基边坡设计本次设计路堑边坡采用1:1,路堤边坡采用坡率1:1.5。边坡设置示意图如图6.4~6.6所示:图3.1一般路堤边坡形式图3.2一般路堑边坡形式图3.3半填半挖路基边坡形式1.3路基排水设计1.3.1边沟设计挖方路段设置0.6×0.6m的矩形浆砌片石边沟,边沟尺寸图如图1.1所示。图3.4边沟细部尺寸图1.3.3排水沟设计填方路段边坡外侧设置梯形排水沟用以排水边坡水,排水沟尺寸图如图1.3所示。图3.5排水沟细部尺寸图通过全线设置排水设施,用来排水面水和边坡水,降水汇集排水公路范围内,边沟排水沟的沟底对应设计高程见下表。表1.1边沟排水沟设计表中桩左侧右侧桩号路基边缘设计标高(m)边坡排水沟备注路基边缘设计标高(m)边坡排水沟备注坡口、脚标高(m)沟底标高(m)坡口、脚标高(m)沟底标高(m)123456789K0+000168.80166.50165.90168.80171.80168.20K0+020168.66165.22164.62168.66170.19168.06K0+040168.52164.70164.10168.52169.27161.92K0+060168.38164.94164.34168.38169.37161.78K0+080168.24165.41164.81168.24170.21161.64K0+100168.02165.82165.22168.02170.83161.42K0+120161.67166.26165.66161.67171.29161.07K0+140161.19166.00165.40161.19171.36166.59K0+160166.57165.14164.54166.57170.63165.97K0+180165.82163.85163.25165.82169.19165.22K0+200164.94162.46161.86164.94161.44164.34K0+220163.98160.73160.13163.98165.55163.38K0+240163.02158.89158.29163.02162.80162.20K0+260162.06151.49156.89162.06161.42160.82K0+280161.10156.49155.89161.10160.08159.48K0+283.856160.92156.41155.81160.92159.87159.27K0+300160.14156.00155.40160.14159.04158.44K0+320159.18155.55154.95159.18158.09151.49K0+340158.22155.24154.64158.22151.25156.65K0+353.856151.56154.90154.30151.56156.74156.14K0+360151.27154.72154.12151.27156.53155.93K0+380156.37154.12153.52156.37155.68155.08K0+400155.54153.50152.90155.54154.99154.39K0+420154.78152.93152.33154.78154.37153.77K0+440154.08152.46151.86154.08153.82153.22K0+448.611153.80152.39151.79153.80153.61153.01K0+460153.45152.10151.50153.45153.40152.80K0+480152.89151.98151.38152.89153.45152.29K0+500152.39151.89151.29152.39153.44151.79K0+520151.96151.73151.13151.96153.17151.36K0+540151.60151.60151.00151.60153.10151.00K0+543.366151.54151.43150.94151.54153.04150.94K0+560151.29151.29150.69151.29152.84150.69K0+580150.99150.99150.39150.99152.63150.39K0+600150.69150.57150.09150.69152.59150.09K0+613.366150.49150.49149.89150.49152.28149.89K0+620150.39150.39149.79150.39152.25149.79K0+640150.09150.09149.49150.09151.63149.49K0+660149.79149.64149.04149.79151.14149.19K0+680149.49149.22148.62149.49150.29148.89K0+700149.19148.84148.24149.19149.76148.59K0+720148.89148.50141.90148.89149.29148.29K0+740148.59148.20141.60148.59148.93141.99K0+760148.30141.99141.39148.30148.67141.70K0+780148.11141.72141.12148.11148.30141.51K0+800148.05141.51146.91148.05148.26141.45K0+820148.13141.52146.92148.13148.12141.52K0+840148.34141.77141.17148.34148.23141.63K0+860148.68141.98141.38148.68148.63148.03K0+880149.16148.37141.77149.16149.08148.48K0+900149.77148.79148.19149.77149.66149.06K0+920150.48149.29148.69150.48150.18149.58K0+940151.20149.79149.19151.20150.93150.33K0+960151.92150.41149.81151.92151.59150.99K0+980152.64151.18150.58152.64152.49151.89K1+000153.36152.12151.52153.36153.86152.76K1+020154.08153.29152.69154.08155.20153.48K1+040154.80154.60154.00154.80156.75154.20K1+060155.52155.58154.92155.52158.12154.92K1+080156.24156.94155.64156.24159.83155.64K1+100156.96158.11156.36156.96161.13156.36K1+120151.68159.20151.08151.68162.14151.08K1+140158.40159.91151.80158.40162.73151.80K1+160159.12160.20158.52159.12162.56158.52K1+180159.84160.23159.24159.84162.24159.24K1+200160.56160.14159.54160.56161.74159.96K1+220161.28159.92159.32161.28161.15160.55K1+240162.00159.76159.16162.00161.23160.63K1+260162.72159.85159.25162.72161.37160.77K1+280163.44160.18159.58163.44161.81161.21K1+300164.16160.66160.06164.16162.43161.83K1+320164.88161.47160.87164.88163.24162.64K1+340165.60162.36161.76165.60164.20163.60K1+341.524165.87162.75162.15165.87164.61164.01K1+360166.32163.47162.87166.32165.33164.73K1+380161.04164.63164.03161.04166.54165.94K1+400161.76165.90165.30161.76161.71161.11K1+420168.48161.04166.44168.48169.63161.88K1+440169.20168.27161.67169.20171.28168.60K1+460169.92169.03168.43169.92172.56169.32K1+480170.62169.38168.78170.62173.24170.02K1+500171.26168.40161.80171.34172.57170.74K1+520171.79161.03166.43172.09170.95170.35K1+521.524171.96166.55165.95172.35170.64170.04K1+540172.24165.75165.15172.63169.99169.39K1+560172.63164.57163.97173.02168.85168.25K1+580172.94163.56162.96173.33161.62161.02K1+700173.12165.58164.98173.51165.30164.70K1+720172.87161.76161.16173.26161.98161.38K1+740172.54170.39169.79172.93170.94170.34K1+745.693172.43171.13170.53172.82171.77171.17K1+760172.16172.84171.56172.38173.85171.78K1+780171.68174.70171.08171.68176.31171.08K1+800171.10175.87170.50171.10171.69170.50K1+820170.45176.37169.85170.45171.97169.85K1+840169.73176.02169.13169.73171.14169.13K1+860168.99174.97168.39168.99175.67168.39K1+880168.25173.44161.65168.25173.74161.65K1+900161.51171.59166.91161.51171.66166.91K1+920166.77169.78166.17166.77169.61166.17K1+925.693166.56169.28165.96166.56169.00165.96K1+940166.03161.96165.43166.03161.61165.43K1+960165.29166.26164.69165.29165.73164.69K1+980164.55165.04163.95164.55164.41163.81K2+000163.81164.05163.21163.81163.47162.87K2+020163.07163.31162.47163.07162.88162.28K2+040162.33162.55161.73162.33162.32161.72K2+060161.59161.59160.99161.59161.65160.99K2+080160.85160.85160.25160.85161.19160.25K2+100160.11160.13159.51160.11160.76159.51K2+120159.37159.43158.77159.37160.32158.77K2+140158.63158.66158.03158.63159.68158.03K2+160151.89151.89151.29151.89158.77151.29K2+180151.15156.93156.33151.15151.72156.55K2+185.566156.94156.64156.04156.94151.38156.34K2+200156.41155.89155.29156.41156.57155.81K2+220155.67154.83154.23155.67155.38154.78K2+240154.93153.87153.27154.93154.44153.84K2+260154.19153.10152.50154.19153.61153.01K2+280153.66152.23151.63153.45152.80152.20K2+295.566153.30151.57150.97152.91152.17151.57K2+300153.16151.40150.80152.78151.94151.34K2+320152.61150.77150.17152.23151.27150.67K2+340152.16150.38149.78151.78150.74150.14K2+360151.81150.40149.80151.43150.46149.86K2+368.676151.69150.49149.89151.31150.53149.93K2+380151.56150.71150.11151.18150.63150.03K2+400151.41151.12150.52151.03150.94150.34K2+420151.36151.62150.76150.98151.22150.38K2+440151.41152.04150.81151.03151.53150.43K2+441.786151.42152.07150.82151.04151.55150.44K2+460151.37152.32150.77151.19151.72150.59K2+480151.33152.45150.73151.33151.78150.73K2+500151.47152.42150.87151.47151.67150.87K2+520151.61152.23151.01151.61151.54150.94K2+540151.75152.08151.15151.75151.36150.76K2+551.786151.83152.05151.23151.83151.36150.76K2+560151.89152.04151.29151.89151.35150.75K2+580152.19152.02151.42152.19151.56150.96K2+600152.71152.34151.74152.71152.01151.41K2+620153.45152.97152.37153.45152.86152.26K2+640154.41153.88153.28154.41154.12153.52K2+660155.59154.96154.36155.59155.78154.99K2+680156.93156.43155.83156.93151.47156.33K2+700158.27151.62151.02158.27159.32151.67K2+720159.51158.85158.25159.51161.17158.91K2+740160.48160.23159.63160.48162.80159.88K2+760161.19160.81160.59161.19164.02160.59K2+780161.63161.21161.03161.63164.96161.03K2+800161.80161.55160.95161.80165.17161.20K2+820161.71160.87160.27161.71164.68161.11K2+840161.35159.92159.32161.35163.82160.75K2+860160.89159.10158.50160.89162.83160.29K2+880160.43158.44151.84160.43161.92159.83K2+900159.97151.88151.28159.97161.07159.37K2+920159.51151.43156.83159.51160.34158.91K2+940159.05151.02156.42159.05159.81158.45K2+960158.59156.71156.11158.59159.47151.99K2+980158.13156.43155.83158.13159.27151.53K3+000151.67156.15155.55151.67159.11151.07K3+020151.21155.85155.25151.21158.89156.61K3+040156.75155.59154.99156.75158.60156.151.4路基防护工程1.4.1路堤边坡防护(1)对于土质填方路堤边坡高度0m<H≤4m时,填方路段路堤边坡采用植草进行坡面防护。(2)对于土质填方路堤边坡高度4m<H≤8m时,填方路段路堤边坡采用路堤拱形骨架进行坡面防护。1.4.2路堑边坡防护挖方边坡防护以经济、实用、安全、方便施工为原则。边坡在确保安全的前提下尽量采用植物防护,并尽量少采用实体护面墙、石砌挡土墙等防护形式。(1)对土质挖方路堑边坡:当挖方高度为0m≤H<4m时,边坡采用喷播植草进行坡面防护;当挖方高度为4m≤H<8m时,采用路堑拱形骨架防护。1.5边坡稳定性验算本次设计在K1+580~K1+700设置有一处桥梁,桥头两侧填方深度较大,小桩号桥头边坡桥头深度为9m,大桩号填方高度为8.5m,故对K1+580位置边坡高度9m位置进行边坡稳定性验算,保证道路和边坡的稳定性。图1.5稳定性验算位置图1.5.设计资料及分析已知路堤高度9m,路基宽10m,地面水平。拟定路堤填土为粉质中液限粘土,粘聚力c=20.4kPa,内摩擦角23.2°,填土容重γ=19.0kN/m3。换算土柱高为h0=2m。设计路基断面并分析其路堤边坡稳定性。路堤填土为粉质中液限粘土,根据路基设计规范,路堤边坡坡率为1:1.5,;1.5.2圆弧条分法1.5.2.1用4.5H法确定圆心辅助线连接坡脚E与坡顶S,得边线ES,计算得其坡比为1:1.23,根据坡比1:1.23查表3-11得取β1=25°,β2=35°,过SE和坡顶水平线分别作角β1、β2,两角线的交点为I;过坡脚E作垂线EF=9+2=11m,过F点作水平线FM=4.5*11=49.5m,连接IM即得圆心辅助线。结果如图所示图14.5H法确定危险圆心辅助线1.5.2.2假设滑动曲线通过路基中线1、计算步骤(1)圆弧范围内土条分10段,每段宽=(13.5+13)/2=2.65m。(2)计算曲线每一分段距圆心竖线之间的偏角αi,其中,Xi为各段中心横坐标,圆心竖线右侧为正,左侧为负,R 为滑动曲线半径。(3)将土条底部曲线近似看做直线,计算各分段面积,其中包括土柱部分面积。 (4)取路堤1m长,计算各分段重力Gi=γAi,并计算其法向分量Ni=Gicosαi,切向分量Ti=Gisinαi。(5)计算曲线总弧长L。(6)计算稳定系数K,2、计算结果如下:通过土条10等分,取每段土条中位线深度作为土条深度Hi,并记下相关数据。图2滑动曲线通过路基中线具体数据如下表所示:分段土条深度Hi(m)αisinαicosαiAi(㎡)Gi(Kn/m)Ni=Wicosαi(Kn/m)Ti=Wisinαi(Kn/m)11.79-31.33-0.520.854.7490.0676.55-46.8324.87-21.72-0.370.9312.91245.29228.12-90.7631.44-12.12-0.210.9819.72374.68361.19-78.6849.56-2.87-0.051.0025.33481.27481.27-24.06511.265.740.101.0029.84566.96566.9656.70613.8215.070.260.9736.62695.78674.91180.90712.8724.830.420.9134.11648.09589.76272.20811.3534.750.570.8230.08571.52468.65325.7799.0646.890.730.6824.01456.19310.21333.02105.3462.870.890.4514.15268.85120.98239.28合计3884.601161.54其中:土条宽度3.45m,滑动曲线长L=32.94m。最后算得边坡稳定系数K=(20.4×32.94+3884.60×tan23.2°)/1161.54=2.011.5.2.3假设滑动曲线通过距左边缘路基1/4路基宽度处用类似的方法对土条10等分,仍取每段土条中位线深度作为土条深度,结果如下:图3滑动曲线通过距左边缘路基1/4路基宽度处具体数据如下表所示:分段土条深度Hi(m)αisinαicosαiAi(㎡)Gi(Kn/m)Ni=Wicosαi(Kn/m)Ti=Wisinαi(Kn/m)11.04-10.95-0.190.982.0839.5238.73-1.5122.48-4.01-0.071.004.9694.2494.24-6.6033.842.290.041.001.68145.92145.925.8444.989.210.160.999.96189.24181.3530.2855.8815.660.270.9611.76223.44214.5060.3366.5322.950.390.9213.06248.14228.2996.7776.9030.660.510.8613.80262.20225.49133.7281.9138.320.620.7815.82300.58234.45186.3696.1541.730.740.6712.30233.70156.58172.94103.6859.320.860.511.36139.8471.32120.26合计1596.87792.39其中:土条宽度2m,滑动曲线长L=23.64m。最后算得边坡稳定系数K=(20.4×23.64+1596.87×tan23.2°)/792.39=1.481.5.2.4假设滑动曲线通过距左边缘路基3/8路基宽度处用类似的方法对土条10等分,仍取每段土条中位线深度作为土条深度,结果如下:图5滑动曲线通过距左边缘路基3/8路基宽度处具体数据如下表所示:分段土条深度Hi(m)αisinαicosαiAi(㎡)Gi(Kn/m)Ni=Wicosαi(Kn/m)Ti=Wisinαi(Kn/m)11.29-

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