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某双向四车道高速公路平面设计案例目录TOC\o"1-3"\h\u2433某双向四车道高速公路平面设计案例 1217861.1平面设计概述 1250001.2平面线形设计的基本要求 1320301.3直线 14791.4圆曲线 2119771.4.1最小半径 2231.4.2横向力系数µ 2173391.4.3最大超高值ih(max) 2212761.5缓和曲线 2213131.5.1作用 2205881.5.2缓和曲线的形式 217401.5.3缓和曲线最小长度 297161.6平曲线计算: 3240171.6.1交点坐标: 386211.6.2平曲线几何要素计算 5208451.6.3主点桩号计算 8223031.7逐桩坐标表 91.1平面设计概述道路中心线在水平方向上的投影就是道路的平面线形。直线、圆曲线和缓和曲线是道路线形三个要素。在平面线形设计时,为保证行车的安全性和舒适性,设计者应结合实际地形,遵循平面线形设计的原则,保证三个要素的大小均衡,合理布设平面线形。1.2平面线形设计的基本要求平面线形应注意连贯均衡、相互连续,与地形能够有很好的结合适应,与周围环境相互平衡协调。构造物和附属设施的联系应该在线形设计考虑范围之内。着重观察纵断面线形的结合和曲线间的组合。各个等级公路不管转角大小都应该设计曲线,并应该选取相对比较大的圆曲线半径,转角比较小的时候,不能有比较短的圆曲线。1.3直线1.最大长度限制直线距离过长,驾驶过程枯燥,再加上沿途景观比较单调,易引发交通事故,故直线的最大长度应有所限制。20V=2400m2.最小长度限制如果两圆曲线间的直线段长度过短,驾驶员由一个弯道驶入另一个弯道时,不能正确地进行驾驶操作,行车的安全得不到保证。所以针对不同的曲线组合形式,曲线间的直线长度有着不同限制。反向/同向曲线中2V=240米/6V=720米。1.4圆曲线1.4.1最小半径技术指标高速公路一般最小半径1000m极限最小半径810m不设超高最小半径路拱≤2.0%5500m路拱≥2.0%7500m当圆曲线巨大时可以不设超高直接设置路拱。1.4.2横向力系数µ横向力有很大时,会有很大的危害,严重影响到驾驶员在驾驶过程中的安全问题,具体表现在下面几个方面:1.µ要小于横向摩阻系数φh,要求车子的轮胎不能过度磨损;2.驾驶员驾驶技术要过硬,要能够保持好方向盘,否则会被影响驾驶方向操作的困难;3.会加大汽车的油耗,增加经济成本;4.会影响到副驾驶或者后座乘客的体验,增加紧张感。一般µ值在0.10~0.16为好。1.4.3最大超高值ih(max)道路上面有各种各样的车辆在行驶,车辆的行驶速度也不尽相同,有的车速快,有的车速慢,我们不仅要满足慢车的行驶要求,更要满足快车的行驶要求。如果ih过大,则有可能发生车辆沿着最大合成坡度下滑的结果发生,造成不必要的危险发生,所以我们对ih有个最大的限度要求,即ih(max)≤φw。1.5缓和曲线1.5.1作用让车辆在行驶过程中,轨迹变化连续,行车舒适。在行驶过程中,离心力也随着变化,能够让乘客感到舒服。让车辆在行车过程中更加的平稳,有利于安全。增加线路的美观程度。1.5.2缓和曲线的形式因为回旋线简单方便的原因。一般采用回旋线。1.5.3缓和曲线最小长度取100m。1.6平曲线计算:1.6.1交点坐标:1.方位角计算①起点和交点1坐标增量:Dx=3266954.8-3267711.4=-756.600Dy=39650371.2-39649018.8=1352.400交点间距:S=DX²+DY²象限角:θ=arctg因为Dx<0,Dy>0,故方位角A1=180°-60.775°=119.225°=119°13′30.0″②交点1和交点2坐标增量:Dx=3267577.213-3266954.8=622.413Dy=39651071.851-39650371.2=700.651交点间距:S=DX²+DY²象限角:θ=arctg因为Dx>0,Dy>0,故方位角A2=48.384°=48°23′02.4″③交点2和终点坐标增量:Dx=3268684.596-3267577.213=1107.382Dy=39650808.772-39651071.851=-261.078交点间距:S=DX²+DY²象限角:θ=arctg因为Dx>0,Dy<0,故方位角A3=360°-11.364°=346.636°=346°38′09.6″2.计算转角值得:α1=A2-A1=48°23′02.4″-119°13′30.0″=-70°50′27.6″(左)α2=A3-A2=346°38′09.6″-48°23′02.4″=298°15′07.2″(右)结果如下:交点号交点坐标交点桩号转角值直线长度及方向N(X)E(Y)直线

段长(m)交点

间距(m)计算

方位角12345678JD03267711.439649018.8K0+000855.6591549.655119°13′29.4″JD13266954.839650371.2K1+549.65570°50′26.4″(Z)0937.18248°23′03″JD23267577.21439651071.85K2+350.43261°44′51.1″(Z)525.3391138.204346°38′09.9″JD33268684.59639650808.77K3+400.87500001.6.2平曲线几何要素计算如图所示:JD1桩号为K1+549.655时速120km/h,圆曲线半径为700m,缓和曲线长度为400m,转角为70°50′26.4″(Z)计算如下:切线增长值:q=内移值:p=缓和曲线角:β切线长:

T=(R+p)平曲线长:

L=(圆曲线长:Ly=L−2Ls=1265.482−2∗400=465.482m外距:

E=(R+p)校正值:J=2T−L=2∗704.047−1265.482=142.612m经检验无误JD2交点桩号为K2+350.432,时速120km/h,圆曲线半径为700m,缓和曲线长度为400m,转角为61°44′51.1″(Z)计算如下:切线增长值:q=内移值:p=缓和曲线角:β切线长:

T=(R+p)平曲线长:

L=(圆曲线长:Ly=L−2Ls=1154.295−2∗400=465.482m外距:

E=(R+p)校正值:J=2T−L=2∗623.642−1154.295=92.989m经检验无误。如图汇集图表交点R(m)α(°)Ls(m)q(m)p(m)β(°)L(m)T(m)E(m)J(m)JD170070.841400199.4569.49316.3701265.482704.045170.626142.608JD270061.748400199.4569.49316.3701154.395621.642126.62892.8891.6.3主点桩号计算1.JD1交点桩号为K1+549.655,计算如下ZH=JD1-T=(K1+549.655)-704.045=K0+855.659HY=ZH+Ls=(K0+855.659)+400=K1+255.659YH=HY+Ly=(K1+255.659)+465.482=K1+921.141HZ=YH+Ls=(K1+921.141)+400=K1+921.141QZ=HZ-L/2=(K1+921.141)+1265.482/2=K1+588.400JD1=QZ+J/2=(K1+588.400)+142.608/2=K1+549.6552.JD2交点桩号为K2+350.432,计算如下ZH=JD2-T=(K2+350.432)-623.642=K1+921.141HY=ZH+Ls=(K1+921.141)+400=K1+921.141YH=HY+Ly=(K1+921.141)+354.395=K2+475.536HZ=YH+Ls=(K2+475.536)+400=K2+875.536QZ=HZ-L/2=(K2+875.536)+1154.395/2=K2+198.339JD2=QZ+J/2=(K2+198.339)+92.889/2=K2+350.432经检验,各交点桩号无误。汇集如下表:交点号交点桩号曲线主点桩号第一缓和曲线第一缓和曲线终曲线中点第二缓和曲线起第二缓和曲线起点点或圆曲线起点点或圆曲线终点终点1234567起点K0+000JD1K1+549.655K0+855.659K1+255.659K1+588.400K1+921.1410JD2K2+350.4320K1+921.141K2+198.339K2+475.536K2+875.536终点K3+400.8751.7逐桩坐标表桩号坐标桩号坐标N(X)E(Y)N(X)E(Y)K0+0003267711.439649018.8K0+8003267320.8139649716.97K0+0203267701.63539649036.25K0+8203267311.04539649734.42K0+0403267691.8739649053.71K0+8403267301.2839649751.88K0+0603267682.10639649071.16K0+855.6593267293.63539649765.54K0+0803267672.34139649088.62K0+8603267291.51639649769.33K0+1003267662.57639649106.07K0+8803267281.75839649786.79K0+1203267652.81139649123.53K0+9003267272.03139649804.26K0+1403267643.04739649140.98K0+9203267262.3639649821.77K0+1603267633.28239649158.43K0+9403267252.76939649839.32K0+1803267623.51739649175.89K0+9603267243.28439649856.93K0+2003267613.75239649193.34K0+9803267233.9339649874.61K0+2203267603.98839649210.8K1+0003267224.73439649892.37K0+2403267594.22339649228.25K1+0203267215.72139649910.22K0+2603267584.45839649245.7K1+0403267206.91939649928.18K0+2803267574.69339649263.16K1+0603267198.35439649946.25K0+3003267564.92939649280.61K1+0803267190.05339649964.45K0+3203267555.16439649298.07K1+1003267182.04639649982.78K0+3403267545.39939649315.52K1+1203267174.35939650001.24K0+3603267535.63439649332.98K1+1403267167.02239650019.84K0+3803267525.8739649350.43K1+1603267160.06539650038.59K0+4003267516.10539649367.88K1+1803267153.51739650057.49K0+4203267506.3439649385.34K1+2003267147.40839650076.54K0+4403267496.57539649402.79K1+2203267141.7739650095.72K0+4603267486.81139649420.25K1+2403267136.63339650115.05K0+4803267477.04639649437.7K1+255.6593267132.98139650130.28K0+5003267467.28139649455.16K1+2603267132.02839650134.51K0+5203267457.51639649472.61K1+2803267127.97939650154.1K0+5403267447.75239649490.06K1+3003267124.49139650173.79K0+5603267437.98739649507.52K1+3203267121.56739650193.58K0+5803267428.22239649524.97K1+3403267119.2139650213.44K0+6003267418.45739649542.43K1+3603267117.42139650233.36K0+6203267408.69339649559.88K1+3803267116.20139650253.32K0+6403267398.92839649577.33K1+4003267115.55339650273.31K0+6603267389.16339649594.79K1+4203267115.47539650293.31K0+6803267379.39839649612.24K1+4403267115.96939650313.3K0+7003267369.63439649629.7K1+4603267117.03439650333.27K0+7203267359.86939649647.15K1+4803267118.66939650353.2K0+7403267350.10439649664.61K1+5003267120.87339650373.08K0+7603267340.33939649682.06K1+5203267123.64439650392.89K0+7803267330.57439649699.51K1+5403267126.97939650412.61桩号坐标桩号坐标N(X)E(Y)N(X)E(Y)K1+6003267140.34439650471.08K2+3603267664.3739650969.52K1+6203267145.90739650490.29K2+3803267683.95839650973.56K1+6403267152.01639650509.33K2+4003267703.65339650977.03K1+6603267158.66639650528.19K2+4203267723.43939650979.94K1+6803267165.85339650546.86K2+4403267743.30139650982.29K1+7003267173.56939650565.31K2+4603267763.22139650984.06K1+7203267181.8139650583.53K2+475.5363267778.72539650985.05K1+7403267190.56839650601.51K2+480326778327K1+7603267199.83639650619.23K2+500326780392K1+7803267209.60739650636.68K2+520326782302K1+8003267219.87239650653.85K2+5403267843.16739650985.62K1+8203267230.62339650670.71K2+560326786375K1+8403267241.85139650687.26K2+5803267883.10339650983.42K1+8603267253.54839650703.48K2+6003267903.02639650981.67K1+8803267265.70339650719.36K2+6203267922.91139650979.53K1+9003267278.30839650734.89K2+6403267942.75339650977.02K1+9203267291.3539650750.05K2+6603267962.55139650974.18K1+921.1413267292.10739650750.91K2+6803267982.30239650971.04K1+9403267304.8239650764.84K2+7003268002.00839650967.63K1+9603267318.70839650779.23K2+7203268021.66939650963.96K1+980326733339650793.22K2+7403268041.28939650960.08K2+0003267347.68739650806.79K2+7603268060.8739650956.01K2+0203267362.75539650819.94K2+7803268080.41639650951.77K2+0403267378.19339650832.66K2+8003268099.93439650947.41K2+0603267393.98739650844.92K2+8203268119.42739650942.93K2+0803267410.12639650856.74K2+8403268138.90339650938.38K2+1003267426.59639650868.08K2+8603268158.36739650933.79K2+1203267443.38239650878.95K2+4003267703.65339650977.03K2+1403267460.47339650889.34K2+4203267723.43939650979.94K2+1603267477.85339650899.23K2+4403267743.30139650982.29K2+1803267495.50939650908.63K2+4603267763.22139650984.06K2+198.3393267511.92939650916.79K2+475.5363267778.72539650985.05K2+2003267513.42639650917.51K2+480326778327K2+2203267531.5939650925.88K2+500326780392K2+2403267549.98539650933.73K2+520326782302K2+2603267568.59739650941.05K2+5403267843.16739650985.62K2+2803267587.41139650947.83K2+560326786375K2+3003267606.4139650954.08K2+5803267883.10339650983.42K2+3203267625.58139650959.78K2+6003267903.02639650981.67K2+3403267644.90639650964.92K2+6203267922.91139650979.53桩号坐标桩号坐标N(X)E(Y)N(X)E(Y)K1+6003267140.34439650471.08K2+3603267664.3739650969.52K1+6203267145.90739650490.29K2+3803267683.95839650973.56K1+6403267152.01639650509.33K2+4003267703.65339650977.03K1+6603267158.66639650528.19K2+4203267723.43939650979.94K1+6803267165.85339650546.86K2+4403267743.30139650982.29K1+7003267173.56939650565.31K2+4603267763.22139650984.06K1+7203267181.8139650583.53K2+475.5363267778.72539650985.05K1+7403267190.56839650601.51K2+480326778327K1+7603267199.83639650619.23K2+500326780392K1+7803267209.60739650636.68K2+520326782302K1+8003267219.87239650653.85K2+5403267843.16739650985.62K1+8203267230.62339650670.71K2+560326786375K1+8403267241.85139650687.26K2+5803267883.10339650983.42K1+8603267253.54839650703.48K2+6003267903.02639650981.67K1+8803267265.70339650719.36K2+6203267922.91139650979.53K1+9003267278.30839650734.89K2+6403267942.75339650977.02K1+9203267291.3539650750.05K2+6603267962.55139650974.18K1+921.1413267292.10739650750.91K2+6803267982.30239650971.04K1+9403267304.8239650764.84K2+7003268002.00839650967.63K1+9603267318.70839650779.23K2+7203268021.66939650963.96K1+980326733339650793.22K2+7403268041.28939650960.08K2+0003267347.68739650806.79K2+7603268060.8739650956.01K2+0203267362.75539650819.94K2+7803268080.41639650951.77K2+0403267378.19339650832.66K2+8003268099.93439650947.41K2+0603267393.98739650844.92K2+8203268119.42739650942.93K2+0803267410.12639650856.74K2+8403268138.90339650938.38K2+1003267426.59639650868.08K2+8603268158.36739650933.79K2+1203267443.38239650878.95K2+4003267703.65339650977.03K2+1403267460.47339650889.34K2+4203267723.43939650979.94K2+1603267477.85339650899.23K2+4403267743.30139650982.29K2+1803267495.50939650908.63K2+4603267763.22139650984.06K2+198.3393267511.92939650916.79K2+475.5363267778.72539650985.05K2+2003267513.42639650917.51K2+480326778327K2+2203267531.5939650925.88K2+500326780392K2+2403267549.98539650933.73K2+520326782302K2+2603267568.59739650941.05K2+5403267843.16739650985.62K2+2803267587.41139650947.83K2+560326786375K2+3003267606.4139650954.08K2+5803267883.10339650983.42K2+3203267625.58139650959.78K2+6003267903.02639650981.67K2+3403267644.90639650964.92K2+6203267922.91139650979.53桩号坐标桩号坐标N(X)E(Y)N(X)E(Y)K2+6403267942.75339650977.02K3+0203268314.03539650896.81K2+6603267962.55139650974.18K3+0403268333.49339650892.18K2+6803267982.30239650971.04K3+0603268352.95239650887.56K2+7003268002.00839650967.63K3+0803268372.4139650882.94K2+7203268021.66939650963.96K3+1003268391.86939650878.31K2+7403268041.28939650960.08K3+1203268411.32739650873.69K2+7603268060.8739650956.01K3+1403268430.78639650869.07K2+7803268080.41639650951.77K3+1603268450.24439650864.45

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