《二級(jí)公路的路線縱斷面設(shè)計(jì)案例》2100字

二級(jí)公路的路線縱斷面設(shè)計(jì)案例綜述1.1豎曲線計(jì)算1.1.1豎曲線幾何要素縱斷面設(shè)計(jì)時(shí)所用圖式如下圖所示。圖1.1豎曲線要素示意圖（5-1）（5-2）（5-3）式中：L—豎曲線長度，m；ω—坡差，%；R—豎曲線半徑，m；E—豎曲線外距，m；T—豎曲線切線長，m。1.1.2豎曲線計(jì)算內(nèi)容（1）豎曲線邊坡點(diǎn)1，對(duì)應(yīng)樁號(hào)為K0+140，對(duì)應(yīng)標(biāo)高Ho為167.82m，前坡度i1=-0.7%，后坡度i2=-4.8%，豎曲線半徑R=3000m。圖4.2豎曲線1示意圖坡度差：ω＝i2－i1＝-4.8%－-0.7%＝-4.1%，為凸形。豎曲線長：L=Rω＝3000×4.1%＝123m切線長：T＝L/2＝123÷2＝61.5m外矢距：計(jì)算設(shè)計(jì)高程豎曲線中點(diǎn)設(shè)計(jì)高程＝Ho-E＝（167.82）-0.63＝167.19豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K0+140）－61.5＝K0+079豎曲線起點(diǎn)高程=167.82－61.5×（-0.7%）=168.2505m豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K0+140）－61.5＝K0+202豎曲線起點(diǎn)高程=167.82－61.5×（-4.8%）=164.868m（2）豎曲線邊坡點(diǎn)2，對(duì)應(yīng)樁號(hào)為K0+450，對(duì)應(yīng)標(biāo)高Ho為152.94m，前坡度i1=-4.8%，后坡度i2=-1.5%，豎曲線半徑R=6000m。圖4.2豎曲線2示意圖坡度差：ω＝i2－i1＝-1.5%－-4.8%＝3.3%，為凹形。豎曲線長：L=Rω＝6000×3.3%＝198m切線長：T＝L/2＝198÷2＝99m外矢距：計(jì)算設(shè)計(jì)高程豎曲線中點(diǎn)設(shè)計(jì)高程＝Ho+E＝（152.94）+0.817＝153.757豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K0+450）－99＝K0+351豎曲線起點(diǎn)高程=152.94－99×（-4.8%）=157.692m豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K0+450）－99＝K0+549豎曲線起點(diǎn)高程=152.94－99×（-1.5%）=151.455m（3）豎曲線邊坡點(diǎn)3，對(duì)應(yīng)樁號(hào)為K0+830，對(duì)應(yīng)標(biāo)高Ho為147.24m，前坡度i1=-1.5%，后坡度i2=3.6%，豎曲線半徑R=3000m。圖4.2豎曲線3示意圖坡度差：ω＝i2－i1＝3.6%－-1.5%＝1.1%，為凹形。豎曲線長：L=Rω＝3000×1.1%＝153m切線長：T＝L/2＝153÷2＝76.5m外矢距：計(jì)算設(shè)計(jì)高程豎曲線中點(diǎn)設(shè)計(jì)高程＝Ho+E＝（147.24）+0.975＝148.215豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K0+830）－76.5＝K0+754豎曲線起點(diǎn)高程=147.24－76.5×（-1.5%）=148.3875m豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K0+830）－76.5＝K0+907豎曲線起點(diǎn)高程=147.24－76.5×（3.6%）=149.994m（4）豎曲線邊坡點(diǎn)4，對(duì)應(yīng)樁號(hào)為K1+650，對(duì)應(yīng)標(biāo)高Ho為176.76m，前坡度i1=3.6%，后坡度i2=-3.7%，豎曲線半徑R=5000m。圖4.2豎曲線4示意圖坡度差：ω＝i2－i1＝-3.7%－3.6%＝-7.3%，為凸形。豎曲線長：L=Rω＝5000×7.3%＝365m切線長：T＝L/2＝365÷2＝182.5m外矢距：計(jì)算設(shè)計(jì)高程豎曲線中點(diǎn)設(shè)計(jì)高程＝Ho-E＝（176.76）-3.331＝173.429豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K1+650）－182.5＝K1+468豎曲線起點(diǎn)高程=176.76－182.5×（3.6%）=170.19m豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K1+650）－182.5＝K1+833豎曲線起點(diǎn)高程=176.76－182.5×（-3.7%）=170.008m5、豎曲線邊坡點(diǎn)5，對(duì)應(yīng)樁號(hào)為K2+360，對(duì)應(yīng)標(biāo)高Ho為150.49m，前坡度i1=-3.7%，后坡度i2=0.7%，豎曲線半徑R=4000m。圖4.2豎曲線5示意圖坡度差：ω＝i2－i1＝0.7%－-3.7%＝4.4%，為凹形。豎曲線長：L=Rω＝4000×4.4%＝176m切線長：T＝L/2＝176÷2＝88m切線長：T＝L/2＝116÷2＝58m外矢距：計(jì)算設(shè)計(jì)高程豎曲線中點(diǎn)設(shè)計(jì)高程＝Ho+E＝（150.49）+0.968＝151.458豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K2+360）－88＝K2+272豎曲線起點(diǎn)高程=150.49－88×（-3.7%）=153.746m豎曲線起點(diǎn)樁號(hào)＝變坡點(diǎn)樁號(hào)－T＝（K2+360）－88＝K2+448豎曲線起點(diǎn)高程=150.49－88×（0.7%）=151.106m經(jīng)過校核變坡點(diǎn)計(jì)算準(zhǔn)確。表1.3縱斷面設(shè)計(jì)結(jié)果變坡點(diǎn)前坡后坡半徑曲線長L切線長T外距E樁號(hào)標(biāo)高(m)（%）（%）（m）（m）（m）（m）K0+140167.82-0.7-4.8300012361.50.63K0+450152.94-4.8-1.56000198990.817K0+830147.24-1.53.6300015376.50.975K1+650176.763.6-3.75000365182.53.331K2+360150.49-3.70.74000176880.9681.1.3豎曲線上任意點(diǎn)高程計(jì)算（1）計(jì)算任意點(diǎn)切線高程（5-4）（2）計(jì)算設(shè)計(jì)高程（5-5）（5-6）（3）變坡點(diǎn)前直線任一點(diǎn)高程（5-7）（4）變坡點(diǎn)后直線任一點(diǎn)高程（5-8）1.1.3高程計(jì)算過程（1）變坡點(diǎn)前直線段上，以K0+059為例，計(jì)算設(shè)計(jì)標(biāo)高：設(shè)計(jì)標(biāo)高H＝Ho－i×L＝167.82－（-0.7%）×（140－58.5）=168.3905變坡點(diǎn)后直線段上，以K0+222為例，計(jì)算設(shè)計(jì)標(biāo)高：設(shè)計(jì)標(biāo)高H＝Ho＋i×L＝167.82＋（-4.8%）×（221.5－140）=163.908其余高程點(diǎn)計(jì)算同上，路線的計(jì)算結(jié)果見表1.41.4縱斷面高程計(jì)算表樁號(hào)地面高程設(shè)計(jì)高程填挖高度備注(ｍ)(ｍ)(ｍ)填挖K0+000168.84168.80.0420167.88168.660.7840167.34168.521.1860167.4168.380.9880167.84168.240.4100168.14168.020.12120168.26167.670.58140167.98167.190.79160167.26166.570.68180166.16161.820.33200164.77164.940.17220163.21163.980.77240161.45163.021.57260160.04162.062.02280158.8161.12.3283.856158.58160.912.33300157.88160.142.26320157.04159.182.14340156.37158.221.85353.856151.96157.561.59360151.73157.271.53380154.98156.371.39400154.33151.541.21420153.74154.781.04440153.22154.080.86448.611153.09153.80.71460152.85153.450.6K0+480152.59152.890.3500152.42152.390.03520152.29151.960.33540152.13151.60.53543.366152.13151.540.58560151.81151.290.52580151.57150.990.58600151.21150.690.52613.366151.27150.490.78620151.04150.390.65640150.63150.090.54660150.13149.790.34680149.63149.490.14700149.08149.190.11720148.83148.890.06740148.48148.590.11760148.22148.30.08780147.98148.110.13800147.8148.050.25820147.84148.130.29840147.93148.340.4860148.29148.680.39880148.73149.160.43900149.23149.770.53920149.76150.480.72940150.33151.20.87960151.06151.920.86K0+980151.89152.640.75K1+000152.89153.360.4720154.08154.08040151.3154.80.560156.61151.521.0980157.94156.241.7100159.32156.962.36120160.41157.682.73140161.01158.42.61160161.21159.122.09180161159.841.16200160.78160.560.22220160.59161.280.69240160.581621.42260160.71162.722.01280161.04163.442.4300161.64164.162.52320162.4164.882.48340163.38161.62.22347.524163.79161.872.08360164.53166.321.79380161.71167.041.33400166.96167.760.8420168.17168.480.31440169.4169.20.2460170.35169.920.43480170.97170.620.34K1+500170.48171.250.77520169.49171.82.32527.524169.09171.992.9540168.33172.273.94560167.04172.661.62580161.74172.977.24600164.44173.28.76620163.34173.3510.02636.609162.57173.4210.85640162.5173.4210.92660162.69173.4110.72680163.53173.329.79700161.46173.157.69720167.88172.91.02740170.68172.571.9741.693171.51172.470.96760173.33172.161.16780171.47171.673.8800176.74171.11.64820177.02170.456.57840176.46169.736.73860171.24168.996.25880173.53168.251.28900171.57167.514.06920169.59166.772.82921.693169.07166.562.51940167.75166.031.72K1+960161.96161.290.67980164.63164.550.08K2+000163.7163.810.1120163.02163.070.0540162.38162.330.0560161.6161.590.0180161.01160.850.16100160.44160.110.33120159.83159.370.46140159.11158.630.48160158.23157.890.34180157.24157.150.09181.566156.95156.940200156.2156.410.21220151.14151.670.53240154.17154.930.77260153.37154.190.82280152.5153.460.96291.566151.83152.941.12300151.65152.811.16320151152.261.26340150.57151.811.24360150.42151.461.04368.676150.5151.340.83380150.65151.210.56400151.02151.060.04420151.43151.010.42K2+440151.75151.060.69441.786151.78151.070.71460152151.190.8