超高

附录四平曲线超高计算
路基设计标高采用未超高加宽前的路基边缘标高，超高旋转轴位于土路肩抬升后未超高加宽前的路基边缘，超高过程为外侧行车道绕路中线旋转，待达到与内侧行车道构成单向横坡后，内侧土路肩绕行车道边缘旋转至行车道的正常横坡，然后整个断面绕未超高加宽前的内侧路基边缘旋转。

S型曲线超高为待第一个曲线的内侧土路肩绕行车道边缘旋转至行车道的正常横坡后整个断面一直绕未超高加宽前的内侧路基边缘旋转直到第二个曲线的缓直点。

计算公式为：
旋转轴高差（h
旋）=内侧土路肩宽度)
(
2
1
i
i内侧路拱横坡
—
内侧土路肩坡度
⨯
路基内侧边缘高差（B
1）=旋转轴高差—内侧土路肩坡度
1
i
x
b
加宽宽度
⨯
内侧行车道边缘高差(B
2)=路基内侧边缘高差+内侧土路肩坡度
1
i⨯内侧土路肩宽度
路基中心高差（C）=内侧行车道边缘高差+（路面宽度+加宽值）⨯内侧路拱横坡
2
i
外侧行车道边缘高差(B
2)=路基中心高差+路面宽度⨯外侧路拱横坡
2
i。

外侧路基边缘高差（B
1）=外侧行车道边缘高差—外侧土路肩宽度⨯外侧土路肩坡度
1
i
其中内(外)土路肩宽度=0.75m 内(外)路面宽度=3.75m,h
旋
=0.75⨯(3%-2%)=0.0075m 直线段K0+000至K0+932.397，无旋转轴高差，在该段上的各点超高值相等。

所以：左侧：B1= 0.0075 B2=0.75⨯3%=0.023m
中桩：C=0.023+（3.500+0）⨯2%=0.093m
右侧：B1=0 B2=0.023
JD1
桩号K0+932.397至K1+052.397之间为缓和曲线段，所以：
桩号K0+940.000：
b
x =0.0m 左
2
i=-3.00%,
1
i=-1.556%; 右
2
i=-2%,
1
i=-2%
左B
1=0.0075m 左B
2
=0.0075+0.75⨯1.556%=0.0087m
C=0.0087+（3.75+0）⨯3.00%=0.1212m
右B
2=0.1212+3.75⨯2%=0.196m 右B
1
=0.196—0.75⨯2%=0.18m
桩号K0+960：
b
x =0m 左
2
i=-3%，
1
i=-0.390% 右
2
i=-2%，
1
i=-2%
左B
1=0.0075m 左B
2
=0.0075+0.75⨯0.390%=0.011m
C=0.011+（3.75+0）⨯3%=0.081m
右B
2=0.081+3.500⨯2%=0.1935m 右B
1
=0.1935—0.75⨯2%=0.179m
桩号K0+980：
b
x =0 m 左
2
i=-3%，
1
i=0.777% 右
2
i=-2%，
1
i=-2%
左B
1=0.0075m 左B
2
=0.0075+0.75⨯0.777%=0.0658m
C=0.0685+（3.75+0）⨯3%=0.181m
右B
2=0.181+3.75⨯2%=0.256m 右B
1
=0.256—0.75⨯2%=0.241m
桩号K1+000:
b
x =0m 左
2
i=3%,
1
i=1.944% 右
2
i=-2%,
1
i=-2%
左B
1=0.0075 左B
2
=0.0075+0.75⨯1.944%=0.022m
C=0.022+（3.75+0）⨯3%=0.135m
右B
2=0.135+3.75⨯2%=0.262m 右B
1
=0.262—0.75⨯2%=0.247m
桩号K0+520：
b
x =0m 左
2
i=2.322%，
1
i=2.322% 右
2
i=2.322%，
1
i=2.322%
左B
1=0.0075-0⨯2.322%=-0.0075m 左B
2
=0.0075+0.75⨯2.322%=0.0249m
C=0.0249+（3.500+0）⨯2.322%=0.106m
右B
2=0.106+3.500⨯2.322%=0.1873m 右B
1
=0.1873—0.75⨯2.322%=0.1698m
桩号K0+540：
b
x =0 m 左
2
i=2.789%，
1
i=2.789% 右
2
i=-2.789%，
1
i=-2.789%
左B
1=0.0075-0⨯2.789%=0.0075m 左B
2
=0.0075+0.75⨯2.789%=0.0285m
C=0.0285+（3.500+0）⨯2.789%=0.126m
右B
2=0.126+3.500⨯2.789%=0.255m 右B
1
=0.2236—0.75⨯2.789%=0.203m
桩号K0+580：
b
x =0 m 左
2
i=3%，
1
i=3% 右
2
i=-3%，
1
i=-3%
左B
1=0.0075-0⨯3%=0.0075m 左B
2
=0.0075+0.75⨯3%=0.03m
C=0.03+（3.500+0）⨯3%=0.135m
右B
2=0.135+3.500⨯3%=0.24m 右B
1
=0.24—0.75⨯3%=0.218
桩号K0+594.002至桩号K0+671.526为圆曲线段，采取等加宽，其各值与桩号K0+580处相等桩号K0+671.526至桩号K0+791.526为缓和曲线段，所以：
桩号K0+680：
b
x =0 m 左
2
i=2.802%，
1
i=2.802% 右
2
i=-2.802%，
1
i=-2.802%
左B
1=0.0075-0⨯2.802%=0.0075m 左B
2
=0.0075+0.75⨯2.802%=0.0285m
C=0.0285+（3.500+0）⨯2.802%=0.1266m
右B
2=0.1266+3.500⨯2.802%=0.2247m 右B
1
=0.2247—0.75⨯2.802%=0.204m
桩号K0+700：
b
x =0 m 左
2
i=2.344%，
1
i=2.344% 右
2
i=-2.344%，
1
i=-2.344%
左B
1=0.0075-0⨯2.344%=0.0075m 左B
2
=0.0075+0.75⨯2.344%=0.025m
C=0.025+（3.500+0）⨯2.344%=0.108m
右B
2=0.108+3.500⨯2.344%=0.189m 右B
1
=0.189—0.75⨯2.344%=0.171m
桩号K0+720:
b
x =0 m 左
2
i=1.704%，
1
i=1.704% 右
2
i=-2%，
1
i=-2%
左B
1=0.0075-0⨯1.704%=0.0075m 左B
2
=0.0075+0.75⨯1.704%=0.202m
C=0.202+（3.500+0）⨯1.704%=0.080m
右B
2=0.080+3.500⨯2%=0.140m 右B
1
=0. 14—0.75⨯2%=0.126m
桩号K0+740：
b
x =0.000m 左
2
i=0.668%，
1
i=0.668% 右
2
i=-2%，
1
i=-2%
左B
1=0.0075 左B
2
=0.0075+0.75⨯0.668%=0.0125m
C=0.0125+3.5⨯0.668%=0.0358m
右B
2=0.0358+3.500⨯2%=0.059m 右B
1
=0.059—0.75⨯3%=0.054m
桩号K0+760：
b
x =0.000m 左
2
i=0.367%，
1
i=0.367% 右
2
i=-2%，
1
i=-2%
左B
1=0.0075 左B
2
=0.0075+0.75⨯0.367%=0.0102m
C=0.0102+3.5⨯0.367%=0.023m
右B
2=0.23+3.500⨯2%=0.036m 右B
1
=0.036—0.75⨯0.367%=0.023m
桩号K0+780：
b
x =0.000m 左
2
i=1.403%，
1
i=1.403% 右
2
i=-2%，
1
i=-2%
左B
1=0.0075 左B
2
=0.0075+0.75⨯1.403%=0.018m
C=0.018+3.5⨯1.403%=0.0067m
右B
2=0.067+3.500⨯2%=0.137m 右B
1
=0.115—0.75⨯2%=0.122m
桩号K0+791.526至K1+103.361为直线段，无旋转轴高差，在该段上各点超高值相等左侧：B1= 0 B2=0.75⨯3%=0.023m
中桩：C=0.023+（3.500+0）⨯2%=0.093m
右侧：B1=0 B2=0.023
JD2
桩号K1+103.261至桩号K1+153.361为缓和曲线段，所以：
桩号K1+103.361：
左2i =2%，1i =2% 右2i =-2%，1i =-2%
左B 1=0.0075 左B 2=0.0075+0.75⨯2%=0.023m
C=0.023+3.500⨯2%=0.093m
右B 2=0.093+3.500⨯2%=0.163m 右B 1=0.163—0.75⨯2%=0.148m
桩号K1+120：
b x =0.499m 左2i =-1.542%，1i =-1.542% 右2i =2%，1i =2%
左B 1=0.0075-1.542%⨯0.499=0.007 左B 2=0.007+0.75⨯1.403%=0.018m
C=0.018+(3.5+0.499)⨯1.542%=0.008m
右B 2=0.08+3.500⨯2%=0.15m 右B 1=0.15—0.75⨯2%=0.135m
桩号K1+140：
b x =1.099m 左2i =-3.716%，1i =-3.716% 右2i =3.716%，1i =3.716%
左B 1=0.0075-3.716%⨯1.099=0.0034 左B 2=0.0034+0.75⨯3.716%=0.031m
C=0.031+(3.5+1.099)⨯3.716%=0.200m
右B 2=0.200+3.500⨯3.716%=0.33m 右B 1=0.33—0.75⨯3.716%=0.304m
桩号K1+180：
b x =1.5m 左2i =-5%，1i =-5% 右2i =5%，1i =5%
左B 1=0.0075-5%⨯1.5=-0.0675 左B 2=-0.0675+0.75⨯5%=-0.03m
C=-0.03+(3.5+1.5)⨯5%=0.22m
右B 2=0.22+3.500⨯5%=0.39m 右B 1=0.39—0.75⨯5%=0.358m
桩号K1+153.361至桩号K1+209.263为圆曲线段，采取等加宽，其各值与桩号K1+180处相等
桩号K1+209.263至桩号K1+259.263为缓和曲线段，所以：
桩号K1+220：
b x =1.178m 左2i =-3.968%，1i =-3.968% 右2i =3.968%，1i =3.968%
左B 1=0.0075-3.968%⨯1.178=-0.0392 左B 2=-0.0392+0.75⨯3.968%=-0.0098m C=-0.0098+(3.5+1.178)⨯5%=0.176m
右B 2=0.176+3.500⨯3.968%=0.32m 右B 1=0.32—0.75⨯5%=0.285m
桩号K1+240：
b
x =0.578m 左
2
i=-2.045%，
1
i=-2.045% 右
2
i=2.045%，
1
i=2.045%
左B
1
=0.0075-2.045%⨯0.578=-0.004 左B2=-0.004+0.75⨯2.045%=0.0011m C=0.0011+(3.5+0.578)⨯2.045%=0.094m
右B
2=0.094+3.500⨯2.045%=0.166m 右B
1
=0.166—0.75⨯2.045%=0.15
桩号K1+259.293至K1+495.463为直线段，无旋转轴高差，在该段上各点超高值相等左侧：B1= 0 B2=0.75⨯3%=0.023m
中桩：C=0.023+（3.500+0）⨯2%=0.093m
右侧：B1=0 B2=0.023
JD3
桩号K1+495.463：
b
x =0m 左
2
i=-2%，
1
i=-2% 右
2
i=-2%，
1
i=-2%
左B
1
=0.0075-2%⨯0=0.0075 左B2=0.0075+0.75⨯2%=0.023m C=0.023+(3.5+0)⨯2%=0.073m
右B
2=0.073+3.500⨯2%=0.143m 右B
1
=0.143—0.75⨯2%=0.123
桩号K1+500：
b
x =0.136m 左
2
i=-1.034%，
1
i=-1.034% 右
2
i=-2%，
1
i=-2%
左B
1
=0.0075-2%⨯0.136=-0.005 左B2=-0.005+0.75⨯2%=0.02m C=0.02+(3.5+0.136)⨯2%=0.093m
右B
2=0.093+3.500⨯1.043%=0.13m 右B
1
=0.13—0.75⨯1.043%=0.12
桩号K1+520：
b
x =0.736m 左
2
i=2.552%，
1
i=2.552% 右
2
i=-2.552%，
1
i=-2.552%
左B
1
=0.0075-2.552%⨯0.736=-0.011 左B2=-0.0011+0.75⨯2.552%=0.008m C=0.008+(3.5+0.736)⨯2.552%=0.12m
右B
2=0.12+3.500⨯2.552%=0.2m 右B
1
=0.2—0.75⨯2.552%=0.185
桩号K1+540：
b
x =1.336m 左
2
i=4.475%，
1
i=4.475% 右
2
i=-4.475%，
1
i=-4.475%
左B
1
=0.0075-4.475%⨯1.336=-0.052 左B2=-0.052+0.75⨯4.475%=0.02m C=0.02+(3.5+1.336)⨯4.475%=0.234m
右B
2=0.234+3.500⨯4.475%=0.39m 右B
1
=0.39—0.75⨯4.475%=0.36
桩号K1+545.463：
b
x =1.5m 左
2
i=5%，
1
i=5% 右
2
i=-5%，
1
i=-5%
左B
1
=0.0075-5%⨯1.5=-0.068 左B2=-0.068+0.75⨯5%=-0.03m C=-0.03+(3.5+1.5)⨯5%=0.22m
右B
2=0.22+3.500⨯5%=0.39m 右B
1
=0.39—0.75⨯5%=0.35
桩号K1+545.436至桩号K1+579.875为圆曲线段，采取等加宽，其各值与桩号K1+545.463处相等桩号K1+600：
b
x =1.436m 左
2
i=4.796%，
1
i=4.796% 右
2
i=-4.796%，
1
i=-4.796%
左B
1
=0.0075-4.796%⨯1.436=-0.061 左B2=-0.061+0.75⨯4.796%=-0.025m C=-0.025+(3.5+1.5)⨯4.796%=0.212m
右B
2=0.212+3.500⨯4.796%=0.38m 右B
1
=0.39—0.75⨯5%=0.344
桩号K1+620：
b
x =0.836m 左
2
i=2.873%，
1
i=2.873% 右
2
i=-2.873%，
1
i=-2.873%
左B
1
=0.0075-2.873%⨯0.836=-0.016 左B2=-0.016+0.75⨯2.873%=0.005m C=0.005+(3.5+0.836)⨯2.873%=0.13m
右B
2=0.13+3.500⨯2.873%=0.23m 右B
1
=0.23—0.75⨯2.873%=0.208m
桩号K1+640：
b
x =0.236m 左
2
i=-0.324%，
1
i=-0.324% 右
2
i=-2%，
1
i=-2%
左B
1
=0.0075-2%⨯0.236=0.0028 左B2=0.0028+0.75⨯2%=0.018m C=0.018+(3.5+0.236)⨯2%=0.093m
右B
2=0.093+3.500⨯0.324%=0.104m 右B
1
=0.104—0.75⨯0.324%=0.102m
桩号K1+647.875：
b
x =0 m 左
2
i=-2%，
1
i=-2% 右
2
i=-2%，
1
i=-2%
左B
1=0.0075 左B
2
=0.0075+0.75⨯2%=0.023m
C=0.023+(3.5+0)⨯2%=0.093m
右B
2=0.093+3.500⨯2%=0.163m 右B
1
=0.163—0.75⨯0.2%=0.148m
桩号K1+647.875至桩号K2+192.66之间为直线段，无旋转轴高差，无加宽。

左侧：B1= 0 B2=0.75⨯3%=0.023m
中桩：C=0.023+（3.500+0）⨯2%=0.093m
右侧：B1=0 B2=0.023
JD4半径为600大于不设超高最小半径600故可不设超高。