凸形、凹形竖曲线高程计算表

K4+924.508～K4+949.492m竖曲线范围内各点高程,,,,,,,,,,,,,,,,,,,,,

点号,计算桩号,曲线中点桩号,桩号差L,变坡点高程Hz,半径R,i1,i2,待计算点高程,备注,,,竖曲线,,,,,,,,,

1,4924.508,4937.000,-12.492,1610.661,500.000,-0.032,0.017967,1611.061,切点处,,,半径R,第一坡度i1,第一坡度i2,切线长T,外矢距E,外矢距E,,,,

2,4926.508,4937.000,-10.492,1610.661,500.000,-0.032,0.017967,1611.001,,,,500,-0.032,0.017967,12.49175,0.156043818,0.156043818,,,,

3,4928.508,4937.000,-8.492,1610.661,500.000,-0.032,0.017967,1610.949,,,,,,,,,,,,,

4,4930.508,4937.000,-6.492,1610.661,500.000,-0.032,0.017967,1610.905,,,验算的过程,,,,,,,,,,

5,4932.508,4937.000,-4.492,1610.661,500.000,-0.032,0.017967,1610.869,,,x,y=x2/2R,切线高程,待计算点高程验算,备注,,,,,,

6,4934.508,4937.000,-2.492,1610.661,500.000,-0.032,0.017967,1610.841,,,10.000,0.1,1610.740744,1610.840744,,,,,,,

8,4937.000,4937.000,0,1610.661,500.000,-0.032,0.017967,1610.817,变坡点,,12.492,0.156050064,1610.661,1610.81705,,,,,,,

9,4939.000,4937.000,2,1610.661,500.000,-0.032,0.017967,1610.807,,,14.492,0.210018064,1610.597,1610.807018,,,,,,,

10,4940.000,4937.000,3,1610.661,500.000,-0.032,0.017967,1610.805,与图纸对应,,15.492,0.240002064,1610.565,1610.805002,与图纸对应,,,,,,

11,4942.000,4937.000,5,1610.661,500.000,-0.032,0.017967,1610.807,,,17.492,0.305970064,1610.501,1610.80697,,,,,,,

12,4944.000,4937.000,7,1610.661,500.000,-0.032,0.017967,1610.817,,,19.492,0.379938064,1610.437,1610.816938,,,,,,,

13,4949.492,4937.000,12.492,1610.661,500.000,-0.032,0.017967,1610.885,切点处,,24.984,0.624200256,1610.261256,1610.885456,,,,,,,

,,,,,,,i1-i2,-0.050,凹曲线,,,,,,,,,,,,

K4+956.469～K4+977.531m竖曲线范围内各点高程凸形竖曲线,,,,,,,,,,,,,,,,,,,,,

点号,计算桩号,曲线中点桩号,桩号差L,变坡点高程Hz,半径R,i1,i2,待计算点高程,备注,,x,y=x2/2R,切线高程,待计算点高程验算,备注,,x,y=x2/2R,切线高程,待计算点高程验算,备注

1,4956.469,4967.000,-10.531,1611.200,600.000,0.017967,-0.017137,1611.011,切点处,,0,0,1611.01079,1611.01079,切点,,0,0,1611.01079,1611.01079,切点

2,4958.469,4967.000,-8.531,1611.200,600.000,0.017967,-0.017137,1611.043,,,2,0.003333333,1611.046724,1611.04339,,,2,0.003333333,1611.046724,1611.04339,

3,4960.469,4967.000,-6.531,1611.200,600.000,0.017967,-0.017137,1611.069,,,4,0.013333333,1611.082658,1611.069324,,,4,0.013333333,1611.082658,1611.069324,

4,4962.469,4967.000,-4.531,1611.200,600.000,0.017967,-0.017137,1611.089,,,6,0.03,1611.118592,1611.088592,,,6,0.03,1611.118592,1611.088592,

5,4964.469,4967.000,-2.531,1611.200,600.000,0.017967,-0.017137,1611.101,,,8,0.053333333,1611.154526,1611.101192,,,8,0.053333333,1611.154526,1611.101192,

6,4966.469,4967.000,-0.531,1611.200,600.000,0.017967,-0.017137,1611.107,,,10,0.083333333,1611.19046,1611.107126,,,10,0.083333333,1611.19046,1611.107126,

7,4967.000,4967.000,0,1611.200,600.000,0.017967,-0.017137,1611.108,变坡点,,10.531,0.092418301,1611.2,1611.107582,变坡点,,10.531,0.092418301,1611.2,1611.107582,变坡点

8,4968.469,4967.000,1.469,1611.200,600.000,0.017967,-0.017137,1611.106,,,12.000,0.12,1611.226394,1611.106394,,,12.000,0.12,1611.226394,1611.106394,

9,4970.469,4967.000,3.469,1611.200,600.000,0.017967,-0.017137,1611.099,,,14.000,0.163333333,1611.262328,1611.098994,,,14.000,0.163333333,1611.262328,1611.098994,

10,4972.469,4967.000,5.469,1611.200,600.000,0.017967,-0.017137,1611.085,,,16.000,0.213333333,1611.298262,1611.084928,,,16.000,0.213333333,1611.298262,1611.084928,

11,4974.469,4967.000,7.469,1611.200,600.000,0.017967,-0.017137,1611.064,,,18.000,0.27,1611.334196,1611.064196,,,18.000,0.27,1611.334196,1611.064196,

12,4977.213,4967.000,10.213,1611.200,600.000,0.017967,-0.017137,1611.025,,,20.744,0.358594613,1611.383497,1611.024902,,,20.744,0.358594613,1611.383497,1611.024902,

13,4977.531,4967.000,10.531,1611.200,600.000,0.017967,-0.017137,1611.020,切点处,,21.062,0.369673203,1611.38921,1611.019537,,,21.062,0.369673203,1611.38921,1611.019537,

,,,,,,,i1-i2,0.035,凸曲线,,,"注：《路桥施工计算手册》36/825,竖曲线上设计高程=切线高程±纵距y。",,,,,,,,,

,,,,,,,,,,,,,,,,,,,,,,

,,,,,,,,,,,,+,凹形竖曲线取正号,,,,,,,,

,,,,,,,,,,,,-,凸形竖曲线取负号,,,,,,,,

,竖曲线,,,,,,,,,,,,,,,,,,,,

,半径R,第一坡度i1,第一坡度i2,切线长T,外矢距E,外矢距E,ω=i1-i2,竖曲线线形,,,,,,,,,,,,,

,600,0.017967,-0.017137,-10.5312,0.092421811,0.092421811,0.035104,凸形,,,,,,,,,,,,,

,2500,-0.018,-0.032,-17.5,0.06125,0.06125,0.014,凸形,,,,,,,,,,,,,

,2000,0.02,0.05,30,0.225,0.225,-0.03,凹形,,,,,,,,,,,,,

,2000,0.05,-0.03,-80,1.6,1.6,0.08,凸形,,,,,,,,,,,,,

,4000,0.01,-0.015,-50,0.3125,0.3125,0.025,凸形,,,,,,,,,,,,,

,3000,0.011,-0.023,-51,0.4335,0.4335,0.034,凸形,,,,,,,,,,,,,

点号,计算桩号,曲线中点桩号,桩号差L,变坡点高程Hz,半径R,i1,i2,待计算点高程,备注,,x,y=x2/2R,切线高程,待计算点高程验算,备注,,,,,,

1,10150.000,10200.000,-50,7.200,4000.000,0.01,-0.015,6.700,切点处,,0,0,6.7,6.7,切点,,,,,,

2,10175.000,10200.000,-25,7.200,4000.000,0.01,-0.015,6.872,,,25,0.078125,6.95,6.871875,,,,,,,

3,10200.000,10200.000,0,7.200,4000.000,0.01,-0.015,6.888,,,50,0.3125,7.2,6.8875,,,,,,,

4,10225.000,10200.000,25,7.200,4000.000,0.01,-0.015,6.747,,,75,0.703125,7.45,6.746875,,,