凸形、凹形竖曲线高程计算表

点号计算桩号4924.5084926.5084928.5084930.5084932.5084934.5084937.0004939.0004940.0004942.0004944.0004949.492曲线中点桩 号4937.0004937.0004937.0004937.0004937.0004937.0004937.0004937.0004937.0004937.0004937.0004937.000桩号差L-12.492-10.492-8.492-6.492-4.492-2.4920235712.492变坡点高程Hz1610.6611610.6611610.6611610.6611610.6611610.6611610.6611610.6611610.6611610.6611610.6611610.661半 径R500.000500.000500.000500.000500.000500.000500.000500.000500.000500.000500.000500.000i1-0.032-0.032-0.032-0.032-0.032-0.032-0.032-0.032-0.032-0.032-0.032-0.032i20.0179670.0179670.0179670.0179670.0179670.0179670.0179670.0179670.0179670.0179670.0179670.017967i1-i2待计算点高程1611.0611611.0011610.9491610.9051610.8691610.8411610.8171610.8071610.8051610.8071610.8171610.885-0.050切点处凹曲线与图纸对应备 注切点处1234568910111213变坡点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4956.4694958.4694960.4694962.4694964.4694966.4694967.0004968.4694970.4694972.469曲线中点桩 号4967.0004967.0004967.0004967.0004967.0004967.0004967.0004967.0004967.0004967.000桩号差L-10.531-8.531-6.531-4.531-2.531-0.53101.4693.4695.469变坡点高程Hz1611.2001611.2001611.2001611.2001611.2001611.2001611.2001611.2001611.2001611.200半 径R600.000600.000600.000600.000600.000600.000600.000600.000600.000600.000i10.0179670.0179670.0179670.0179670.0179670.0179670.0179670.0179670.0179670.017967i2-0.017137-0.017137-0.017137-0.017137-0.017137-0.017137-0.017137-0.017137-0.017137-0.017137待计算点高程1611.0111611.0431611.0691611.0891611.1011611.1071611.1081611.1061611.0991611.085变坡点备 注切点处123456789101112134974.4694977.2134977.5314967.0004967.0004967.0007.46910.21310.5311611.2001611.2001611.200600.000600.000600.0000.0179670.0179670.017967-0.017137-0.017137-0.017137i1-i21611.0641611.0251611.0200.035切点处凸曲线竖曲线半径R60025002000200040003000第一坡度i1第一坡度i2切线长T外矢距E外矢距Eω=i1-i20.0351040.014-0.030.080.0250.034竖曲线线形凸形凸形凹形凸形凸形凸形0.017967-0.017137-10.5312-0.0180.020.050.010.011-0.0320.05-0.03-0.015-0.023-17.530-80-50-510.092421810.09242180.061250.2251.60.31250.43350.061250.2251.60.31250.4335点号计算桩号10150.00010175.00010200.00010225.00010250.000曲线中点桩 号10200.00010200.00010200.00010200.00010200.000桩号差L-50-2502550变坡点高程Hz7.2007.2007.2007.2007.200半 径R4000.0004000.0004000.0004000.0004000.000i10.010.010.010.010.01i2-0.015-0.015-0.015-0.015-0.015待计算点高程6.7006.8726.8886.7476.450备 注切点处12345切点处竖曲线半径R500第一坡度i1-0.032第一坡度i20.017967切线长T外矢距E外矢距E

12.491750.156040.156044

验算的过程xy=x2/2R 切线高程 待计算点高程验 算备 注10.0000.11610.7407441610.84074412.4920.15605011610.6611610.8170514.4920.21001811610.5971610.80701815.4920.24000211610.5651610.805002与图纸对应17.4920.30597011610.5011610.8069719.4920.37993811610.4371610.81693824.9840.62420031610.2612561610.885456xy=x2/2R 切线高程 待计算点高程验 算备 注001611.010791611.01079切点20.00333331611.0467241611.0433940.01333331611.0826581611.06932460.031611.1185921611.08859280.05333331611.1545261611.101192100.08333331611.190461611.10712610.5310.09241831611.21611.107582变坡点12.0000.121611.2263941611.10639414.0000.16333331611.2623281611.09899416.0000.21333331611.2982621611.084928xy=x2/2R 切线高程 待计算点高程 验 算001611.010791611.0107920.003333331611.046721611.0433940.013333331611.082661611.06932460.031611.118591611.08859280.053333331611.154531611.101192100.083333331611.190461611.10712610.5310.09241831611.21611.10758212.0000.121611.226391611.10639414.0000.163333331611.262331611.09899416.0000.213333331611.298261611.08492818.0000.271611.3341961611.3834971611.389211611.0641961611.0249021611.01953718.00020.74421.0620.271611.33421611.0641961611.02490220.7440.358594621.0620.36967320.358594611611.38350.36967321611.389211611.019537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x0255075100y=x2/2R00.0781250.31250.7031251.25 切线高程6.76.957.27.457.7 待计算点高程验 算6.76.8718756.88756.7468756.45备 注切点备 注切点变坡点