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带缓和曲线的曲线正矢计算表

来源:华佗小知识
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αZ=8°34′57″

BJDY10

正矢测量点间距(m)

10

计算正矢曲线半径(m)

1200.718F2至HZ点距离(m) b

4.932Fn点正矢

39.2

缓和曲线长Ls(m)

120090

计算正矢缓和曲缓和曲线增线长(m)长量之半

90.02828

F1至HZ点距离Az直线一侧(m) a正矢系数

5.0680.020圆曲线半径R(m)Fn+1点正矢

41.5

ZH点里程80.976+480.97

曲线总长L(m)269.753

圆曲线增长量(mm)之半

圆曲线长Lc(m)

.753

曲线总增长量(mm)

56112

Ah-1缓和曲线一

Fn至HY点距离(m) b

侧正矢系数

0.5155.096HY点里程为

6570.976+570.97

QZ里程为

6615.847

6+615.847

BJDY10曲线正矢及超高表20m弦长

测点0F1FZH2F3F4F5F6F7F8F9F10F11F12F13F14F15F16F17F18F19F20F21F22F23F24F里程正 矢(mm)0.1超高(mm)0.00.06.619.933.246.659.973.286.599.9NOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOON备注距ZH点距离为5.068m距ZH点距离为4.932m6+480.972.46.911.516.220.825.430.034.7NOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOON25F26F27F28F29F30F31F32F33F34FNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOON-4F-3F-2F-1F0F1F2F3F4F5F6F7F8F9F10F11F12F13F14F15F16F17F18F19F20F21F22F23F24FNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOON34.730.025.420.8NOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOON99.986.573.259.925F26F27F28FHZ29F16.211.56.92.46+750.7240.146.633.219.96.60.00.0距HZ点距离为4.932m距HZ点距离为5.068mBJDY10

αZ=8°34′57

″R=1200

l=90L=269.753

备注:本曲线超高由外股抬高来完成全部超高值.超高递减过渡在缓和曲

线范围内完成,超高对轨底坡的影响值为超高值的十分之一.

计算:

复核:

测点里程6+570.97正 矢(mm)超高(mm)10FHY11F19FYH20F39.241.541.56+660.72439.2备注113.2距HY点距离为5.096m120.0距HY点距离为4.904m120.0距YH点距离为4.904m113.2距YH点距离为5.096m轨距S1(mm)1508.000正矢递变率Fd

4.625

Fn+1至HY点距离(m) a

4.904

全超高(mm)曲线正矢Fy(mm)曲线之半长(m)

120.00041.6134.933计算正矢曲线

M0

长(m)

269.8659.0028

An缓和曲线一曲线一侧正矢系点n+1至HZ前一侧正矢系数数正矢测点距离

0.5100.49085.096

圆曲线内最后一

F2距缓和曲线内

HY点里程为HZ点里程个测点距离1F距

第一测点距离

离为

6660.7246750.72490180.000

缓和曲线内最后曲线上最后一个

6+660.7246+750.724一个测点距1F距测点距离1F点距

离离

90.000280.001

缓和曲线内倒数第二个测点至缓和曲线内第一个测点距离

70.000

测点12F13F14F15F(QZ)16F17F18F19F20F21F22F23F24F25F26F27F28F29F30F31F32F33F34F35F36F37FF1距缓和曲线内第二测点距离

110

里程正 矢(mm)超高(mm)备注0102030405060708090100110120130140150160170180190200210220

6+615.847123456710111213141516171819202122

41.1.1.1.1.1.1.6NOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOONNOON120.0120.0120.0120.0120.0120.0120.02302402502602702802903003103202338FNOONNOON2439FNOONNOON2540FNOONNOON21FNOONNOON2742FNOONNOON2843FNOONNOON2944FNOONNOON3045FNOONNOON3146FNOONNOON32

47FNOONNOON48FNOONNOON49FNOONNOON50FNOONNOON51FNOONNOON52FNOONNOON53FNOONNOON54FNOONNOON55FNOONNOON3256FNOONNOON3157FNOONNOON3058FNOONNOON2959FNOONNOON2860FNOONNOON2761FNOONNOON2662FNOONNOON2563FNOONNOON24FNOONNOON2365FNOONNOON2266FNOONNOON2167FNOONNOON2068FNOONNOON1969FNOONNOON1870FNOONNOON1771FNOONNOON1672FNOONNOON1573FNOONNOON1474FNOONNOON1375FNOONNOON1276FNOONNOON1177FNOONNOON1078FNOONNOON979FNOONNOON880FNOONNOON781FNOONNOON682FNOONNOON583FNOONNOON4

84FNOONNOON321

85FNOONNOON86FNOONNOON87FNOONNOON88FNOONNOONFNOONNOON90FNOONNOON91FNOONNOON92FNOONNOON93FNOONNOON94FNOONNOON95FNOONNOON100110120130140150160170180190200210220230240250260270280290300310320330340350

YH点至缓和曲线内第一个测点距离1.905

12345671011121314151617181920212223242526

3603703803904004104204304404504604704804905005105205305405505605705805906006106206300650660670680690700710720730740750760770780790800810820272829303132333435363738394041424344454748495051525354555657585960616263656667686970717273

83084085086087088009009109209309409509609709809901000101010201030104010501060107010801090110011101120

7475767778798081828384858687809192939495969799100101102103104105106

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