11 70
1 JD0 2 0 3 0 4 K0+000 5 JD1 219.48914 756.16889 K0+787.380 25°50′11.6″(Y) JD2 86.01817 1541.09643 K1+576.675 22°30′20.4″(Z) JD3 338.18466 2646.0778 K2+705.261 34°17′46.9″(Y) JD4 166.35026 3083.62304 K3+160.335 1.3.2平曲线要素计算
曲线计算
根据《路线设计规范》,当V=100km/h,μ≤0.05,i≤0.1取μ=0.01, i=0.08;
R?V2127?u?i??1002127?0.01?0.08??874.891或-1124.859m
取R=700m
根据《路线设计规范》,R/3≤A≤R 取A=418.33;
Ls左?Ls右Ls2A2R?Ls4418.33700?2?250.00m2502
25043p?Ls224RLs240R3?2688R2502?324?7002503?2688?700?3.72
q???240?700?124.87
JD0点K0+000坐标(0,0),JD4点K3+160.335坐标(166.350,3083.623)两点间纸上定线。
JD1点K0+787.380坐标(219.49,756.17)
12 70
()α1αα1/21()
图1-2 圆曲线的设计的线形大致如图
?—路线转角 Lh—曲线长(m) Th—切线长(m)
Eh—外矩(m) Jh—校正数(m) R—曲线半径(m) 转角α=25°50′11.6″; 切线长:
Th??R?p?tan?2?q??700?3.72??0.23?124.87?286.276m
缓和曲线角:
?0左??0右?Ls2R?0.180
曲线长:
Lh????2?0??180R?2Ls??R?180?Ls?25.84?700?3.14180?250?565.65m
外距:
Eh??R?p?sec??R??700?3.72??1.03?700?21.99m
切曲差:
Jh?2Th?Lh?2?286.276?565.65?7.02m
主点桩号计算:
直缓点:ZH=JD-Th=K0+787.380-286.276=K0+501.10
13 70
缓圆点:HY=ZH+
Ls=K0+501.10+250=K0+751.10
Ls圆缓点:YH=HY+(Lh-2缓直点:HZ=YH+
Ls)=HZ-
Ls=K0+751.10+(565.54-2x250)=K0+816.64
=ZH+Lh=K0+816.64+250=K1+066.64
565.542Lh曲中点:QZ=HZ-2=K1+066.64-Jh7.02=K0+783.87
交点:JD=QZ+2=K0+783.87+2导线长度计算:
LD=K0+787.38(校核)
=K0+787.380-K0+000=787.3797m
导线方位角的计算:
在设计时假设LD1的方位角为 73°48′49.9″,则,LD2的方位角为
?LD2??LD1???73?48'49.9''?25?50′11.6″?99?39′01.5″
JD2点K1+576.675坐标(86.02,1541.10) 转角α=22°30′20.4″; 切线长:
Th??R?p?tan?2?q??700?3.72??0.20?124.87?264.88m
缓和曲线角:
?0左??0右?Ls2R?0.180
曲线长:
Lh????2?0??180R?2Ls??R?180?Ls?22.51?700?3.14180?250?524.82m
外距:
Eh??R?p?sec??R??700?3.72??1.02?700?17.51m
切曲差:
Jh?2Th?Lh?2?286.276?524.82?4.94m
主点桩号计算:
14 70
直缓点:ZH=JD-Th=K1+576.675-286.276=K1+311.79 缓圆点:HY=ZH+
Ls=K1+311.79+250=K1+561.79
Ls圆缓点:YH=HY+(Lh-2缓直点:HZ=YH+
Ls)=HZ-
Ls=K1+561.79+(524.82-2x250)=K1+586.61
=ZH+Lh=K1+586.61+250=K1+836.61
524.822Lh曲中点:QZ=HZ-2=K1+836.61-Jh4.94=K1+574.20
交点:JD=QZ+2=K1+574.20+2=K1+576.675(校核) 导线长度计算:
LD=K1+576.675-K0+787.380=796.1945m
导线方位角的计算:
在设计时假设LD1的方位角为99°39′01.5″,则,LD2的方位角为
?LD2??LD1???99?39′01.5″?22?30′20.4″?77?08′41.1″
JD3点K2+705.261坐标(338.18,2646.08) 转角α=34°17′46.9″; 切线长:
Th??R?p?tan?2?q??700?3.72??0.30?124.87?342.01m
缓和曲线角:
?0左??0右?Ls2R?0.180
?180曲线长:
Lh????2?0??180R?2Ls??R?Ls?34.30?700?3.14180?250?668.80m
外距:
Eh??R?p?sec??R??700?3.72??1.05?700?36.45m
切曲差:
Jh?2Th?Lh?2?342.01?668.80?15.22m
15 70
主点桩号计算:
直缓点:ZH=JD-Th=K2+705.261-342.01=K2+363.25 缓圆点:HY=ZH+
Ls=K2+363.25+250=K2+613.25
Ls圆缓点:YH=HY+(Lh-2缓直点:HZ=YH+
Ls)=HZ-
Ls=K2+613.25+(668.80-2x250)=K2+782.05
=ZH+Lh=K2+782.05+250=K3+032.05
668.802Lh曲中点:QZ=HZ-2=K3+032.05-Jh15.212=K2+697.65
交点:JD=QZ+2=K2+697.65+导线长度计算:
LD=K2+705.261(校核)
=K2+705.261-K1+576.675=1133.3895m
导线方位角的计算:
在设计时假设LD1的方位角为77°08′41.1″,则,LD2的方位角为
?LD2??LD1???77?08′41.1″?34?17′46.9″?111?26′28″
1.3.3 中桩坐标计算
表1-8 中桩坐标表
交 点 坐 标 交点号 N (X) E (Y) 交点桩号 转 角 值 JD0 0 0 K0+000 JD1 219.48914 756.16889 K0+787.380 25°50′11.6″(Y) JD2 86.01817 1541.09643 K1+576.675 22°30′20.4″(Z)