平曲线计算

平曲线计算
平曲线计算

平面设计计算书

该路为双车道二级公路,设计车速V=80km/h ,一般规定直线的最大直线长度不超过20V (1600m )且同向曲线夹直线长度不小于6V (480m ),反向曲线夹直线长度不小于2V (160m ),汽车在任何一段线形上的行驶时间不短于3s (即长度为67m ),本段公路的平曲线间的直线段最小长度为551.016m 。圆曲:线极限最小半径250m ,一般最小半径400m ,不设超高最小半径(路拱≤2%为2500m 路拱>2%为3350m ),最大半径不超过10000m ,本段公路的最小半径为435m ,最大半径为1350m ,其中包含一个S 型曲线。缓和曲线最小长度一般值为100m 最小值为70m ,不设缓和曲线的最小圆曲线的半径为2000m ,该段公路都需设置缓和曲线且最小缓和曲线长度为70m 。平面曲线最小长度一般值为700m 最小值为140m ,本段公路的最小曲线长度为316.97m ,最大曲线长度为428.995m 。公路转角α≤07时的平曲线最小长度一般值为1000/αm 低限值为140m ,本段公路最小转角为15.2362度。

JD1(K2+961.802)缓和曲线要素计算: (R=1100,Ls=80,α=15.6074)

q =32

2240s s

L L R - =39.998m p =243

242384s s

L L R R - =0.2424m 0β=s

28.6479

L R = 2.08348 p tan q 2T =+α

(R+)=190.785m

0180L =

π

(α-2β)R +2s L =379.641m E=(R+p)sec 2

R -α

=10.527m

2J T L =-=1.929

JD2(K4+843.269)缓和曲线要素计算: (R=1350,Ls=70,α=15.2362)

q =32

2240s s

L L R - =34.999m

p =243242384s s

L L R R - =0.15123m 0β=s

28.6479

L R =1.48545 p tan q 2T =

(R+)=215.582m 0180L =

π

(α-2β)R +2s L =428.994m E=(R+p)sec 2

R -α

=12.174m

2J T L =-=2.17

JD3(K5+217.695)缓和曲线要素计算: (R=435,Ls=100,α=28.5780)

q =32

2240s s

L L R

- =49.978m p =243

242384s s

L L R R

- =0.957345m 0β=s

28.6479

L R =6.5857 p tan q 2T =

(R+)=161.013m 0180L =π

(α-2β)R +2s L =316.9697m E=(R+p)sec 2

R -α

=14.875m

2J T L =-=5.056

JD1的曲线的主点里程计算:

H ZH JD T =-=K2+961.802-190.786=K2+771.016 s HY ZH l =+=K2+771.016+80=K2+851.016

Y YH HY L =+= K2+851.016+219.641=K3+70.657 s HZ YH l =+= K3+70.657+80=K3+150.657

2H

L QZ HZ =-

= K3+150.657-379.641/2=K2+960.836 2

H D

JD QZ =+= K2+960.836+1.929/2=K2+961.801

JD2的曲线的主点里程计算:

H ZH JD T =-=K4+843.269-215.582=K4+627.687 s HY ZH l =+=K4+627.687+70=K4+697.687

Y YH HY L =+= K4+697.687+288.995=K4+986.682 s HZ YH l =+= K4+986.682+70=K5+056.682

2H

L QZ HZ =-

= K5+056.682-428.994/2=K4+842.185 2

H D

JD QZ =+= K4+842.158+2.17/2=K4+843.27

JD3的曲线的主点里程计算:

H ZH JD T =-=K5+217.695-161.013=K5+056.682 s HY ZH l =+=K5+056.682+100=K5+156.682

Y YH HY L =+= K5+156.682+116.97=K5+273.652 s HZ YH l =+= K5+273.652+100=K5+373.652

2H

L QZ HZ =-

= K5+373.652-316.9697/2=K5+215.167 2

H D

JD QZ =+= K5+215.167+5.056/2=K5+217.695

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