Assignment Task: Horizontal and Vertical Curves
Setting out the centre line of a roadon an embankment
Calculation of the centerline co-ordinates (Easting, Northing and Reduced Level) from the given design parameters.
The centerline co-ordinates are to be set out at multiples of 10 meters of chainage, starting at Point A, Chainage 0.000m, including the tangent points, and continuing to Point B, Chainage 250.000m.The road will eventually continue, in a straight line, towards Point C. Point C does not need to be set out; however, its co-ordinates are to be used to enable you to undertake the calculations.
The design parameters are as follows: -
Point mE mN Chainage
A ? ? 0.000m
TP1 834.962 2900.218 18.000m
IP1 892.000 2929.400 N/A
TP2 ? ? ?
TP3 ? ? ?
IP2 1001.500 2909.750 N/A
TP4 ? ? ?
B ? ? 250.000m
C 1080.000 2968.250 ?
The radius for first curve is to be 190m; the radius for second curve is to be 100.000m.
The road has a rising gradient of 3%, starting at ch0.000m and a falling gradient of 2.5% starting at ch 130.000m. The vertical curve begins at ch60.000m and has a total length of 120.000m.
Designed Road Level at ch0.000m is to be 92.900m.
Crossfalls are as follows:
ch. 0.000m to ch.18m 0%
ch. 70.000m +2%
ch. 140.000m to ch.150.000m 0%
ch. 190.000m -2%
ch. 230.000m 0%
The rate of change of crossfall is to be proportional to the change in chainage.
A plus value for the crossfall indicates that, looking along the direction of increasing chainage, the left hand side of the road will be the higher.
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