Radial staking of curve points by coordinates from a control station
Curve stations are converted to coordinates through the PC and the back tangent, then inversed to a control point to give the angle and distance a total station needs for radial layout.
Analyze· about 30 minutes by hand· 5 steps
Given
A simple circular curve to the right with R = 1000.00 ft and Δ = 32°00′00″.
Station of the PC = 26+65.40, with coordinates N 5412.66, E 7338.02.
Azimuth of the back tangent at the PC = 74°12′30″, running ahead toward the PI.
Control station CP-9 at N 5150.00, E 7600.00, with a reference mark CP-8 at N 5050.00, E 7180.00.
Stakes are wanted at every full station and at the PT, set radially from CP-9 with a backsight on CP-8.
Coordinates are in US survey feet; azimuths are clockwise from north.
Required
The station of the PT.
Coordinates of every full station on the curve and of the PT.
The distance and the angle right from CP-8 that will set each of those points from CP-9.
Work it through yourself before reading on - the solution below shows every step, so there is no way to skim it without giving the answer away.
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