Answer:
To find the elevation of station 337+00 on the vertical curve, we can follow these steps:
1. Calculate the elevation of PVC (point of vertical curvature):
Elevation of PVC = Elevation of BVC + (Length of curve / 2) x (Gradient at BVC + Gradient at EVC)
Gradient at BVC = -29%
Gradient at EVC = +3%
Length of curve = 2435 ft
Elevation of PVC = 217.5 + (2435/2) x (-0.29+0.03)
Elevation of PVC = 217.5 + 297.925
Elevation of PVC = 515.425 ft
2. Calculate the elevation of PVI (point of vertical intersection):
Elevation of PVI = Elevation of PVC - (length of PVC to PVI) x (Gradient at PVC)
length of PVC to PVI = (Length of curve / 2) x (1 - (HV / (Length of curve / 2)))
HV = Difference in elevations between PVC and PVI = Elevation of PVC - Elevation of BVC
HV = 515.425 - 217.5 = 297.925 ft
length of PVC to PVI = (2435/2) x (1 - (297.925 / (2435/2)))
length of PVC to PVI = 595.85 ft
Gradient at PVC = ((Elevation of PVC - Elevation of BVC) / (length of curve / 2)) x 100%
Gradient at PVC = ((515.425 - 217.5) / (2435/2)) x 100%
Gradient at PVC = -14.25%
Elevation of PVI = 515.425 - (595.85 x (-0.1425))
Elevation of PVI = 598.54 ft
3. Calculate the elevation of EVC (end of vertical curve):
Elevation of EVC = Elevation of PVI + (Length of curve / 2) x (Gradient at PVI + Gradient at EVC)
Gradient at EVC = +3%
Elevation of EVC = 598.54 + (2435/2) x (-0.1425+0.03)
Elevation of EVC = 598.54 + 312.03125
Elevation of EVC = 910.57 ft
4. Calculate the elevation at station 337+00
Step-by-step explanation: