Question

24. Given the following information for a vertical curve joining +3% and −29; grades, the station and elevation of BVC was 334+66,217,5ft respectively find the elevation of station 337+00, length of eurve 2435f a) 232.96ft b) 224.52n c) 223.96ft d) 242,52n

Answer 1

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: