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A vertical curve has g1 = -3% and g2 = +6 for a vertical curve length of 1200 ft. What is the elevation at the PVT if the PVI = 53.50? a. 89.50 ft b. 83.50 ft c. 56.50 ft d. 53.80 ft

Question

A vertical curve has g1 = -3% and g2 = +6 for a vertical curve length of 1200 ft. What is the elevation at the PVT if the PVI = 53.50? a. 89.50 ft b. 83.50 ft c. 56.50 ft d. 53.80 ft

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Solution

The elevation at the PVT (Point of Vertical Tangency) can be calculated using the formula:

Elevation at PVT = Elevation at PVI + (g1 * L/2)

Where:

  • g1 is the initial grade (-3% in this case, which is -0.03 as a decimal)
  • L is the length of the curve (1200 ft in this case)

So, substituting the given values into the formula:

Elevation at PVT = 53.50 + (-0.03 * 1200/2) = 53.50 - 18 = 35.50 ft

However, none of the options provided (a. 89.50 ft, b. 83.50 ft, c. 56.50 ft, d. 53.80 ft) match this result. There might be a mistake in the question or the provided options.

This problem has been solved

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