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A vertical curve has g1 = -3% and g2 = +6 for a vertical curve length of 1200 ft. How far is the low point located from the PVC? a. 400 ft b. 500 ft c. 666.67 ft d. 333.33 ft

Question

A vertical curve has g1 = -3% and g2 = +6 for a vertical curve length of 1200 ft. How far is the low point located from the PVC? a. 400 ft b. 500 ft c. 666.67 ft d. 333.33 ft

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Solution

The low point of a vertical curve is located at the point where the curve changes from descending to ascending. This is calculated using the formula:

L = Length of the vertical curve g1 = initial grade g2 = final grade

The distance from the Point of Vertical Curvature (PVC) to the low point is given by the formula:

d = L * |g1| / (|g1| + |g2|)

Substituting the given values:

d = 1200 * |-3| / (|-3| + |6|) d = 1200 * 3 / (3 + 6) d = 1200 * 3 / 9 d = 400 ft

So, the low point is 400 ft from the PVC. Therefore, the answer is (a) 400 ft.

This problem has been solved

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