The elevation of Sta 10+00 on a 2.5% grade line is 204.00 feet (ft) and the elevation of Sta 20+00 on a 3% line is 200.00 ft. What is the station at which the two grade lines intersect?

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Quizplus · Accepted Answer

The two grade lines intersect at Sta 16+00. Solution: Use Asymmetrical Vertical Curve properties to solve for Point of Intersection (PI) Given G₁ = 2.5 G₂ = 3 Step 1: Calculate elevation difference between the points 204.00 ft - 200.00 ft = 4.0 ft Step 2: Use grade lines to show the elevation distance and solve for location of PI G₁ x- G₂ (separation - x) = -elevation distance 2.5 x - (3) (10 - x) = -4.0 ft à 2.5 x - 30 + 4 x = -4 à 6.5 x = 26 x = 4 Sta point of intersection = 10+00 + 4+00= 16+00

The Elevation of Sta 10+00 on a 2