Question 1
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At a location with an external angle (DELTA) of 30 degrees a curve of radius 1000 ft is used along with a spiral transition curve with kvalue of 3 degrees per 100 feet.
Calculate the length of each curve segment.
Describe the reasons for using a spiral curve.
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Question 2
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For each of the three vertical curves shown below, calculate the following:

K and r

station of BVC and EVC

elevation of point at a distance, L/4, from BVC and EVC

station of turning point

elevation of turning point

elevation of midpoint of each curve
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Curve 1
G1 = +2%, G2 = +3%
Elevation of PI = 152.50 feet
Stat. of BVC = 120+00
Stat. of EVC = 125+50
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Curve 2
G1 = 2%, G2 = +4%
Elevation of BVC = 55.50 feet
Stat. of BVC = 10+00
Stat. of EVC = 18+50
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Curve 1
G1 = +2%, G2 = 2.5%
Elevation of EVC = 15.00 feet
Stat. of BVC = 60+00
Stat. of PI = 72+50