A single-lane racetrack is being constructed with a 150 mph design speed. A curve on this track has a radius of 4500 ft, central angle of 30 degrees, and a PI located at station 150+40. If the coefficient of side friction is 0.3, what superelevation is required for safe vehicle travel at the design speed? Also, determine the length of the curve and station of the PC and PT.
A single-lane racetrack is being constructed with a 150 mph design speed. A curve on this track has a radius of 4500 ft, central angle of 30 degrees, and a PI located at station 150+40. If the coefficient of side friction is 0.3, what superelevation is required for safe vehicle travel at the design speed? Also, determine the length of the curve and station of the PC and PT.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A single-lane racetrack is being constructed with a 150 mph design speed. A curve on this
track has a radius of 4500 ft, central angle of 30 degrees, and a PI located at station 150+40.
If the coefficient of side friction is 0.3, what superelevation is required for safe vehicle travel
at the design speed? Also, determine the length of the curve and station of the PC and PT.
Example Below:
A single-lane racetrack is being constructed with a 170 mph design speed. A curve on this
track has a radius of 4600 ft, central angle of 30 degrees, and a PI located at station 1100-50.
If the coefficient of side friction is 0.32, what superelevation is required for safe vehicle
travel at the design speed? Also, determine the degree of curvature, length of the curve and
station of the PC and PT.
Single lane
V = 170mph = 249.3fps
R = 4600ft; A= 30⁰;
PI = 1100 + 50; f = 0.32
Single lane Ry = R
V²
€
8(fs + 100)
Ry= R=-
T= Rx tan
→ 4600 =
e = 10
A
30
2x tan= =4600 x tan = 1232.6ft
PI = PC +T PC (1100+50)-(12+ 32.6)
PC = 1088 +17.4
D=
249.3²
32.2 (0.32 + 100)
17
L= -RA=
180
(4600)(30) = 2408.6ft
180
PT = PC + L = (1088 +17.4)+(24+08.6) 1112+26
18000 18000
#R
x(4600)
=
= 1.24°
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