Transportation Engineering
Problem 1
Determine the minimum length of a crest vertical curve if the grades are +4.0 % and   -4.00 %. Design speed is 70 mph. State assumptions used in solving this problem.
Problem 2
Determine the minimum length of a sag vertical curve if the grades are -2.5 % and +2.50 %. Design speed is 70 mph. State assumptions used. Consider the following criteria:
a) Stopping sight distance
b) Comfort
c) General appearance
Problem 3
A crest vertical curve connects a +4.44 % grade and a -6.87 % grade. The PVI is located at station 43 + 50.00 at an elevation of 1,240.00 feet. The design speed is 30 mph.
1. The length of the vertical curve using the AASHTO method (“K” factors) (1/8 pts.)
2. The station of the PVC/BVC
3. The station of the PVT/EVC
4. The station of the high point
5. The elevation of the PVC/BVC
6. The elevation of the PVT/EVC
7. The elevation of the high point
8. The elevation of station 44+ 23.23
Problem 4
Given the following design data
- Maximum Grade: ±10%
- Design Speed = 30 mph
- Assume e =0.08, and fs = 0.20
a) minimum radius of horizontal curvature
b) minimum length of crest vertical curves
c) minimum length of sag vertical curves
Problem 5
Describe the factors that must be taken into account in the design of bicycle paths.

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