Problem Solving. Engineering Math Problem Assignment (Math Problem Sample)

Given:
Design speed = 80 km/h
Terrain is typically clay with some localised sandstone
Horizontal curve radii: Curve 1 (chainage 60 to 200) 260 metres; Curve 2 (chainage 420 to 600) 240 metres; Curve 3 (chainage 870 to 1100) 230 metres
Drainage structures: Chainage 90 - 1 x 900 mm diameter pipe; Chainage 562 - 2 x 1200 mm diameter pipes; Chainage 1000 - 1 x 900 mm diameter pipe
Maximum depth of fill = 6.5 metres
Maximum depth of cut = 5 metres
Minimum cover over drainage pipes = 1.25 metres
Pavement width = 7.0 m (2 x 3.5 m lanes) with shoulder width = 1.5 m.
Verge has 1m in fill (allowing for safety barrier) and 2.0 m in cut (includes table drain)
Table drain 2.0 m wide, 1:4 slope
Batter slopes 1:1 in cut
Embankment = 2 (h): 1 (v)
Maximum grade = 7% and Minimum grade = 1%
Maximum superelevation = 7% and Minimum superelevation = 3%
Crossfall on straights 3%
Problem:
1. Horizontal Design
a. Design the superelevation required for the three horizontal curves.