Problem 1 A horizontal curve on a two-lane highway (11 ft lanes) has a central angle of 33 degrees and is designed for 60 mi/h with a 8 % superelevation. a) If the PI is at station 300+00, what is the station of the PT and how many feet have to be cleared from the inside lane's lane-shoulder edge to provide adequate stopping sight distance? b) If the normal component of centripetal force was considered, how much shorter would the radius of the curve be? Problem 2 For a horizontal curve design in an urban area, with a design speed of 40 mph, an 8-ft shoulder, and two 12-ft lanes in each direction, find the length of the curve considering a central angle of 60 degrees. Problem 3 A crest and sag curve connect a 0% road segment with a 2% road segment (see figure below). The two curves connect with each other (PVT = PVCs) and share a 3% common grade. If the design speed of the curves is 45 mi/h, what is the elevation difference between the two road segments? 09 ? -3% 2% Problem 4 An equal-tangent vertical curve connects a +1% and +3% initial and final grades, respectively, and is designed for 70 mi/h. The high point on the curve is at elevation 822 ft. If the PVC is at station 110+00, what is the elevation of the curve at station 112+12?