An equal-tangent sag vertical curve on a section of a highway connects an initial grade of -2% and a final grade of +3.5% at station 25+00 and elevation 237 ft. The curve crosses an overpass at station 23+00. The base of the overpass structure is at elevation 259.4 ft and is 14 ft above the pavement surface of the highway. L Overpass Sta 23+00 El 259.4' EVC BVC 14' G1 =-2% G2 =-3.5% PVI Sta 25+00 El. 237' a) Determine the length of the vertical curve. b) Determine the design speed used to design the vertical curve. The length of the vertical curve longer than the stopping sight distance.

Two tangents in profile meet at a vertical point of intersection (VPI). The entrance tangent grade is +5%. The exit tangent grade is -3%. Point on Tangent 1 (POT1) is on the entrance grade. Point on Tangent 2 (POT2) is on the exit grade. An equal tangent vertical curve of 1000.00 ft has been designed to provide a smooth transition between them. Point Station Elevation ft POT1 61+00.00 4900.00 POT 2 242+00.00 4500.00 Elevation of the VPI = O 1) 4773.23 2) 5089.47 3) 4998.45 4) 4941.33 5) 4989.38 6) 5080.00 7) 5118.80 8) none 9) 5087.28 10) 5117.75

A +4.0% grade intersects a -3.0% percent grade at PVI Sta. 222+00 and Elevation 300.00 on a two-lane highway with a design speed of 45 mph. Assume AASHTO Standards. 1. Determine the minimum length for the curve that is designed to meet passing sight distance using K-value method 2. Determine the Station and Elevation of the PVC

Consider the same vertical curve from Problem 1 that has a +3.2% initial grade and -1.1% final grade. The point of vertical intersection is at station 98+20. The highest point of the curve is at station 100+79.35 to meet drainage design. What is the station of the point of vertical curvature (Also known as beginning of vertical curve). 92+88.95 92+90.81 92+88.05 (INCORRECT) 92+91.23 This is Question 1:  Consider a vertical curve with a +3/2% initial grade and -1.1% final grade. The point of vertical intersection is at station 98+20. The highest point of the curve is at station 100+79.35 to meet drainage design. What is the design speed, in mph? Correct answer here is 70 MPH

answer question 21 only