A section of a freeway ramp has a +4.0% grade and ends at station 127 + 00 and elevation 138 ft. It must be connected to another section of the ramp (which has a 0.0% grade) that is at station 162 +00 and elevation 97 ft. It is determined that the crest and sag curves required to connect the ramp should be connected (the PVT of the crest and PVC of the sag) with a constant-grade section that has the lowest grade possible. Design a vertical alignment to connect between these two stations using a 50-mi/h design speed. Provide the lengths of the curves and constant-grade section.

A section of a freeway ramp has a +4.0% grade and ends at station 127 + 00 and elevation 138 ft. It must be connected to another section of the ramp (which has a 0.0% grade) that is at station 162 +00 and elevation 97 ft. It is determined that the crest and sag curves required to connect the ramp should be connected (the PVT of the crest and PVC of the sag) with a constant-grade section that has the lowest grade possible. Design a vertical alignment to connect between these two stations using a 50-mi/h design speed. Provide the lengths of the curves and constant-grade section.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A crest vertical curve joining a + 3 percent and – 4 percent grade is to be designed for 75 mph. If the tangent intersect at station (345 + 6000) at an elevation of 250 ft, determine the stations and elevations of the PVC and PVT.
An equal-tangent curve connects a +1.0% and a -0.5% grade. The PVC is at station 54+24 and the PVI is at station 56+92. Is this curve long enough to provide passing sight distance for a 60-mi/r design speed? Problem 2
A sag vertical curve joins a -6% grade and +5% grades. If the PVI of the grades is at Station 355+50 and at an elevation of 156 ft., determine the station and elevation of the PVC, PVT, and the low point for a design speed of 60 mph. Sketch the curve and label the PVI, PVC, PVT and the low point with their stations and elevations. Note: You should check the stopping sight distance criterion and riding comfort design criteria, using the one that controls. 2.
A grade of -3.0% is followed by a grade of +2.1% which intersects at station 10+250 and elevation of 110 m. If the maximum change in grade per 20 m station is 0.20%, determine the following A. Length of parabolic curve that shall connect these two gradelines. B. Elevation of PC. C. Elevation of a point on the curve @ Sta.10+250.
Q6. To help improve the safety of at-grade intersection of two roads, the intersection is being redesigned so that the E-W road will pass underneath the N-S road. Currently the vertical alignment of the E-W road consists of a crest vertical curve joining a 4% upgrade to a 3% downgrade. The existing vertical curve is 138 m long, the PVC of this curve is at station 14+47, and the elevation of the PVC is 477 m. The centerline of the N-S road is at station 15+45. Your job is to find the shortest vertical curve that provides 6.0 m of clearance between the new E-W road and the N-S road.
1) An equal-tangent crest vertical curve has a 50 mi/h design speed. The initial grade is +3%. The high point is at station 33+37.43 and the PVT is at station 37+18.26. What is the elevation difference between the high point and the PVT? 2) A 1400-ft-long sag vertical curve (equal tangent) has a PVC at stateion 115+00 and elevation 750ft. The intial grade is -3.5% and the final grade is +6.5%. Determine the elevation and stationing of the low point, PVI, and PVT. If you could show as many steps taken as possible that would be helpful in me actually understanding how to do the problem. Thanks
Need asap?
An equal-tangent crest vertical curve is 1100 ft long and connects a +2.5% and a -1.5% grade. If the design speed of the roadway is 85 mi/h, determine the length of curve, does this curve have adequate passing sight distance?
Two sections of a highway are separated by 800m. The initial grade is +3.0% and the final grade is -1.0% and the elevation is 12m. Determine the curve lengths required for a 120km/hr vertical alignment to connect two highway segments, keeping the connecting grade as small as possible.
An equal tangent vertical curve is intended to connect grades of 3.5% and -2.9%. If this curve is to be a part of a highway designed with a PSD of 500ft, determine the minimum length (ft) of the vertical curve. Use exact solution (do not use the table).
A crest vertical curve will connect a 1.5% grade to a -3% grade with a design speed of 45 mph. Using the SSD (stopping site distance) criterion, what is the minimum length of the curve?
A section of a two-lane highway (one lane in each direction) (12-ft lanes) is designed for 55 mi/h. At one point a vertical curve connects a -2.9% and +1.8% grade. The PVT of this curve is at station 38 + 50. It is known that a horizontal curve starts (has PC) 247 ft before the vertical curve's PVC. If the superelevation of the horizontal curve is 0.08 and the central angle is 39 degrees, what is the station of the PT (express station in the format 0.00, for example, station 10+50 must be expressed as 10.5)?