Answered: You are designing a vertical sag curve…

You are designing a vertical sag curve joining a -3% grade to a + 2% grade. The design speed is 60 mph. For the design of the curve, the stopping sight distance is based on a 0% grade.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

answer question 14 only

You are designing a vertical sag curve joining a -3% grade to a + 2% grade. The design speed is 60 mph.
For the design of the curve, the stopping sight distance is based on a 0% grade.

9. Assuming 0% grade, and AASHTO's recommended perception reaction time and recommended
deceleration rate, what is the stopping sight distance (ft)?
10. Assuming S>L, calculate the minimum length (ft) of curve.
11. Does the S>L condition hold true? YES or NO
12. Assuming S<L, calculate the minimum length (ft) of curve.
13. Does the S<L condition hold true? YES or NO
14. Calculate the minimum length (ft) of curve to satisfy the comfort criterion.
15. Calculate the minimum length (ft) of curve to sat the appearance criterion.
16. What minimum length (ft) of curve will satisfy the safety, comfort and appearance criteria?

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answer question 13 only
You are designing a vertical sag curve joining a -3% grade to a + 2% grade. The design speed is 60 mph. For the design of the curve, the stopping sight distance is based on a 0% grade. 1. Is the shape of the vertical curve circular, elliptic, or parabolic?
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A 500-m long equal tangent vertical curve has a point of vertical curvature at station 2 + 600 and elevation 450 m. The initial grade is -1% and final grade is +1% b) determine the highest and the lowest points on this vertical curve by using the K-value.
Determine the minimum length (Lmin) of a curve above if the slopes are + 3% and -3%, with a design speed of 75mi / hr, state the assumptions used to solve this problem.
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4. An equal tangent (sag) vertical curve connects an initial grade of -3% and a final grade of +1% and is designed for 60 mph. The PVI is at station 250+50 and elevation 732 ft. What is the station and elevation of the lowest point on the curve?