A vertical curve must begin at the center of manhole 1 (Sta. 56 + 000, Elev. 60 m) and end at manhole 2 (Sta. 56 + 231, Elev. 58.731 m). The entering grade (at manhole 1) of -4% and the exiting grade (at manhole 2) of +3% cannot be changed. It is required to design an asymmetrical vertical curve from manhole 1 to manhole 2.   a. At what distance from manhole 1 will the two grades intersect in m?   b. What is the grade of the line connecting the PI of the first vertical curve with the PI of the second vertical curve (g3) through the asymmetrical curve?   c. What is the elevation of the compound vertical curvature point in m?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A vertical curve must begin at the center of manhole 1 (Sta. 56 + 000, Elev. 60 m) and end at manhole 2 (Sta. 56 + 231, Elev. 58.731 m). The entering grade (at manhole 1) of -4% and the exiting grade (at manhole 2) of +3% cannot be changed. It is required to design an asymmetrical vertical curve from manhole 1 to manhole 2.

 

a. At what distance from manhole 1 will the two grades intersect in m?

 

b. What is the grade of the line connecting the PI of the first vertical curve with the PI of the second vertical curve (g3) through the asymmetrical curve?

 

c. What is the elevation of the compound vertical curvature point in m?

 

(Please be mindful of the given values)

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