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a) A single carriageway highway has a design speed of 100 km/h. Assuming a perception-intellection-emotion-volition (PIEV) time of 2.5s and a deceleration rate of 3,41 m/s2, advise the safe stopping sight distance to be provided on a section of the roadway on an uphill gradient of 3%

a) A single carriageway highway has a design speed of 100 km/h. Assuming a perception-intellection-emotion-volition (PIEV) time of 2.5s and a deceleration rate of 3,41 m/s2, advise the safe stopping sight distance to be provided on a section of the roadway on an uphill gradient of 3%

Structural Analysis
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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a) A single carriageway highway has a design speed of 100 km/h. Assuming a perception-intellection-emotion-volition (PIEV) time of 2.5s and a deceleration rate of 3,41 m/s2, advise the safe stopping sight distance to be provided on a section of the roadway on an uphill gradient of 3% A section of the highway described in a) above is to have a vertical curve linking two gradients of +2.5 % and - 2.0% which intersect at a level of 300m above datum i For a vertical curve with an entry and exit gradients of m% and n% respectively and length L, show that that the tangent offset at L/2 is given by the equation e- (-n ii. Find the minimum length of vertical curve required, assuming the stopping sight distance calculated ih P(a) above ii. Calculate the vertical offset at the point of intersection of the two tangents at PI iv. Calculate the elevations at the end of the vertical curve v. Calculate the vertical and horizontal offsets for the highest point on the curve
Transcribed Image Text:a) A single carriageway highway has a design speed of 100 km/h. Assuming a perception-intellection-emotion-volition (PIEV) time of 2.5s and a deceleration rate of 3,41 m/s2, advise the safe stopping sight distance to be provided on a section of the roadway on an uphill gradient of 3% A section of the highway described in a) above is to have a vertical curve linking two gradients of +2.5 % and - 2.0% which intersect at a level of 300m above datum i For a vertical curve with an entry and exit gradients of m% and n% respectively and length L, show that that the tangent offset at L/2 is given by the equation e- (-n ii. Find the minimum length of vertical curve required, assuming the stopping sight distance calculated ih P(a) above ii. Calculate the vertical offset at the point of intersection of the two tangents at PI iv. Calculate the elevations at the end of the vertical curve v. Calculate the vertical and horizontal offsets for the highest point on the curve
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