A vertical curve is required for a 1st class 3x3 highway section with entering and exiting grades of +5.10% and -6.40%, respectively. The point of intersection of the tangents is at station 20+44.00, with an elevation of 620 m. The perception-reaction time is assumed to be 1.5 seconds, the friction factor is 0.35, and the design speed is 100 km/h. a) Identify and specify the type of vertical curve. Provide a clear figure showing the PVI, PVC, PVT, and the midpoint of the vertical curve. b) Calculate the length of the vertical curve. c) Assess whether the calculated vertical curve length meets the minimum conditions. d) Find the elevation and stationing of the points of vertical curvature (PVC and PVT) and the midpoint of the vertical curve. e) Derive the equation of the vertical curve and calculate followings: • The elevation of points located at a distance of 183, 277, and 414.50 meters from the PVC point. • The distance from points with elevations of 610.82, 612.20, and 603.70 to the PVC point. f) Provide grade elevations at every 60 meters along the curve. Tabulate the calculations and results. (You are expected to present the results on a table.)

A vertical curve is required for a 1st class 3x3 highway section with entering and exiting grades of +5.10% and -6.40%, respectively. The point of intersection of the tangents is at station 20+44.00, with an elevation of 620 m. The perception-reaction time is assumed to be 1.5 seconds, the friction factor is 0.35, and the design speed is 100 km/h. a) Identify and specify the type of vertical curve. Provide a clear figure showing the PVI, PVC, PVT, and the midpoint of the vertical curve. b) Calculate the length of the vertical curve. c) Assess whether the calculated vertical curve length meets the minimum conditions. d) Find the elevation and stationing of the points of vertical curvature (PVC and PVT) and the midpoint of the vertical curve. e) Derive the equation of the vertical curve and calculate followings: • The elevation of points located at a distance of 183, 277, and 414.50 meters from the PVC point. • The distance from points with elevations of 610.82, 612.20, and 603.70 to the PVC point. f) Provide grade elevations at every 60 meters along the curve. Tabulate the calculations and results. (You are expected to present the results on a table.)

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

Traffic Engineering vertical curve problem. Solve the d,e,f part

A vertical curve is required for a 1st class 3x3 highway section with entering and exiting
grades of +5.10% and -6.40 %, respectively. The point of intersection of the tangents is at station
20+44.00, with an elevation of 620 m. The perception-reaction time is assumed to be 1.5 seconds,
the friction factor is 0.35, and the design speed is 100 km/h.
a) Identify and specify the type of vertical curve. Provide a clear figure showing the PVI, PVC,
PVT, and the midpoint of the vertical curve.
b) Calculate the length of the vertical curve.
c) Assess whether the calculated vertical curve length meets the minimum conditions.
d) Find the elevation and stationing of the points of vertical curvature (PVC and PVT) and the
midpoint of the vertical curve.
e) Derive the equation of the vertical curve and calculate followings:
●
The elevation of points located at a distance of 183, 277, and 414.50 meters from
the PVC point.
The distance from points with elevations of 610.82, 612.20, and 603.70 to the PVC
point.
f) Provide grade elevations at every 60 meters along the curve. Tabulate the calculations and
results. (You are expected to present the results on a table.)

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Step 3: (b) Calculate the length of the vertical curve.

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Step 4: (c) Assess whether the calculated vertical curve length meets the minimum conditions.

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Step 5: (d) Find the elevation and stationing of the points of vertical curvature.

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