2. Given are the stations and elevations of a proposed symmetrical parabolic highway curve. POINT A B с D ELEVATION (M) 83.5 79.1 81.8 85.4 STATION 8+120 (PC) 8+230 8+260 8+360 Note: Lines AB and CD are the tangent lines of the parabolic curve. The curve will clear a boulder at Sta. 8+220. The elevation of the tip of the boulder is 80.9615m. Solve for the ff. a. length of the symmetrical curve

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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2 Route Surveying

2. Given are the stations and elevations of a proposed symmetrical parabolic highway curve.
POINT
A
B
с
D
ELEVATION (m)
83.5
79.1
81.8
85.4
STATION
8+120 (PC)
8+230
8+260
8+360
Note: Lines AB and CD are the tangent lines of the parabolic curve.
The curve will clear a boulder at Sta. 8+220. The elevation of the tip of the boulder is 80.9615m.
Solve for the ff:
a. length of the symmetrical curve
b.
A circular pipe culvert is to be laid out as part of road drainage requirements. If the
elevation of the invert of the culvert is 78.97 m., determine the volume of earthworks
needed to cover the culvert considering a 20% shrinkage factor for the backfill. The
culvert has an inner radius of 0.4 m and thickness of 0.1 m. Consider 1 m width of the
road section.
Transcribed Image Text:2. Given are the stations and elevations of a proposed symmetrical parabolic highway curve. POINT A B с D ELEVATION (m) 83.5 79.1 81.8 85.4 STATION 8+120 (PC) 8+230 8+260 8+360 Note: Lines AB and CD are the tangent lines of the parabolic curve. The curve will clear a boulder at Sta. 8+220. The elevation of the tip of the boulder is 80.9615m. Solve for the ff: a. length of the symmetrical curve b. A circular pipe culvert is to be laid out as part of road drainage requirements. If the elevation of the invert of the culvert is 78.97 m., determine the volume of earthworks needed to cover the culvert considering a 20% shrinkage factor for the backfill. The culvert has an inner radius of 0.4 m and thickness of 0.1 m. Consider 1 m width of the road section.
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3. It is desired to adjust the symmetrical curve in problem 2 by adding a fill of 0.19m on its transition
point. If the PC and the grades of the tangents remain the same, solve for the following:
a. Length of the new parabolic curve
b. Vertical clearance between the curve and the right underside of an overpass bridge
whose elevation is 85.216m and is at sta. 8+250.
Transcribed Image Text:3. It is desired to adjust the symmetrical curve in problem 2 by adding a fill of 0.19m on its transition point. If the PC and the grades of the tangents remain the same, solve for the following: a. Length of the new parabolic curve b. Vertical clearance between the curve and the right underside of an overpass bridge whose elevation is 85.216m and is at sta. 8+250.
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