Resolve the #2 illustrative problem using the equations for a parabola. (y=Ax²+Bx+C)Note: Your solution should not include the use of the grade diagram for the required. (#1a & #1b, & #2) 2. A grade line Al having a sape of 55 intersect anofther grade ine BC having askope of -3% at 8. The elevations of points A. B and Core 95 m 100 m ond 97 mrespectively. Determine the elevation of the summit of the 100 m poratolic verticalcurve to connect the grade ines. Horizontal distance between A and B- (100 - 95)/0.05 = 100 mHorizontal distance between B and C= (100 - 97)/0.03 = 100 m50 m50 m50 m50 mB (Elev. 100 m) -PT3%OPC+5%-CE. 97)0.03ACElev, 95) 0.050.03StGrade DiagramSuThe figure above placed the parabolie curve at the middle-half:Elev PC - Elev A+ 50(0.05)Elev PC- D5 + 2.5Elev PC - 07.6 mDistance from PC to the summit:1000.05S,= 02.50.08Elevation of the summit:Elevation of the summit Elev PC+s,(0.05)Elevation of the aummit 97.6 +(62.5)(0.05)Elevation of the summit- 90.0625 m

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Answered: Resolve the #2 illustrative problem…

Engineering

Civil Engineering

Resolve the #2 illustrative problem using the equations for a parabola. (y=Ax²+Bx+C)

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter15: Slope Stability

Section: Chapter Questions

Problem 15.14P

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Concept explainers

Surveys of public lands

A survey is a method used to determine the relative positions of various objects on the land by measuring the horizontal distances between them. Briefly, a survey is a process of accumulation of data of various details related to land. The main objective of surveying land is to prepare maps to a suitable scale. Various types of maps such as topographical maps, cadastral maps, engineering maps, military maps, contour maps, geological maps, archaeological maps, and so on can be prepared by surveying.

Question

100%

Resolve the #2 illustrative problem using the equations for a parabola. (y=Ax²+Bx+C) Note: Your solution should not include the use of the grade diagram for the required. (#1a & #1b, & #2)

2. A grade line Al having a sape of 55 intersect anofther grade ine BC having a
skope of -3% at 8. The elevations of points A. B and Core 95 m 100 m ond 97 m
respectively. Determine the elevation of the summit of the 100 m poratolic vertical
curve to connect the grade ines.

Horizontal distance between A and B- (100 - 95)/0.05 = 100 m
Horizontal distance between B and C= (100 - 97)/0.03 = 100 m
50 m
50 m
50 m
50 m
B (Elev. 100 m) -
PT
3%
O
PC
+5%-
CE. 97)
0.03
ACElev, 95) 0.05
0.03
St
Grade Diagram
Su
The figure above placed the parabolie curve at the middle-half:
Elev PC - Elev A+ 50(0.05)
Elev PC- D5 + 2.5
Elev PC - 07.6 m
Distance from PC to the summit:
100
0.05
S,= 02.5
0.08
Elevation of the summit:
Elevation of the summit Elev PC+s,(0.05)
Elevation of the aummit 97.6 +(62.5)(0.05)
Elevation of the summit- 90.0625 m

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