1. A portion of a proposed highway extension project in the form of a compound circular curve is to be laid out in such a way that it will be tangent to three reference lines AB, BC and CD. The length of the circular curve which starts at the PC is twice the length of the curve passing through the PT. Stationing of B is 9 + 980. Given the following data: POINT A B C D NORTHING 130.35 175.78 106.14 12.53 EASTING 40.50 260.86 437.64 472.82 a. Determine the value of I for the compound curve. b. Calculate for the radius of the simple curve that starts at the PC. c. Calculate for the radius of the simple curve that ends at the PT. d. What will be the stationing of the PT of the compound curve?

1. A portion of a proposed highway extension project in the form of a compound circular curve is to be laid out in such a way that it will be tangent to three reference lines AB, BC and CD. The length of the circular curve which starts at the PC is twice the length of the curve passing through the PT. Stationing of B is 9 + 980. Given the following data: POINT A B C D NORTHING 130.35 175.78 106.14 12.53 EASTING 40.50 260.86 437.64 472.82 a. Determine the value of I for the compound curve. b. Calculate for the radius of the simple curve that starts at the PC. c. Calculate for the radius of the simple curve that ends at the PT. d. What will be the stationing of the PT of the compound curve?

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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Concept explainers

Traverse Survey

Traverse surveying is a popular method of surveying. Traversing is that type of survey where several connected survey lines form a framework and the directions and lengths of the survey lines are measured with the help of a tool to measure angles and tape or chain respectively. Traverse networks involve placing survey stations in a queue or trail and using pre-tested points as a basis for looking at the next point. This type of surveying is different from Tacheometric surveying, where only angles are measured and the process of chaining is reduced.

Question

1. A portion of a proposed highway extension project in the form of a compound circular curve is to be laid out
in such a way that it will be tangent to three reference lines AB, BC and CD. The length of the circular curve
which starts at the PC is twice the length of the curve passing through the PT. Stationing of B is 9 + 980.
Given the following data:
POINT
ABCD
C
D
NORTHING
130.35
175.78
106.14
12.53
EASTING
40.50
260.86
437.64
472.82
a. Determine the value of I for the compound curve.
b. Calculate for the radius of the simple curve that starts at the PC.
c. Calculate for the radius of the simple curve that ends at the PT.
d. What will be the stationing of the PT of the compound curve?
2. It is desired to add a third simple curve in the compound curve (in problem 1), forming a reverse curve with
parallel tangents and unequal radii. The curve will begin at the PT of the compound curve. If the perpendicular
distance between the parallel tangents is 136.5 m, solve for the following:
a. Radius of the 3rd simple curve.
b. Stationing of the PT (for the reversed curve).

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