A simple curve has a radius of 220 m and angle of intersection of 128°. The curve is to be shifted by rotating the forward tangent 24° counterclockwise about PT. If the back and forward tangents are originally having an azimuth (from south) of 222° and 348° respectively, determine the following: a. The radius of the new curve.
A simple curve has a radius of 220 m and angle of intersection of 128°. The curve is to be shifted by rotating the forward tangent 24° counterclockwise about PT. If the back and forward tangents are originally having an azimuth (from south) of 222° and 348° respectively, determine the following: a. The radius of the new curve.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A simple curve has a radius of 220 m and angle of intersection of 128°. The curve is to be shifted by rotating the forward tangent 24° counterclockwise about PT. If the back and forward tangents are originally having an azimuth (from south) of 222° and 348° respectively, determine the following:
a. The radius of the new curve.
b. The central angle of the new curve.
c. The stationing of new PC if the old PC is at 8+726.32
Draw and plot the curve. Compute all of the necessary elements of the curve. Include the proper units/dimensions and round-off the answers to 3 decimal places.

Transcribed Image Text:PI
PT
PC
C
Back
tangent
Forward
tangent
R
PI
I
M
I/2
PC
PT
L/2
L/2
R- m
Back Tangent
R
Forward Tangent
20
R
I/2
I
• PC = Point of curvature. It is the beginning
%3D
of curve.
• PT = Point of tangency. It is the end of
curve.
• PI = Point of intersection of the tangents.
%3D
Also called vertex
• T = Length of tangent from PC to PI and
from PI to PT. It is known as subtangent.
• R = Radius of simple curve, or simply
radius.
• L = Length of chord from PC to PT. Point Q
as shown below is the midpoint of L.
%3D
Lc = Length of curve from PC to PT. Point M
in the the figure is the midpoint of Lc.
• E = External distance, the nearest distance
%3D
from PI to the curve.
• m = Middle ordinate, the distance from
midpoint of curve to midpoint of chord.
I = Deflection angle (also called angle of
intersection and central angle). It is the
%3D
angle of intersection of the tangents. The
angle subtended by PC and PT at O is also
equal to I, where O is the center of the
circular curve from the above figure.
• x = offset distance from tangent to the
curve. Note: x is perpendicular to T.
• 0 = offset angle subtended at PC between
PI and any point in the curve
D = Degree of curve. It is the central angle
subtended by a length of curve equal to
one station. In English system, one station
is equal to 100 ft and in SI, one station is
%3D
equal to 20 m.
• Sub chord = chord distance between two
adjacent full stations.
12
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