A common tangent of a compound curve makes an angle of 12 degrees from the tangent passing through the PC and 18 degrees from the tangent passing through the PT. If the  radius of the second curve is 180m, find the radius of the first curve if the length of the common tangent is 70m

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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PROBLEM #2) A common tangent of a compound curve makes an angle of 12 degrees from the tangent passing through the PC and 18 degrees from the tangent passing through the PT. If the 

radius of the second curve is 180m, find the radius of the first curve if the length of the common tangent is 70m long. (SIMPLE AND COMPOUND CURVES)

*PLEASE USE THE FORMULAS BELOW*

 

2πR 20
360° D
T = R tan
LC = 2R sin
Konkl/2)
-₁]
R(1 - cos 2)
COS
E = R
I
2
M 1 =
OR
I
2πTR
360
E = Ttan
M = E cos
4
I
IN
Transcribed Image Text:2πR 20 360° D T = R tan LC = 2R sin Konkl/2) -₁] R(1 - cos 2) COS E = R I 2 M 1 = OR I 2πTR 360 E = Ttan M = E cos 4 I IN
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