Two tangents converge at angle of 30o. The direction of the second tangent is due east. The distance of the PC from the second tangent is 116.50m. The bearing of the common tangent is S 40o E.  a. Compute the central angle of the first curve. b. If a reversed curve is to connect these two tangents, determine the common radius of the curve. c. Compute the stationing of the PT if PC is at station 10+260.

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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Two tangents converge at angle of 30o. The direction of the second tangent is due east. The distance of the PC from the second tangent is 116.50m. The bearing of the common tangent is S 40o E. 
a. Compute the central angle of the first curve.
b. If a reversed curve is to connect these two tangents, determine the common radius of the curve.
c. Compute the stationing of the PT if PC is at station 10+260.

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With the same problem, change the converge angle at 40 degrees and comptue the asking questions. Draw the curve accurately and show an illustration on how did the equations are formed in letter b. 

 

 

 

 

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Can you show an illustration on how are radius multiplied by cos in y1 + y2 in letter b. 

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