Question
Download Solution PDFThe following is the table containing data recorded during curve setting by using the two theodolite method.
|
Point |
Chord Length |
Tangential Angle |
Deflection Angle |
Theodolite reading at |
|
|
Point of Curve |
Point of Tangency |
||||
|
P1 |
12.26 m |
0° 21' 25" |
A |
||
|
P2 |
20 m |
1° 12' 5" |
B |
||
|
P3 |
20 m |
1° 12' 5" |
|
||
|
P4 |
20 m |
1° 12' 5" |
3° 57' 40" |
||
C
The values of A, B and C are ____, ____ and ____, respectively.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Two Theodolite Method
- In this method, two theodolites are used for the angular measurements and no linear measurements are taken.
- One theodolite is set at the point of curvature (T1) and the other at the point of tangency (T2).
- This method is quite accurate.
- This method is convenient, specially when the ground is rough, and accurate chaining is not possible.
Calculation:
|
Point |
Chord Length |
Tangential Angle |
Deflection Angle |
Theodolite reading at |
|
|
Point of Curve |
Point of Tangency |
||||
|
P1 |
12.26 m |
0° 21' 25" |
A |
||
|
P2 |
20 m |
1° 12' 5" |
B |
||
|
P3 |
20 m |
1° 12' 5" |
|
||
|
P4 |
20 m |
1° 12' 5" |
3° 57' 40" |
||
Calculation are based on the above figure
For calculation of A, it will be equal to tangential deflection angle.
A = 0° 21' 25"
For calculation of B (point of curve), it will be sum of tangential angle up to that point.
B = 0° 21' 25" + 1° 12' 5" = 1° 33’ 30”
For calculation of C (point of tangency), it will be the difference of 360° with sum of tangential angle up to point C
C = 360° - (0° 21' 25"+1° 12' 5"+1° 12' 5") = 357° 14’ 25”
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