Download - Simple circular curve by Nikhil Pakwanne
![Page 1: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/1.jpg)
Government College Of Engineering, Aurangabad.
“In Pursuit Of Global Competitiveness”
Simple Circular Curve-Angular Method
Created By:-
Nikhil Pakwanne
![Page 2: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/2.jpg)
SETTING OUT - DEFLECTION ANGLE METHOD :-
It Is Also Called RANKINE’S METHOD.
This method also follows the centerline of the curve.
![Page 3: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/3.jpg)
This method is based on the following geometry:
![Page 4: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/4.jpg)
Let AB & BC be two tangent intersecting at B, the deflection angle be (shown in fig.)
the tangent length is calculated & tangent pt. are marked.
Let, = first pt. on the curve. = length of cord. = deflection angle for first
chord. R = radius of curve = total deflection for the
chord.
2,1 TT
1P11PT 1l1
n
![Page 5: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/5.jpg)
Here,
Again, Chord arc
Now,
11111 22 PBTOPT
11PT 11PT
Rl
OPT
2
360
1
11
R
l
2
3602
11
![Page 6: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/6.jpg)
OR,
simillarly,
DegreesR
l
22
360 11
sR
lmin
22
60360 11
sR
lmin
9.1718 11
sR
lmin
9.1718 22
sR
lmin
9.1718 33
![Page 7: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/7.jpg)
then,
when the degree of curve D is given,
minR
l1718.9δ
n n
DegreeslD
60
11
DegreeslD
60
22
![Page 8: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/8.jpg)
finally,
Arithmetical check:
deg60
lDδ
n n
2.....321
nn
![Page 9: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/9.jpg)
Procedure:-
i. Set the instrument up at the tangent point, sight along the tangent and turn off the first deflection angle ( Φ =Ө/2 ).
ii. fix one end of tape at A, measure off 'c' meters, and swing tape until it aligns with the line of sight. Put in peg B.
![Page 10: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/10.jpg)
iii. Turn theodolite a further Φ°. Fix one end of tape at B, measure off 'c' meters, and swing tape until that point on the tape crosses the line of sight. Put in peg C.
iv. Repeat step (iii) until you peg the curve. If the line of sight becomes obstructed, then simply set up on any peg on the curve, sight back along the chord to the previous peg and
continue to establish the deflection angles.
![Page 11: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/11.jpg)
Precautions to take:
Calculate the angle Φ to seconds, or errors will be considerable
if many pegs must be placed.
The final reading, to the other tangent point, should equal L.
![Page 12: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/12.jpg)
SURVEYING AND LEVELLING BY N.N. BASAK
http://en.wikipedia.org
REFERENCES
![Page 13: Simple circular curve by Nikhil Pakwanne](https://reader038.vdocuments.us/reader038/viewer/2022110115/54bbad484a79593f368b4630/html5/thumbnails/13.jpg)
Thank You
Appreciate your time and attention!