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R a k e s h K u m a r V e r m a
A s s i s t a n t P r o f e s s o r ,
C i v i l E n g i n e e r i n g D e p a r t m e n t , P . I . E . T .
P a r u l U n i v e r s i t y
Compass Surveying
Definitions
 True Meridian
 True Bearing /Azimuth
 Magnetic Meridian
 Magnetic Bearing /Bearing
 Arbitrary Meridian
 Arbitrary Bearing.
 Grid Meridian
 Grid Bearing
TN
A
O
AZ
MN
A
MB
O
Magnetic North
Magnetic South
Magnetic
Meridian
North
South
MeridiansPrime
Meridians
Equator
λ=40
Latitudes
Longitudes
Understanding of Lat. & Long.
Equator
Equatorial Plane
Location of Man
λ
α
α- Longitude
λ- Latitude
Understanding of Lat. & Long.
Observer's Plane
(i) Whole Circle Bearing
(WCB)
(ii) Quadrantal Bearing
(QB)
 WCB  QB
Designation of Magnetic Bearing
O
NN
W
SS
E EW
SE
NW
SW
NE
O O
A
B
A
B
Clockwise rotation has to be followed
Reduced Bearing (RB) Fore And Back Bearing
 Similar to Quadrant
Bearing
 Obtained when,
 Depended on direction
of main survey line
Bearing
WCB QBConvert
N
Direction of Survey
BM
A B
BB FB
North
WCB-----QB
Reduced Bearing (RB)
O
A
φ
α
WCB reading=α=220ᵒ
QB reading=φ=220ᵒ-180ᵒ
=S 40ᵒW
N
S
EW
N
W
S
E
α
α=φ
WCBNE
180ᵒ-α=φ
WCBSE
α-180ᵒ=φ
WCBSW
360ᵒ-α=φ
WCBNW
Conversion of WCB to RB
N
W
S
E
φ
α=φ
RB NE
180ᵒ-φ1= α
RB SEφ2+180ᵒ= α
RB SW
360ᵒ- φ3=α
RBNW
Conversion of RB to WCB
φ2
φ1
φ3
Fore Bearing & Back Bearing
 Bearing taken in forward direction of survey line-
FB
 Bearing taken in backward direction of survey
line- BB
FB
BB
A
B
B
A
Magnetic Declination
 The Horizontal Angle Between the Magnetic
Meridian and True Meridian is known as
‘magnetic declination’.
 When the north end of the magnetic needle is
pointed towards the west side of the true meridian,
the position is termed ‘Declination West’ ().
 When the north end of the magnetic needle is
pointed towards the east side of the true meridian,
the position is termed ‘Declination East’
Magnetic Declination
True North
E
W
W
S
S
E
Isogonic and Agonic Lines
 Lines Passing Through Points Of Equal
Declination are known as ‘isogonic’ lines.
 The Survey of India Department has prepared a map
of India in which the isogonic and agonic lines are
shown properly as a guideline to conduct the
compass survey in different parts of the country.
Isogonic and Agonic Lines
Dip of the Magnetic
Needle
Inclination
from the
horizontal
plane
Zero
inclination at
the equator
Dip of the Magnetic Needle
Local Attraction
 Error introduced in direction of magnetic needle due to
magnetic materials such as iron ore, steel structures,
electric cables conveying current; etc.
 Then it does not show the actual north. This
phenomenon is known as ‘local attraction’.
 If
 Error compensation
 Divide equally in FB & BB
Error of local attractionFB-BB≠ 180 degrees
FB-BB= 180 degrees Free from local attraction
Example
For example, consider the case when
Observed FB of AB = 60030’
Observed BB of AB = 24000’
Calculated BB of AB = 600300 + 18000’ = 240030’
Corrected BB of AB = 1/2 (24000’ + 240030’) = 240015’
Hence, Corrected FB of AB = 240015’ – 18000’ = 60015’
Principle of Compass Surveying
 Traversing, which Involves A Series of Connected Lines.
 The magnetic bearings of the lines are measured by prismatic
compass and
 The distances of the lines are measured by chain.
 Such survey does not require the formation of a network of
triangles.
 Interior details are located by taking offsets from the main survey
lines. Sometimes subsidiary lines may be taken for locating these
details.
 Compass surveying is not recommended for areas where local
attraction is suspected due to the presence of magnetic substances
like steel structures, iron ore deposits, electric cables conveying
current, and so on.
TRAVERSING
 Well Defined Network of Connected Lines
 The sides of the traverse are known as ‘traverse legs’.
 Measurements
 A traverse may be of two types –
 Closed traverse
1. closed loop (i.e. when the finishing point coincides with the starting
point
 Open traverse
1. connected lines extends along a general direction and does not return to
the starting point,
2. Open traverse is suitable for the survey of roads, rivers, coast lines, etc
Lengths of Lines
Directions
Chain
Compass or Theodolite
Methods of Traversing
Chain traversing (by chain angle)
Compass traversing (by free needle)
Theodolite traversing (by fast needle) and
Plane table traversing (by plane table)
Check on Angular Measurements
(a) The sum of the measured Interior Angles should be
equal to (2N – 4) x 90ᵒ where N is the number of sides of
the traverse.
(b) The sum of the measured Exterior Angles should be
equal to (2N + 4) x 90ᵒ
(c) The algebraic sum of the Deflection Angles should be
equal to 360ᵒ
Right-hand deflection is considered positive and left-hand
deflection negative.
Check on Linear Measurement
(a) The lines should be measurement once each on two
different days (along opposite directions). Both
measurements should tally.
(b) Linear measurements should also be taken by the
stadia method. The measurements by chaining and by
the stadia method should tally.
Check on Open Traverse
 No Direct checks available, but following
methods can be adopted
1. Taking cut-off lines
2. Taking an auxiliary point
A
F
E
C
D
B
N
N
N
N
N
For Check
Taking Cut-off Lines
Cut-off lines are taken between some intermediate stations of the open traverse.
Let AD and DG be the cut-off lines. The lengths and magnetic bearings of the cut-off
lines are measured accurately. After plotting the traverse, the distances and bearings
are noted from the map. These distances and bearings should tally with the actual
records from the field
Taking an Auxiliary Point
A
D
C
B
E
P
N
N
N
N
N
A permanent point ‘P’ is selected on one side of it. If the survey is carried out
accurately and so is the plotting, all the measured bearings of P when plotted should
meet at the point P. The permanent point P is known as the ‘auxiliary point’
The prismatic compass The Surveyor’s compass
Types of Compass
Components of Prismatic Compass
Construction
Zero degree marked at
South and 90 degree at
North
Vanes
Eye Vane
Guide Vane
Magnetic Needle
Bubble Tube
Screw
Circular
Metal Box
Dia.-8 to
10cm
Fixed
Graduated
Plane
Sr.
No.
Base Of
Comparison Prismatic Compass Surveyor Compass
1 First look Prism at one end and slit on
other
No prism only Slit at both
end
2 Use of Tripod
Stand
May or may not use along,
Steady hold in hand also give
good results
Use of Tripod stand is
necessary
3 Observation/
Readings
Taken with help of prism
provided by eye slit
Directly read from top of
compass
4 Magnetic
Needle
Does not act as index Act as index
5 Graduation WCB system QB system
6 Graduation
marking
Appear inverted from top,
Zero at south & 180 degrees
at north
Mark directly Zero at North
and 90 degree at East
7 Graduated
circle
Attached with needle, Does
not rotate with line of sight
Permanently attached with
box, rotates with line of sight
Comparison between
Prismatic Compass and Surveyor Compass
Temporary Adjustment of Compass
Centering
Levelling
Focusing
1. Adjustment of prism
2. Bisecting/Observation of bearing
Northφ1
φ3
φ2
Determination of Reduced Bearing
A
O
C
B
Angle AOB=φ2-φ1 Angle BOC= φ3-φ2Angle AOC= φ3-φ1
North
φ3
φ2
φ1
φ4
C
AB
Field WorkIncluded Angles BAC= φ2
Included Angles ACB=φ3
Included Angles ABC=φ4
Determination of Included Angles
Dist. AB
Compass surveying

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Compass surveying

  • 1. R a k e s h K u m a r V e r m a A s s i s t a n t P r o f e s s o r , C i v i l E n g i n e e r i n g D e p a r t m e n t , P . I . E . T . P a r u l U n i v e r s i t y Compass Surveying
  • 2. Definitions  True Meridian  True Bearing /Azimuth  Magnetic Meridian  Magnetic Bearing /Bearing  Arbitrary Meridian  Arbitrary Bearing.  Grid Meridian  Grid Bearing
  • 5.
  • 7. Equatorial Plane Location of Man λ α α- Longitude λ- Latitude Understanding of Lat. & Long. Observer's Plane
  • 8. (i) Whole Circle Bearing (WCB) (ii) Quadrantal Bearing (QB)  WCB  QB Designation of Magnetic Bearing O NN W SS E EW SE NW SW NE O O A B A B Clockwise rotation has to be followed
  • 9. Reduced Bearing (RB) Fore And Back Bearing  Similar to Quadrant Bearing  Obtained when,  Depended on direction of main survey line Bearing WCB QBConvert N Direction of Survey BM A B BB FB North
  • 10. WCB-----QB Reduced Bearing (RB) O A φ α WCB reading=α=220ᵒ QB reading=φ=220ᵒ-180ᵒ =S 40ᵒW N S EW
  • 12. N W S E φ α=φ RB NE 180ᵒ-φ1= α RB SEφ2+180ᵒ= α RB SW 360ᵒ- φ3=α RBNW Conversion of RB to WCB φ2 φ1 φ3
  • 13. Fore Bearing & Back Bearing  Bearing taken in forward direction of survey line- FB  Bearing taken in backward direction of survey line- BB FB BB A B B A
  • 14. Magnetic Declination  The Horizontal Angle Between the Magnetic Meridian and True Meridian is known as ‘magnetic declination’.  When the north end of the magnetic needle is pointed towards the west side of the true meridian, the position is termed ‘Declination West’ ().  When the north end of the magnetic needle is pointed towards the east side of the true meridian, the position is termed ‘Declination East’
  • 16. Isogonic and Agonic Lines  Lines Passing Through Points Of Equal Declination are known as ‘isogonic’ lines.  The Survey of India Department has prepared a map of India in which the isogonic and agonic lines are shown properly as a guideline to conduct the compass survey in different parts of the country.
  • 18. Dip of the Magnetic Needle Inclination from the horizontal plane Zero inclination at the equator
  • 19. Dip of the Magnetic Needle
  • 20. Local Attraction  Error introduced in direction of magnetic needle due to magnetic materials such as iron ore, steel structures, electric cables conveying current; etc.  Then it does not show the actual north. This phenomenon is known as ‘local attraction’.  If  Error compensation  Divide equally in FB & BB Error of local attractionFB-BB≠ 180 degrees FB-BB= 180 degrees Free from local attraction
  • 21. Example For example, consider the case when Observed FB of AB = 60030’ Observed BB of AB = 24000’ Calculated BB of AB = 600300 + 18000’ = 240030’ Corrected BB of AB = 1/2 (24000’ + 240030’) = 240015’ Hence, Corrected FB of AB = 240015’ – 18000’ = 60015’
  • 22. Principle of Compass Surveying  Traversing, which Involves A Series of Connected Lines.  The magnetic bearings of the lines are measured by prismatic compass and  The distances of the lines are measured by chain.  Such survey does not require the formation of a network of triangles.  Interior details are located by taking offsets from the main survey lines. Sometimes subsidiary lines may be taken for locating these details.  Compass surveying is not recommended for areas where local attraction is suspected due to the presence of magnetic substances like steel structures, iron ore deposits, electric cables conveying current, and so on.
  • 23. TRAVERSING  Well Defined Network of Connected Lines  The sides of the traverse are known as ‘traverse legs’.  Measurements  A traverse may be of two types –  Closed traverse 1. closed loop (i.e. when the finishing point coincides with the starting point  Open traverse 1. connected lines extends along a general direction and does not return to the starting point, 2. Open traverse is suitable for the survey of roads, rivers, coast lines, etc Lengths of Lines Directions Chain Compass or Theodolite
  • 24. Methods of Traversing Chain traversing (by chain angle) Compass traversing (by free needle) Theodolite traversing (by fast needle) and Plane table traversing (by plane table)
  • 25. Check on Angular Measurements (a) The sum of the measured Interior Angles should be equal to (2N – 4) x 90ᵒ where N is the number of sides of the traverse. (b) The sum of the measured Exterior Angles should be equal to (2N + 4) x 90ᵒ (c) The algebraic sum of the Deflection Angles should be equal to 360ᵒ Right-hand deflection is considered positive and left-hand deflection negative.
  • 26. Check on Linear Measurement (a) The lines should be measurement once each on two different days (along opposite directions). Both measurements should tally. (b) Linear measurements should also be taken by the stadia method. The measurements by chaining and by the stadia method should tally.
  • 27. Check on Open Traverse  No Direct checks available, but following methods can be adopted 1. Taking cut-off lines 2. Taking an auxiliary point
  • 28. A F E C D B N N N N N For Check Taking Cut-off Lines Cut-off lines are taken between some intermediate stations of the open traverse. Let AD and DG be the cut-off lines. The lengths and magnetic bearings of the cut-off lines are measured accurately. After plotting the traverse, the distances and bearings are noted from the map. These distances and bearings should tally with the actual records from the field
  • 29. Taking an Auxiliary Point A D C B E P N N N N N A permanent point ‘P’ is selected on one side of it. If the survey is carried out accurately and so is the plotting, all the measured bearings of P when plotted should meet at the point P. The permanent point P is known as the ‘auxiliary point’
  • 30. The prismatic compass The Surveyor’s compass Types of Compass
  • 31. Components of Prismatic Compass Construction Zero degree marked at South and 90 degree at North
  • 32. Vanes Eye Vane Guide Vane Magnetic Needle Bubble Tube Screw Circular Metal Box Dia.-8 to 10cm Fixed Graduated Plane
  • 33. Sr. No. Base Of Comparison Prismatic Compass Surveyor Compass 1 First look Prism at one end and slit on other No prism only Slit at both end 2 Use of Tripod Stand May or may not use along, Steady hold in hand also give good results Use of Tripod stand is necessary 3 Observation/ Readings Taken with help of prism provided by eye slit Directly read from top of compass 4 Magnetic Needle Does not act as index Act as index 5 Graduation WCB system QB system 6 Graduation marking Appear inverted from top, Zero at south & 180 degrees at north Mark directly Zero at North and 90 degree at East 7 Graduated circle Attached with needle, Does not rotate with line of sight Permanently attached with box, rotates with line of sight Comparison between Prismatic Compass and Surveyor Compass
  • 34. Temporary Adjustment of Compass Centering Levelling Focusing 1. Adjustment of prism 2. Bisecting/Observation of bearing
  • 35. Northφ1 φ3 φ2 Determination of Reduced Bearing A O C B Angle AOB=φ2-φ1 Angle BOC= φ3-φ2Angle AOC= φ3-φ1
  • 36. North φ3 φ2 φ1 φ4 C AB Field WorkIncluded Angles BAC= φ2 Included Angles ACB=φ3 Included Angles ABC=φ4 Determination of Included Angles Dist. AB