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Compass surveying
Prismatic compass
Compass traversing:
         Important Definition
   True meridian: Line or plane passing         North
    through geographical north pole and          pole
    geographical south pole
                                                         True meridian
                                                          True bearing
   Magnetic meridian: When the magnetic                  Magnetic bearing
    needle is suspended freely and balanced
    properly, unaffected by magnetic
    substances, it indicates a direction. This            Magnetic meridian
    direction is known as magnetic meridian.
    The angle between the magnetic meridian
    and a line is known as magnetic bearing or
    simple bearing of the line.
   Arbitrary meridian: Convenient direction is assumed as a meridian.

   Grid meridian: Sometimes for preparing a map some state agencies
    assume several lines parallel to the true meridian for a particular
    zone these lines are termed as grid meridian.

   Designation of magnetic bearing
      Whole circle bearing (WCB)
      Quadrantal bearing (QB)

   WCB: The magnetic bearing of a line measured clockwise from the North
    Pole towards the line is known as WCB. Varies 0-360°
   Quadrantal Bearing: The magnetic bearing of a line measured
    clockwise or anticlockwise from NP or SP (whichever is nearer to the
    line) towards the east or west is known as QB. This system consists of 4-
    quadrants NE, SE, NW, SW. The values lie between 0-90°
        QB of OA = N a E
   Reduced Bearing: When the whole circle bearing of a line is
    converted to quadrantal bearing it is termed as reduced bearing.
   Fore and Back Bearing:




        In WCB the difference between FB and BB should be exactly 180°
        BB=FB+/-180°
        Use the +ve sign when FB<180°
        Use the –ve sign when FB> 180°
   Magnetic declination: The horizontal angle between the magnetic meridian and true
    meridian is known as magnetic declination.

   Dip of the magnetic needle: If the needle is perfectly balanced before magnetisation,
    it does not remain in the balanced position after it is magnetised. This is due to the
    magnetic influence of the earth. The needle is found to be inclined towards the pole. This
    inclination of the needle with the horizontal is known as dip of the magnetic
    needle.

   Local Attraction
   Method of correction for traverse:
      First method: Sum of the interior angle should be equal to (2n-4) x 90. if not than
       distribute the total error equally to all interior angles of the traverse. Then starting
       from unaffected line the bearings of all the lines are corrected using corrected interior
       angles.

        Second method: Unaffected line is first detected. Then, commencing from the
         unaffected line, the bearing of other affected lines are corrected by finding the
         amount of correction at each station.
Methods of traversing

    Chain traversing:

                                  15 m




                                  15 m

    Compass traversing: Fore bearings and back bearings between the traverse
     leg are measured
    Theodolite traversing: Horizontal angles between the traverse legs are
     measured. The length of the traverse legs are measured by chain/tape or by
     stadia method
    Plane table traversing: Plane table is set at every traverse station in
     clockwise and anticlockwise direction and the circuit is finally closed. During
     traversing the sides of the traverse are plotted according to any suitable scale.
Checks on traverse: Closed traverse
   Check on closed traverse:
      Sum of the measured interior angles (2n-4) x 90°
      Sum of the measured exterior angles (2n+4) x 90 °
      The algebric sum of the deflection angles should be equal to 360°.
       Right hand deflection is considered +ve, left hand deflection –ve

   Check on linear measurement
      The lines should be measured once each on two different days
       (along opposite directions). Both measurement should tally.
      Linear measurement should also be taken by the stadia method.
       The measurement by chaining and stadia method should tally.
Checks on traverse: Open traverse
   Taking cut-off lines: measured the
    bearings and lengths of cut off
    lines after plotting and tally with
    actual values.




   Taking an auxiliary point: Take P
    permanent point as auxiliary point
    measured bearings and lengths of
    P from each traverse point. If
    survey is accurate, while plotting
    all the measured bearing of P
    should meet at P.
Problems:
   Convert the following WCBs to QBs
      (a) WCB of AB = 45°30’
         (Ans 45°30’)
        (b) WCB of BC = 125°45’
         (Ans 180- 125°45’ = 54° 15’)

   Fore bearing of the following lines are given. Find back bearing
      AB=S 30°30’ E
      BC=N 40°30’ W
   The magnetic bearing of a line AB is 135°30’ what will be the true
    bearing, if the declination is 5°15’ W.
Problems
Contd…
Problems



           Included angle at A= 280-180-40=60
           =FB of DA-180-FB of AB
           Included angle at B= 40+180-70= 150
           =FB of AB+180-FB of BC
           Included angle at C= 70+180-210
           =FB of BC+180-FB of CD


           Formula: FB of previous line+/-180-
           FB of next line
Compass surveying

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Compass surveying

  • 3. Compass traversing: Important Definition  True meridian: Line or plane passing North through geographical north pole and pole geographical south pole True meridian True bearing  Magnetic meridian: When the magnetic Magnetic bearing needle is suspended freely and balanced properly, unaffected by magnetic substances, it indicates a direction. This Magnetic meridian direction is known as magnetic meridian. The angle between the magnetic meridian and a line is known as magnetic bearing or simple bearing of the line.
  • 4. Arbitrary meridian: Convenient direction is assumed as a meridian.  Grid meridian: Sometimes for preparing a map some state agencies assume several lines parallel to the true meridian for a particular zone these lines are termed as grid meridian.  Designation of magnetic bearing  Whole circle bearing (WCB)  Quadrantal bearing (QB)  WCB: The magnetic bearing of a line measured clockwise from the North Pole towards the line is known as WCB. Varies 0-360°
  • 5. Quadrantal Bearing: The magnetic bearing of a line measured clockwise or anticlockwise from NP or SP (whichever is nearer to the line) towards the east or west is known as QB. This system consists of 4- quadrants NE, SE, NW, SW. The values lie between 0-90°  QB of OA = N a E  Reduced Bearing: When the whole circle bearing of a line is converted to quadrantal bearing it is termed as reduced bearing.  Fore and Back Bearing:  In WCB the difference between FB and BB should be exactly 180°  BB=FB+/-180°  Use the +ve sign when FB<180°  Use the –ve sign when FB> 180°
  • 6. Magnetic declination: The horizontal angle between the magnetic meridian and true meridian is known as magnetic declination.  Dip of the magnetic needle: If the needle is perfectly balanced before magnetisation, it does not remain in the balanced position after it is magnetised. This is due to the magnetic influence of the earth. The needle is found to be inclined towards the pole. This inclination of the needle with the horizontal is known as dip of the magnetic needle.  Local Attraction  Method of correction for traverse:  First method: Sum of the interior angle should be equal to (2n-4) x 90. if not than distribute the total error equally to all interior angles of the traverse. Then starting from unaffected line the bearings of all the lines are corrected using corrected interior angles.  Second method: Unaffected line is first detected. Then, commencing from the unaffected line, the bearing of other affected lines are corrected by finding the amount of correction at each station.
  • 7.
  • 8.
  • 9. Methods of traversing  Chain traversing: 15 m 15 m  Compass traversing: Fore bearings and back bearings between the traverse leg are measured  Theodolite traversing: Horizontal angles between the traverse legs are measured. The length of the traverse legs are measured by chain/tape or by stadia method  Plane table traversing: Plane table is set at every traverse station in clockwise and anticlockwise direction and the circuit is finally closed. During traversing the sides of the traverse are plotted according to any suitable scale.
  • 10. Checks on traverse: Closed traverse  Check on closed traverse:  Sum of the measured interior angles (2n-4) x 90°  Sum of the measured exterior angles (2n+4) x 90 °  The algebric sum of the deflection angles should be equal to 360°. Right hand deflection is considered +ve, left hand deflection –ve  Check on linear measurement  The lines should be measured once each on two different days (along opposite directions). Both measurement should tally.  Linear measurement should also be taken by the stadia method. The measurement by chaining and stadia method should tally.
  • 11. Checks on traverse: Open traverse  Taking cut-off lines: measured the bearings and lengths of cut off lines after plotting and tally with actual values.  Taking an auxiliary point: Take P permanent point as auxiliary point measured bearings and lengths of P from each traverse point. If survey is accurate, while plotting all the measured bearing of P should meet at P.
  • 12. Problems:  Convert the following WCBs to QBs  (a) WCB of AB = 45°30’ (Ans 45°30’)  (b) WCB of BC = 125°45’ (Ans 180- 125°45’ = 54° 15’)  Fore bearing of the following lines are given. Find back bearing  AB=S 30°30’ E  BC=N 40°30’ W  The magnetic bearing of a line AB is 135°30’ what will be the true bearing, if the declination is 5°15’ W.
  • 14.
  • 16. Problems Included angle at A= 280-180-40=60 =FB of DA-180-FB of AB Included angle at B= 40+180-70= 150 =FB of AB+180-FB of BC Included angle at C= 70+180-210 =FB of BC+180-FB of CD Formula: FB of previous line+/-180- FB of next line