Skip to main content

Bearings and local attraction explained

Short answer

Whole circle bearing measures clockwise from north 0–360°. Quadrantal bearing is acute angle from north/south toward east/west (e.g., N40°E). Fore bearing is along survey, back bearing opposite, differing by 180°. Local attraction is magnetic needle deviation from nearby objects, causing equal error at a station.

What are quadrantal and whole circle bearings, fore and back bearings, and local attraction in compass survey? Explain.

Whole circle bearing (WCB)

The bearing of a line measured clockwise from the north end of the meridian, 0∘0^\circ to 360∘360^\circ. Example: a line pointing south-west may have WCB 225∘225^\circ. This is the system of the prismatic compass.

Quadrantal bearing (QB), or reduced bearing

The acute angle (0∘0^\circ to 90∘90^\circ) between the line and the nearer end (north or south) of the meridian, measured towards east or west. It is written with the quadrant letters, e.g. N 40° E, S 30° W. This is the system of the surveyor's compass.

WCB rangeQuadrantQB
0∘0^\circ–90∘90^\circNEN θ\theta E, θ\theta = WCB
90∘90^\circ–180∘180^\circSES θ\theta E, θ=180∘−\theta = 180^\circ - WCB
180∘180^\circ–270∘270^\circSWS θ\theta W, θ\theta = WCB −180∘- 180^\circ
270∘270^\circ–360∘360^\circNWN θ\theta W, θ=360∘−\theta = 360^\circ - WCB

Fore bearing (FB) and back bearing (BB)

The bearing of a line in the direction of progress of the survey is its fore bearing; the bearing of the same line in the opposite direction is its back bearing. They differ by exactly 180∘180^\circ:

BB=FB±180∘\text{BB} = \text{FB} \pm 180^\circ

Use ++ if FB <180∘< 180^\circ and −- if FB >180∘> 180^\circ. Example: FB of AB = 65∘30′65^\circ 30', BB = 245∘30′245^\circ 30'.

Local attraction

The deviation of the magnetic needle from the magnetic meridian caused by magnetic substances near the station, such as iron objects, steel structures, power lines, or rocks containing iron ore. Bearings observed at an affected station are in error by the same amount.

  • Detection: the FB and BB of a line differ by 180∘180^\circ if neither end is affected; otherwise one or both stations are affected.
  • Correction: (i) the line with FB − BB = 180∘180^\circ is taken as free; bearings of the other lines are corrected station by station from it, or (ii) the included-angle method is used, because the angle at an affected station is not affected.

✓ Answer checked by Claude Opus 5.5 (high effort)

All Surveying I chapter 4 questions →