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ECET 2026 CIVIL

Day 6 Compass Survey & Errors – ECET 2026 Civil

Why this topic is important for ECET?

In ECET 2026 Civil, Surveying contributes a significant weightage. Among surveying methods, Compass Surveying is crucial because it deals with quick and large-scale surveys using a magnetic compass. Understanding types of bearings, methods of traversing, and sources of errors helps you solve both theory and numerical problems. Errors in compass readings are a common MCQ area, so mastering this topic ensures easy scoring.


📘 Concept Notes

1. Compass Survey Basics

  • Definition: Compass survey is a method where directions of survey lines are measured using a magnetic compass and lengths using a chain/tape.
  • Instruments used: Prismatic Compass, Surveyor’s Compass.

2. Types of Bearings

  • Whole Circle Bearing (WCB): Measured clockwise from North (0° to 360°).
  • Reduced Bearing (RB) or Quadrantal Bearing (QB): Measured from North or South towards East or West (0°–90°).

Conversion:

  • From WCB to RB:
    • If WCB between 0°–90° → NE
    • 90°–180° → SE
    • 180°–270° → SW
    • 270°–360° → NW

3. Fore Bearing (FB) & Back Bearing (BB)

  • Fore Bearing (FB): Bearing measured in the direction of survey line.
  • Back Bearing (BB): Bearing measured in the opposite direction.
  • Relationship:

 BB = FB \pm 180^\circ


4. Types of Compass Errors

  1. Instrumental Errors:
    • Improper adjustment of sighting vane, graduation errors, imperfect needle.
  2. Personal Errors:
    • Inaccurate centering, wrong reading, careless sighting.
  3. Natural Errors:
    • Local attraction due to magnetic materials, variation of magnetic declination, proximity of electric wires.

5. Local Attraction

  • When magnetic needle is disturbed by local magnetic sources (iron, steel, wires, etc.).
  • Detected if:
    • Difference between FB and BB is not exactly 180°.

6. Correction for Declination

  • Magnetic Declination (δ): Angle between magnetic meridian and true meridian.
  • True Bearing (TB):

 TB = Magnetic , Bearing \pm Declination


7. Traverse Computations

  • Closed traverse check:
    Sum of FB – Sum of BB = 0 (if free from local attraction).

⚙️ Formulas

 BB = FB \pm 180^\circ

 TB = Magnetic , Bearing \pm Declination

 WCB , Range = 0^\circ - 360^\circ

 RB , Range = 0^\circ - 90^\circ , (NE, SE, SW, NW)


🔟 10 MCQs

Q1. In whole circle bearing system, bearings are measured from:
a) South clockwise
b) North clockwise
c) South anticlockwise
d) North anticlockwise

Q2. If FB of a line is 75°, BB = ?
a) 75°
b) 255°
c) 285°
d) 105°

Q3. Reduced Bearing of 210° (WCB) is:
a) N 30° W
b) S 30° W
c) S 60° E
d) N 60° E

Q4. If FB = 45° and BB = 226°, what is indicated?
a) Correct observation
b) Local attraction
c) Declination
d) Instrumental error only

Q5. Prismatic compass reads:
a) WCB directly
b) RB directly
c) Both RB and WCB
d) Declination only

Q6. If the magnetic declination is 2°E and magnetic bearing is 100°, true bearing = ?
a) 98°
b) 100°
c) 102°
d) 120°

Q7. In compass surveying, length of line is measured using:
a) Compass only
b) Theodolite
c) Chain/tape
d) GPS

Q8. Local attraction is detected if:
a) FB – BB = 0°
b) FB – BB ≠ 180°
c) WCB = RB
d) None

Q9. Which is NOT a natural error?
a) Magnetic declination
b) Local attraction
c) Graduation error
d) Proximity of electric cables

Q10. If WCB of line = 300°, RB = ?
a) N 60° W
b) S 60° W
c) N 60° E
d) S 30° W


✅ Answer Key

QAnswer
1b
2b
3b
4b
5a
6c
7c
8b
9c
10a

🧠 Explanations

  • Q1: WCB measured clockwise from North → (b).
  • Q2: BB = FB + 180 = 75 + 180 = 255° → (b).
  • Q3: 210° lies in 180°–270° quadrant → S (210–180 = 30°) W → (b).
  • Q4: Normally FB–BB = 180°. Here = 181°, showing local attraction → (b).
  • Q5: Prismatic compass reads WCB directly → (a).
  • Q6: TB = MB + Declination = 100° + 2°E = 102° → (c).
  • Q7: Lengths measured by chain/tape → (c).
  • Q8: Local attraction when FB–BB ≠ 180° → (b).
  • Q9: Graduation error = instrumental error, not natural → (c).
  • Q10: 300° lies in 270°–360° quadrant → N (360–300 = 60°) W → (a).

🎯 Motivation / Why Practice Matters

In ECET 2026, Surveying problems are fast-scorable if you know conversions between bearings and error checks.

  • Compass survey questions are formula-based → low chance of error if you practice.
  • Common trap: mixing WCB and RB → practice ensures accuracy.
    👉 Mastering this topic gives you an edge in speed and correctness compared to other students.

📲 CTA

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