Levelling (Surveying)
1. Introduction to Levelling
Levelling is a branch of surveying that deals with measuring the vertical distance of a point relative to a
datum. It is used to determine the relative heights of different points on the earth's surface.
2. Purpose of Levelling
- To determine elevations of points
- For the construction of roads, canals, railways
- For contouring and mapping
3. Types of Levelling
- Differential Levelling
- Profile Levelling
- Reciprocal Levelling
- Fly Levelling
- Precise Levelling
- Trigonometrical Levelling
4. Instruments Used in Levelling
- Dumpy Level
- Tilting Level
- Automatic Level
- Leveling Staff
5. Important Terms
- Bench Mark (BM): Fixed reference point
- Back Sight (BS): Reading on a point of known elevation
- Fore Sight (FS): Reading on a point of unknown elevation
- Intermediate Sight (IS): Between BS and FS
Levelling (Surveying)
- Height of Instrument (HI): Elevation of the line of sight
- Reduced Level (RL): Height of a point relative to the datum
6. Methods of Levelling
- Height of Instrument Method
- Rise and Fall Method
7. Booking and Reduction of Levels
Levelling observations are entered into a level book in a tabular format, followed by reduction using either HI
or Rise and Fall method.
8. Common Errors in Levelling
- Instrumental errors
- Personal errors
- Natural errors (e.g., refraction, curvature)
9. Solved Example
Example:
BS on BM = 2.345 m, IS = 1.500 m, FS = 2.900 m
BM RL = 100.000 m
HI = 100.000 + 2.345 = 102.345 m
RL of IS = 102.345 - 1.500 = 100.845 m
RL of FS = 102.345 - 2.900 = 99.445 m
10. Important Formulas
- RL = HI - Staff Reading
- HI = RL of BM + BS
- Arithmetic Check:
Levelling (Surveying)
(Sum of BS) - (Sum of FS) = Last RL - First RL