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6. Methods of vertical measurements

Definitions

Measurement methods

  1. levelling (optical, hydrostatic)
  2. trigonometrical height measurement
  3. physical methods

Levelling

In case of levelling a tangential line (or plane) of the equipotential surface is created by a suitable instrument. The instrument is called the surveyors’ level.

Principle of leveling

hydrostatic (based on the principle of communicating vessels)


optical:


Reading on the leveling staff: Reading1, reading2, reading3, reading4

Getting the height difference:   \Delta h_12= h_1-h_2

Type of levels

  • tilting level
  • automatic level

Major error sources - way of elimination

  • collimation error - adjust your instrument on a regular basis
  • tilting of the staff - use circulare bubble on the staff
  • atmospheric effects - avoid strong sunshine, instable atmosphere
  • settlement of the staff - use change plate

Aim of levelling: determine (1) new control points or (2) detail points.

Levelling methods

  • line levelling

  • long and cross sectional levelling

  • grid levelling

  • detail point levelling

Trigonometric heighting

Principle, figure and formula


 RL_P=RL_A+IH+ \Delta h-TH

where

  \Delta h= \frac{HD}{tan(z)}

or

  \Delta h=SD \cdot cos(z)

Advantages and disadvantages compared to levelling

Measurement of the height of buildings using trigonometric heighting


Barometer for height measurement

Read the Bohr's story