IMPORTANCE OF LEVELLING IN SURVEYING
Levelling (or Levelling) is a branch of
surveying, the object of which is:
i) to find the elevations of given points with respect to a given or assumed datum, and ii) to establish points at a given or assumed datum.
The first operation is required to enable the works to be designed while the second operation is required in the setting out of all kinds of engineering works. Levelling deals with measurements in a vertical plane.
i) to find the elevations of given points with respect to a given or assumed datum, and ii) to establish points at a given or assumed datum.
The first operation is required to enable the works to be designed while the second operation is required in the setting out of all kinds of engineering works. Levelling deals with measurements in a vertical plane.
Level
surface: A level surface is defined as a curved
surface which at each point is perpendicular to the direction of gravity at the
point. The surface of a still water is a truly level surface. Any surface
parallel to the mean spheroidal surface of the earth is, therefore, a level
surface.
Level
line: A level line is a line lying in a level
surface. It is, therefore, normal to the plumb line at all points.
Horizontal
plane: Horizontal plane through a point is a plane
tangential to the level surface at that point. It is, therefore, perpendicular
to the plumb line through the point.
Horizontal
line: It is a straight line tangential to the level
line at a point. It is also perpendicular to the plumb line.
Vertical
line: It is a line normal to the level line at a
point. It is commonly considered to be the line defined by a plumb line.
Datum: Datum is any surface to which elevation are referred. The mean sea
level affords a convenient datum world over, and elevations are commonly given
as so much above or below sea level. It is often more convenient, however, to
assume some other datum, specially, if only the relative elevation of points is
required.
Elevation: The elevation of a point on or near the surface of the earth is
its vertical distance above or below an arbitrarily assumed level surface or
datum. The difference in elevation between two points is the vertical distance
between the two level surface in which the two points lie.
Vertical
angle: Vertical angle is an angle between two
intersecting lines in a vertical plane. Generally, one of these lines is
horizontal.
Mean
sea level: It is the average height of the sea for all
stages of the tides. At any particular place it is derived by averaging the
hourly tide heights over a long period of 19 years.
Bench
Mark: It is a relatively permanent point of
reference whose elevation with respect to some assumed datum is known. It is
used either as a starting point for levelling or as a point upon which to close
as a check.
Methods of levelling
Three principle methods are used for determining differences in
elevation, namely, barometric levelling, trigonometric levelling and spirit
levelling.
Barometric levelling
Barometric levelling makes use of the phenomenon that difference in
elevation between two points is proportional to the difference in atmospheric
pressures at these points. A barometer, therefore, may be used and the readings
observed at different points would yield a measure of the relative elevation of
those points.
At a given point, the atmospheric pressure doesn’t remain constant in
the course of the day, even in the course of an hour. The method is, therefore,
relatively inaccurate and is little used in surveying work except on
reconnaissance or exploratory survey.
Trigonometric Levelling (Indirect
Levelling)
Trigonometric or Indirect levelling is the process of levelling in which
the elevations of points are computed from the vertical angles and horizontal
distances measured in the field, just as the length of any side in any triangle
can be computed from proper trigonometric relations. In a modified form called
stadia levelling, commonly used in mapping, both the difference in elevation
and the horizontal distance between the points are directly computed from the
measured vertical angles and staff readings.
Spirit Levelling (Direct Levelling)
It is that branch of levelling in which the vertical distances with
respect to a horizontal line (perpendicular to the direction of gravity) may be
used to determine the relative difference in elevation between two adjacent
points. A horizontal plane of sight tangent to level surface at any point is
readily established by means of a spirit level or a level vial. In spirit
levelling, a spirit level and a sighting device (telescope) are combined and
vertical distances are measured by observing on graduated rods placed on the
points. The method is also known as direct levelling. It is the most precise
method of determining elevations and the one most commonly used by engineers.
Levelling Instruments
The instruments commonly used in direct levelling are:
1. A level
2. A levelling staff
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