islamic university of gaza civil engineering...
TRANSCRIPT
Islamic University of Gaza
Civil Engineering Department
Surveying II
ECIV 2332
By
Belal Almassri
Chapter 6
Electronic Distance Measurement
EDM
- Introduction.
- Electro-Optical Instrument.
- Microwave Instrument.
- Types of Mounts.
- Operating Procedure.
- Trigonometric Levelling.
- Corrections and Examples.
Introduction Definition:
A surveying instrument that utilizes an infrared or laser beam to measure the distance from the source point to a defined target point.
Main Types:
1. Electro-Optical Instruments: Use the light and infrared waves.
2. Microwave Instruments: Use the radio waves.
Electro-optical Instruments
Use the velocity of light waves to determine
the distance between two points.
Those instruments use both the visible lights
(wavelength between 0.4-0.7) and the
infrared lights (wavelength between 0.7-1.2).
Infrared light much preferable because of
the long wavelength.
Source of light: Mercury lambs, Tungsten.
Electro-optical Principle
S = Slope Distance.
V = Velocity of Light.
T = Travel Time.
Microwave Instruments
Wave length λ = distance travelled during the period of one cycle.
V = Velocity of emission
F = Frequency in HZ
Disadvantages of Microwave Type
Two operators are needed to measure a
line.
Sometimes there is difficulty to set up
two units on both sides.
The accuracy is affected by the
atmosphere.
Less accuracy than the electro-optical
type.
Types of Mounts
In General the EDM can be mounted alone
or with another surveying tool, the most
popular types as follows:
Separate unit for (20-60 km).
On top of standards of theodolite.
On top of telescope of theodolite.
Integral part of Total Station.
Retro Reflectors
The reflectors used with the electro-
optical type are called the retro-reflector
using precise prisms which can be single
or multiple.
The max distance of measurement of
EDM device depends on: The design, The
quality and number of prisms, The
atmospheric conditions.
Operating Procedure
Set up the instrument over the survey station and record its height HI and set up the reflector on the other side.
Point the instrument toward the reflector using the telescope.
Adjust the pointing of tangents using the screws of the instrument.
Read and record the Temperature, ATM pressure then press the correction button.
Press measure and record the reading.
Corrections for zero centering
The constant error appears in all distances measured by the combination of instrument and reflector.
If AB’ is the measured distance between two points and so AC’, CB’
The corrected AB = AB’ + c (correction)
c = AB’ – AC’ – CB’
Correction for frequency
g = f ’ / f
f ’ : measured frequency.
f : theoretical frequency.
AB (corrected) = g. AB’(actual) + c
Example 6.1 + 6.2
Trigonometric Levelling – Short Line
Def: It is the process of determining the
height difference between two points
using the measured distances and vertical
angles.
Example 6.6
Δh = hB – hA = s.cosz + i – t
Terms:
S=Slope Distance, z=Vertical Angle.
i=The height of the instrument.
t=The height of the sight target.
In case of EDM mounted on top of the
standards of the theodolite , the
measured slope distance may not coincide
with the line of sight in the angular
measurement. So the following procedure
is followed at that case:
1. Find the angle difference Δz.
Δz = 180(HI-i+t-HT)sinz
Π. S
2. Find the corrected angle Z’=Z+ Δz
3. Find the height difference
ΔH = HB-HA= S.cos Z’ + HI - HT
Example 6.7
Example 6.8
Where HI and HT = Height measurement
of the instrument and the reflector of the
EDM device.
Extra Practice !EDM has slope distance AB of 561.276 m.
EDM instrument is 1.820 m above station
A, and the prism is 1.986 m above station
B. The EDM is mounted on a theodolite
whose optical center is 1.720 m above the
station. The theodolite measured a vertical
angle of +6º 21’ 38” to target on prism
pole; the target is 1.810 m above station B.
Compute both the horizontal distance AB
and elevation of station B given an
elevation at A of 186.275 m.
Solution !