THEODOLITE SURVEYING
Theodolites are survey instruments
designed to measure horizontal and vertical angles precisely. In addition to
measuring horizontal and vertical angles, theodolites can also be used to mark
out straight and curved lines in the field.
Theodolites (also called transits) have
gone through three distinct evolutionary stages during the twentieth century:
1. The open-face, vernier-equipped
engineers’ transit (American transit; Figure G.8).
2. The enclosed, optical readout
theodolites with direct digital readouts, or micrometer equipped readouts (for
more precise readings; Figure 4.4).
3. The enclosed electronic theodolite
with direct readouts (Figure 1.7).
Most recent manufactured theodolites
are electronic, but many of the earlier optical instruments and even a few
vernier instruments still survive in the field (and in the classroom)— no doubt
a tribute to the excellent craftsmanship of the instrument makers. In past
editions
Of this text, the instruments were
introduced chronologically, but in this edition, the vernier transits and
optical theodolites are introduced last (in Appendix G) in recognition of their
fading importance.
The electronic theodolite will probably
be the last in the line of transits/theodolites. Because of the versatility and
lower costs of electronic components, future field instruments will be more like
the total station which combines all the features of a theodolite with the
additional capabilities of measuring horizontal and vertical distances
(electronically),
and storing all measurements, with
relevant attribute data, for future transfer to the computer.
By 2005, some total stations even
included a global-positioning system (GPS) receiver
Electronic Theodolites
Electronic
theodolites operate similarly to optical theodolites (Section G.4); one major difference
is that these instruments usually have only one motion (upper) and accordingly have
only one horizontal clamp and slow-motion screw.
Angle readouts can be to 1_,
with precision ranging from 0.5_ to 20_.
The surveyor should check the specifications of new instruments to determine
their precision, rather than simply accept the lowest readout as relevant (some
instruments with 1_ readouts may
be capable of only 5_ precision).
Digital
readouts eliminate the uncertainty associated with the reading and
interpolation of scale and micrometer settings. Electronic theodolites have
zero-set buttons for quick instrument orientation after the backsight has been
taken (any angular value can be set for the backsight).
Horizontal
angles can be turned left or right, and repeat-angle averaging
is available on some models. Figures 1.7 and
4.5 are typical of the more recently introduced theodolites.
The
display windows for horizontal and vertical angles are located at both the
front and rear of many instruments for easy access. Figure 1.7 shows the
operation keys and display area typical of many of these Instruments.
After turning on some instruments, the operator
must activate the vertical circle
by turning the telescope slowly through the
horizon; newer instruments don’t require this
referencing action. The vertical circle can
be set with zero at the zenith or at the horizon; the
factory setting of zenith can be changed by
setting the appropriate dip switch as described in
the instrument’s manual. The status of the
battery charge can be monitored on the display
panel, giving the operator ample warning of
the need to replace and/or recharge the battery.
Angle Measurement in Theodolite
Most
surveying measurements are performed at least twice; this repetition improves
precision and helps eliminate mistakes. Angles are usually measured at least
twice:
Once
with the telescope in its normal position and once with the telescope inverted.
After the theodolite has been set over a station, the angle measurement begins
by sighting the left hand (usually) target and clamping the instrument’s
horizontal motion. The target is then sighted precisely by using the fine
adjustment, or slow-motion screw.
The horizontal angle is set to zero by
pressing the zeroset button. Then the horizontal clamp is loosened and the
right-hand target sighted.
The clamp is tightened and the telescope
fine-adjusted onto the target. The hold button is pressed and the angle is read
and booked (pressing the hold button ensures that the original angle stays on
the instrument display until the surveyor is ready to measure the angle a
second time).
To
prepare to double the angle (i.e., measure the same angle a second time),
loosen
the clamp and transit the telescope. The
left-hand point is now resighted, as described
above. To turn the double angle, simply press
(release) the hold button, release the clamp,
and resight the right-hand target a second
time. After fine-adjusting on the target, the double angle is read and booked.
To obtain the mean angle, divide the double
angle by 2. See Figure 4.6 for typical field notes.
Typical
Specifications for Electronic Theodolites
The typical specifications for electronic
theodolites are listed below:
- Magnification:
26_ to 30_
- Field
of view: 1.5°
- Shortest viewing distance: 1.0 m Angle readout, direct: 1_ to 20_; accuracy: 1_ to 20_*
- Angle measurement, electronic and incremental: see Figure 45(b
- · Level sensitivity:
- Plate bubble vial—40_/2 mm
- Circular bubble vial—10_/2 mm
*Accuracies
are now specified by most surveying instrument manufacturers by reference to
DIN 18723. DIN (Deutsches Institut fur Normung) is known in English-speaking
countries as the German Institute for Standards.
These
accuracies are tied directly to surveying practice. For example, to achieve a
claimed accuracy (stated in
terms of 1 standard deviation) of _5
seconds, the surveyor must turn the angle four times (two on face 1 and two
with the telescope inverted on face 2). This practice assumes that collimation errors, centering errors, and the like have been eliminated before measuring the angles.
Electronic theodolites are quickly replacing
optical theodolites (which replaced the verniertransit). They are simpler to
use and less expensive to purchase and repair, and their use of electronic
components seems to indicate a continuing drop in both purchase and repair costs.
Some of these instruments have various
built-in functions that enable the operator to
perform other theodolite operations, such as
determining remote object elevation and distance between remote points .
The instrumentation technology is evolving so rapidly that most new instruments now on the market have been in production for only a year or two, and this statement has been valid since the early 1990s.
Theodolite station setup
1. Place the instrument over the point, with
the tripod plate as level as possible and with
two tripod legs on the downhill side, if
applicable.
2. Stand back a pace or two and see if the
instrument appears to be over the station. If it
does not appear centered, adjust the
location, and check again from a pace or two away.
3. Move to a position 90° opposed to the
original inspection location and repeat step 2.
(Note: This simple act of “eyeing-in” the instrument
from two directions, 90°
opposed, takes only seconds but could save a
great deal of time in the long run.)
4. Check to see that the station point can
now be seen through the optical plummet (or
that the laser plummet spot is reasonably
close to the setup mark) and then firmly
push in the tripod legs by pressing down on
the tripod shoe spurs. If the point is now
not visible in the optical plumb sight, leave
one leg in the ground, lift the other two
legs, and rotate the instrument, all the
while looking through the optical plumb sight.
When the point is sighted, carefully lower
the two legs to the ground, keeping the
station point in view.
5. While looking through the optical plummet
(or at the laser spot), manipulate the leveling
screws until the cross hair (bull’s-eye) of
the optical plummet or the laser spot
is directly on the station mark.
6. Level the theodolite circular bubble by
adjusting the tripod legs up or down. This
step is accomplished by noting which leg,
when slid up or down, would move the circular
bubble into the bull’s-eye. Upon adjusting
that leg, either the bubble will move
into the circle (the instrument is nearly
level) or it will slide around until it is exactly
opposite another tripod leg. That leg is then
adjusted up or down until the bubble
moves into the circle. If the bubble does not
move into the circle, adjust the leg until
the bubble is directly opposite another leg
and repeat the process. If this manipulation
has been done correctly, the bubble will be
centered after the second leg has
been adjusted; it is seldom necessary to
adjust the legs more than three times.
(Comfort can be taken from the fact that
these manipulations take less time to perform
than they do to read about!)
7. Perform a check through the optical
plummet or note the location of the laser spot to
confirm that it is still quite close to being
over the station mark.
8. Turn one (or more) leveling screw(s) to
ensure that the circular bubble is now centered
exactly (if necessary).
9. Loosen the tripod clamp bolt a bit and
slide the instrument on the flat tripod top
(if necessary) until the optical plummet or
laser spot is centered exactly on the station mark.
Retighten the tripod clamp bolt and reset the
circular bubble, if necessary. When sliding the instrument on the tripod top,
do not twist the instrument, but move it in a rectangular fashion. This
precaution ensures that the instrument will not go seriously off level if the
tripod top itself is not close to being level.
10. The instrument can now be leveled
precisely by centering the tubular bubble. Set the
tubular bubble so that it is aligned in the
same direction as two of the foot screws.
Turn these two screws (together or
independently) until the bubble is centered. Then
turn the instrument 90°; at this point, the
tubular bubble will be aligned with the third
leveling screw. Next, turn that third screw
to center the bubble. The instrument now
Should be level, although it is always
checked by turning the instrument through
180° and noting the new bubble location. See
Section 4.13.2 for adjustment procedures.
On instruments with dual-axis compensation,
final leveling can be achieved
by viewing the electronic display [Figure
5.24(b)] and then turning the appropriate
leveling screws. This latter technique is
faster because the instrument does not have
to be rotated repeatedly.

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