Building Layout
Chapter Preview
Introduction |
Table of Contents
| Back Cover
Chapter 1
The Transit
A transit is used to measure horizontal and vertical
angles. An engineer normally measures angles from the north-south meridian
in surveying, so the engineer's transit is equipped with a compass. The
builder's or contractor's transit, or transit-level, does not normally
include a compass because buildings are laid out from an existing fixed
point at or near the building site, such as the lot corner stake or
monument.
A theodolite is essentially a more precise transit.
Instead of a vernier scale, a theodolite is equipped with an optical
micrometer scale. This permits readings that are not possible on a vernier,
such as readings directly to 10" (0° 00' 10"). On some models the readings
are directly to one second (0° 00' 01"). Figure 7-15 shows the accuracy of
these readings. The theodolite has an optical plummet, and the sensitivity
of the level tube is usually 45”, or better. Theodolites are used where
precision work is essential.
The operation of a builder's transit (or
transit-level) is not complicated. You don't need an engineering degree or
any technical knowledge to use one. More and more trades are using them to
save time, cut costs, and insure accuracy in their work.
- Builders need them to
lay out foundations, plot lot lines, establish grades and excavations,
and for many other uses.
- Plumbers need them to
lay out sewer lines.
- Masons need them to
level walls and foundations.
- Concrete contractors
need them for grades on floors, driveways and walks.
- The list can include
farmers, landscapers and many others.
There are three main parts to any transit – the
telescope, the leveling vial, and the circle.
1. The telescope This is a precision optical
sighting device that produces a clear magnified image. The degree of
magnification of a telescope is called its power (x). For example, a 20x
telescope makes a distant object appear 20 times closer than if viewed
with the naked eye. Crosshairs in the telescope permit the object sighted
to be centered in the field of view. See Figure 1-1. The power of the
telescope can vary. The less expensive instruments have a lower power and
are used for shorter range. An 18x instrument is usually used in work up
to about 120 feet. A 26x instrument may be used for work up to 500 feet.
Telescopes come in one of two types: fixed lens or zoom lens, sometimes
called variable power type. The fixed lens type has a fixed power, such as
18x or 26x. The variable powers of the zoom lens type depend on the model
of the instrument; some adjust from 18x to 34x, others from 24x to 37x.
The advantage of the zoom lens is that it compensates for dim light and
changes in distance.
2. The leveling vial This is a bubble that
works like the bubble on a carpenter's level, but it is much more
sensitive and accurate. Leveling vials are available in various degrees of
sensitivity. For precision work use a more sensitive vial. A level vial
with a sensitivity of 90 seconds ( “ ) per 2 mm is more sensitive than one
whose sensitivity is 14 minutes ( ' ) per 2 mm. A vial with a sensitivity
of 45 seconds ( “ ) per 2 mm is more sensitive than one with a 90 seconds
( “ ) per 2 mm sensitivity. Level tube sensitivity is explained later in
the chapter.
3. The circle This is the plate on which the
telescope rotates. It is marked in degrees and has a vernier scale that
subdivides each degree in minutes on the better models. Instruments
designed for still greater precision have a vernier that further
subdivides each minute into seconds. Figure 7-15 shows what different
vernier readings mean in linear distance. Thus, a transit whose vernier
reads to 15 minutes can have a linear error of 5 ¼” in 100 feet. One whose
vernier reads to 5 minutes can have a linear error of 1 ¾" in 100 feet.
But the instrument with a vernier reading of 20 seconds may have a linear
error of only 1/8” in 100 feet. The theodolite is recommended for work
that requires greater precision than an instrument with a 20 second
vernier reading. See Figures 1-2 and 1-3. These are extremely precise
instruments.
The optical plummet is a device for centering
a transit over a point. It replaces the plumb bob used in most transits.
By sighting horizontally through a right angle prism, you see the point
over which the transit is centered. When the instrument is properly set up
it is directly over the mark. The optical plummet serves the same purpose
as a plumb bob, but is more accurate because it is not affected by the
wind.
Purchase the most precise transit you can afford.
You may not need that degree of precision now, but you probably will need
it later when your skills increase and you take on other types of jobs.
Since you use a transit for its accuracy, there is no substitute for an
accurate instrument regardless of the size of the job.
Figure 1-2 shows a transit with a 20 second vernier
reading. The divisions on the circle and vernier are very fine. It takes
practice to read a vernier with this precision. The circle and vernier in
this illustration read 8° 29' 40”.
Figure 1-3 shows two theodolites, each with a
micrometer scale. The T-308AT theodolite reads directly to 20 seconds on
the optical micrometer. Its horizontal (H) reading in the illustration is
285° 56' 20". The vertical (V) reading is 169° 36' 20". The T-208AT
theodolite reads directly to 10 seconds on the optical micrometer. The
horizontal reading shown is 268° 45' 50”. The vertical reading on the
T-208AT is 152° 25' 50". As shown in the illustration, both horizontal (H)
and vertical (V) circles are viewed simultaneously. This helps you make
error-free readings.
The right transit for you depends on your job
requirements. The range of the work and the accuracy required are two
factors you must consider before selecting any instrument. Be sure the
transit you select has the power, the precision, and the versatility you
need to meet all your requirements for the present and the future.
Level Tube Sensitivity
The more sensitive the level tube, the greater the
precision that may be obtained. A 75 second (") per 2 mm level tube is
approximately 60% more accurate than one with a sensitivity of 120 seconds
per 2 mm.
Level tubes are ground to specific radii. If the
radius is large, a small vertical movement on one end of the tube causes a
large displacement of the bubble. If the radius is small, the same
vertical movement causes only a small displacement of the bubble. Thus the
radius of the tube is a measure of its sensitivity. The more sensitive the
level tube, the longer it takes to center the bubble. A bubble that
travels more with small movement takes longer to settle with each movement
of the leveling screw. When the bubble moves even slightly on any transit,
you will see a movement in the line of sight as indicated by the
crosshairs in the field of vision.
Table 1-4 shows the radii of level tubes of
different sensitivities. The greater the precision of the transit, the
more sensitive is the level tube built into it. An instrument whose
vernier only reads to 15 minutes would probably have a level tube with a
sensitivity of 8 to 14 minutes (or 480"-840") per 2 mm. An instrument with
a 5 minute vernier reading would probably have a level tube whose
sensitivity would be from 90 to 120 seconds per 2 mm, and an instrument
with a 1 minute vernier reading would probably be in the 60 to 75 seconds
per 2 mm sensitivity range.
|
Sensitivity in seconds ( " ) per 2mm division
of level tube |
Radius of curvature in feet |
|
14' (840") |
1'-7" |
|
8' (480") |
2'-10" |
|
100" |
13'-6" |
|
90" |
15' |
|
75" |
18' |
|
60" |
23' |
|
45" |
30' |
|
30" |
45' |
|
20" |
68' |
|
Radii of Level Tubes of
Different Sensitivities
Table 1-4 |
The more precise instruments whose vernier or
optical micrometer scales read in the seconds would have level tubes in
the 20 to 45 seconds sensitivity range.
Level tube sensitivity is normally given as the
number of seconds of arc per 2 mm division on the tube. In most units, the
markings on the level tubes are 2 mm apart. This means that for each 2 mm
the bubble moves in the tube, it forms an angle equal to the sensitivity
of the arc given. So a level tube with a sensitivity of 45 seconds per 2
mm would form an angle of 45 seconds at a radius of 30 feet for each 2mm
division the bubble moves in the tube. A level tube with a sensitivity of
90 seconds per 2 mm would form an angle of 90 seconds at a radius of 15
feet for each 2 mm the bubble in the tube moves. See Figure 1-5. A tube
with a sensitivity reading of 8 minutes (480 seconds) would form an angle
of 08’ 00” at a radius of 2 feet 10 inches (2’-10”) with each 2 mm
movement of the bubble.
Setting Up The Transit
The transit is designed to produce precision work.
But if it is not set up and leveled properly, accurate work is impossible
regardless of how accurate the instrument is. Make sure your instrument is
in perfect adjustment before you follow the instructions below.
The transit is usually set up over a fixed point
such as a tack in a stake, an iron pin or a crossmark in a concrete
monument. The manual that comes with each transit gives step by step
instructions for setting up and leveling the instrument. They will not be
covered here, but you should know the reason for some of the operations
and how they can affect the accuracy of your work.
Set the tripod on firm ground and make sure the
tripod points are stuck well into the ground. If you are setting up on a
paved surface, be sure the points are secure. Position the tripod legs so
the center of the tripod head is approximately over the centering point
and the tripod head appears level. If the center of the tripod head is not
approximately over the point, centering the transit with the plumb bob or
optical plummet isn't possible. You must then reposition the tripod. If
the tripod head is too far out of level, the transit can not be leveled
with the leveling screws.
Leveling is the most important operation you perform
before you use your instrument. The accuracy in all readings and surveying
tasks requires a level instrument at all times. Figure 1-6 shows a serious
error due to an instrument out of level. Points A, B, and C have been
located. The instrument is set up over A to locate D. The line of
collimation (the line of sight when the telescope is at 0° elevation) is
perpendicular to the vertical axis. See Detail 1, Figure 1-6. The
instrument is set up over A, centered over the tack and properly leveled.
A 90° angle is turned from B, and D is located at the proper distance from
A. But after setting up at A, say the instrument is not level. See
Detail 1, Figure 1-6. The vertical axis is not centered over A,
even though the plumb bob might be. Instead it will be centered over
another point, a, resulting in an erroneous reading. This gives d
instead of D. As a result, the angles AdC and BCd are not
90° and the distance from C to d differs from that of B to A when
they should be the same.
Using a transit with an optical plummet provides a
faster and more accurate method of centering than the plumb bob. The wind
has no effect on the optical plummet; it can be a factor with the plumb
bob. Figure 1-7 shows the principle of the optical plummet. Line a-b
is parallel to the line of collimation of the telescope and is
perpendicular to b-c, which is the ray of light from the right
angle prism at b to the target at c. Therefore, if the
instrument is level when it is set up and centered at point A as shown in
Figure 1-6, sighting through the optical plummet a-b will center
the tack at A. If the instrument is not level, as shown in Detail 2,
Figure 1-6, the optical plummet will not be centered over A throughout a
complete 360° revolution. It will be centered on different points such as
a when the telescope is revolved. If this condition exists, recheck
the instrument for level and do not proceed with any readings until the
optical plummet is centered over the reference point throughout the entire
360°.
Introduction |
Table of Contents
| Back Cover
|