21.1 Dimension measurement
Dimension measurement includes
measurement of the length, width and height of components and also the depth of
holes and slots. Tapes and rules are commonly used to give approximate
measurements, and various forms of calliper and micrometer are used where more
accurate measurements are required. Gauge blocks and length bars are also used
when very high accuracy is required, although these are primarily intended for
calibration duties.
A flat and level reference plane, on
which components being measured are placed, is often essential in dimension
measurement. Such reference planes are available in a range of standard sizes,
and a means of adjusting the feet is always provided to ensure that the surface
is exactly level. Smaller sizes exist as a surface plate resting on a
supporting table, whereas larger sizes take the form of free standing tables
that usually have a projection at the edge to facilitate the clamping of
components. They are normally used in conjunction with box cubes and vee blocks
(see Figure 21.1) that locate components in a fixed position. In modern tables,
granite has tended to supersede iron as the preferred material for the plate,
although iron plates are still available. Granite is ideal for this purpose as
it does not corrode, is dimensionally very stable and does not form burrs when
damaged. Iron plates, on the other hand, are prone to rusting and susceptible
to damage: this results in burrs on the surface that interfere with measurement
procedures.
21.1.1 Rules and tapes
Rules and tapes are the simplest way
of measuring larger dimensions. Steel rules are generally only available to
measure dimensions up to 1 metre. Beyond this, steel tapes (measuring to 30 m)
or an ultrasonic rule (measuring to 10 m) are used.
The steel rule is undoubtedly the
simplest instrument available for measuring length. Measurement accuracy is
only modest using standard rules, which typically have rulings at 0.5 mm
intervals, but the best rules have rulings at 0.05 mm intervals and a
measurement resolution of 0.02 mm. When used by placing the rule against an
object, the measurement accuracy is much dependent upon the skill of the human
measurer and, at best, the inaccuracy is likely to be at least ±0.5%.
The retractable steel tape is another
well-known instrument. The end of the tape is usually provided with a flat hook
that is loosely fitted so as to allow for automatic compensation of the hook
thickness when the rule is used for internal measurements. Again, measurement
accuracy is governed by human skill, but, with care, the measurement inaccuracy
can be made to be as low as š0.01% of full-scale reading.
The ultrasonic rule consists of an ultrasonic
energy source, an ultrasonic energy detector and battery-powered, electronic
circuitry housed within a hand-held box, as shown in Figure 21.2. Both source
and detector often consist of the same type of piezoelectric crystal excited at
a typical frequency of 40 kHz. Energy travels from the source to a target
object and is then reflected back into the detector. The time of flight of this
energy is measured and this is converted into a distance reading by the
enclosed electronics. Maximum measurement inaccuracy of ±1% of the full-scale
reading is claimed. This is only a modest level of accuracy, but it is
sufficient for such purposes as measuring rooms by estate agents prior to
producing sales literature, where the ease and speed of making measurements is
of great value.
A fundamental problem in the use of
ultrasonic energy of this type is the limited measurement resolution (7 mm)
imposed by the 7 mm wavelength of sound at this frequency. Further problems are
caused by the variation in the speed of sound with humidity (variations of ±0.5%
possible) and the temperature-induced variation of 0.2% per °C. Therefore, the
conditions of use must be carefully controlled if the claimed accuracy figure
is to be met.
21.1.2 Callipers
Callipers are generally used in
situations where measurement of dimensions using a rule or tape is not accurate
enough. Two types exist, the standard calliper and the vernier calliper.
Figure 21.3 shows two types of
standard calliper. The range of measurement, according to the version used, is
up to 600 mm. These are used to transfer the measured dimension from the
workpiece to a steel rule. This avoids the necessity to align the end of the
rule exactly with the edge of the workpiece and reduces the measurement
inaccuracy by a factor of two. In the basic calliper, careless use can allow
the setting of the calliper to be changed during transfer from the workpiece to
the rule. Hence, the spring-loaded type, which prevents this happening, is
preferable.
The vernier calliper, shown in Figure
21.4(a), is a combination of a standard calliper and a steel rule. The main
body of the instrument includes the main scale with a fixed anvil at one end.
This carries a sliding anvil that is provided with a second, vernier scale.
This second scale is shorter than the main scale and is divided into units that
are slightly smaller than the main scale units but related to them by a fixed
factor. Determination of the point where the two scales coincide enables very
accurate measurements to be made, with typical inaccuracy levels down to ±0.01%.
Figure 21.4(b) shows details of a
typical combination of main and vernier scales. The main scale is ruled in 1 mm
units. The vernier scale is 49 mm long and divided into 50 units, thereby
making each unit 0.02 mm smaller than the main scale units. Each group of five
units on the vernier scale thus differs from the main scale by 0.1 mm and the
numbers marked on the scale thus refer to these larger units of 0.1 mm. In the
particular position shown in the figure, the zero on the vernier scale is
indicating a measurement between 8 and 9 mm. Both scales coincide at a position
of 6.2 (large units). This defines the interval between 8 and 9 mm to be 6.2 ×
0.1 = 0.62 mm, i.e. the measurement is 8.62 mm.
Intelligent digital callipers are now
available that give a measurement resolution of 0.01 mm and a low inaccuracy of
š0.03 mm. These have automatic compensation for wear, and hence calibration
checks have to be very infrequent. In some versions, the digital display can be
directly interfaced to an external computer monitoring system.
21.1.3 Micrometers
Micrometers provide a means of
measuring dimensions to high accuracy. Different forms provide measurement of
both internal and external dimensions of components, and of holes, slots etc.
within components. In the standard micrometer, shown in Figure 21.5(a),
measurement is made between two anvils, one fixed and one that is moved along
by the rotation of an accurately machined screw thread. One complete rotation
of the screw typically moves the anvil by a distance of 0.5 mm. Such movements
of the anvil are measured using a scale marked with divisions every 0.5 mm
along the barrel of the instrument. A scale marked with 50 divisions is etched
around the circumference of the spindle holder: each division therefore
corresponds to an axial movement of 0.01 mm. Assuming that the user is able to
judge the position of the spindle on this circular scale against the datum mark
to within one-fifth of a division, a measurement resolution of 0.002 mm is
possible.
The most common measurement ranges
are either 0–25 mm or 25–50 mm, with inaccuracy levels down to ±0.003%.
However, a whole family of micrometers is available, where each has a
measurement span of 25 mm, but with the minimum distance measured varying from
0 mm up to 575 mm. Thus, the last instrument in this family measures the range
from 575 to 600 mm. Some manufacturers also provide micrometers with two or
more interchangeable anvils, which extend the span measurable with one
instrument to between 50 mm and 100 mm according to the number of anvils
supplied. Therefore, an instrument with four anvils might for instance measure
the range from 300 mm to 400 mm, by making appropriate changes to the anvils.
The internal micrometer (see Figure
21.5(b)) is able to measure internal dimensions such as the diameters of holes.
In the case of measuring holes, micrometers are inaccurate if there is any
ovality in the hole, unless the diameter is measured at several points. An
alternative solution to this problem is to use a special type of instrument
known as a bore micrometer (Figure 21.5(c)). In this, three probes move out
radially from the body of the instrument as the spindle is turned. These probes
make contact with the sides of the hole at three equidistant points, thus
averaging out any ovality.
Intelligent micrometers in the form
of the electronic digital micrometer are now available. These have a
self-calibration capability and a digital readout, with a measurement
resolution of 0.001 mm (1 micron).
21.1.4 Gauge blocks (slip gauges) and
length bars
Gauge blocks, also known as slip
gauges (see Figure 21.6(a)), consist of rectangular blocks of hardened steel
that have flat and parallel end faces. These faces are machined to very high
standards of accuracy in terms of their surface finish and flatness. The
purpose of gauge blocks is to provide a means of checking whether a particular
dimension in a component is within the allowable tolerance rather than actually
measuring what the dimension is. To do this, a number of gauge blocks are
joined together to make up the required dimension to be checked. Gauge blocks
are available in five grades of accuracy known as calibration, 00, 0, 1 and 2.
Grades 1 and 2 are used for normal production and inspection measurements, with
the other grades being intended only for calibration procedures at various
levels.
Gauge blocks are available in boxed
sets containing a range of block sizes, which allows any dimension up to 200 mm
to be constructed by joining together an appropriate number of blocks. Whilst
200 mm is the maximum dimension that should be set up with gauge blocks alone,
they can be used in conjunction with length bars to set up much greater
standard dimensions. Blocks are joined by ‘wringing’, a procedure in which the
two end faces are rotated slowly against each other. This removes the air film
and allows adhesion to develop by intermolecular attraction. Adhesion is so
good in fact that, if groups of blocks were not separated within a few hours,
the molecular diffusion process would continue to the point where the blocks
would be permanently welded together. The typical interblock gap resulting from
wringing has been measured as 0.001 µm, which is effectively zero. Thus, any
number of blocks can be joined without creating any significant measurement
error. It is fairly common practice with blocks of grades 0, 1 and 2 to include
an extra pair of 2 mm thick blocks in the set that are made from wear-resisting
tungsten carbide. These are marked with a letter P and are designed to protect
the other blocks from wear during use. Where such protector blocks are used,
due allowance has to be made for their thickness (4 mm) in calculating the
sizes of block needed to make up the required length.
A necessary precaution when using
gauge blocks is to avoid handling them more than is necessary. The length of a
bar that was 100 mm long at 20°C would increase to 100.02 mm at 37°C (body
temperature). Hence, after wringing bars together, they should be left to
stabilize back to the ambient room temperature before use. This wait might need
to be several hours if the blocks have been handled to any significant extent.
Where a greater dimension than 200 mm
is required, gauge blocks are used in conjunction with length bars (Figure
21.6(b)). Length bars consist of straight, hardened, high-quality steel bars of
a uniform 22 mm diameter and in a range of lengths between 100 mm and 1200 mm.
They are available in four grades of accuracy, reference, calibration, grade 1
and grade 2. Reference and calibration grades have accurately flat end faces,
which allows a number of bars to be wrung together to obtain the required standard
length. Bars of grades 1 and 2 have threaded ends that allow them to be screwed
together. Grade 2 bars are used for general measurement duties, with grade 1 bars
being reserved for inspection duties. By combining length bars with gauge
blocks, any dimension up to about 2 m can be set up with a resolution of 0.0005
mm.
21.1.5 Height and depth measurement
The height of objects and the depth
of holes, slots etc. are measured by the height gauge and depth gauge
respectively. A dial gauge is often used in conjunction with these instruments
to improve measurement accuracy. The height gauge, shown in Figure 21.7(a),
effectively consists of a vernier calliper mounted on a flat base. Measurement
inaccuracy levels down to ±0.015% are possible. The depth gauge (Figure
21.7(b)) is a further variation on the standard vernier calliper principle that
has the same measurement accuracy capabilities as the height gauge.
In practice, certain difficulties can
arise in the use of these instruments where either the base of the instrument is
not properly located on the measuring table or where the point of contact
between the moving anvil and the workpiece is unclear. In such cases, a dial
gauge, which has a clearly defined point of contact with the measured object,
is used in conjunction with the height or depth gauge to avoid these possible
sources of error. These instruments can also be obtained in intelligent
versions that give a digital display and have self-calibration capabilities.
The dial gauge, shown in Figure
21.8(a), consists of a spring-loaded probe that drives a pointer around a
circular scale via rack and pinion gearing. Typical measurement resolution is
0.01 mm. When used to measure the height of objects, it is clamped in a retort
stand and a measurement taken of the height of the unknown component. Then it
is put in contact with a height gauge (Figure 21.8(b)) that is adjusted until
the reading on the dial gauge is the same. At this stage, the height gauge is
set to the height of the object. The dial gauge is also used in conjunction
with the depth gauge in an identical manner. (Gauge blocks can be used instead
of height/depth gauges in such measurement procedures if greater accuracy is
required.)
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