The following information must be read and understood
by any user of a StressTel measurement instrument.
Failure to follow these instructions can lead to errors in
stress measurements or other test results. Decisions
based on erroneous results can, in turn, lead to property damage, personal injury or death. StressT el assumes
no responsibility for the improper or incorrect use of this
instrument.
General Warnings
Proper use of ultrasonic test equipment requires three
essential elements:
•Selection of the correct test equipment
•Knowledge of the specific “test application require-
ments”
•Training on the part of the instrument operator
This operating manual provides instruction in the basic
set-up and operation of the StressTel BoltMike III measurement instrument. There are, however, additional factors which affect the use of ultrasonic test equipment.
Specific information regarding these additional factors
is beyond the scope of this manual. The operator should
refer to textbooks on the subject of ultrasonic testing for
more detailed information.
Operator Training
Read the information in this manual prior to use of a
StressT el instrument. Failure to read and understand the
following information could cause errors to occur during
use of the instrument. Failure to follow these instructions can lead to error in stress measurement or other
test results. Decisions based on erroneous results can,
in turn, lead to property damage, personal injury or death.
Operators must receive adequate training before using
ultrasonic test equipment. Operators must be trained in
general ultrasonic testing procedures and in the set-up
required before conducting a particular test. Operators
must understand:
•Soundwave propagation theory
•Effects of the velocity at which sound moves
through the test material
More specific information about operator training, qualification, certification and test specifications is available
from various technical societies, industry groups, and
government agencies.
Testing Limitations
Information collected as a result of ultrasonic testing represents only the condition of test-piece material that is
exposed to the sound beam. Operators must exercise
great caution in making inferences about the test material not directly exposed to the instrument’s sound beam.
When a less-then-complete inspection is to be performed, the operator must be shown the specific areas
to inspect. Inferences about the condition of areas not
inspected, based on data from evaluated areas, should
only be attempted by personnel fully trained in applicable techniques of statistical analysis.
Sound beams reflect from the first interior surface encountered. Operators must take steps to ensure that the
entire thickness of the test material is being examined.
Calibrating the instrument/transducer combination is
particularly important when the test piece is being ultrasonically tested for the first time or in any case where
the history of the test piece is unknown.
Transducer Selection
The transducer used in testing must be in good condition without noticeable wear of its contact surface. Badly
worn transducers will have a reduced effective measuring range. The temperature of the material to be tested
must be within the transducer’s temperature range. If
the transducer shows any signs of wear it should be replaced.
•Soundwave propagation theory
•Effects of the velocity at which sound moves
through the
test material
•Behavior of the sound wave
•Which areas are covered by the sound beam
More specific information about operator training, qualification, certification and test specifications is available
from various technical societies, industry groups, and
government agencies.
•Behavior of the sound wave
•Which areas are covered by the sound beam
Guide to Ultrasonic Inspection of FastenersPage iii
Important Notice
Testing Limitations
Information collected as a result of ultrasonic testing represents only the condition of test-piece material that is
exposed to the sound beam. Operators must exercise
great caution in making inferences about the test material not directly exposed to the instrument’s sound beam.
When a less-then-complete inspection is to be performed, the operator must be shown the specific areas
to inspect. Inferences about the condition of areas not
inspected, based on data from evaluated areas, should
only be attempted by personnel fully trained in applicable techniques of statistical analysis.
Sound beams reflect from the first interior surface encountered. Operators must take steps to ensure that the
entire thickness of the test material is being examined.
Calibrating the instrument/transducer combination is
particularly important when the test piece is being ultrasonically tested for the first time or in any case where
the history of the test piece is unknown.
Transducer Selection
The transducer used in testing must be in good condition without noticeable wear of its contact surface. Badly
worn transducers will have a reduced effective measuring range. The temperature of the material to be tested
must be within the transducer’s temperature range. If
the transducer shows any signs of wear it should be replaced.
Page iv Guide to Ultrasonic Inspection of Fasteners
Guide to Ultrasonic Inspection of Fasteners Page v
Important Notice
Page vi Guide to Ultrasonic Inspection of Fasteners
Chapter 1: Ultrasonic Measurement of Fasteners
Chapter 1: Ultrasonic Measurement of Fasteners
When threaded fastening systems (comprised of a bolt
or stud and a nut) are tightened, the threaded fastener
is said to be tensioned. The tensioning force in the fastener (identified in the BoltMike as its load) is equal to
the fastening system’s clamping force.
The BoltMike determines the load on a fastener by measuring the amount of time it takes for a sound wave to
travel along a fastener’s length, before and after a
tensioning force is applied to the fastener. The fastener
material’s acoustic velocity, together with difference in
the measured times, allows the instrument to calculate
the change in fastener length under the tensile load.
Provided the fastener’s dimensional and material properties are known, and the constants that represent the
material properties are entered into the instrument, the
BoltMike will calculate the load and stress present when
the fastener is in its tensioned state.
1.1Important Concepts
To best understand exactly how ultrasonic sound waves
are used to determine loads, stress, and elongation of
threaded-fasteners, it is necessary that you understand
the concepts described in this section. Chapter 8 lists
the actual formulas used by the BoltMike to calculate
many of the quantities described below.
1.1.1Acoustic Velocity
Applying a large electric pulse to a piezoelectric element
in a transducer creates an ultrasonic shock wave. This
type of shock wave, known as longitudinal wave, travels
through a fastener at a speed equal to the fastener
material’s acoustic velocity. A material’s acoustic velocity represents the speed with which sound moves through
it. All materials have a representative acoustic velocity
but true velocity can vary from one sample to another
(of the same material type) and even throughout the
material in a particular sample. It is important to realize
that the actual acoustic velocity is not truly a constant.
Instead, it varies between fasteners of like material, even
when the fastener’s material composition is tightly
controlled.
1.1.2The Use of Ultrasound
The ultrasonic wave is transmitted from a transducer into
the end of a fastener . When the ultrasonic wave encounters an abrupt change in density, such as the end of the
fastener, most of the wave reflects. This reflection travels back the length of the fastener and back into the
transducer. When the shock wave re-enters the piezoelectric element a small electrical signal is produced. This
signal is represented on the BoltMike’s display panel by
the triggering of a measurement gate. This signal is used
by the BoltMike to indicate the returning wave.
(Figure 1-1)
FIGURE 1-1—The BoltMike determines the length of a fastener by measuring how long it takes for sound to travel its
length.
Guide to Ultrasonic Inspection of Fasteners Page 1
Chapter 1: Ultrasonic Measurement of Fasteners
1.1.3Initial Pulse and Multi-Echo Measurement
Modes
The BoltMike III can be operated in one of two ultrasonic
measurement modes: initial pulse (I.P.) and multi-echo
(M.E.). In I.P . mode, as illustrated in Figure 1-2A, a sound
pulse is sent through the fastener. The BoltMike’s
triggering gate is positioned (based on the userinputted value of the fastener’s approximate length) to
detect this sound pulse’s first returning echo. The
BoltMike measures the time duration between transmitting and receiving the sound pulse, and uses this value
as the basis for its calculations.
In M.E. measurement mode, a sound pulse is again transmitted into the fastener. This time, however, the BoltMike
utilizes two triggering gates. These gates are positioned
so that the first returning echo triggers the first gate,
and the second returning echo triggers the second gate.
The gates are again positioned based on the user-in-
putted value of the fastener’s approximate length. In this
mode the BoltMike measures the time duration between
triggering of the two gates by two consecutive echoes. It
is critical, however, that similar features on the two consecutive packets be used to trigger the gates.
An advantage of operating in M.E. mode is that all measurements are taken between the first and second returning echoes. This means that variations in transducerto-fastener coupling (caused, for instance, by varying
couplant thickness) and instrument zeroing are factored
out of the BoltMike’s measurement. This is shown in
Figure 1-2B.
1.1.4Time of Flight and Ultrasonic Length
The elapsed time between transmitting and receiving the
shock wave is known as the sound-path duration. Of
course, as shown in Figure 1-1, the sound-path duration actually represents the elapsed time taken by the
FIGURE 1-2—In Initial Pulse (I.P.) mode, the BoltMike measures the time to the first gate triggering. In Multi-Echo
mode the time between two consecutive gate crossings is measured.
Page 2 Guide to Ultrasonic Inspection of Fasteners
Chapter 1: Ultrasonic Measurement of Fasteners
wave to travel the length of the fastener two times. This
duration is divided by two to find the time of flight (TOF),
which represents the time it takes for the shock wave to
travel once down the length of the fastener. The BoltMike
then determines the
ultrasonic length
by first correcting
the measured TOF for any changes in temperature, and
then multiplying by the fastener’s acoustic velocity . Acoustic velocity is represented in the BoltMike with the variable V and is determined by the fastener’s material type).
Further corrections (as described below) are then made
to this ultrasonic length to determine a measured physical length.
Because the actual acoustic velocity is not truly a constant, the uncorrected ultrasonic length is not exactly
the same as the physically measured length. Even if two
identical fasteners’ physical lengths are very tightly controlled, the measured time of flight through each fastener may vary by as much as one percent. Because of
this variability, the
change
in measured time of flight (recorded before and after each fastener is tensioned) must
be used to accurately determine the tensile stress in a
fastener. As you will learn shortly, acoustic velocity also
varies with factors other than material type including
stress (sections 1.1.9) and temperature (section 1.1.10).
For this reason the BoltMike incorporates logic to compensate for these effects on ultrasonic length.
1.1.5Tensile Load
As you may be aware, when the nut in a threaded fastening system is tightened, the clamping force the fastening system (nut and bolt or stud) places on the joint
is equal to the tensile load placed on the fastener. This
effect is shown in Figure 1-3. The BoltMike calculates
Load (L) by first determining tensile stress (as described
below), then multiplying by the fastener’s cross-sectional
area.
FIGURE 1-3—As the threaded fastening system is tightened, tensile loads are applied to the bolt or stud and
elongation occurs.
Guide to Ultrasonic Inspection of Fasteners Page 3
Chapter 1: Ultrasonic Measurement of Fasteners
1.1.6Stress
Stress occurs when load is applied to a fastener. When
a tensile load (like the one shown in Figure 1-3) is applied to a fastener, the tensile stress is equal to the tensile load divided by the fastener’s average cross-sectional area (see the Appendix for average cross-sectional areas). The BoltMike calculates tensile stress in
units of pounds per square inch (psi) or mega Pascal
(MPa). This calculation is performed using the change
in ultrasonic length, the effective length, acoustic velocity (described in section 1.1.1), the material’s stress factor (a property that is described below), and stress compensation parameters known as Stress Ratio and Stress
Offset. These are instrument correction parameters that
are described in section 1.1.11.
1.1.7Elongation
As a tensile load is applied, a fastener stretches in the
same way a spring would. The amount of stretch, known
elongation
as
, is proportional to the tensile load as long
as the load is within the fastener’s working range (which
means at loads that are less than the fastener’s yield
strength – a term we’ll describe shortly). Using the effective length, the material’s modulus of elasticity, and the
calculated value for corrected stress the BoltMike calculates elongation. (Figure 1-3)
1.1.8Modulus of Elasticity (Eo)
When a fastener is loaded with a tensile force, its length
increases. As long as the loading does not approach
the fastener’s
yield strength
(defined as the loading point
beyond which any change in material shape is not completely reversible), the relationship between the tensile
stress and elongation is linear. By this we mean that if
the stress level increases by a factor of two, the amount
of elongation also increases by a factor of two. For load
levels in the fastener’s elastic region (meaning that the
loads are less than the yield strength of the fastener),
the relationship between stress and elongation is described by a material constant known as the
elasticity
. The variable Eo in the BoltMike represents the
modulus of
modulus of elasticity . The concepts of tensile stress, elongation, modulus of elasticity, and yield strength are illustrated in Figure 1-4.
FIGURE 1-4—This graph shows the relationship between tensile stress and elongation in a fastener. The material’s
modulus of elasticity equals the slope of the straight portion of this curve (this area is known as the material’s elastic
region). The point at the top of the curve, where it is no longer linear, represents the material’s yield strength. Note
that the graph actually plots stress verses strain. Strain is simply the amount of elongation, divided by the original
length of the stressed section.
Page 4 Guide to Ultrasonic Inspection of Fasteners
Chapter 1: Ultrasonic Measurement of Fasteners
1.1.9Stress Factor (K)
The velocity at which a longitudinal wave moves through
an object is affected by stress. When a fastener is
stretched there are two influences on its ultrasonic length
(as determined by multiplying the sound wave’s time of
flight by the constant value of acoustic velocity). First,
the length of material through which the sound must travel
increases. Also, the fastener’s actual acoustic velocity
decreases as stress increases. In other words, even
when the stretching effect on the fastener’s physical
length is ignored, tensile stress leads to an increase in
the fastener’s ultrasonic length. In the BoltMike, a material constant known as the
Stress Factor (K)
compensates for the effect stress has on the fastener’s actual
acoustic velocity.
A great deal of confusion surrounds this effect. Consider the example shown in Figure 1-5 as you read the
following description. In Figure 1-5A, no load is applied
to the fastener when the reference ultrasonic length
(UL1) is recorded. In Figure 1-5B, a load is applied and
a new ultrasonic length (UL2) is recorded. Note that
Figure 1-5A and B also identify the physical length when
unloaded (Physical Length 1) and loaded (Physical
Length 2). The actual physical elongation of the fastener
equals Physical Length 1 – Physical Length 2. The difference between the ultrasonic lengths (UL1 and UL2)
is about three times the actual physical elongation of
the fastener.
FIGURE 1-5—Applied tensile stress affects the ultrasonic (measured) length of a fastener in two ways. First, it
stretches the fastener, thus increasing the actual length. Second, tensile stress reduces the fastener’s acoustic
velocity, further increasing its ultrasonic length. In the BoltMike, the material constant K (stress factor) is used to
compensate for the effect of tensile stress on acoustic velocity.
Guide to Ultrasonic Inspection of Fasteners Page 5
Chapter 1: Ultrasonic Measurement of Fasteners
It is important to note that in order to change the acoustic velocity, stress must be applied in the same direction
traveled by the ultrasonic shock wave. Thus shear and
torsional stress have no effect on the acoustic velocity
when measured along the fastener’s length.
1.1.10 Temperature Coefficient (Cp)
The temperature of a fastener affects its physical length.
As the temperature of a fastener increases, its physical
length increases. In addition, as a fastener’s temperature increases the amount of time it takes for sound to
travel through the fastener also increases. In other words,
when a fastener is subjected to increased temperature,
its acoustic velocity decreases and, therefore, its ultrasonic length increases. In fact, temperature’s affect on
ultrasonic length is even greater than its affect on physical length. The thermal expansion of the fastener and
the ultrasonic velocity change with temperature are two
separate effects. However, for the purpose of the
BoltMike they are compensated for with a single combined factor known as the
Temperature Coefficient (Cp)
The Bolt Mike relies on a temperature compensation
system to normalize the measured time of flight (TOF)
and thus correct for temperature-caused changes in its
physical and ultrasonic length. The compensation system normalizes the TOF to the value expected at 72
degrees Fahrenheit (22 degrees C) before attempting
to calculate the fastener’s stress, load, and elongation.
This compensation greatly improves accuracy when the
temperature has changed during tightening.
1.1.11 Calibration-Group Correction Factors —
Stress Ratio and Offset
The accuracy of the BoltMike’s stress, load, and elongation calculations depends on many factors. Two major influences on the accuracy of these calculations are
the material-property constants inputted and the
fastener’s geometric characteristics.
While the material-property constants (including elasticity, acoustic velocity, and stress factor) are considered
to be standard values, actual material properties vary
widely. This variation is even found among fasteners
produced in the same manufacturer’s lot. The BoltMike’s
accuracy depends partly on the difference between the
fastener’s actual material properties and those properties represented by the standard material constants.
Similarly, variations in fastening systems’ physical characteristics affect the accuracy of load and elongation
calculations.
When BoltMike III users desire to calculate load, elongation, stress, or TOF (time of flight) values with a higher
degree of accuracy, they generally choose to create
calibration groups. During the process of creating a calibration group, the BoltMike uses inputted values of actual tensile load, as well as its own measured load data,
to calculate two correction factors: Stress Ratio and
Stress Offset. These correction factors are used to convert the BoltMike’s raw stress value into a corrected stress,
as shown in Chapter 8 of this guide.
The BoltMike uses one of two methods to determine these
correction factors. The first method, called a regression
correlation, uses a linear regression technique to determine the stress factor and offset. (Figure 1-6) The stress
factor is actually the slope of a line that represents the
relationship between actual and calculated load. The
stress offset represents the Y intercept of the actual
verses calculated load line. This value can be thought
of as the level to which actual load can increase before
the BoltMike can measure an observable load.
.
The second method used to determine correction factors is known as vector correlation. With this approach
the BoltMike calculates only a stress ratio. The value of
the stress offset is set to zero. (Figure 1-6)
When creating a calibration group, the user must decide which correction method to use. This decision should
be based on the application. If accuracy over a wide
range of loads (including low-level loads) is desirable,
the vector correction is usually preferred. If the highest
level of accuracy at a single target load is desired, the
regression method is best.
Why are two methods required? Often the relationship
between actual and measured stress is non-linear,
especially at the low end of the curve (as shown in
Figure 1-6). This can be caused by a skin effect. When
a small amount of load is applied to a fastener, most of
the stress is in the surface layers, not evenly distributed
across the cross-section. Since the longitudinal wave
travels predominantly down the center of the fastener,
less of the actual stress is observed.
1.1.12 Fastener Geometry
Several geometrical characteristics of fasteners affect
the ultrasonic measurement of load, stress, and elongation. While these characteristics are described in great
detail in Chapter 6 and the Appendix, Figure 1-7 briefly
illustrates them.
Page 6 Guide to Ultrasonic Inspection of Fasteners
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