Interface 301 Load Cell User Guide
- August 31, 2024
- Interface
Table of Contents
- 301 Load Cell
- Load Cell Stiffness
- Load Cell Natural Frequency: Lightly Loaded Case
- Load Cell Natural Frequency: Heavily Loaded Case
- Contact Resonance
- Application of Calibration Loads: Conditioning the Cell
- Application of Calibration Loads: Impacts and Hysteresis
- Test Protocols and Calibrations
- Application of In-Use Loads: On-Axis Loading
- Overload Capacity with Extraneous Loading
- Impact Loads
- Read User Manual Online (PDF format)
- Download This Manual (PDF format)
Load Cells 301 Guide
301 Load Cell
Load Cell Characteristics & Applications
©1998–2009 Interface Inc.
Revised 2024
All rights reserved.
Interface, Inc. makes no warranty, either expressed or implied, including, but
not limited to, any implied warranties of merchantability or fitness for a
particular purpose, regarding these materials, and makes such materials
available solely on an “as-is” basis.
In no event shall Interface, Inc. be liable to anyone for special, collateral,
incidental, or consequential damages in connection with or arising out of use
of these materials.
Interface® , Inc. 7401 Butherus Drive
Scottsdale, Arizona 85260
480.948.5555 phone
contact@interfaceforce.com
http://www.interfaceforce.com
Welcome to the Interface Load Cell 301 Guide, an indispensable technical
resource written by industry force measurement experts. This advanced guide is
designed for test engineers and measurement device users seeking comprehensive
insights into load cell performance and optimization.
In this practical guide, we explore critical topics with technical
explanations, visualizations, and scientific details essential for
understanding and maximizing the functionality of load cells in diverse
applications.
Learn how the inherent stiffness of load cells affects their performance under
different loading conditions. Next, we investigate load cell natural
frequency, analyzing both lightly loaded and heavily loaded scenarios to
comprehend how load variations influence frequency response.
Contact resonance is another crucial aspect covered extensively in this guide,
shedding light on the phenomenon and its implications for accurate
measurements. Additionally, we discuss the application of calibration loads,
emphasizing the importance of conditioning the cell and addressing impacts and
hysteresis during calibration procedures.
Test protocols and calibrations are thoroughly examined, providing sensible
guidelines for ensuring precision and reliability in measurement processes. We
also delve into the application of in-use loads, focusing on on-axis loading
techniques and strategies for controlling off-axis loads to enhance
measurement accuracy.
Furthermore, we explore methods for reducing extraneous loading effects by
optimizing design, offering valuable insights into mitigating external
influences on load cell performance. Overload capacity with extraneous loading
and dealing with impact loads are also discussed in detail to equip engineers
with the knowledge needed to safeguard load cells against adverse conditions.
The Interface Load Cell 301 Guide provides invaluable information to optimize
performance, enhance accuracy, and ensure the reliability of measurement
systems in various applications.
Your Interface Team
Load Cell Characteristics & Applications
Load Cell Stiffness
Customers frequently want to use a load cell as an element in the physical
structure of a machine or assembly. Therefore, they would like to know how the
cell would react to the forces developed during the assembly and operation of
the machine.
For the other parts of such a machine that are made from stock materials, the
designer can look up their physical characteristics (such as thermal
expansion, hardness, and stiffness) in handbooks and determine the
interactions of his parts based on his design. However, since a load cell is
built on a flexure, which is a complex machined part whose details are unknown
to the customer, its reaction to forces will be difficult for the customer to
determine. It is a useful exercise to consider how a simple flexure responds
to loads applied in different directions. Figure 1, shows examples of a simple
flexure made by grinding a cylindrical groove into both sides of a piece of
steel stock. Variations of this idea are used extensively in machines and test
stands to isolate load cells from side loads. In this example, the simple
flexure represents a member in a machine design, not an actual load cell. The
thin section of the simple flexure acts as a virtual frictionless bearing
having a small rotational spring constant. Therefore, the spring constant of
the material may have to be measured and factored into the response
characteristics of the machine. If we apply a tensile force (FT ) or a
compressive force (FC ) to the flexure at an angle off of its centerline, the
flexure will be distorted sideways by the vector component (F TX) or (FCX ) as
shown by the dotted outline. Although the results look quite similar for both
cases, they are drastically different.
In the tensile case in Figure 1, the flexure tends to bend into alignment with
the off-axis force and the flexure assumes an equilibrium position safely,
even under considerable tension.
In the compressive case, the flexure’s reaction, as shown in Figure 2 , can be
highly destructive, even though the applied force is exactly the same
magnitude and is applied along the same line of action as the tensile force,
because the flexure bends away from the line of action of the applied force.
This tends to increase the side force (F CX) with the result that the flexure
bends even more. If the side force exceeds the ability of the flexure to
resist the turning motion, the flexure will continue to bend and will
ultimately fail. Thus, the failure mode in compression is bending collapse,
and will occur at a much lower force than can be safely applied in tension.
The lesson to be learned from this example is that extreme caution must be
applied when designing compressive load cell applications using columnar
structures. Slight misalignments can be magnified by the motion of the column
under compressive loading, and the result can range from measurement errors to
complete failure of the structure.
The previous example demonstrates one of the major advantages of the
Interface® LowProfile® cell design. Since the cell is so short in relation to
its diameter, it does not behave like a column cell under compressive loading.
It is much more tolerant of misaligned loading than a column cell is.
The stiffness of any load cell along its primary axis, the normal measurement
axis, can be calculated easily given the rated capacity of the cell and its
deflection at rated load. Load cell deflection data can be found in the
Interface® catalog and website.
NOTE:
Keep in mind that these values are typical, but are not controlled
specifications for the load cells. In general, the deflections are
characteristics of the flexure design, the flexure material, the gage factors
and the final calibration of the cell. These parameters are each individually
controlled, but the cumulative effect may have some variability.
Using the SSM-100 flexure in Figure 3, as an example, the stiffness in the the
primary axis (Z) can be calculated as follows: This type of calculation is
true for any linear load cell on its primary axis. In contrast, the
stiffnesses of the (X ) and (Y ) axes are much more complicated to determine
theoretically, and they are not usually of interest for users of Mini Cells,
for the simple reason that the response of the cells on those two axes is not
controlled as it is for the LowProfile® series. For Mini Cells, it is always
advisable to avoid the application of side loads as much as possible, because
the coupling of off-axis loads into the primary axis output can introduce
errors into the measurements.
For example, application of the side load (FX ) causes the gages at A to see
tension and the gages at (B) to see compression. If the flexures at (A) and
(B) were identical and the gage factors of the gages at (A) and (B) were
matched, we would expect the output of the cell to cancel the effect of the
side load. However, since the SSM series is a low-cost utility cell which is
typically used in applications having low side loads, the extra cost to the
customer of balancing out the side load sensitivity is usually not
justifiable.
The correct solution where side loads or moment loads may occur is to uncouple
the load cell from those extraneous forces by the use of a rod end bearing at
one or both of the ends of the load cell.
For example, Figure 4, shows a typical load cell installation for weight of a
barrel of fuel sitting on a weigh pan, in order to weigh the fuel used in
engine tests. A clevis is mounted firmly to the support beam by its stud. The
rod end bearing is free to rotate around the axis of its support pin, and can
also move about ±10 degrees in rotation both in and out of the page and around
the primary axis of the load cell. These freedoms of motion ensure that the
tension load stays on the same centerline as the load cell’s primary axis,
even if the load is not properly centered on the weigh pan.
Note that the nameplate on the load cell reads upside down because the dead
end of the cell must be mounted to the support end of the system.
Load Cell Natural Frequency: Lightly Loaded Case
Frequently a load cell will be used in a situation in which a light load, such
as a weigh pan or small test fixture, will be attached to the live end of the
cell. The user would like to know how quickly the cell will respond to a
change in loading. By connecting the output of a load cell to an oscilloscope
and running a simple test, we can learn some facts about the dynamic response
of the cell. If we firmly mount the cell on a massive block and then tap the
cell’s active end very lightly with a tiny hammer, we will see a
damped sine wave train (a series of sine waves which progressively decrease to
zero).
NOTE:
Use extreme caution when applying impact to a load cell. The force levels can
damage the cell, even for very short intervals. The frequency (number of
cycles occurring in one second) of the vibration can be determined by
measuring the time (T ) of one complete cycle, from one positive-going zero
crossing to the next. One cycle is indicated on the oscilloscope picture in
Figure 5, by the bold trace line. Knowing the period (time for one cycle), we
can calculate the natural frequency of free oscillation of the load cell ( fO)
from the formula: The natural frequency of a load cell is of interest because
we can use its value to estimate the dynamic response of the load cell in a
lightly loaded system.
NOTE:
Natural frequencies are typical values, but are not a controlled
specification. They are given in the Interface® catalog only as an assistance
to the user.
The equivalent spring-mass system of a load cell is shown in Figure 6 . The
mass (M1) corresponds to the mass of the live end of the cell, from the
attachment point to the thin sections of the flexure. The spring, having
spring constant (K), represents the spring rate of the thin measurement
section of the flexure. The mass (M2), represents the added mass of any
fixtures which are attached to the live end of the load cell.
Figure 7 relates these theoretical masses to the actual masses in a real load
cell system. Note that the spring constant (K ) occurs on the dividing line at
the thin section of the flexure. Natural frequency is a basic parameter, the
result of the design of the load cell, so the user must understand that the
addition of any mass on the active end of the load cell will have the effect
of lowering the total system’s natural frequency. For example, we can imagine
pulling down slightly on the mass M1 in Figure 6 and then letting go. The mass
will oscillate up and down at a frequency that is determined by the spring
constant (K ) and the mass of M1.
In fact, the oscillations will damp out as time progresses in much the same
way as in Figure 5.
If we now bolt the mass (M2 ) on (M1),
the increased mass loading will lower the natural frequency of the springmass
system. Fortunately, if we know the masses of (M1 ) and (M2) and the natural
frequency of the original spring-mass combination, we can calculate the amount
that the natural frequency will be lowered by the addition of (M2 ), in
accordance with the formula: To an electrical or electronic engineer, the
static calibration is a (DC ) parameter, whereas the dynamic response is an
(AC ) parameter. This is represented in Figure 7, where the DC calibration is
shown on the factory calibration certificate, and users would like to know
what the response of the cell will be at some driving frequency they will be
using in their tests.
Note the equal spacing of the “Frequency” and “Output” grid lines on the graph
in Figure 7. Both of these are logarithmic functions; that is, they represent
a factor of 10 from one grid line to the next. For example, “0 db” means “no
change”; “+20 db” means “10 times as much as 0 db”; “–20 db” means “1/10 as
much as 0 db”; and “–40 db” means “1/100 as much as 0 db.”
By using logarithmic scaling, we can show a larger range of values, and the
more common characteristics turn out to be straight lines on the graph. For
example, the dashed line shows the general slope of the response curve above
the natural frequency. If we continued the graph down and off to the right,
the response would become asymptotic (closer and closer) to the dashed
straight line.
NOTE:
The curve in Figure 63 is provided only to portray the typical response of a
lightly loaded load cell under optimum conditions. In most installations, the
resonances in the attaching fixtures, test frame, driving mechanism and UUT
(unit under test) will predominate over the load cell’s response.
Load Cell Natural Frequency: Heavily Loaded Case
In cases where the load cell is mechanically tightly coupled into a system
where the masses of the components are significantly heavier than the load
cell’s own mass, the load cell tends more to act like a simple spring that
connects the driving element to the driven element in the system.
The problem for the system designer becomes one of analyzing the masses in the
system and their interaction with the very stiff spring constant of the load
cell. There is no direct correlation between the load cell’s unloaded natural
frequency and the heavily loaded resonances which will be seen in the user’s
system.
Contact Resonance
Almost everyone has bounced a basketball and noticed that the period (time
between cycles) is shorter when the ball is bounced closer to the floor.
Anyone who has played a pinball machine has seen the ball rattling back and
forth between two of the metal posts; the closer the posts get to the diameter
of the ball, the faster the ball will rattle. Both of these resonance effects
are driven by the same elements: a mass, a free gap, and a springy contact
which reverses the direction of travel.
The frequency of oscillation is proportional to the stiffness of the restoring
force, and inversely proportional both to the size of the gap and to the mass.
This same resonance effect can be found in many machines, and the buildup of
oscillations can damage the machine during normal operation. For example, in
Figure 9,a dynamometer is used to measure the horsepower of a gasoline
engine. The engine under test drives a water brake whose output shaft is
connected to a radius arm. The arm is free to rotate, but is constrained by
the load cell. Knowing the RPM of the engine, the force on the load cell, and
the length of the radius arm, we can calculate the horsepower of the engine.
If we look at the detail of the clearance between the ball of the rod end
bearing and the sleeve of the rod end bearing in Figure 9, we will find a
clearance dimension, (D), because of the difference in size of the ball and
its constraining sleeve. The sum of the two ball clearances, plus any other
looseness in the system, will be the total “gap” which can cause a contact
resonance with the mass of the radius arm and the spring rate of the load
cell. As the engine speed is increased, we may find a certain RPM at which the
rate of firing of the engine’s cylinders matches the contact resonance
frequency of the dynamometer. If we hold that RPM, magnification
(multiplication of the forces) will occur, a contact oscillation will build
up, and impact forces of ten or more times the average force could easily be
imposed on the load cell.
This effect will be more pronounced when testing a one-cylinder lawn mower
engine than when testing an eight cylinder auto engine, because the firing
impulses are smoothed out as they overlap in the auto engine. In general,
raising the resonant frequency will improve the dynamic response of the
dynamometer.
The effect of contact resonance can be minimized by:
- Using high quality rod end bearings, which have very low play between the ball and socket.
- Tightening the rod end bearing bolt to ensure that the ball is tightly clamped in place.
- Making the dynamometer frame as stiff as possible.
- Using a higher capacity load cell to increase the load cell stiffness.
Application of Calibration Loads: Conditioning the Cell
Any transducer that depends upon the deflection of a metal for its operation,
such as a load cell, torque transducer, or pressure transducer, retains a
history of its previous loadings. This effect occurs because the minute
motions of the crystalline structure of the metal, small as they are, actually
have a frictional component that shows up as hysteresis (nonrepeating of
measurements that are taken from different directions).
Prior to the calibration run, the history can be swept out of the load cell by
the application of three loadings, from zero to a load which exceeds the
highest load in the calibration run. Usually, at least one load of 130% to
140% of the Rated Capacity is applied, to allow the proper setting and jamming
of the test fixtures into the load cell.
If the load cell is conditioned and the loadings are properly done, a curve
having the characteristics of (A-B-C-D-E-F-G-H-I-J-A), as in Figure 10, will
be obtained.
The points will all fall onto a smooth curve, and the curve will be closed on
the return to zero. Furthermore, if the test is repeated and the loadings are
properly done, the corresponding points between the first and second runs will
fall very close to each other, demonstrating the repeatability of the
measurements.
Application of Calibration Loads: Impacts and Hysteresis
Whenever a calibration run yields results that don’t have a smooth curve,
don’t repeat well, or don’t return to zero, the test setup or loading
procedure should be the first place to check.
For example, Figure 10 shows the result of the application of loads where the
operator was not careful when the 60% load was applied. If the weight was
dropped slightly onto the loading rack and applied an impact of 80% load and
then returned to the 60% point, the load cell would be operating on a minor
hysteresis loop that would end up at point (P) instead of at point (D).
Continuing the test, the 80% point would end up at (R), and the 100% point
would end up at (S). The descending points would all fall above the correct
points, and the return to zero would not be closed.
The same type of error can occur on a hydraulic test frame if the operator
overshoots the correct setting and then leaks back the pressure to the correct
point. The only recourse for impacting or overshooting is to recondition the
cell and retest.
Test Protocols and Calibrations
Load cells are routinely conditioned in one mode (either tension or
compression), and then calibrated in that mode. If a calibration in the
opposite mode is also required, the cell is first conditioned in that mode
prior to the second calibration. Thus, the calibration data reflects the
operation of the cell only when it is conditioned in the mode in question.
For this reason, it is important to determine the test protocol (the sequence
of load applications) which the customer is planning to use, before a rational
discussion of the possible sources of error can occur. In many cases, a
special factory acceptance must be devised to ensure that the user’s
requirements will be met.
For very stringent applications, users are generally able to correct their
test data for the nonlinearity of the load cell, thus removing a substantial
amount of the total error. If they are unable to do so, nonlinearity will be
part of their error budget.
Nonrepeatability is essentially a function of the resolution and stability of
the user’s signal conditioning electronics. Load cells typically have
nonrepeatability that is better than the load frames, fixtures, and
electronics that are used to measure it.
The remaining source of error, hysteresis, is highly dependent on the loading
sequence in the user’s test protocol. In many cases, it is possible to
optimize the test protocol so as to minimize the introduction of unwanted
hysteresis into the measurements.
However, there are cases in which users are constrained, either by an external
customer requirement or by an internal product specification, to operate a
load cell in an undefined way that will result in unknown hysteresis effects.
In such instances, the user will have to accept the worst case hysteresis as
an operating specification.
Also, some cells must be operated in both modes (tension and compression)
during their normal use cycle without being able to recondition the cell
before changing modes. This results in a condition called toggle (nonreturn to
zero after looping through both modes).
In normal factory output, the magnitude of toggle is a broad range where the
worst case is approximately equal to or slightly larger than hysteresis,
depending on the load cell’s flexure material and capacity.
Fortunately, there are several solutions to the toggle problem:
- Use a higher capacity load cell so that it can operate over a smaller range of its capacity. Toggle is lower when the extension into the opposite mode is a smaller percentage of rated capacity.
- Use a cell made from a lower toggle material. Contact the factory for recommendations.
- Specify a selection criterion for normal factory production. Most cells have a range of toggle that may yield enough units from the normal distribution. Depending on the factory build rate, the cost for this selection is usually quite reasonable.
- Specify a tighter specification and have the factory quote a special run.
Application of In-Use Loads: On-Axis Loading
All on-axis loadings generate some level, no matter how small, of offaxis
extraneous components. The amount of this extraneous loading is a function of
the tolerancing of the parts in the design of the machine or load frame, the
precision with which the components are manufactured, the care with which the
elements of the machine are aligned during assembly, the rigidity of the load-
bearing parts, and the adequacy of the attaching hardware.
Control of Off-Axis Loads
The user can opt to design the system so as to eliminate or reduce off-axis
loading on the load cells, even if the structure suffers distortion under
load. In tension mode, this is possible by the use of rod end bearings with
clevises.
Where the load cell can be kept separate from the structure of the test frame,
it can be used in compression mode, which almost eliminates the application of
off axis load components to the cell. However, in no case can off-axis loads
be completely eliminated, because the deflection of load carrying members will
always occur, and there will always be a certain amount of friction between
the load button and the loading plate which can transmit side loads into the
cell.
When in doubt, the LowProfile® cell will always be the cell of choice unless
the overall system error budget allows a generous margin for extraneous loads.
Reducing Extraneous Loading Effects by Optimizing Design
In high-precision test applications, a rigid structure with low extraneous
loading can be achieved by the use of ground flexures to build the measurement
frame. This, or course, requires precision machining and assembly of the
frame, which may constitute a considerable cost.
Overload Capacity with Extraneous Loading
One serious effect of off-axis loading is the reduction of the cell’s overload
capacity. The typical 150% overload rating on a standard load cell or the 300%
overload rating on a fatigue-rated cell is the allowed load on the primary
axis, without any side loads, moments or torques applied to the cell
concurrently. This is because the off-axis vectors will add with the on-axis
load vector, and the vector sum can cause an overload condition in one or more
of the gaged areas in the flexure.
To find the allowed on-axis overload capacity when the extraneous loads are
known, compute the on-axis component of the extraneous loads and algebraically
subtract them from the rated overload capacity, being careful to keep in mind
in which mode (tension or compression) the cell is being loaded.
Impact Loads
Neophytes in the use of load cells frequently destroy one before an old- timer
has a chance to warn them about impact loads. We would all wish that a load
cell could absorb at least a very short impact without damage, but the reality
is that if the live end of the cell moves more than 150% of the full capacity
deflection in relation to the dead end, the cell could be overloaded, no
matter how short the interval over which the overload occurs.
In Panel 1 of the example in F igure 11, a steel ball of mass “m” is dropped
from height “S” onto the live end of the load cell. During the fall, the ball
is accelerated by gravity and has achieved a velocity “v” by the instant it
makes contact with the surface of the cell.
In Panel 2 , the velocity of the ball will be completely stopped, and in Panel
3 the direction of the ball will be reversed. All this must happen in the
distance it takes for the load cell to reach the rated overload capacity, or
the cell may be damaged.
In the example shown, we have picked a cell that can deflect a maximum of
0.002” before being overloaded. In order for the ball to be completely stopped
in such a short distance, the cell must exert a tremendous force on the ball.
If the ball weighs one pound and it is dropped one foot onto the cell, the
graph of Figure 12 indicates that the cell will receive an impact of 6,000 lbf
(it is assumed that the mass of the ball is much larger than the mass of the
live end of the load cell, which is usually the case).
The scaling of the graph can be modified mentally by keeping in mind that the
impact varies directly with the mass and with the square of the distance
dropped. Interface® is the trusted The World Leader in Force Measurement
Solutions® .
We lead by designing, manufacturing, and guaranteeing the highest performance
load cells, torque transducers, multi-axis sensors, and related
instrumentation available. Our world-class engineers provide solutions to the
aerospace, automotive, energy, medical, and test and measurement industries
from grams to millions of pounds, in hundreds of configurations. We are the
preeminent supplier to Fortune 100 companies worldwide, including; Boeing,
Airbus, NASA, Ford, GM, Johnson & Johnson, NIST, and thousands of measurement
labs. Our in-house calibration labs support a variety test standards: ASTM
E74, ISO-376, MIL-STD, EN10002-3, ISO-17025, and others.
You can find more technical information about load cells and Interface®’s
product offering at www.interfaceforce.com, or by calling one of our expert
Applications Engineers at 480.948.5555.
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