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Strain
Gage Technical Data
Strain
Gage Measurement
The
most universal measuring device for the electrical measurement
of mechanical quantities is the strain gage. Several types of
strain gages depend on the proportional variance of electrical
resistance to strain: the piezoresistive or semi-conductor gage,
the carbon-resistive gage, the bonded metallic wire, and foil
resistance gages.
The
bonded resistance strain gage is by far the most widely used in
experimental stress analysis. These gages consist of a grid of
very fine wire or foil bonded to the backing or carrier matrix.
The electrical resistance of the grid varies linearly with strain.
In use, the carrier matrix is bonded to the surface, force is
applied, and the strain is found by measuring the change in resistance.
The bonded resistance strain gage is low in cost, can be made
with a short gage length, is only moderately affected by temperature
changes, has small physical size and low mass, and has fairly
high sensitivity to strain.
In
a strain gage application, the carrier matrix and the adhesive
must work together to transmit the strains from the specimen to
the grid. In addition, they serve as an electrical insulator and
heat dissipator.
The three primary factors influencing gage selection are operating
temperature, state of strain (gradient, magnitude, and time dependence)
and stability required.
Because of its outstanding sensitivity, the Wheatstone bridge
circuit is the most frequently used circuit for static strain
measurements. Ideally, the strain gage is the only resistor in
the circuit that varies and then only due to a change in strain
on the surface.
There
are two main methods used to indicate the change in resistance
caused by strain on a gage in a Wheatstone bridge. Often, an indicator
will rebalance the bridge, displaying the change in resistance
required in micro-strain. the second method installs an indicator,
calibrated in micro-strain, that responds to the voltage output
of the bridge. This method assumes a linear relationship between
voltage out and strain, an initially balanced bridge, and known
V in. In reality, the V out-strain relationship is nonlinear,
but for strains up to a few thousand micro-strain, the error is
not significant.
Potential
Error Sources
In
a stress analysis application, the entire gage installation cannot
be calibrated as can some pressure transducers. Therefore, it
is important to examine potential error sources prior to taking
data.
Some gages may be damaged during installation. It is important
therefore to check the resistance of the strain gage prior to
stress.
Electrical noise and interference may alter your readings. Shielded
leads and adequately insulating coatings may prevent these problems.
A value of less than 500 M ohms (using an ohmmeter) usually indicates
surface contamination.
Thermally
induced voltages are caused by thermocouple effects at the junction
of dissimilar metals within the measurement circuit. Magnetically
induced voltages may occur when the wiring is located in a time
varying magnetic field. Magnetic induction can be controlled by
using twisted lead wires and forming minimum but equal loop areas
in each side of the bridge.
Temperature
effects on gage resistance and gage factor should be compensated
for as well. This may require measurement of temperature at the
gage itself, using thermocouples, thermistors, or RTDs. Most metallic
gage alloys, however, exhibit a nearly linear gage factor variation
with temperature over a broad range which is less than ±1% within
±100°C.
Prime
Strain Gage Selection Considerations
Gage Length
Number of Gages in Gage Pattern
Arrangement of Gages in Gage Pattern
Grid Resistance
Strain Sensitive Alloy
Carrier Material
Gage Width
Solder Tab Type
Configuration of Solder Tab
Availability
Strain
gage dimensions
The
active grid length, in the case of foil gages, is the net grid
length without the tabs and comprises the return loops of the
wire gages. The carrier, dimensions are designed by OMEGA for
the optimum function of the strain gage.
Strain
gage resistance
The
resistance of a strain gage is defined as the electrical resistance
measured between the two metal ribbons or contact areas intended
for the connection of measurement cables. The range comprises
strain gages with a nominal resistance of 120, 350, 600, and 700
Ohms.
Gage
Factor (Strain Sensitivity)
The
strain sensitivity k of a strain gage is the proportionality factor
between the relative change of the resistance.
The
strain sensitivity is a figure without dimension and is generally
called gage factor.
The
gage factor of each production lot is determined by sample measurements
and is given on each package as the nominal value with its tolerance.
Reference Temperature The reference temperature is the ambient
temperature for which the technical data of the strain gages are
valid, unless temperature ranges are given. The technical data
quoted for strain gages are based on a reference temperature of
23°C.
Temperature
Characteristic
Temperature
dependent changes of the specific strain gage grid resistance
occur in the applied gage owing to the linear thermal expansion
coefficients of the grid and specimen materials. These resistance
changes appear to be mechanical strain in the specimen. The representation
of the apparent strain as a function of temperature is called
the temperature characteristic of the strain gage application.
In order to keep apparent strain through temperature changes as
small as possible, each strain gage is matched during the production
to a certain linear thermal expansion coefficient. OMEGA offers
strain gages with temperature characteristics matched to ferritic
steel and aluminum.
Service
Temperature Range
The
service temperature range is the range of ambient temperature
where the use of the strain gages is permitted without permanent
changes of the measurement properties. Service temperature ranges
are different whether static or dynamic values are to be sensed.
Maximum Permitted RMS Bridge Energizing Voltage
The
maximum values quoted are only permitted for appropriate application
on materials with good heat conduction (e.g., steel of sufficient
thickness) if room temperature is not exceeded. In other cases
temperature rise in the measuring grid area may lead to measurement
errors. Measurements on plastics and other materials with bad
heat conduction require the reduction of the energizing voltage
or the duty cycle (pulsed operation).
THE
STRAIN GAGE IS ONE OF THE MOST IMPORTANT TOOLS
of the electrical measurement technique applied to the
measurement of mechanical quantities. As their name indicates,
they are used for the measurement of strain. As a technical
term "strain" consists of tensile and compressive strain,
distinguished by a positive or negative sign. Thus, strain
gages can be used to pick up expansion as well as contraction.
The strain of a body is always caused by an external influence
or an internal effect. Strain might be caused by forces,
pressures, moments, heat, structural changes of the material
and the like. If certain conditions are fulfilled, the
amount or the value of the influencing quantity can be
derived from the measured strain value. In experimental
stress analysis this feature is widely used. Experimental
stress analysis uses the strain values measured on the
surface of a specimen or structural part to state the
stress in the material and also to predict its safety
and endurance. Special transducers can be designed for
the measurement of forces or other derived quantities,
e.g., moments, pressures, accelerations, and displacements,
vibrations and others. The transducer generally contains
a pressure sensitive diaphragm with strain gages bonded
to it.
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