Abstract
Transverse sensitivity of strain gages usually causes unavoidable errors in two-dimensional stress analyses. Formulas have been derived for correcting these errors but involve transverse-sensitivity values which, in most cases, were not available to the user.
This paper describes a method for determination of transverse-sensitivity values using a testing apparatus specially built for this purpose. Results from testing a wide variety of wire and foil strain gages are tabulated and mechanisms of the foil-gage transverse sensitivity discussed.
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Abbreviations
- b :
-
auxiliary sensitivity coefficient of SR-4 rosette gages as given by manufacturer
- b′:
-
width of the test beam, in
- C :
-
restraining factor of the stiffened test beam on transverse strain due to compression
- D :
-
restraining factor of the stiffened test beam on transverse strain due to pure bending
- E :
-
Young's modulus, psi
- e :
-
error caused by gage transverse sensitivity
- F :
-
strain sensitivity of wire, μμ/gw per μin./in
- F a :
-
axial strain sensitivity of gage for zero transverse strain, μω/gw per μin./in
- F c :
-
strain sensitivity (“gage factor”) of gages, as given by manufacturer, μω/ω per μin./in
- F n :
-
transverse strain sensitivity of gage for zero axial strain, μω/ω per μin./in
- h :
-
moment arm of the transverse-sensitivity test rig, in
- I :
-
moment of inertia, psi
- k :
-
F n /F a =transverse-sensitivity coefficient
- M :
-
moment, in.-lb
- P :
-
force, lb
- t :
-
thickness of the test beam, in
- y :
-
t/2, in
- Z :
-
I/y=section modulus, lb/cu in
- α:
-
linear coefficient of thermal expansion, in./in. × 10−6 peroF
- Δ:
-
gage reading, μω/ω change in resistance
- ε:
-
strain, in./in
- ∈ a :
-
true strain along gage axis, μin./in
- ∈ e :
-
Δ/F c =apparent strain along gage axis, μin./in
- ∈ n :
-
true strain transverse to gage axis, μin./in
- μ:
-
Poisson's ratio of specimen
- μm:
-
Poisson's ratio of specimens for SR-4 gage calibration −0.285
- σ:
-
stress, psi
Bibliography
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Wu, C.T. Transverse sensitivity of bonded strain gages. Experimental Mechanics 2, 338–344 (1962). https://doi.org/10.1007/BF02326139
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DOI: https://doi.org/10.1007/BF02326139