ASTM C885-87(2002)
(Test Method)Standard Test Method for Young's Modulus of Refractory Shapes by Sonic Resonance
Standard Test Method for Young's Modulus of Refractory Shapes by Sonic Resonance
SCOPE
1.1 This test method covers a procedure for measuring the resonance frequency in the flexural (transverse) mode of vibration of rectangular refractory brick or rectangularly shaped monoliths at room temperature. Young's modulus is calculated from the resonance frequency of the shape, its mass (weight) and dimensions.
1.2 This standard does not purport to address all of the safety concerns, if any,associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.
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Designation:C 885–87 (Reapproved 2002)
Standard Test Method for
Young’s Modulus of Refractory Shapes by Sonic
1
Resonance
This standard is issued under the fixed designation C 885; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (e) indicates an editorial change since the last revision or reapproval.
1. Scope use of a vibrating driver that transforms an initial electrical
signal into a mechanical vibration. A detector senses the
1.1 This test method covers a procedure for measuring the
resultingmechanicalvibrationsofthespecimenandtransforms
resonance frequency in the flexural (transverse) mode of
them into an electrical signal that can be displayed on the
vibration of rectangular refractory brick or rectangularly
screen of an oscilloscope to detect resonance by a Lissajous
shaped monoliths at room temperature. Young’s modulus is
figure.The calculation ofYoung’s modulus from the resonance
calculated from the resonance frequency of the shape, its mass
frequency measured is simplified by assuming that Poisson’s
(weight) and dimensions.
1
ratio is ⁄6 for all refractory materials.
1.2 This standard does not purport to address all of the
safety concerns, if any,associated with its use. It is the
4. Significance and Use
responsibility of the user of this standard to establish appro-
4.1 Young’s modulus is a fundamental mechanical property
priate safety and health practices and determine the applica-
of a material.
bility of regulatory limitations prior to use.
4.2 This test method is used to determine the dynamic
2. Referenced Documents modulus of elasticity of rectangular shapes. Since the test is
nondestructive, specimens may be used for other tests as
2.1 ASTM Standards:
desired.
C 134 Test Methods for Size, Dimensional Measurements,
4.3 Thistestmethodisusefulforresearchand development,
and Bulk Density of Refractory Brick and Insulating
2
engineering application and design, manufacturing process
Firebrick
control, and for developing purchasing specifications.
C 215 Test Method for Fundamental Transverse, Longitu-
3
4.4 The fundamental assumption inherent in this test
dinal, and Torsional Frequencies of Concrete Specimens
1
method is that a Poisson’s ratio of ⁄6 is typical for heteroge-
C 623 Test Method for Young’s Modulus, Shear Modulus,
neous refractory materials. The actual Poisson’s ratio may
and Poisson’s Ratio for Glass and Glass-Ceramics by
4
differ.
Resonance
C 747 Test Method for Moduli of Elasticity and Fundamen-
5. Apparatus
tal Frequencies of Carbon and Graphite Materials by Sonic
2 5.1 A block diagram of a suggested test apparatus arrange-
Resonance
ment is shown in Fig. 1. Details of the equipment are as
C 848 Test Method for Young’s Modulus, Shear Modulus,
follows:
and Poisson’s Ratio for Ceramic Whitewares by Reso-
4 5.1.1 Audio Oscillator, having a continuously variable
nance
calibrated-frequency output from about 50 Hz to at least 10
3. Summary of Test Method kHz.
5.1.2 Audio Amplifier, having a power output sufficient to
3.1 Test specimens are vibrated in flexure over a broad
ensure that the type of driver used can excite the specimen; the
frequency range; mechanical excitation is provided through the
output of the amplifier must be adjustable.
5.1.3 Driver, which may consist of a transducer or a
1
This test method is under the jurisdiction of ASTM Committee C-8 on
loudspeaker from which the cone has been removed and
Refractories, and is the direct responsibility of Subcommittee C08.01 on Strength
replaced with a probe (connecting rod) oriented parallel to the
Properties.
direction of the vibration; suitable vibration-isolating mounts.
Current edition approved July 31, 1987. Published August 1987. Originally
{1
published as C 885 – 78. Last previous edition C 885 – 81 .
NOTE 1—For small specimens, an air column may preferably be used
2
Annual Book of ASTM Standards, Vol 15.01.
for “coupling” the loudspeaker to the specimen.
3
Annual Book of ASTM Standards, Vol 04.02.
4
Annual Book of ASTM Standards, Vol 15.02.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
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C 885–87 (2002)
FIG. 1 Block Diagram of Apparatus
5.1.4 Detector, which may be a transducer or a balance-
mounted monaural (crystal or magnetic) phonograph pick-up
cartridge of good frequency response; the detector should be
movable across the specimen; suitable vibration-isolating
mounts.
5.1.5 Pre-Scope Amplifier in the detector circuit,
impedance-matched with the detector used; the output must be
adjustable.
FIG. 2 Typical Specimen Positioning for Measurement of Flexural
5.1.6 Ind
...
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