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24
4) Combining the equations from steps one, two, and three gives:
5) Note that the tension (F) can be expressed in terms of strain, i.e.:
Where;
ε
w is the wire strain (in./in.).
Ε is the Young's Modulus of the wire (30 x 10 6 Psi).
6) Combining the equations from steps four and five gives:
7) Substituting the given values for Ε, g, and ρ yields:
8) On channel 'A', (which displays the period of vibration, T,) multiplied by a factor of 10
9) Combining the equations from steps seven and eight gives:
10) The equation from step nine must now be expressed in terms of the strain in the surface of
the body to which the gage is attached. Since the deformation of the body must equal the
deformation of the wire:
Where;
ε
is the strain in the body.
Lg is the gage length (in inches).
�
1
Fg
f =
ρa
2L
w
w
ε
F =
Ea
�
ε
1
Eg
w
f =
ρ
2L
w
�
101142
ε
f =
w
L
w
6
10
T =
f
2
97.75L
ε
w
=
w
2
T
ε
ε
L
=
L
w
w
g
6
:
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