It can also be shown that . . .

Recalling that the change in resistance of a conductor is linearly related to the strain by:

(1")     

(Equation 2 of the Theory of Operation of Strain Gauges).

Rearrange Equation 1" into the form:

(2")     

and substitue into Equation 1

(1)     

which yields:

(3")     

Which can be rearranged to yield:

(2)