Assume that the amount of pressure variation is represented by P, effective area by A, the stiffness of diaphragm by S
1, the stiffness of the spring in the aneroid by S
2, then the deflection of the aneroid (δ) is given as follows
δ=P.A/(S
1+S
2)
The effective area is independent of the numbers of capsules and the thickness of diaphragm material. In general, A is constant in the total range of deflection and can be calculated from the following equation
A=π.(d
1+d
2)(d
1+d
2)
2/16
where d
1 is the outer diameter and d
2 is the inner diameter. For a fixed form of diaphragm, the stiffness of diaphragm is inversely proportional to the numbers of capsules and proportional to the √3th power of the thickness of diaphragm material.
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