Engineering Instrumentation and Measurement Experiments
Engineering Instrumentation and Measurement Experiments
Engineering Instrumentation and Measurement Experiments
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Experiment No. 2 Calibration of a Electronic Load Cell <strong>and</strong> a Bourdon Tube-Type Pressure Gage<br />
5 Calculations <strong>and</strong> Results<br />
5.1 Bourdon Gage<br />
The Bourdon Calibration Figure 1 shows the raw data <strong>and</strong> a least-squares linear curve fit to the<br />
data. The Bourdon Calibration first order polynomial shows a first order least squares fit to the<br />
data. The Bourdon Calibration Residuals illustrates the error of the data to the associated analytical<br />
expression. The following analytical calibration were calculated from the data: Loading direction f(x)<br />
= 2.0299x - 36.3082 +/- 50psi Calculated st<strong>and</strong>ard error of data 27 psi with a st<strong>and</strong>ard deviation<br />
of errors 25 psi. Unloading direction, f(x) = 2.0509x - 37.7478 +/- 50psi. Calculated st<strong>and</strong>ard error<br />
of data was found to be 36 psi <strong>and</strong> st<strong>and</strong>ard deviation of errors 35 psi.<br />
Output (psi)<br />
4000<br />
3500<br />
3000<br />
2500<br />
2000<br />
1500<br />
1000<br />
500<br />
0<br />
-500<br />
Bourdon Calibration<br />
0 500 1000 1500 2000<br />
Input (psi)<br />
Figure 1: Bourdon Calibration<br />
5<br />
Load Linear Fit<br />
y = 2.0299x - 36.3802<br />
R² = 0.9996<br />
Unload Linear Fit<br />
y = 2.0509x - 37.7478<br />
R² = 0.9993<br />
Unload (psi)<br />
Load (psi)
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