Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Textbook Question
Chapter 1, Problem 1.26P
For the LVDT calibration of the previous problem, what would be involved in determining the repeatability of the instrument? The reproducibility? What effects are different in the two tests? Explain.
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The shear modulus. G. of a material can be determined by applying a torque. T, on a cylindrical material specimen and measuring the angular twist, 0.
The modulus can then be calculated from: G
each measured variable (L. T.t. 0, R) is 3.4%.
3LT
2 Ree
where R and Lare the specimen radius and length, respectively. The relative uncertainty in
What is the total relative uncertainty in G?
(Provide your amwer as a percentage using two decimal places. Do not include the % symbol.)
1226
2. Consider the voltmeter calibration data in Table 1. Plot the data using a suitable scale.
a) Specify the percent maximum hysteresis based on full-scale range.
b) Referring to increasing input calibration, determined the sensitivity and linearity errors.
Increasing input (mV)
Decreasing input (mV)
X
Y
Y
0.0
1.0
0.1
5.0
5.0
1.1
4.0
4.2
2.0
2.1
3.0
3.2
3.0
3.0
2.0
2.2
4.0
4.1
1.0
1.2
5.0
5.0
Table 1: Calibration results
0.0
0.2
What is the 95% confidence interval for each of the three measured parameters?
Chapter 1 Solutions
Theory and Design for Mechanical Measurements
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