Based on Figure Q4(a), the diaphragm in a differential pressure gauge deflects proportionally with the pressure difference across it. This deflection is used to measure the pressure difference, dp. To operate well, the material must not fail under the loading, and it should have a large deflection in order to increase the sensitivity of the measurement. The equations below for maximum stress and of a circular diaphragm of fixed radius are important to answer this question. The diaphragm thickness is t, E is Young's Modulus, and v is Poisson's ratio. a? Omx = Ap. 2t2 3Apa*(1 – v²) 8 = 16ET3 Using the information above, explain how you would determine in different ways the M-value for this design. (Answer can be with or without doing the algebra)
Based on Figure Q4(a), the diaphragm in a differential pressure gauge deflects proportionally with the pressure difference across it. This deflection is used to measure the pressure difference, dp. To operate well, the material must not fail under the loading, and it should have a large deflection in order to increase the sensitivity of the measurement. The equations below for maximum stress and of a circular diaphragm of fixed radius are important to answer this question. The diaphragm thickness is t, E is Young's Modulus, and v is Poisson's ratio. a? Omx = Ap. 2t2 3Apa*(1 – v²) 8 = 16ET3 Using the information above, explain how you would determine in different ways the M-value for this design. (Answer can be with or without doing the algebra)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Based on Figure Q4(a), the diaphragm in a differential pressure gauge deflects
proportionally with the pressure difference across it. This deflection is used to
measure the pressure difference, dp. To operate well, the material must not fail
under the loading, and it should have a large deflection in order to increase the
sensitivity of the measurement. The equations below for maximum stress and
of a circular diaphragm of fixed radius are important to answer this question.
The diaphragm thickness is t, E is Young's Modulus, and v is Poisson's ratio.
a?
Omx = Ap:
2t2
3Apa*(1 – v²)
16E13
Using the information above, explain how you would determine in different
ways the M-value for this design. (Answer can be with or without doing the
algebra)

Transcribed Image Text:*.........
2a-
Figure Q4(a)
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