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I have a solid cylinder to which I have strain gauges attached to measure axial and circumferential strains. My goal is to relate the circumferential strain to radial strain and then to calculate possion's ratio. Every time I try to work out the geometry of the problem I end up saying that circumferential strain is equal to axial strain, can this be true?

Terms:

Ec = Circumferential Strain = dC/C

dC = change in length of circumference

C = circumference

Er = Radial Strain = dR/R

dR = change in length of radius

R = radius

Here is my logic:

Strain Circumferential (Ec) is equal to the strain is see in one single strain gauge attached along circumference. dC = 2*PI*dR. Then dR can be expressed as dR = C*Ec/(2*PI). Which means Er= dR/R = C*Ec/(2*PI*R) = Ec. Can that be right?

Then is my possion's ratio radial/axial or axial/radial?

Thanks.

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# Relating Radial Strain to Circumferential

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