How to Compute Poisson Ratio Correctly?

AI Thread Summary
The discussion revolves around calculating the Poisson ratio for a cylindrical metal specimen subjected to tensile stress. The user attempts to compute the ratio using the formula V = (change in D/D original)/(change in L/L original), substituting stress and elastic modulus values. Their calculations yield a Poisson ratio of 0.21, which differs from the tutorial sheet's answer of 0.33. The user seeks clarification on potential errors in their computations or methodology. The discrepancy suggests a need to re-evaluate the calculations, particularly in determining the stress and the corresponding change in length.
buxZED
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A ciclindrical metal specimen 10 mm in diameter is stressed elastically in tension. A force of 15000 N produces a reduction in diameter of 0.007 mm. Compute Poisson ratio if its elastic modulus is 100 GPa

my attempt

D original = 0.01m
change in D = 0.000007m
F=15000N
E= 100*10^9

V = passonse ratio = (change in D/D original)/(change in L/ L original)

we can replace (change in L/ L original) by (stress/E)

so

V=(change in D/D original)/(stress/E)

(change in D/D original) = (0.000007/0.01)
(stress/E) = (F/Area)/E
A= pi(0.01/2)^2

that gives me an answer of V = 0.21



but the tutorial sheet says the answer is 0.33

can you explain where i have gone wrong
 
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any one?
 
The procedure looks OK to me. Maybe an error in computations.
 
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