(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider a cylindrical specimen of some hypothetical metal alloy that has a diameter of 10mm. A tensile force of 1500 N produces an elastic reduction in diameter of 6.7e-4mm. Compute the elastic modulus of this alloy, given that poisson's ratio is 0.35.

2. Relevant equations

stress = eleastic modulus*strain

poisson's ratio = lateral strain/axial strain

3. The attempt at a solution

Calculate pressure in Pa:

1500/(5e-3^2*3.14159) = 1.90986e+7

Convert to GPa:

1.90986e+7/1e6 = 1.90986e+1

Calculate lateral strain:

6.7e-4/10 = 6.7e-5

Calculate axial strain:

6.7e-5/.35 = 1.91429e-4

Calculate Elastic Modulus:

1.90986e+1/1.91429e-4 = 9.97686e+4

=100GPa

The correct answer is 100MPa. I'm not sure where i've made the mistake though.

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# Homework Help: Compute the elastic modulus of hypothetical alloy

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