In the biomaterials lab you are evaluating a new a long meta

In the biomaterials lab, you are evaluating a new a long metal material was found to have an elastic modulus of 20.3 Times 10 psi. Find the materials poisson\'s ratio in the rod sample with diameter of 0.31, experiences a diameter reduction of 2 Times 10^-4 in when a tensile force of 3530 IBF is applied.

Solution

E = 20.3*10^6 psi
T = 3530 lbf
d = 0.3 in
dD = 2*10^-4

stress = T/A = 3530 / pi * (0.15)^2 = 49,964 lbf / in ^2
strain = stress / E = 2,461 * 10 ^ -6

poisson\'s ratio = 2*10^-4/2,461 * 10^-6 = 0.0812