An elastic material of Young’s modulus E and Poisson’s ratio ν is subjected to a compressive stress of σ1 in the longitudinal direction. Suitable lateral compressive stress σ2 are also applied along the other two lateral directions to limit the net strain in each of lateral directions to half of the magnitude that would be under σ1 acting alone. The magnitude of σ2 is

Question

An elastic material of Young’s modulus E and Poisson’s ratio ν is subjected to a compressive stress of σ1 in the longitudinal direction. Suitable lateral compressive stress σ2 are also applied along the other two lateral directions to limit the net strain in each of lateral directions to half of the magnitude that would be under σ1 acting alone. The magnitude of σ2 is

TuteeHUB · Accepted Answer

$\frac {\nu}{(1+\nu)} \sigma_1$

TuteeHUB · Answer

$\frac {\nu}{2(1+\nu)} \sigma_1$

TuteeHUB · Answer

$\frac {\nu}{2(1-\nu)} \sigma_1$

TuteeHUB · Answer

$\frac {\nu}{(1-\nu)} \sigma_1$

1.	An elastic material of Young’s modulus E and Poisson’s ratio ν is subjected to a compressive stress of σ1 in the longitudinal direction. Suitable lateral compressive stress σ2 are also applied along the other two lateral directions to limit the net strain in each of lateral directions to half of the magnitude that would be under σ1 acting alone. The magnitude of σ2 is
A.	\(\frac {\nu}{2(1+\nu)} \sigma_1\)
B.	\(\frac {\nu}{2(1-\nu)} \sigma_1\)
C.	\(\frac {\nu}{(1+\nu)} \sigma_1\)
D.	\(\frac {\nu}{(1-\nu)} \sigma_1\)
Answer» C. \(\frac {\nu}{(1+\nu)} \sigma_1\)

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