A cubical element of a structural part made of mild steel is subjected to a tri-axial compressive stress as shown in the figure. The vertical compressive stress is σ1. The Modulus of Elasticity and Poisson’s Ratio are E and μ, respectively. What should be the uniform lateral pressure σ2 in terms of σ1 and μ, so that lateral strain is prevented?

Question

TuteeHUB · Accepted Answer

$\frac{\mu }{{\left( {1 + \mu } \right)\left( {1 - \mu } \right)}}{\sigma _1}$

TuteeHUB · Answer

$\frac{\mu }{{1 - \mu }}{\sigma _1}$

TuteeHUB · Answer

$\frac{\mu }{{1 + \mu }}{\sigma _1}$

TuteeHUB · Answer

$\frac{{1 + \mu }}{{1 - \mu }}\sigma $

1.	A cubical element of a structural part made of mild steel is subjected to a tri-axial compressive stress as shown in the figure. The vertical compressive stress is σ1. The Modulus of Elasticity and Poisson’s Ratio are E and μ, respectively. What should be the uniform lateral pressure σ2 in terms of σ1 and μ, so that lateral strain is prevented?
A.	\(\frac{\mu }{{1 - \mu }}{\sigma _1}\)
B.	\(\frac{\mu }{{\left( {1 + \mu } \right)\left( {1 - \mu } \right)}}{\sigma _1}\)
C.	\(\frac{\mu }{{1 + \mu }}{\sigma _1}\)
D.	\(\frac{{1 + \mu }}{{1 - \mu }}\sigma \)
Answer» B. \(\frac{\mu }{{\left( {1 + \mu } \right)\left( {1 - \mu } \right)}}{\sigma _1}\)

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