The principal stresses at a point in a two-dimensional stress system are σ1 and σ2 and corresponding principal strains are ϵ1 and ϵ2. If E and μ denote Young’s modulus and Poisson’s ratio, then which one of the following is correct ?

Question

The principal stresses at a point in a two-dimensional stress system are σ1 and σ2 and corresponding principal strains are ϵ1 and ϵ2. If E and μ denote Young’s modulus and Poisson’s ratio, then which one of the following is correct ?

TuteeHUB · Accepted Answer

${\sigma _1} = \frac{E}{{1 - {\mu ^2}}}\;\left( {{\epsilon_1} - \mu {\epsilon_2}} \right)$

TuteeHUB · Answer

σ1 = E × G

TuteeHUB · Answer

${\sigma _1} = \frac{E}{{1 - {\mu ^2}}}\;\left( {{\epsilon_1} + \mu {\epsilon_2}} \right)$

TuteeHUB · Answer

σ1 = E (ϵ1 - μϵ2)

1.	The principal stresses at a point in a two-dimensional stress system are σ1 and σ2 and corresponding principal strains are ϵ1 and ϵ2. If E and μ denote Young’s modulus and Poisson’s ratio, then which one of the following is correct ?
A.	σ1 = E × G
B.	\({\sigma _1} = \frac{E}{{1 - {\mu ^2}}}\;\left( {{\epsilon_1} + \mu {\epsilon_2}} \right)\)
C.	\({\sigma _1} = \frac{E}{{1 - {\mu ^2}}}\;\left( {{\epsilon_1} - \mu {\epsilon_2}} \right)\)
D.	σ1 = E (ϵ1 - μϵ2)
Answer» C. \({\sigma _1} = \frac{E}{{1 - {\mu ^2}}}\;\left( {{\epsilon_1} - \mu {\epsilon_2}} \right)\)

The principal stresses at a point in a two-dimensional stress system are σ1 and σ2 and corresponding principal strains are ϵ1 and ϵ2. If E and μ denote Young’s modulus and Poisson’s ratio, then which one of the following is correct ?

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