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

Question

TuteeHUB · Accepted Answer

$\sigma = \frac{E}{{1 - {\mu ^2}}}\left[ {{\varepsilon _1} - \mu {\varepsilon _2}} \right]$

TuteeHUB · Answer

σ1 = E ε1

TuteeHUB · Answer

${\sigma _1} = \frac{E}{{1 - {\mu ^2}}}\left[ {{\varepsilon _1} + \mu {\varepsilon _2}} \right]$

TuteeHUB · Answer

σ1 = E (ε1 – με2)

1.	The principal stresses at a point in two-dimensional stress system are σ1 and σ2 and corresponding strains are ε1 and ε2 . If E and μ denote Young’s modulus and Poisson’s ratio respectively, then which one of the following is correct?
A.	σ1 = E ε1
B.	\({\sigma _1} = \frac{E}{{1 - {\mu ^2}}}\left[ {{\varepsilon _1} + \mu {\varepsilon _2}} \right]\)
C.	\(\sigma = \frac{E}{{1 - {\mu ^2}}}\left[ {{\varepsilon _1} - \mu {\varepsilon _2}} \right]\)
D.	σ1 = E (ε1 – με2)
Answer» C. \(\sigma = \frac{E}{{1 - {\mu ^2}}}\left[ {{\varepsilon _1} - \mu {\varepsilon _2}} \right]\)

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

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