Multiple choice

For an isotropic material, the relationship between the Young’s modulus (E), shear modulus (G) and Poisson’s ratio ($\mu$) is given by

  1. $G = \frac{E}{2(1 + \mu)}$
  2. $E = \frac{G}{2(1 + \mu)}$
  3. $G = \frac{E}{(1 +2 \mu)}$
  4. $G = \frac{E}{2(1 - \mu)}$
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Explanation

 $\text{We have} \hspace{0.5cm} E = 2G(1+ \mu)\\ \therefore \hspace{1.6cm} G = \frac{E}{2(1 + \mu)}$

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