Correct Answer - Option 1 : 0.4
Concept:
E = 2G(1 + v)
where E = Modulus of elasticity, G = Modulus of rigidity, ν = Poisons ratio.
Calculation:
Given:
Poisson's ratio, v = 0.25
the ratio of modulus of rigidity to modulus of elasticity = \(\frac{G}{E}\)
\(\frac{G}{E} = \frac{1}{{2\left( {1 + v} \right)}}\)
\(\frac{G}{E} = \frac{1}{{2\left( {1 + 0.25} \right)}}\)
\(\frac{G}{E} = 0.4\)
Hence the required value of the ratio of modulus of rigidity to modulus of elasticity is 0.4.
