If Poisson's ratio for a material is 0.5, then the elastic modulus for the material is -

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RSMSSB JE Civil Diploma 2022 Official Paper
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  1. Four times its shear modulus
  2. Three times its shear modulus
  3. Indeterminate
  4. Equal to its shear modulus

Answer (Detailed Solution Below)

Option 2 : Three times its shear modulus
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Detailed Solution

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Concept:

The relationship between elastic modulus, bulk modulus and Poisson's ratio is given by

The relationship between elastic modulus, modulus of rigidity and Poisson's ratio is given by

The relationship between elastic modulus, modulus of rigidity and bulk modulus is given by

Calculations:

Given:

Poisson's ratio, μ = 0.5

E = 2G (1 + μ)

E= 2G × 1.5 = 3G

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