The strain energy stored in a body, when the load is gradually applied, is :
(where σ = Stress in the material of the body, V = Volume of the body, and E = Modulus of elasticity of the material)

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RRB JE ME CBT 2 Previous Paper 1: Held on 29 Aug 2019
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  1. σE/V 
  2. σ2E/2V
  3. σ2V/2E 
  4. σV/E

Answer (Detailed Solution Below)

Option 3 : σ2V/2E 
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Concept:

  • When a body is loaded within the elastic limit, it changes its dimensions and on the removal of the load, it regains its original dimensions.
  • So long as it remains loaded, it has stored energy in itself.
  • On removing the load, the energy stored is given off as in the case of a spring.
  • This energy, which is absorbed in a body when strained within the elastic limit, is known as strain energy.
  • The strain energy stored in a body due to external loading, within the elastic limit, is known as resilience and the maximum energy which can be stored in a body up to the elastic limit is called proof resilience.
  • Strain energy stored in a body due to tensile or compressive load or resilience:

  • Modulus of resilience: The proof resilience per unit volume of a material is known as modulus of resilience.

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