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Total strain energy stored in a simply supported beam of span ‘L' and flexural rigidity ‘El’ subjected to a concentrated load ‘W at the centre is equal to
  • a)
    W2L3/40EI
  • b)
    W2L3/60EI
  • c)
    W2L2/240EI
  • d)
    W2L3/96EI     
Correct answer is option 'D'. Can you explain this answer?
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Total strain energy stored in a simply supported beam of span ‘L...
The total strain energy stored in a simply supported beam of span L and subjected to a uniformly distributed load w can be calculated using the following formula:

U = (5/384) * (wL)^2 * (1/EI)

where U is the total strain energy stored in the beam, w is the uniformly distributed load, L is the span of the beam, E is the modulus of elasticity of the beam material, and I is the moment of inertia of the beam cross-section.

This formula assumes that the beam is made of a homogeneous, isotropic material and has a rectangular cross-section. If the beam has a different cross-section or material properties, the formula may need to be modified accordingly.
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