A beam carries a uniform distributed load through its length. In which of the following configurations will the strain energy be maximum?

This question was previously asked in
BPSC AE Paper 5 (Civil) 11 Nov 2022 Official Paper
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  1. Fixed
  2. Simply supported
  3. Propped cantilever
  4. Cantilever

Answer (Detailed Solution Below)

Option 4 : Cantilever
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Detailed Solution

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Concept:

Strain energy:

It is defined as the energy adsorption of material due to strain under an applied load. It is also equal to the work done on a specimen by an external force. It can be denoted by U.

Where,

M = Maximum moment, E = Elastic modulus, I = Moment of inertia.

Explanation:

Strain energy will be maximum when the maximum moment will be high.

Maximum moment for different types of beam:

For the cantilever beam, 

For Fixed-beam, 

For simply supported beam, 

For propped cantilever beam, 

Hence, Strain energy for the uniformly distributed load will be maximum in the cantilever beam.

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