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Question

A simply supported beam of span I and flexual rigidity EI carries at unit load at its mid -span. The strain energy at this condition in the beam due to bending is

A
I348EI
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B
I396EI
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C
I3192EI
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D
I316EI
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Solution

The correct option is B I396EI


Mx=Px2

SE stored in the beam =
21/20M2xdx2EI=21/20(Px/2)2dx2EI=P2l396EI

For unit load P = 1

SE=l396EI

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