## Strain Energy Stored By A Beam Due To A Uniform Bending Moment

For this case, strain energy stored by the beam due to bending =

**Wi****=***∫***(M**^{2}/2EI^{).ds }=*M*^{2}*l/2EI*.

If the beam section is rectangular, with section width b and depth d and the beam is subjected to a uniform bending moment

*M*.
Now,

*M = (1/6)⨯f**bd*^{2}
Where

*is the extreme bending stress for each section.***f**
And moment of inertia for a rectangular beam section

So,

So, The strain energy stored per unit volume of the beam due to a uniform bending moment =

*= I = bd*^{3}*/12*.So,

*Wi*= (given below)Strain Energy Stored By A Beam Due To A Uniform Bending Moment |

*f*^{2}*/6E*.

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