## 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 = âˆ«(MÂ²/2EI).ds = M2l/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)â¨¯fbdÂ²

Where f is the extreme bending stress for each section.

And the moment of inertia for a rectangular beam section is = I = bdÂ³/12. So, Wi = (given below).

So, The strain energy stored per unit volume of the beam due to a uniform bending moment is = fÂ²/6E.

**Read Also:**