Strain Energy Stored By A Beam Due To A Uniform Bending Moment - Civil Engineering

Tuesday, 21 May 2019

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

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 (M2/2EI).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)⨯fbd2
Where f is the extreme bending stress for each section.
And moment of inertia for a rectangular beam section = I = bd3/12.
So, Wi = (given below)
Strain Energy Stored By A Beam Due To A Uniform Bending Moment
Strain Energy Stored By A Beam Due To A Uniform Bending Moment
So, The strain energy stored per unit volume of the beam due to a uniform bending moment = f2/6E.
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