Flexural rigidity of a beam is given by the product of
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In general case, when the flexural rigidity of a beam B(x) = EI is variable, the theory of such beams reduces to the solution of the differential equation, y • = − M ( x ) B ( x ) . If the loading does not include a distributed bending moment, then M′(x) = -Q(x).
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Flexural rigidity of a beam B(x) =EI is variable
Explanation:
Flexural rigidity is defined as the force couple required to bend a fixed non rigid structure in one unit of curvature.
B(x)= EI
where E = young's modulus and
I = moment of inertia of the beam
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