Bending stiffness

) is the resistance of a member against bending deflection/deformation.

It is a function of the Young's modulus

Bending stiffness of a beam can analytically be derived from the equation of beam deflection when it is applied by a force.

According to elementary beam theory, the relationship between the applied bending moment

Double integration of the above equation leads to computing the deflection of the beam, and in turn, the bending stiffness of the beam.

Bending stiffness in beams is also known as Flexural rigidity.