The bending stiffness of a
beam(or a plate) relates the applied bending momentto the resulting deflection of the beam. It is the product of the elastic modulusof the beam material and the area moment of inertiaof the beam cross-section. According to elementary beam theory, the relationship between the applied bending moment and the resulting curvatureof the beam is
where is the deflection of the beam and the spatial coordinate. In the literature sometimes the above definition is given with a minus sign depending on convention.
* [http://www.efunda.com/formulae/solid_mechanics/beams/theory.cfm Efunda's beam calculator]
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