Bending stiffness

Bending stiffness

The bending stiffness E I of a beam (or a plate) relates the applied bending moment to the resulting deflection of the beam. It is the product of the elastic modulus E of the beam material and the area moment of inertia I of the beam cross-section. According to elementary beam theory, the relationship between the applied bending moment M and the resulting curvature kappa of the beam is

M = E I kappa = E I frac{mathrm{d}^2 w}{mathrm{d} x^2}

where w is the deflection of the beam and x the spatial coordinate. In the literature sometimes the above definition is given with a minus sign depending on convention.

See also

* Beam theory
* Bending
* Applied mechanics

External links

* [http://www.efunda.com/formulae/solid_mechanics/beams/theory.cfm Efunda's beam calculator]


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