Bending stiffness

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The bending stiffness is equal to the product of the elastic modulus E and the area moment of inertia I of the beam cross-section about the axis of interest. In other words, the bending stiffness is E I. 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 coordinate. In literature the above definition is sometimes used with a minus sign depending on convention.

Bending stiffness in beams is also known as Flexural rigidity.

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