Flexural rigidity

Flexural rigidity is defined as the force couple required to bend a rigid structure to a unit curvature.

In a beam or rod, flexural regidity varies along the length as a function of x shown in the following equation:

\ EI {dy \over dx}\ = \int_{0}^{x} M(x) dx + C_1</center>

where E is the modulus of elasticity, I is the moment of inertia, and M(x) is the bending moment at x.

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See also: Flexural rigidity, Beam (structure), Couple, Curvature, Cylinder (geometry), Force, Moment (physics), Moment of inertia, Physics