Beam Bending Equation (Updated 18th September 2002)

From the general beam bending equation, M is the bending moment, I is the second moment of area, sigma is tensile and compressive bending stress, y is the perpendicular distance from the neutral axis, E is Young's modulus of elasticity, and R is radius of curvature.

where the curvature can also be derived as

the bending moment equation is thus given by

The product EI is sometimes referred to as the flexural rigidity of a beam.

Further details of the curvature derivation can be found here
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