ABSTRACT
Equation 8.12 provides the fundamental relationship between the bending moment applied to a beam and the resulting induced curvature of the beam’s centerline:
M ¼ EI=r (9:1) where
M is the bending moment r is the radius of curvature I is the second moment of area of the beam cross section about the neutral axis E is the modulus of elasticity
In general, the bending moment is a function of the axial position x along the beam. Thus, in view of Equation 9.1, the radius of curvature is also a function of x.
