where:
M = Bending Moment (Nm)
I = Moment of Inertia (m4)
E = Youngs Modulus (N/m² or Pa)
R = Radius of Curvature (m)
σ = Bending Stress (N/m² or Pa)
y = Distance from neutral axis (m)
- The material is homogeneous and isotropic.
- The material behaves according to Hooke's Law, i.e. it is linearly elastic.
- The deflections of the beam are small compared to its overall dimensions.
- The beam is sufficiently slender that shear deformations are negligible.
- The cross sections of the beam remain perpendicular to the neutral axis after bending (i.e. the beam does not undergo warping or twisting).