In the case of simple bending, there are the following assumptions (approximations):
- Only pure bending can occur - there's no shear force, torsion nor axial load
- We consider isotropic or orthotropic homogenous material
- Only linear elasticity (up to proportionality limit) is analysed
- Initially, there's no deformation, and there's no varying cross-section
- Beam is symmetrical in the plane along which bending occurs
- Appropriate proportions make it impossible for the beam to fail in any other way than because of bending (no buckling and so on)
- Cross-section of the beam is still plane after (and during) bending - that's the primary assumption of Euler-Bernoulli beam theory.