Approximate solution to three point bending equation for a simply supported beam

摘要

In this work, the authors present an approximate solution to three point bending equation for a simply supported beam of rectangular section. The deflection of the beam due to a perpendicular point – wise load is estimated for high rates of its curvature. After the deformation of the beam, the shape of its cross sectional area is assumed to remain as is. The proposed solution consists of binomial power series and does not contain elliptic integrals or other special functions. Hence, it may be more appropriate for usual engineering practices.