THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING
Four-point bending of thin or thick beams
A paper recently published explains the differential equations for deflection of beams under bending, including the deflection due to transversal force . The present article contains derivation of the main equations, according to the mentioned approach, for deformations of a simply supported beam that is symmetrically loaded with two forces, also known as four-point bending. These deformations are rotation and deflection of the neutral line due to bending moment and transversal force. For thick beams, deflection due to the transverse force is more than 1% from deflection caused by the bending moment. Special attention was paid to the third-point loading test. The presented model is applicable for calculating deflection due to bending moment and transverse force for both thin and thick beams.