**The
Flexion of Non-linear Elastic Beam Taking into Consideration the Material
Resistance to the Tension and Compression in Different Ways **

The problem of the pure flexion of the beam
made of non-linear elastic material is observed in the work. The link between
the stresses and deformations is taken as a grade function, which contains up to
the third degree of deformation inclusive. The accepted law of elasticity
implies different limits of solidity of the material in cases of tension and
compression of the material of the beam in different ways.