  In the paper a solution for equilibrium configurations of an elastic beam
subject to three points bending is given in terms of Jacobi elliptical
functions. General equations are derived and the domain of solution is
established. Several examples that illustrate a use of the solution are
discussed. The obtained numerical results are compared with results of other
authors. Approximation formula by which the beam load is given as polynomial
function of beam deflection is also derived. The range of applicability of the
approximation is illustrated by numerical example.
