Аннотация:A solution to the problem of a beam composed of some preliminary strained parts (layers) subject to flexural loads is presented under large strains. An exact analytical solution of this problem is obtained for the case in which the beam is made of isotropic, nonlinear-elastic, incompressible materials. The solution is universal for this class of materials. The mathematical statement and the solution of the problem are obtained using the theory of superposition of large strains. Numerical computations are performed for the neo-Hookean material and significant nonlinear effects are discovered.