Bending of rectangular plate in homogeneous distributed transversal loading

In this work, on the basis of classical theory by Kirchhoff and S. A. Ambartsumyan’s specified theory problems on the bending of the plate are investigated.
It is shown that in a case when the plate is leaned free from both sides, and on two others is leaned in a way of mobile connection of two parts, so, the accuracy of Kirchhoff's hypothesis is the neglecting of related thickness in comparison with unit. Formulas for deflection, moments, also for cutting forces are received. In case of narrow and wide plates the approaches for maximal deflection, cutting and generalized cutting forces are made.