Bending of a ribbed plate under complex loading

The article considers the problem of a rectangular plate, supported by cross system stiffening ribs, bending. In addition to transverse load, plate is subjected forces in its plane, transmitted through ribs. Аn analytical solution boundary value for resolving differential equation with respect normal deflection describing deformation stiffeners, obtained. presented form series combinations regular and special discontinuous functions, which converge quickly lead simple computational algorithm. influence ribs taken into account additional terms containing factors delta function. This approach allows us get rid number assumptions regarding interaction reinforcing elements. use apparatus generalized functions when modeling objects this type simplifies conditions (there are no conjugation various structural elements), but at same time equations become more complicated. reduced so-called partially degenerate equations. Development methods that allow obtaining exact solutions type, their introduction practice, one urgent tasks mechanics disturbed regularity.