Mechanism of the effect of transverse shifts on the stress state in the problems of plate and shell mechanics

Abstract

The work considers a series of problems on bending of shallow and flat plates under a normal load, as well as contact problems for the given plates and a solid base. The equations of a theory refined by considering transverse shifts and reduction are taken as the input equations describing the stress-strain state in plates. A systematic effect of the transverse shifts on the stress state is observed in all problems due to the fact that the graphs of bending moments from changes in curvature and from transverse shifts are in antiphase.