In this paper a new theory is proposed for the shear stress evaluation; new relations have been obtained for the tangential stresses and the normal ones, generated by the shear force variability; a numerical method has been developed that gives the same values for the tangential stresses as the traditional shear stress theory and evaluates the normal stress field, by a Ritz variational procedure. A numerical application of the developed method is carried out for a bulk carrier, obtaining an appreciable redistribution of the r stresses, for the alternate holds loading condition, characterized by great values of the unit vertical shear.

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