Resultants |

Force and moment resultants are convenient quantities for tracking the Recall that the stress tensor has nine components at any given point. Each little portion of the direct stress acting on the cross section creates a moment about the neutral plane ( M, _{y}M, and _{xy}M,
_{yx}where y direction; M along -_{y}x direction; M along -_{xy}x direction; and M along _{yx}y direction.
Summing the shear forces on the cross-section is the definition of the transverse shear resultants _{y},
There is one more set of force resultants that we need to define for completeness. The sum of all direct forces acting on the cross-section is known as N, and _{y}N,
_{xy}
N, _{y}N, and _{xy}N are the total _{yx}in-plane normal and shear forces within the plate at some point (x, y), yet they do not play a role in (linear) plate theory since they do not cause a displacement w.
These force and moment resultants should be in equilibrium with all external forces and moments. |