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In engineering applications, it is important to consider the loading distribution along the line.

The net force applied due to the distributed load is represented as a single vector, called the resultant force.

Consider an arbitrary-shaped flat plate subjected to uniform loading.

The force acting on an infinitesimal area on the plate has a magnitude equivalent to the differential volume element.

The resultant force acting on the plate is calculated by summing all the differential forces acting on the entire plate surface.

Integrating over the plate's area gives us an expression for calculating the magnitude of the resultant force, which is also equal to the total volume underneath the distributed-loading diagram.

The location of the resultant force is determined by comparing the moments of the resultant force with those of all the differential forces about their respective axes.

The obtained expressions imply that the force's line of action passes through the geometric center or centroid of the volume under the distributed-loading diagram.