The area of a span that is unaffected by an applied force is

The area of a span that is unaffected by an applied force is typically known as the neutral zone or neutral axis. This is the region within a structure, such as a beam, where there is no bending or deformation due to applied loads. To calculate the precise location of the neutral axis, you would need to analyze the structural properties and the distribution of forces acting on the span. This involves principles from solid mechanics and structural analysis.

To determine the neutral axis, you would typically perform a structural analysis using techniques like the method of sections or solving differential equations of equilibrium. By applying the equations of equilibrium and considering the properties of the materials involved, you can determine the forces and moments acting on the span and their distribution along its length.

Once you have the forces and moments, you can assess how they affect the beam's behavior and identify the neutral axis. In general, the neutral axis is located at the centroid (center of mass) of the cross-sectional area of the span. However, it may shift depending on factors such as the distribution of the applied loads and the shape of the cross-section.

Overall, determining the area of a span that remains unaffected by an applied force requires a thorough understanding of structural analysis principles and the ability to apply equations of equilibrium.