When solving for the number of fasteners due to shear, which equation is used?

The correct approach for solving for the number of fasteners due to shear involves using the shear flow equation, which is expressed as ( VQ/I ). This equation is fundamental in structural engineering as it establishes the relationship between shear stress, shear force, and the geometric properties of the member.

In this context, ( V ) represents the shear force applied to the member, ( Q ) is the first moment of the area about the neutral axis, and ( I ) is the moment of inertia of the entire cross-section. By using this equation, engineers can assess how the applied shear force is distributed across the fasteners and determine how many are required to safely transfer the load.

This is particularly significant in bolted or welded connections, where the shear capacity of the fasteners must be carefully calculated to ensure structural integrity. The shear flow derived from this equation helps in understanding how the load is transmitted through the connection and aids in deciding the spacing and sizing of the fasteners.

Other options, while relevant in different contexts of structural analysis and design, do not address the calculation of the number of fasteners directly in terms of shear.