The figure shows the free body diagram for the steel plate marked 1. The load on the steel plate directed away from the splice plates is 480 kilo newtons. The shear forces on both sides of the bolt have magnitude of tau times A subscript bolt and are directed opposite to the load.

Since equilibrium must be satisfied, the 480-kN force applied to the plate must be resisted by the shear force developed in the bolts. There are four bolts connecting plate (1) to the splice plates, and each bolt develops shear stress on two surfaces (i.e., parallel to both the top and bottom surfaces of the steel plate). The shear force developed on each bolt surface is the product of the shear stress and the bolt cross-sectional area. Therefore, the equilibrium equation can be written in terms of the shear stress as:

Fx=480 kN-(4 bolts) 2 surfacesboltτAbolt=0