The figure shows the free body diagram of the beam. The reaction forces at C are C subscript x and C subscript y directed horizontally to the right and vertically upwards respectively. The load on the beam is 3.6 meters times w kilo newton per meter and it acts at a distance of 1.8 meters from C. The force along the support rod directed away from the point B is F subscript 1 at an angle of 35 degrees with the horizontal.

The limiting shear stress for the bolts is 280 MPa, and a factor of safety of 2.0 is required. The allowable shear stress is therefore:

τallow=280 MPa2.0=140 MPa

The cross-sectional area of a 16-mm diameter bolt is 201.06 mm2. When used in a double shear connection, two cross-sectional surfaces of the bolt are subjected to shear stress. The allowable bolt shear force (denoted V) is therefore:

Vallow=τallow 2Abolt       =(140 MPa)(2 surfaces)(201.06 mm2 per surface)       =56,297 N=56.3 kN

The shear force V acting on bolts A and B is equal to the axial force in member (1). As shown previously, the force in member (1) can be expressed in terms of w as:

F1=(-2.2595 m)(w kN/m)