Figure 1 shows a shear joint. The forces acting on the bolt are perpendicular to the bolt. These tend to cut the bolt by shear rather than stretch it. Most structural bolts are shear. For example ...
The transverse load P will produce a shear force V in the positive y direction on a mathematical cut through the beam at point “a”. This shear force is directly responsible for the shear stress τ on ...
CONCLUSION: Shear stresses play an important role in the Euler-Bernoulli theory for the bending of beams when shear force resultants exist at a given cross section.