# SHEAR STRESS (SINGLE AND DOUBLE SHEAR)

Shear stress is a kind of stress that acts parallel or tangential to the surface. The shear stress is denoted by τ (tau). Shearing stresses are commonly found in rivets, pins and bolts. If the plates, which are connected by a rivet as shown in the following figure, are subjected to tension forces, shear stresses will develop in the rivet. The shear force P in the shear plane is equal to tension force F. The average shear stress in the plane is τave= F/A. This joint is said to be in single shear. If the plates, which are connected by a rivet as shown in the following figure, are subjected to tension forces, shear stresses will develop in the rivet. This joint is said to be in double shear. To determine the average shear stress in each shear plane, free-body diagrams of rivet and of the portion of rivet located between the two planes are drawn. Observing that the shear P in each of the planes is P = F/2, the average shearing stress is τave= F/2A. ### Calculator:

 JOINT Single Shear Double Shear PARAMETERS Parameter Value Unit Tension Force (F) N kN lbf Nominal Rivet Diameter (d) mm inch RESULTS Parameter Value Unit Average Shear Stress (τave) MPa psi

Note: Use dot "." as decimal separator.

### List of Equations:

 Parameter Formula Shear Stress (Single Shear) τave= F/A Shear Stress (Double Shear) τave= F/2A

### Reference:

• Beer.F.P. , Johnston.E.R. (1992). Mechanics of Materials , 2nd edition. McGraw-Hill