Single and Double Shear


Equation
(Eq1)    
τave =
F
A
single shear
(Eq2)    
τave =
F
2A
double shear


Nomenclature
τshear stress
Fforce
Across-sectional area of bolt


Single Shear

If plates A and B are connected by bolt C, shear will take place in bolt C in plane DD'. The bolt is in single shear. To determine the average shearing stress in the plane, free-body diagrams of bolt C and of the portion of the bolt located above the plane is drawn. Observing that the shear P = F, it can be concluded that the average shearing stress is:

(Eq1)    
τave =
P
A
 = 
F
A


Double Shear

If splice plates H and J are used to connect plates E and G, shear will take place in bolts K and L in each of the two planes MM' and NN'. The bolts are in double shear. To determine the average shearing stress in each plane, free-body diagrams of bolt L and of the portion of the bolt located between the two planes is drawn. Observing that the shear P in each of the sections is P = F/2, it can be concluded that the average shearing stress is:

(Eq2)    
τave =
P
A
 = 
F/2
A
 = 
F
2A