Bolt or Pin In Double Shear Equation and Calculator

Strength / Mechanics of Materials
Beam Deflection & Structural Analysis

Bolt or Pin In Double Shear Equation and Calculator. Keep units consistant when performing calculations.

Single Shear Equation and Calculator

Bolt or Pin Double Shear Stress
Applied Force F (N, lbs) =
Bolt/Pin Diameter d (mm, in) =
Plate Thickness t (mm, in) =
Plate Thickness t1 (mm, in) =
Ultimate (Yield Min.) Stress (N/mm², lbs/in²) =
Factor of Safety =
Results
Section Area of Bolt/Pin (mm², in²) =
Shear Stress ave Bolt/Pin (N/mm², lbs/in²) =
Bearing Area Stress B_t (N/mm², lbs/in²) =
Bearing Area Stress B_t1 (N/mm², lbs/in²) =
Allowable Stress (N/mm², lbs/in²) =

Shear Stress Equation Double Shear

Shear Stress Average = Applied Force / Area
or
Shear Stress ave.= F/(2 π r ²)
or
Shear Stress ave.= 4F/(2 π d ²)

Where:
Shear Stress ave = ( N/mm², lbs/in²)
F = Applied Force (N, Lbs)
π = pi or (3.14157)
r = Radius (mm, in.)
d = Diameter (mm, in.)

Bearing Stress Equation

Bearing Area Stress for t Plate and Bolt/Pin

B_t = F / (2 t d)

Bearing Area Stress for Plates t₁and Bolt/'Pin

B_t1= F / ( t₁ d)

Where:
B_t = Bearing Area Stress Area ( N/mm², lbs/in²)
B_t1= Bearing Area Stress Area ( N/mm², lbs/in²)
F = Applied Force (N, lbs)
t = Thickness (mm, in)
d = Diameter (mm, in)

Factor of Safety

Factor of Safety = F.S = ultimate stress / allowable stress

Therefore:

allowable stress = ultimate stress / F.S.