Bolt or Pin In Single Shear Equation and Calculator

Strength / Mechanics of Materials
Beam Deflection & Structural Analysis

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

Shear Stress Equation Single Shear

Shear Stress Average = Applied Force / Area
or
Shear Stress ave.= F/( π r ²)
or
Shear Stress ave.= 4F/( 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 Area Stress Equation for Plate and Bolt or Pin

B_t= F / (t d)

Where:
B_t = 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.

Related:

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• Bolt Stress Analysis Engineering Calculator per AISC 9th Edition
• Bolt Pin Double Shear Calculations Video