### 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/mm^{2}, lbs/in^{2})

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/mm^{2}, lbs/in^{2})

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.

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