Dowel Pin Shear Load Stress Equations and Calculator

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Dowel Pin Shear Load Stress Equations and Calculator

Civil Engineering and Design
Machine Design and Engineering

Pin, Dowel Design Length Shear Stress and Contact Pressure Check Equations and Calculator

The following equations can be used for wood dowels or other pin materials single shear design and analysis.

Dowel Stress Check

Preview Pin, Dowel Design Length Shear Stress and Contact Pressure Check Equations and Calculator

Pin Dowel Shear Stress Equation:

τ = ( 4 · F ) / ( π · d² ) ≤ τ_A

τ_A = s_u / f_os

Contact Pressure Design Equation:

p₁ = F / ( d · s₁ ) ≤ p_1A

p_1A = s_u1 / f_os

p₂ = F / ( d · s₂ ) ≤ p_2A

p_2A = s₂ / f_os

where:

F = Force applied (lbs, N),
τ = shear stress on dowel pin [psi, MPa],
τ_A = allowable shear stress [psi, MPa],
s_u = Shear or yield strength of dowel pin material [psi, MPa],
f_os = Factor of safety for dowel pin and boards, typical 2 or greater,
d = pin diameter [in, mm],
p₁ = pressure in the top board [psi, MPa],
p₂ = pressure in the bottom board [psi, MPa],
p_1A = allowable pressure in the top board [psi, MPa],
p_2A = allowable pressure in the bottom board [psi, MPa],
s₁ = thickness of the top board [in, mm],
s₂ = thickness of the bottom board [in, mm].

Reference:

Kent's Machine Engineers Handbook, 12th Edition Design and Production, 1950 Colin Carmichael

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