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Wood Glue Bevel Joint Strength Equations and Calculator

Civil Engineering and Design

Wood Bevel Joint Glue Adhesive Joint Strength Equations and Calculator

Wood adhesive joints play an important role in modern timber engineering. In order to add value to the raw material several highly engineered wood based products have been developed. Often these involve the use of adhesive joints. Typical adhesive are distributed over contact area, assembled and then pressure is applied while adhesive cures.

Lumber tapered angle joint equations

Preview Wood Glue Joint Bevel Surfaces Strength Calculator

Allowed Tapered Joint stress in tension loading equation:

σA = SU / kT

Joint allowable stress in shear loading equation:

τA = SUS / ks

Tensile stress in joint loading equation:

σ = [ F · sin2 ( ( α · π)] / 180)) / ( b · s )

Shear stress in joint loading equation:

τ = [ F · sin ( ( α · π) / 180)) · cos ( ( α · π)] / 180 )/ ( b · s )

Strength check

σ ≤ σA & T ≤ TA

Minimum thickness of connected parts

smin = max{s1, s2}

where:

s1 = [ F · sin2 ( ( α · π ) / 180 ) ] / ( b · σA)

s2 = [ F · sin ( ( α · π ) / 180 ) · cos ( ( α · π ) / 180 )] / ( b · τA)

where:

SU = joint strength in tension of glue or adhesive [psi, MPa],
kT = tension safety coefficient (typically 2 or greater),
SUS = joint strength in shear of glue [psi, MPa],
kS = shear safety coefficient (typically 2 or greater),
F = transferred force [lb, N],
b = width (minimum) of connected lumber [in, mm],
s = thickness (minimum) of connected lumber (in, mm],
α = angle of bevel (deg.).

Reference:

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

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