### Solder Joint - Bevel Joint Calculator / Formulae

Solder Joint Design Calculations

Solder tapered angle joint equations and calculator for stress intension, stress in shear, tensile stress in brazed joint. Allowed Tapered Joint stress in tension loading equation:

σA = SU / kT

Joint allowable stress in shear loading equation:

τA = SUS / ks

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

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 solder [psi, MPa],
kT = tension safety coefficient (typically 2 or greater),
SUS = joint strength in shear of solder [psi, MPa],
kS = shear safety coefficient (typically 2 or greater),
F = transferred force [lb, N],
b = width (minimum) of connected parts [in, mm],
s = thickness (minimum) of connected parts (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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