# Fillet Weld Capacity

The calculation below determines the capacity of a fillet weld per CSA S16

## Input:

in
in
deg
deg
ksi
ksi ## Output:

1. Definitions
• ϕw = Resistance factor for welds
• Fu = Ultimate strength of base metal (ksi)
• Xu = Ultimate strength of electrode (ksi)
• Dw = Fillet weld leg size (in)
• Lw = Weld length (in)
• θ1 = Angle between longitudinal axis of weld and line of action of applied force (deg)
• θ2 = Orientation of weld closest to 90deg, in a multi-orientation weld (deg)
• Mw = Strength reduction factor for multi-orientation welds
• Aw = Area of effective weld throat (in2)
• Am = Area of effective fusion face (in2)
2. Shear capacity of base metal
• Vr,base = 0.67 ϕw Am Fu
• where Am = Dw Lw = 1.5
• Vr,base = 0.67 (0.67) (0.25*6) (65)
• Vr,base = 43.77 kip
3. Shear capacity of weld metal
• Vr,weld = 0.67 ϕw Aw Xu (1.00+0.5sin(θ1)^1.5) Mw
• where Mw = (0.85 + θ1/600)/(0.85+θ2/600) = 1
• where Aw = Lw Dw / √2 = 1.061
• Vr,weld = 0.67 (0.67) (0.25*6 / 1.414) (71) (1.5) (1)
• Vr,weld = 50.72 kip
4. Result
• Vr = min(Vr,base, Vr,weld)
• Vr = min(43.77, 50.72)
• Vr = 43.77 kip