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Weld Design to AISC 360 - Nominal Weld Stress, LRFD & ASD

The theory behind the AISC 360 mode of this weld calculator: the effective throat and its stresses, the nominal weld stress F_nw = 0.60·F_EXX checked in both LRFD (φ=0.75) and ASD (Ω=2.0), and CJP vs PJP groove welds - with imperial units.

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Run this method in the free calculator and export the result to Excel (.xlsx) or PDF.

The effective throat

A fillet weld is checked not on its visible leg but on its effective throat - the narrowest plane through the weld, where failure is assumed to occur. For an equal-leg fillet of leg size ss the throat is

a=s20.707sa = \dfrac{s}{\sqrt2} \approx 0.707\,s
ass
Fillet weld - leg size s and effective throat a = s/√2

All design stresses act over the throat area Aw=aLeffA_w = a\,L_{eff}, where LeffL_{eff}is the effective length (the full length for a continuous run; doubled for a double-sided fillet). The throat - not the leg - is the quantity that sets the weld's capacity.

The leg ss is what the drawing specifies - typically 4 to 12 mm, and at least comparable to the thickness of the thinner connected part so the joint cools without cracking - and the throat follows from the 0.707 factor. The effective length leaves out the start and stop craters where the weld is not full size: for an end that is not returned around the corner, a deduction of one throat at each end is common, and a fillet shorter than the greater of 30 mm or six times the leg is treated as non-load-bearing. These detailing limits are why a longer, smaller weld is often more efficient than a short, heavy one - capacity scales with length, while a thick fillet adds heat, distortion and cost.

Stresses on the throat

The applied force is resolved into three components on the throat plane: the normal stress σ\sigma_\perp, the transverse shear τ\tau_\perp (perpendicular to the weld axis) and the longitudinal shearτ\,\tau_\parallel (along the weld axis). A force perpendicular to the weld at 45° to the throat producesσ=τ\,\sigma_\perp = \tau_\perp.

τ∥τ⊥σ⊥
Stresses on the throat plane: σ⊥ (normal), τ⊥ (transverse shear), τ∥ (longitudinal shear)

AISC 360 - nominal weld stress (Chapter J2)

The American code AISC 360 sizes a fillet weld from the nominal weld stressFnw=0.60FEXX\,F_{nw} = 0.60\,F_{EXX}, where FEXXF_{EXX} is the electrode classification strength (E60–E90). The demand is the resultant stress on the effective throat a=0.707w\,a = 0.707\,w (leg ww), and the available strength is reported in both design philosophies:

LRFD:    ϕFnw=0.75FnwASD:    FnwΩ=Fnw2.0\text{LRFD:}\;\; \phi F_{nw} = 0.75\,F_{nw} \qquad \text{ASD:}\;\; \dfrac{F_{nw}}{\Omega} = \dfrac{F_{nw}}{2.0}

Both the LRFD (ϕ=0.75\phi = 0.75) and ASD (Ω=2.0\Omega = 2.0) rows are shown so you can read either; the chosen design basis selects which governs the verdict. AISC inputs may be entered in imperial units (in · kip · ksi) via the unit toggle.

Groove welds - CJP and PJP

A CJP (complete-joint-penetration) groove weld develops the base metal - checked againstϕFy\,\phi F_y (LRFD) or Fy/ΩF_y/\Omega (ASD). A PJP (partial-joint-penetration) weld is checked as weld metal (Fnw=0.60FEXXF_{nw}=0.60\,F_{EXX}) on its effective throat; a double-V groove gives two throats.

Weld groups - the "weld as a line" method

When a pattern of welds (a box, a C-shape, two lines) resists an in-plane force and a torsion moment, the classic approach treats the weld as a line of unit throat. Compute the group length LL, its centroid and the polar moment of the weld line Ip=Iy+IzI_p = I_y + I_z. The direct force per unit length isfdir=F/L\,f_{dir} = F/L; torsion adds ftor=Mrmax/Ip\,f_{tor} = M\,r_{\max}/I_p at the farthest point. The two combine as vectors at the worst corner to give the peak resultant per unit length, divided by the real throat to a stress checked against the same code limit:

fres=fdir+ftor,τ=fresaf_{res} = \left|\,\vec f_{dir} + \vec f_{tor}\,\right|, \qquad \tau = \dfrac{f_{res}}{a}

Select a weld pattern in the calculator's Weld group tab and enter the box size and the in-plane actions to get the governing utilisation.

Frequently asked questions

To EN 1993-1-8 the fillet weld is checked on its effective throat. First find the throat a = s/√2 from the leg size s, then the throat area A_w = a·L. Resolve the applied forces into the normal stress σ⊥, the transverse shear τ⊥ and the longitudinal shear τ∥ on the throat. The directional method requires √(σ⊥² + 3(τ⊥² + τ∥²)) ≤ f_u/(β_w·γ_M2) and σ⊥ ≤ 0.9·f_u/γ_M2. This calculator evaluates both conditions plus the simplified method automatically.

The effective throat a is the shortest distance from the root to the face of the weld - the plane on which the weld is assumed to fail. For an equal-leg 90° fillet of leg size s it is a = s/√2 ≈ 0.707·s. All Eurocode fillet-weld stresses act on this throat area, not on the leg face, so the throat is the key dimension in any weld strength calculation.

Both are given in EN 1993-1-8 §4.5.3. The directional method resolves the force into components normal and parallel to the throat and combines them with √(σ⊥² + 3(τ⊥² + τ∥²)) ≤ f_vw,d - it is less conservative and rewards welds loaded along their length. The simplified method ignores direction and simply requires the resultant force per unit length F_w,Ed ≤ F_w,Rd = f_vw,d·a - it is quicker and always safe. This tool reports both.

β_w is the fillet-weld correlation factor from EN 1993-1-8 Table 4.1. It accounts for the weld metal being matched to the parent steel and reduces the design weld strength f_vw,d = f_u/(β_w·γ_M2). It depends on the steel grade: 0.80 for S235, 0.85 for S275, 0.90 for S355 and 1.00 for S420/S460. A larger β_w (higher grade) gives a lower design weld strength relative to f_u.

Size the weld so the governing utilisation is ≤ 1.0. Increase the leg size s (which raises the throat a and the capacity) or the weld length L until the directional and simplified checks both pass. Practical minimums also apply (often a minimum leg of about 3 mm, and a leg not exceeding the thinner connected part). Enter trial values in the calculator and read the utilisation directly.

Ready to check a weld to AISC 360? Pick the electrode and design basis (LRFD/ASD), enter the geometry and force, and get the available strength and PASS/FAIL.

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