Welding Calculator
Find the allowable load capacity of a fillet weld from its leg size, length, and the allowable shear stress.
⚡ What is Fillet Weld Strength?
Fillet weld strength is the allowable load a fillet weld can carry, determined by its effective throat thickness, length, and the allowable shear stress of the weld metal. The relationship, P = 0.707 × leg × L × τ, converts a weld's leg size (the dimension a welder actually controls) into its effective throat thickness (the dimension that resists load) using the fixed 0.707 factor from the fillet's 45-degree triangular geometry.
Structural, mechanical, and fabrication engineers use this calculation to size welded connections: bracket-to-frame joints, structural steel connections, and any lap or T-joint carrying shear load through a fillet weld. Since welders specify and measure leg size directly, while the weld's actual strength depends on the smaller throat dimension, this formula is the essential bridge between what gets welded and what the joint can actually carry.
A common point of confusion is assuming leg size directly equals the load-carrying dimension. It does not, the throat (the shortest distance from the weld root to its face) is always smaller than the leg, exactly 0.707 times the leg for a standard equal-leg fillet, which is why the 0.707 factor appears in every fillet weld strength calculation.
This calculator computes the allowable load capacity directly from your entered leg size, weld length, and allowable shear stress, showing the effective throat thickness and full step-by-step working.
📐 Formula
📖 How to Use This Calculator
Steps
💡 Example Calculations
Example 1 — Standard Bracket Weld
Leg = 6 mm, L = 100 mm, τ = 100 MPa
Example 2 — Larger Structural Connection
Leg = 8 mm, L = 150 mm, τ = 96 MPa
Example 3 — Small High-Strength Weld
Leg = 5 mm, L = 200 mm, τ = 110 MPa
❓ Frequently Asked Questions
🔗 Related Calculators
What is a fillet weld?
A fillet weld is a weld with a roughly triangular cross-section, joining two surfaces at an angle (typically 90 degrees), such as a plate to a flange or two perpendicular plates. It is the most common structural weld type because it requires no special edge preparation.
What is the formula for fillet weld strength?
P = 0.707 x leg x L x tau, where leg is the fillet weld's leg size, L is the weld length, tau is the allowable shear stress for the weld metal, and 0.707 converts leg size to the effective throat thickness for a standard 45-degree equal-leg fillet.
Why is the throat thickness 0.707 times the leg size?
For a standard equal-leg fillet weld, the throat is the shortest distance from the weld root to the hypotenuse of the triangular cross-section. For a 45-45-90 triangle with leg length 'leg', that shortest distance works out to leg divided by the square root of 2, which is leg times 0.707.
What allowable shear stress should I use?
This depends on the electrode classification and governing design code, for example AWS D1.1 typically bases allowable weld shear stress on a fraction of the electrode's classified strength (such as E70XX electrodes). Always use the value specified by your applicable structural or mechanical design code rather than an assumed default.
What units does this calculator use?
Leg size and weld length are entered in millimeters (mm), and allowable shear stress in megapascals (MPa). The resulting allowable load capacity is shown in kilonewtons (kN).
Does this formula work for unequal-leg fillet welds?
No, the 0.707 throat factor specifically applies to standard equal-leg (45-degree) fillet welds. An unequal-leg fillet weld has a different throat geometry and requires computing the actual perpendicular distance from the root to the weld face directly, not the simple 0.707 shortcut.
How does weld length affect strength differently from leg size?
Both weld length and leg size scale the load capacity linearly in this formula, but they have very different practical costs: increasing length adds weld metal proportionally, while increasing leg size adds weld metal roughly with the square of the leg size (since the triangular cross-sectional area scales as leg squared), making longer, smaller welds often more efficient than short, oversized ones.
What is the difference between a fillet weld and a groove weld?
A fillet weld has a triangular cross-section joining two surfaces without requiring the base metal edges to be shaped, calculated with the 0.707 throat-factor formula used here. A groove weld fills a prepared groove between two plate edges (like a butt weld) and typically achieves full penetration, using a different strength calculation based on the actual weld cross-section.
Why do fabrication codes exclude start and stop craters from effective weld length?
The very start and end of a weld pass often have irregular, incomplete fusion (craters) before the arc stabilizes and after it is extinguished. Structural codes typically require subtracting an allowance (often twice the weld size) from the total measured weld length to get the effective length used in strength calculations, ensuring the calculated capacity reflects only fully fused weld.
Can I use this calculator for both steel and aluminum welds?
The 0.707 throat-thickness geometry applies to any equal-leg fillet weld regardless of base metal. What changes between steel and aluminum is the allowable shear stress value, which depends on the specific filler metal, base metal, and governing code, so always use the correct allowable shear stress for your actual materials.